2405.17430v2

# Matryoshka Multimodal Models Abstract Large Multimodal Models (LMMs) such as LLaVA have shown strong performance in visual-linguistic reasoning. These models first embed images into a fixed large number of visual tokens and then feed them into a Large Language Model (LLM). However, this design causes an excessive number of tokens for dense visual scenarios such as high-resolution images and videos, leading to great inefficiency. While token pruning and merging methods exist, they produce a single-length output for each image and cannot afford flexibility in trading off information density v.s. efficiency. Inspired by the concept of Matryoshka Dolls, we propose M 3: Matryoshka Multimodal Models, which learns to represent visual content as nested sets of visual tokens that capture information across multiple coarse-to-fine granularities. Our approach offers several unique benefits for LMMs: (1) One can explicitly control the visual granularity per test instance during inference, e.g., adjusting the number of tokens used to represent an image based on the anticipated complexity or simplicity of the content; (2) M 3 provides a framework for analyzing the granularity needed for existing datasets, where we find that COCO-style benchmarks only need around 9 visual tokens to obtain an accuracy similar to that of using all 576 tokens; (3) Our approach provides a foundation to explore the best trade-off between performance and visual token length at the sample level, where our investigation reveals that a large gap exists between the oracle upper bound and current fixed-scale representations. 1 Introduction Large Multimodal models (LMMs) [1, 2, 3, 4, 5, 6, 7] have shown strong performance in visual-linguistic understanding and reasoning. Models such as LLaVA [2, 5, 4] first embed the input image with a fixed number of visual tokens, and then feed them as prefix tokens to a Large Language Model (LLM) [8, 9] to reason about the input image. Similar model designs are borrowed in video LMMs [10, 11], where each frame contributes a fixed number of tokens to form the final video representation. In reality, the number of visual tokens can be prohibitively large in the case of high-resolution images, and even more so for long videos. Existing works [10, 4, 12, 13] mainly tackle this issue by increasing the input context length and consequently, feeding a large number e.g., 3-8k of visual tokens into the LLM. This approach has a couple of significant drawbacks: (1) the extremely long context makes both training and inference inefficient; (2) an excessive number of visual tokens can actually harm the LMM’s performance, distracting it from attending to the relevant information, as we show in Sec. 4.3. Several recent works [14, 15, 16] use heuristics to prune and merge visual tokens to reduce the sequence length. However, they produce a single-length output and do not afford control over the final sequence length, which could be useful to trade information density versus efficiency while accounting for resource constraints in the deployment phase. <details> <summary>x1.png Details</summary>  ### Visual Description ## Diagram: Matryoshka Doll & Text Generation Flow ### Overview The image depicts a diagram illustrating a process involving Matryoshka dolls (Russian nesting dolls) and text generation. A photograph of a young girl in a restaurant is shown alongside a series of speech bubbles containing generated text, seemingly linked to the dolls. The diagram suggests a hierarchical or iterative process where each doll represents a stage or level of detail in text creation. ### Components/Axes The diagram consists of the following components: * **Matryoshka Dolls:** A row of five Matryoshka dolls is positioned at the top-left of the image. They are colored in varying shades of red, pink, and white, with heart motifs on their chests. * **Mathematical Expression:** To the right of the dolls is the expression "M³". * **Photograph:** A photograph of a young girl seated at a table in a restaurant occupies the left side of the image. She is wearing a blue and white striped sweater and holding a red cup. * **Speech Bubbles:** Three speech bubbles are positioned to the right of the photograph, connected by arrows. Each bubble contains a block of text. * **Labels:** The speech bubbles are labeled "X_S1", "X_S2", and "X_SM". * **Ellipsis:** An ellipsis ("...") is present between X_S2 and X_SM, indicating that there are more stages than shown. * **"Describe this image for me." Button:** A button with this text is present in the top-right corner. ### Detailed Analysis or Content Details **Matryoshka Dolls:** The dolls are arranged in a linear fashion, decreasing in size from left to right. Each doll has a heart symbol on its chest. **Mathematical Expression:** The expression "M³" suggests a cubic relationship or a process involving three levels of transformation. **Photograph:** The girl in the photograph appears to be looking towards the camera. The restaurant setting is somewhat blurred, suggesting a focus on the girl. **Speech Bubbles:** * **X_S1:** "In the heart of a bustling restaurant, a young girl finds solace at a table..." * **X_S2:** "In the heart of a bustling restaurant, a young girl with vibrant hair is seated at a wooden table, her attention captivated by the camera..." * **X_SM:** "In the heart of a bustling restaurant, a young girl with long, dark hair is the center of attention. She’s dressed in a blue and white striped sweater… The table is adorned with a white paper bag, perhaps holding her meal. A blue Pepsi cup rests on the table..." The text in the speech bubbles progressively adds more detail about the scene depicted in the photograph. X_S1 provides a general description, X_S2 adds details about the girl's hair and attention, and X_SM provides the most specific description, including details about her clothing and the objects on the table. ### Key Observations * The Matryoshka dolls and the speech bubbles are visually linked, suggesting that each doll represents a level of detail in the text generation process. * The labels X_S1, X_S2, and X_SM likely represent stages or versions of the generated text, with "S" potentially standing for "small" and "M" for "medium" or "more detailed". * The text generation process appears to be iterative, with each stage building upon the previous one to create a more comprehensive description of the image. * The "M³" expression could represent the number of iterations or levels of detail involved in the process. ### Interpretation This diagram illustrates a process of image captioning or description generation, potentially using a model inspired by the nested structure of Matryoshka dolls. The "M³" could represent a model with three layers or stages of processing. The process starts with a broad, general description (X_S1) and progressively refines it with more specific details (X_S2, X_SM). The Matryoshka dolls symbolize the hierarchical nature of the process, where each doll contains a smaller, more detailed version of itself. The ellipsis suggests that the process could continue indefinitely, generating increasingly detailed descriptions. The diagram suggests a system that can analyze an image (the photograph of the girl) and generate a textual description of it, with the level of detail controlled by the "depth" of the Matryoshka doll being processed. This could be a visual representation of a machine learning model or an algorithm designed for image captioning. The use of Matryoshka dolls is a clever metaphor for the iterative and hierarchical nature of the process. </details> Figure 1: Matryoshka Multimodal Models. We enforce the coarser set of visual tokens $\mathbf{X}_{S_{i-1}}$ to be derived from the finer level of visual tokens $\mathbf{X}_{S_{i}}$ . As a result, the granularity of Matryoshka visual tokens gradually changes in a controllable manner. The image is from MSCOCO [17] validation set. Images and videos naturally exhibit a hierarchical structure from coarse to fine details, and our human visual system has evolved to recognize visual information in this coarse to fine manner, as shown by biologists and psychologists decades ago [18, 19]. Can we create a similar structure for LMMs, where within one suite of model weights, the visual content tokens are organized into different scales of granularities? Conceptually, our goal is to learn the visual tokens to have a nested structure, similar to the Matryoshka Doll [20]. Matryoshka Representation Learning (MRL) [20] builds the Matryoshka mechanism over a neural network’s representation vector, where each of the segments with various feature dimensions is capable of handling tasks like classification or retrieval. However, for LMMs, the inefficiency mainly comes from the number of tokens. Thus, inspired by, but different from MRL, our work is motivated to build Matryoshka Multimodal Models upon the token length dimension, so that we can flexibly adjust it. <details> <summary>extracted/5762161/figures/scale_plot_submission.png Details</summary>  ### Visual Description \n ## Line Chart: MMBench Performance vs. Number of Visual Tokens ### Overview This line chart displays the relationship between MMBench Performance and the Number of Visual Tokens for several different models. The chart shows how performance changes as the number of visual tokens increases. ### Components/Axes * **X-axis:** Number of Visual Tokens (Scale: 0 to 600, increments of 100) * **Y-axis:** MMBench Performance (Scale: 20 to 70, increments of 10) * **Legend:** Located in the bottom-right corner of the chart. * M³ (Blue line with circle markers) * LLaVA-1.5 (Orange dashed line with square markers) * Oracle under M³ (Red solid line with circle markers) * LLaVA-1.5 Specific Scale (Green solid line with 'x' markers) * Qwen-VL Chat (Yellow solid line with circle markers) * InstructBLIP-7B (Purple dashed line with circle markers) ### Detailed Analysis Here's a breakdown of each data series and their trends: * **M³ (Blue):** The line starts at approximately 65 at 0 tokens, rises slightly to around 67 at 100 tokens, plateaus around 66-67 from 100 to 600 tokens. * **LLaVA-1.5 (Orange):** This line shows a steep increase from approximately 21 at 0 tokens to around 62 at 100 tokens. It then plateaus around 62-64 from 100 to 600 tokens. * **Oracle under M³ (Red):** Starts at approximately 71 at 0 tokens, decreases to around 66 at 100 tokens, and then remains relatively stable around 65-66 from 100 to 600 tokens. * **LLaVA-1.5 Specific Scale (Green):** Starts at approximately 62 at 0 tokens, rises to around 65 at 100 tokens, and then plateaus around 64-65 from 100 to 600 tokens. * **Qwen-VL Chat (Yellow):** Starts at approximately 37 at 0 tokens, rises to around 62 at 100 tokens, and then remains relatively stable around 61-63 from 100 to 600 tokens. * **InstructBLIP-7B (Purple):** Starts at approximately 63 at 0 tokens, decreases to around 62 at 100 tokens, and then remains relatively stable around 62-63 from 100 to 600 tokens. ### Key Observations * LLaVA-1.5 exhibits the most significant performance increase with an increasing number of visual tokens, showing a rapid improvement from 0 to 100 tokens. * M³, Oracle under M³, LLaVA-1.5 Specific Scale, Qwen-VL Chat, and InstructBLIP-7B all show relatively stable performance after 100 visual tokens. * Oracle under M³ starts with the highest performance but experiences a slight decrease as the number of visual tokens increases. * Qwen-VL Chat starts with the lowest performance but shows a substantial increase with more visual tokens. ### Interpretation The chart demonstrates the impact of visual tokens on the MMBench performance of different models. The rapid initial gains observed in LLaVA-1.5 and Qwen-VL Chat suggest that these models benefit significantly from processing more visual information. The plateauing performance of other models after 100 tokens indicates that their performance reaches a saturation point, and adding more visual tokens does not yield substantial improvements. The initial high performance of Oracle under M³ followed by a slight decline could indicate that this model is highly optimized for a specific type of visual input or that it struggles with more complex scenes. The data suggests that the number of visual tokens is a crucial factor in determining the performance of these models, particularly for those that initially exhibit lower performance. The differences in performance trajectories highlight the varying capabilities and limitations of each model in handling visual information. </details> Figure 2: MMBench evaluation results under M 3, oracle under LLaVA-1.5- M 3, LLaVA-1.5 with average pooling at inference time, LLaVA-1.5 separately trained for each specific scale, and other methods. M 3 shows as least as good performance as LLaVA trained for each specific scale. A large gap exists between the oracle upperbound and model’s actual performance on a specific scale. Specifically, we propose M 3: Matryoshka Multimodal Models, which enforces an LMM to learn a hierarchy of visual representation granularities at the token sequence level, instead of the feature dimension level as in MRL [20]. With this representation, at inference time, the visual granularity can be flexibly controlled based on specific requirements, e.g., to account for the input image’s information density and efficiency constraints. Our training process is simple and straightforward. During training, we encode the image into $M$ sets of visual tokens from coarse to fine, $\mathbf{X}_{S_{i}}$ , $i=1,·s,M$ , where the number of visual tokens gradually increases, i.e., $|\mathbf{X}_{S_{i-1}}|<|\mathbf{X}_{S_{i}}|$ . And importantly, the visual tokens in a coarser level are derived from the visual tokens in a finer level, i.e., $\mathbf{X}_{S_{i-1}}⊂\mathbf{X}_{S_{i}}$ , $∀ i$ . In this way, the visual information in $[{\mathbf{X}}_{S_{1}},{\mathbf{X}}_{S_{2}},·s,{\mathbf{X}}_{S_{M}}]$ gradually includes more fine-grained details. For example, given a natural image as shown in Figure 1, $\mathbf{X}_{S_{1}}$ includes high-level semantics such as the restaurant and girl, while $\mathbf{X}_{S_{M}}$ includes more details such as the Pepsi cup and white paper bag. All other training settings, such as the loss function and model architecture, are kept the same as LLaVA [2, 5, 4]. Our approach, M 3, introduces several novel properties and benefits for LMMs. First, our approach can adaptively and efficiently represent visual content. Under one suite of weights, it generates multiple nested sets of visual tokens with different granualarities in information density. This enables flexibility in the number of visual tokens used for any image during inference, enabling control over the best tradeoff between cost and performance based on the image or video content. For example, one can use all visual tokens for images with dense details and use just a few tokens for simpler images. This flexibility can be particularly significant when handling very long visual sequences, such as videos. For instance, given a fixed budget of 2880 visual tokens, a user could represent a video of 2880 frames each with one token or represent the same video by sampling 5 frames each with 576 tokens. Second, our approach can be used as a general framework to evaluate the visual complexity of vision-language datasets or benchmarks, i.e., which level of granularity is needed in order to perform the given task correctly. Surprisingly, we find that most benchmarks, especially those mainly crafted from natural scenes (such as COCO) [21, 22, 23], can be handled well with only $\sim 9$ tokens per image. In contrast, dense visual perception tasks such as document understanding or OCR [24, 25] require a greater amount of tokens ( $144-576$ tokens) per image to handle the task well. The detailed findings are presented in Sec. 4.2. Finally, our approach provides a foundation to tackle a critical task in LMMs: How to use the least amount of visual tokens while answering the visual questions correctly?. Based on the model’s predictions on the test set, we find that compared to full visual tokens, the oracle can use far fewer tokens while performing much better. For example, under six common LMM benchmarks used in LLaVA-NeXT [4], the oracle with the trained M 3 model can use as few as 8.9 visual tokens on average to achieve performance that is 8% points better than LLaVA-NeXT which uses 576 tokens per image grid. This indicates that there is a large room for improvement compared to the oracle upperbound, as we show in Sec. 4.2. To enable further research on adaptive LMMs that learn diverse information granularities, we publicly release our code and models. 2 Related Work Large Multimodal Models. Large Language Models (LLMs) like ChatGPT [26], GPT-4 [27], and LLaMA [28] have demonstrated impressive reasoning and generalization capabilities for text. The landscape of LLMs has been significantly transformed by the recent introduction of models that also incorporate visual information, such as GPT-4V(ision) [1]. Building upon open-source LLMs [28, 8], a plethora of multimodal models have made significant strides, spearheaded by models like LLaVA [2, 5] and MiniGPT-4 [3], which combine LLaMA’s [28] language capabilities with a CLIP [29] based image encoder. Recently, LMMs on more tasks and modalities have emerged, such as region level LMMs [30, 31, 32, 33, 34], 3D LMMs [35], and video LMMs [10, 11, 12]. However, existing LMMs typically represent the visual content with a large and fixed number of tokens, which makes it challenging to scale to very long visual sequences such as high-resolution images or long-form videos. In this work, we propose to adaptively and efficiently represent the visual content by learning multiple nested sets of visual tokens, providing flexibility in the number of visual tokens used for any image during inference. Matryoshka Representation Learning. Matryoshka Representation Learning (MRL) [20] addresses the need for flexible representations that can adapt to multiple downstream tasks with varying computational resources. This approach, inspired by the nested nature of Matryoshka dolls, encodes information at different granularities within the same high-dimensional feature vector produced by a neural network. The adaptability of MRL extends across different modalities, including vision (ResNet [36], ViT [37]), vision + language (ALIGN [38]), and language (BERT [39]), demonstrating its versatility and efficiency. Recent work [40] extends MRL to both the text embedding space and the Transformer layers space. Our approach is inspired by MRL, but instead of learning multiple nested embeddings for a high-dimensional feature vector, we learn nested visual tokens along the token length dimension for the visual input. We are the first to show that the idea of Matryosha learning can enable explicit control over the visual granularity of the visual content that an LMM processes. Token Reduction. One of the main causes of inefficiency in recent LMMs is their large number of prefix visual tokens that are fed into the LLM [2, 3]. The quadratic complexity in Transformers [41] is the key issue in scaling the input sequence length for Transformers. Token reduction serves as an effective technique to reduce computational costs in Transformers. Sparse attention methods such as Linformer [42] and ReFormer [43] conduct attention operations within local windows rather than the full context, thereby reducing the quadratic complexity of the vanilla attention operation. Another notable method is Token Merging (ToMe) [14], which utilizes full attention but gradually reduces the number of tokens in each transformer block by selecting the most representative tokens through bipartite matching for the Vision Transformer (ViT). A recent work [44] further studies different families of token reduction methods for ViT. However, prior approaches produce a single length output per input image and do not offer multiple granularities over the reduced token sequence. Our M 3 approach instead learns a multi-granularity, coarse-to-fine token representation within the same model architecture and weights, enabling it to easily be adjusted to various computational or memory constraints. A concurrent work [45] shares a similar spirit with our approach, representing an image with varying numbers of visual tokens using a single set of model weights. While their method reformats the visual tokens into a sequential list via transformation layers, we use average pooling to preserve the spatial structure of the visual tokens, demonstrating effectiveness in our experiments. 3 M 3: Matryoshka Multimodal Models <details> <summary>x2.png Details</summary>  ### Visual Description \n ## Diagram: Matryoshka Multimodal Models ### Overview This diagram illustrates the architecture of "Matryoshka Multimodal Models," a system that combines image and text processing using a CLIP Image Encoder, a Granularity Controller, and a Large Language Model. The diagram depicts the flow of information from an input image and text prompt through these components to generate a textual description. ### Components/Axes The diagram consists of the following components: * **Header:** "Matryoshka Multimodal Models" in teal text. * **Image Input:** A photograph of a group of people in a snowy outdoor scene, likely a ski facility. * **CLIP Image Encoder:** A blue rounded rectangle labeled "CLIP Image Encoder." * **Granularity Controller:** A blue rounded rectangle labeled "Granularity Controller." * **Text Prompt:** A light-yellow rounded rectangle with a speech bubble icon and the text "Describe the scene for me." * **Intermediate Representations (Xs):** A series of colored rectangles (red, blue, and pink) representing intermediate image representations labeled X_S1, X_S2, ..., X_SM. * **Large Language Model:** A large, light-yellow rounded rectangle labeled "Large Language Model." * **Output Text:** A speech bubble icon with the text "There are a group of people standing in the ski facility, some of them holding a green flag while other are..." ### Detailed Analysis or Content Details The diagram shows the following flow: 1. **Image Input:** An image of people in a snowy scene is fed into the CLIP Image Encoder. 2. **CLIP Image Encoder:** The CLIP Image Encoder processes the image and generates a series of intermediate representations, denoted as X_S1 through X_SM. Each X_S is represented by a colored rectangle with a varying pattern of red and blue blocks. The number of intermediate representations (M) is not explicitly specified but is indicated by the ellipsis (...). 3. **Granularity Controller:** The output of the CLIP Image Encoder is then passed to the Granularity Controller. The diagram shows an arrow connecting the intermediate representations to the Granularity Controller. 4. **Text Prompt:** A text prompt, "Describe the scene for me," is also provided as input. 5. **Large Language Model:** Both the output from the Granularity Controller and the text prompt are fed into the Large Language Model. 6. **Output Text:** The Large Language Model generates a textual description of the scene: "There are a group of people standing in the ski facility, some of them holding a green flag while other are..." The intermediate representations (X_S1 to X_SM) are visually distinct, with varying arrangements of red and blue blocks within each rectangle. This suggests that the CLIP Image Encoder generates different levels of abstraction or granularity of the image. ### Key Observations * The diagram emphasizes the multi-stage processing of the image, from initial encoding to controlled granularity and final text generation. * The use of colored rectangles to represent intermediate representations suggests that these representations are multi-dimensional or have multiple features. * The Granularity Controller appears to play a crucial role in modulating the information flow between the image encoder and the language model. * The output text is a partial sentence, indicating that the language model can generate more extensive descriptions. ### Interpretation The diagram illustrates a multimodal model that leverages the strengths of both image and text processing. The CLIP Image Encoder extracts visual features from the image, while the Large Language Model generates natural language descriptions. The Granularity Controller likely allows for controlling the level of detail or abstraction in the generated descriptions. The "Matryoshka" metaphor (referencing Russian nesting dolls, depicted at the top of the diagram) suggests that the model processes information at multiple levels of granularity, similar to how Matryoshka dolls contain smaller dolls within them. The system aims to bridge the gap between visual and textual information, enabling machines to "understand" and describe images in a human-like manner. The diagram highlights the importance of intermediate representations and the ability to control the granularity of these representations for effective multimodal processing. The partial output text suggests the model is capable of generating coherent and contextually relevant descriptions. </details> Figure 3: Architecture of our proposed Matryoshka Multimodal Models. The visual features from CLIP are represented as several groups of coarse-to-fine visual tokens. At test time, users can explicitly control the granularity of the visual features. Our goal is to learn a Large Multimodal Model (LMM) that represents visual content as nested sets of visual tokens capturing information across multiple coarse-to-fine granularities, so that one can explicitly control the visual granularity per test instance during inference. Here we introduce how we learn a Matryoshka doll-like token sequence. LMMs such as LLaVA [2] typically input a sequence of visual tokens as prefix tokens to the LLM for visual-linguistic reasoning. The visual encoder from pretrained vision-language models, such as CLIP [29] and SigLIP [46], is typically utilized to project the images into the set of visual tokens. In particular, the CLIP visual encoder represents an input image $\mathbf{I}$ as an $H× W$ grid of visual tokens ${\mathbf{X}}_{H× W}$ , where each $\mathbf{X}_{i}∈\mathbb{R}^{C}$ is a $C$ dimensional feature vector. Our goal is to learn nested sets of visual tokens $[{\mathbf{X}}_{S_{1}},{\mathbf{X}}_{S_{2}},·s,{\mathbf{X}}_{S_{M}}]$ which encode the visual information in a coarse-to-fine manner. To this end, we enforce ${\mathbf{X}}_{S_{i}}⊂{\mathbf{X}}_{S_{i+1}},∀ i$ . Importantly, we do not introduce any new learnable parameters to the LMM. We instead optimize the CLIP visual encoder to learn the nested visual representation directly, and train the ensuing LLM to adapt to the learned nested set of tokens. For ease of exposition, we consider CLIP-ViT-L-336 [29] as the visual encoder, where an image is encoded as $24× 24$ visual tokens (576 total). We create $M$ sets of tokens e.g., $|S_{i}|∈\{1,9,36,144,576\}$ , in which the visual tokens at the coarser level are derived directly from those at the finer level. Specifically, given the initial $24× 24$ visual tokens, We sequentially apply $2× 2$ pooling with a stride 2, resulting in $12× 12,6× 6$ , and $3× 3$ visual tokens. Finally, we apply $3× 3$ pooling and get the most condensed single visual token. In this way, the sets of Matryoshka visual tokens can gradually preserve the spatial information in the original tokens while simultaneously forming a coarse-to-fine nested representation. We train M 3 by averaging the autoregressive next token prediction loss for each scale $S_{i}$ for each image $\mathbf{I}_{i}$ . Specifically, given a Matryoshka visual representation ${\mathbf{X}}_{S_{i}}$ for scale $S_{i}$ , we maximize the likelihood of the predicted tokens matching the ground-truth answer $\mathbf{X}_{\mathrm{a}}$ : $$ P(\mathbf{X}_{\mathrm{a}}\mid{\mathbf{X}}_{S_{i}},\mathbf{X}_{\text{q}})=\prod% _{j=1}^{L}P_{\boldsymbol{\theta}}(x_{j}\mid{\mathbf{X}}_{S_{i}},\mathbf{X}_{% \text{q}},\mathbf{X}_{\mathrm{a},<j}), $$ where $\boldsymbol{\theta}$ is the trainable parameters of the model, which includes both the CLIP visual encoder and the ensuing LLM. $\mathbf{X}_{\text{q}}$ denotes the question in text format, $L$ denotes the token length of the ground truth answer $\mathbf{X}_{\mathrm{a}}$ , and $\mathbf{X}_{\mathrm{a},<j}$ denotes all the ground truth answer tokens before the current prediction token $x_{j}$ , where $j$ denotes the token index during text token generation. We omit system messages for clarity, though they are part of the conditioning. Figure 3 shows our model architecture. The final objective averages over all $M$ visual token scales: $$ \min_{\boldsymbol{\theta}}\frac{1}{M}\sum_{i=1}^{M}-\log P(\mathbf{X}_{\mathrm% {a}}\mid{\mathbf{X}}_{S_{i}},\mathbf{X}_{\text{q}}). $$ With this objective function, M 3 learns nested sets of visual tokens that gradually include more details with increasing scale. For example, in Figure 1, the smaller set of visual tokens describes the whole scene at a high level while the larger set of visual tokens includes more details such as the Pepsi cup. Our training objective affords our model to conduct visual question answering under any granularity during inference. This can be particularly useful in resource constrained applications; e.g., the visual granularity can be flexibly adjusted based on the anticipated simplicity or complexity of the visual content while taking into account compute and memory constraints. 4 Experiments In this section, we first detail the experiment settings in Sec 4.1. Then we show the performance of M 3 on both image-level benchmarks 4.2 and video-level benchmarks 4.3. Finally, we analyze the behavior of Matryoshka Multimodal Models and provide ablations in Sec 4.4 and 4.5. 4.1 Experiment Settings Model We use LLaVA-1.5 [5] and LLaVA-NeXT [4] as the base LMMs, both with Vicuna 7B as the language model backbone. We finetune the whole model using the exact visual instruction data from LLaVA-1.5 and LLaVA-NeXT, respectively. The learning rate of LLM is $2× 10^{-5}$ and $1× 10^{-5}$ , respectively for LLaVA-1.5 and LLaVA-NeXT. The learning rate for the visual encoder is $2× 10^{-5}$ for both models. We train both models for 1 epoch using 8 NVIDIA H100 GPUs. Instead of training the language model from scratch, we initialize the language model weights from pre-trained LLaVA-1.5 and LLaVA-NeXT, which we empirically works better. We name our Matryoshka Multimodal Models LLaVA-1.5- M 3 and LLaVA-NeXT- M 3. Visual Token Scales We design 5 scales for the visual tokens. LLaVA-1.5 [5] and LLaVA-NeXT [4] both leverage CLIP-ViT-L-336 [29] as the visual encoder, where an image is embedded into $24× 24$ visual tokens. We gradually apply $2× 2$ pooling with stride 2, resulting in $12× 12,6× 6$ , and $3× 3$ visual tokens, where we finally apply a $3× 3$ pooling to get the final single visual token. Therefore, the size of Matryoshka visual token sets are $S∈\{1,9,36,144,576\}$ , following a nested manner. The efficiency anlaysis on the system level is shown in Appendix B, where M 3 boosts the speed of the LMM prefill process through diminished floating-point operations (FLOPs) and lessens computational memory requirements. Evaluations. For image understanding, we evaluate LLaVA-1.5 and LLaVA-NeXT on (a) diverse multimodal benchmarks: POPE [22], GQA [47], MMBench [23], VizWiz [48], SEEDBench [49], ScienceQA [50], MMMU [51], and (b) document understanding/Optical character recognition (OCR) benchmarks: DocVQA [52], ChartQA [25], AI2D [53] and TextVQA [24]. For video understanding, we use both (a) open ended video question answering benchmarks evaluated by GPT-3.5: MSVD-QA [54], MSRVTT-QA [54] and ActivityNet-QA [55]; and (b) multi-choice video question answering benchmarks: NExT-QA [56], IntentQA [57], and EgoSchema [58]. 4.2 Image Understanding LLaVA-1.5- M 3 We evaluate LLaVA-1.5- M 3 on the common multimodal understanding and reasoning benchmarks. Results are shown in Table 1. LLaVA-1.5- M 3 with full tokens maintains the performance of LLaVA-1.5 across diverse benchmarks. More importantly, our approach shows strong performance even with 1 or 9 tokens. Specifically, in MMBench, a comprehensive multimodal understanding benchmark, LLaVA-1.5- M 3 with 9 tokens surpasses Qwen-VL-Chat with 256 tokens, and achieves similar performance as Qwen-VL-Chat with even 1 token. Compared with InstructBLIP [59], LLaVA-1.5 M 3 with 9 tokens surpasses InstructBLIP-7B and InstructBLIP-13B across all benchmarks. This demonstrates that our model has both flexibility and strong empirical performance under diverse number of visual tokens. Table 1: Comparison between LLaVA-1.5- $M^{3}$ across various benchmarks under image understanding benchmarks. LLaVA-1.5- M 3 maintains the performance of LLaVA-1.5 while outperforming Qwen-VL and InstructBLIP with fewer tokens. Approach # Tokens MMBench GQA POPE VizWiz SEEDBench Qwen-VL [7] 256 38.2 59.3 - 35.2 56.3 Qwen-VL-Chat [7] 256 60.6 57.5 - 38.9 58.2 InstructBLIP-7B [59] 32 36.0 49.2 - 34.5 53.4 InstructBLIP-13B [59] 32 - 49.5 78.9 33.4 - LLaVA-1.5-7B [5] 576 64.8 62.0 85.9 54.4 60.5 LLaVA-1.5- $M^{3}$ 576 65.9 61.9 87.4 54.9 60.6 144 66.4 61.3 87.0 53.1 59.7 36 64.8 60.3 85.5 52.8 58.0 9 63.1 58.0 83.4 51.9 55.4 1 59.5 52.6 78.4 49.4 50.1 LLaVA-NeXT- M 3 We use the proposed Matryoshka Multimodal Models to finetune LLaVA-NeXT, and compare LLaVA-NeXT- M 3 with SS, which denotes the setting where the LLaVA-NeXT is trained under a S pecific S cale of visual tokens also for 1 epoch. We also include the oracle upperbound performance. Specifically, ‘Oracle’ denotes the case where the best tradeoff between visual tokens and performance is picked for each test instance. Specifically, for each test instance, we select the the scale with the fewest amount of tokens but can answer the question correctly. Results are shown in Table 2. Our approach, M 3, is at least as good as SS, while performing better on tasks such as document understanding (TextVQA and ChartQA) and common benchmarks such as MMBench [23]. Table 2: Comparison of approaches with the SS baseline and $M^{3}$ across various benchmarks under LLaVA-NeXT [4]. Here # Tokens denotes the number of visual tokens per image grid in LLaVA-NeXT. SS denotes the baseline model trained with a S pecific S cale of visual tokens. M 3 is at least as good as SS, while performing better on tasks such as TextVQA, ChartQA, and MMBench. Oracle denotes the case where the best tradeoff between visual tokens and performance is picked. # Tokens Per Grid Approach TextVQA AI2D ChartQA DocVQA MMBench POPE ScienceQA MMMU 576 SS 64.53 64.83 59.28 75.40 66.58 87.02 72.29 34.3 $M^{3}$ 63.13 66.71 58.96 72.61 67.96 87.20 72.46 34.0 144 SS 62.16 65.77 55.28 67.69 67.78 87.66 72.15 36.4 $M^{3}$ 62.61 68.07 57.04 66.48 69.50 87.67 72.32 36.1 36 SS 58.15 65.90 45.40 56.89 67.01 86.75 71.87 36.2 $M^{3}$ 58.71 67.36 50.24 55.94 68.56 87.29 72.11 36.8 9 SS 50.95 65.06 37.76 44.21 65.29 85.62 72.37 36.8 $M^{3}$ 51.97 66.77 42.00 43.52 67.35 86.17 71.85 35.2 1 SS 38.39 63.76 28.96 33.11 61.43 82.83 72.32 35.3 $M^{3}$ 38.92 64.57 31.04 31.63 62.97 83.38 71.19 34.8 Oracle # Tokens 31.39 11.54 41.78 64.09 8.90 6.08 7.43 22.85 Performance 70.51 76.36 70.76 81.73 74.35 94.29 76.07 50.44 Our results also show that dataset level biases towards the visual token scales do exist. For example, ScienceQA maintains consistent performance across all visual token scales. AI2D and MMBench only encounter a small performance drop for even as few as 9 to 1 tokens. On the other hand, dense visual perception tasks such as TextVQA and DocVQA show a significant performance drop with fewer tokens. This analysis shows that M 3 could serve as a framework to analyze the granularity that a benchmark needs. Furthermore, there is a large gap between the model’s actual performance under full tokens and the upper-bound oracle. This indicates that using full tokens cannot always result in the optimal performance for all samples; i.e., there is a large room of improvement towards the oracle point. 4.3 Video Understanding Following IG-VLM [60], we directly conduct zero-shot inference on diverse video benchmarks using LLaVA-NeXT- M 3. Specifically, 6 frames are uniformly sampled over the entire video, then arranged as a collage, which is fed into LLaVA-NeXT along with the question to get the response. Results under LLaVA-NeXT- M 3 and recent video LMMs are show in Table 3. LLaVA-NeXT- M 3 with full visual tokens again shows comparable performance with LLaVA-NeXT. More interestingly, results indicate that full visual tokens usually do not lead to the best performance in video understanding tasks. Specifically, on 4 out of 6 benchmarks, full visual tokens show less desirable performance compared to 720 or 180 visual tokens. We suspect that very long visual context could bring distraction (e.g., too much focus on potentially irrelevant background) to the model’s prediction, where a compact representation of the video focusing on the more relevant information may be more advantageous. Finally, for most video understanding tasks such as ActivityNet, IntentQA and EgoSchema, with 9 tokens per image grid (45 tokens in total), the accuracy difference compared to full tokens (2880 in total) is less than 1%. This demonstrates that the video questions in these benchmarks usually require very sparse visual information, as the source of such video understanding benchmarks mostly comes from natural scenes, which matches our observation in image understanding benchmarks. Table 3: Overall accuracy of LLaVA-NeXT- M 3 and recent video LMMs on various video understanding benchmarks. Here # Tokens denotes the overall number of visual tokens across all frames. Approach # Tokens MSVD MSRVTT ActivityNet NextQA IntentQA EgoSchema Video-LLaMA [61] - 51.6 29.6 12.4 - - - LLaMA-Adapter [62] - 54.9 43.8 34.2 - - - Video-ChatGPT [63] - 64.9 49.3 35.2 - - - Video-LLaVA [64] 2048 70.7 59.2 45.3 - - - InternVideo [65] - - - - 59.1 - 32.1 LLaVA-NeXT-7B [4] 2880 78.8 63.7 54.3 63.1 60.3 35.8 LLaVA-NeXT-7B- M 3 2880 78.2 64.5 53.9 63.1 58.8 36.8 720 79.0 64.5 55.0 62.6 59.6 37.2 180 77.9 63.7 55.0 61.4 59.3 37.6 45 75.8 63.0 53.2 59.5 58.7 38.8 5 73.5 62.7 50.8 56.5 56.7 36.2 4.4 In-depth Analysis M 3 shows much stronger performance compared to heuristics based sampling at test time. A simple way to reduce the number of visual tokens via a training-free way is to conduct heuristic token merging or reduction. In Table 4, we compare M 3 with three training-free approaches: average pooling, spatial sampling, and sequential sampling. M 3 is much more resilient when the number of tokens decreases, while the heuristic based sampling approaches show dramatic performance drop. A visualization of the spatial and sequential sampling is shown in Figure 5. Table 4: Comparison between M 3, and heuristics based sampling baselines—average pooling, spatial sampling, and sequential sampling—at inference time on MMBench with the LLaVA-NeXT architecture. # Tokens M 3 Average Pooling Spatial Sampling Sequential Sampling 576 67.96 67.18 67.18 67.18 144 69.50 61.68 65.81 60.14 36 68.56 50.77 60.05 44.76 9 67.35 45.45 45.45 31.96 1 62.97 19.33 26.29 22.42 M 3 serves as a good metric for image complexity. We extract the response from LLaVA-NeXT- M 3 in the TextVQA benchmark, and show the samples where using visual tokens across different scales can answer the question correctly and incorrectly. Shown in Figure 4, the OCR performance aligns with the complexity of the images, which indicates that M 3 can be utilized as a metric towards sample level complexity. <details> <summary>x3.png Details</summary>  ### Visual Description ## Photographs: Series of Outdoor Scenes with Question/Answer Prompts ### Overview The image consists of six separate photographs arranged horizontally. Each photograph depicts a different outdoor scene. Below each photograph is a question related to the scene, followed by information about the number of tokens, a "Correct?" indicator (checkmarks or crosses), and a breakdown of responses. The questions appear to be part of a test or evaluation of a language model's ability to understand visual information. ### Components/Axes Each section contains: * **Photograph:** A visual scene. * **Question (Q):** A textual prompt related to the photograph. * **# Tokens:** A numerical value indicating the number of tokens used in the question. * **Correct?:** A series of checkmarks (✓) and crosses (✗) indicating the accuracy of responses. * **Response Breakdown:** Numbers representing the number of responses. ### Detailed Analysis or Content Details **1. Photograph 1 (Green Border)** * **Scene:** A bicycle with a promotional advertisement attached to it, parked near a street. A sign is visible in the background. * **Question (Q):** "how much is a polos crazy bike?" * **# Tokens:** 577 * **Correct?:** ✓ ✓ ✓ ✓ * **Response Breakdown:** 144, 36, 9, 1 **2. Photograph 2 (Green Border)** * **Scene:** A "No Trespassing" sign in a park-like setting. * **Question (Q):** "what directive is the sign giving?" * **# Tokens:** 577 * **Correct?:** ✓ ✓ ✓ ✓ * **Response Breakdown:** 144, 36, 9, 1 **3. Photograph 3 (Blue Border)** * **Scene:** A street scene with traffic signs, including a sign with a number on it. * **Question (Q):** "what number is on the black and white sign?" * **# Tokens:** 577 * **Correct?:** ✓ ✓ ✓ ✓ * **Response Breakdown:** 144, 36, 9, 1 **4. Photograph 4 (Orange Border)** * **Scene:** A table with several bottles of alcohol, including a bottle labeled "Apricot Brandy". * **Question (Q):** "what brand is the apricot brandy?" * **# Tokens:** 577 * **Correct?:** ✓ ✓ ✗ ✗ * **Response Breakdown:** 144, 36, 9, 1 **5. Photograph 5 (Red Border)** * **Scene:** A nighttime view of a sports scoreboard at a baseball field. A beer company logo is visible on the scoreboard. * **Question (Q):** "what beer company is a sponsor on the score board?" * **# Tokens:** 577 * **Correct?:** ✗ ✗ ✗ ✗ * **Response Breakdown:** 144, 36, 9, 1 **6. Photograph 6 (Red Border)** * **Scene:** A baseball game in progress, with a player running on the field. A sign with a name and potentially a phone number is visible in the background. * **Question (Q):** "what is the telephone number of andrew yates?" * **# Tokens:** 577 * **Correct?:** ✗ ✗ ✗ ✗ * **Response Breakdown:** 144, 36, 9, 1 ### Key Observations * The first two photographs consistently receive "Correct?" responses. * The last four photographs have varying degrees of incorrect responses. * The "Response Breakdown" numbers (144, 36, 9, 1) are consistent across all images, suggesting they represent different levels of confidence or agreement among responses. * The questions are designed to test the ability to identify specific details within the images. ### Interpretation This image appears to be a benchmark test for a visual question answering (VQA) system. The questions are relatively simple, requiring the model to identify objects, read text, and extract specific information from the images. The "Correct?" indicators and response breakdowns provide a measure of the model's performance on each question. The decreasing accuracy in the later photographs suggests that the questions become more challenging, either due to image quality, complexity, or the subtlety of the required information. The consistent token counts suggest a standardized question format. The fact that the last two questions are marked as incorrect suggests the model struggles with identifying names and numbers from images. This could be due to font variations, image resolution, or occlusion. The test is designed to evaluate the model's ability to "see" and "understand" visual information, and to correlate that understanding with textual responses. </details> Figure 4: TextVQA test samples with correct and incorrect predictions upon different scales. Answers vary with different number of visual tokens. In addition, M 3 can serve as a framework to evaluate the complexity of images. Large gap between oracle and actual performance. As shown in Table 2, the oracle upper-bound can use very few ( $6\sim 64$ ) tokens yet achieve at least 10% better performance compared to full visual tokens. This suggests that a visual token scale predictor, where the model learns to automatically select the best visual token scale given the input images or both input images and questions, has potential to achieve a better tradeoff. This would be interesting future work. Zero-shot generalization to longer visual sequences. Here we extend the length of the visual tokens at inference time to study the model’s zero-shot generalization behavior. Results under LLaVA-NeXT are shown in Table 5. Here LLaVA-NeXT- M 3 is trained on $2× 2$ image grids but evaluated on $3× 3$ grids. We set the number of visual tokens to be 144 in each image during evaluation. The model obtains a significant improvement in document understanding by 2.12, 1.80, and 4.11 on TextVQA, ChartQA, and DocVQA, respectively, while maintaining the same performance on benchmarks mainly composed of natural scene images. $3× 3$ image grids with 144 tokens per grid own 1440 tokens, yet achieve similar performance with the default LLaVA-NeXT $2× 2$ image grids with 2880 total tokens (576 tokens per grid). This indicates it is promising to feed more subimages while making the number of visual tokens within each subimage much smaller. Table 5: Performance comparison of different image grid configurations with LLaVA-NeXT- M 3. # Grids # Tokens per grid Overall # Tokens TextVQA AI2D ChartQA DocVQA MMBench POPE ScienceQA $2× 2$ 144 720 62.61 68.07 57.04 66.48 69.50 87.67 72.32 $3× 3$ 144 1440 64.73 67.75 58.84 70.59 69.50 87.67 72.22 $2× 2$ 576 2880 63.13 66.71 58.96 72.61 67.96 87.20 72.46 <details> <summary>x4.png Details</summary>  ### Visual Description \n ## Heatmap: Sequential vs. Spatial Color Schemes ### Overview The image presents two heatmaps, labeled "(a) Sequential" and "(b) Spatial", illustrating different color scheme approaches. Both heatmaps are displayed against a blue background. The "Sequential" heatmap shows a gradient of colors along a single row at the top, while the "Spatial" heatmap displays a grid of colored squares. The image does not contain numerical data, but rather demonstrates visual representations of data distribution. ### Components/Axes * **Labels:** "(a) Sequential", "(b) Spatial" * **Color Scheme (Sequential):** A gradient of colors, starting with light blue, transitioning through shades of purple and pink, and ending with black. * **Color Scheme (Spatial):** A grid of squares filled with various colors including light blue, blue, purple, pink, orange, brown, and black. * **Background:** Uniform blue for both heatmaps. * **Grid (Spatial):** A 6x6 grid of squares. ### Detailed Analysis or Content Details **Sequential Heatmap:** The color gradient is positioned along the top edge of the heatmap. The colors transition from light blue to dark blue, then to purple, pink, and finally black. The gradient appears to be continuous, with smooth transitions between colors. **Spatial Heatmap:** The heatmap consists of a 6x6 grid of colored squares. The colors are distributed seemingly randomly across the grid. The colors present include: * Light Blue (several shades) * Blue (several shades) * Purple (several shades) * Pink (several shades) * Orange (several shades) * Brown (several shades) * Black (a few squares) The distribution of colors does not appear to follow any obvious pattern. ### Key Observations * The "Sequential" heatmap demonstrates a linear progression of color intensity, suitable for representing a single variable with a continuous range. * The "Spatial" heatmap uses a variety of colors distributed across a grid, potentially representing multiple variables or a complex relationship between data points. * The "Spatial" heatmap lacks a clear visual trend or pattern. The colors appear to be randomly assigned to the grid cells. ### Interpretation The image illustrates two different approaches to visualizing data using color. The "Sequential" scheme is appropriate for representing data that varies along a single dimension, such as time or magnitude. The "Spatial" scheme is more suitable for representing data with multiple dimensions or complex relationships, where color can be used to encode different variables or categories. The lack of a clear pattern in the "Spatial" heatmap suggests that the underlying data may be complex or noisy. Alternatively, the color scheme may not be optimized for revealing the underlying structure of the data. The image serves as a visual comparison of these two common heatmap approaches, highlighting their strengths and weaknesses. The image is a demonstration of color scheme choices, not a presentation of specific data. </details> Figure 5: Visualization of sequential and spatial sampling. Given $24× 24$ girds, the visualized cells denote the sampled tokens. 4.5 Ablation Studies We ablate the key designs in M 3, including the sampling method of Matryoshka visual tokens, and training strategy. Matryoshka visual token sampling. Here we compare three different ways to select the visual tokens for Matryoshka Multimodal Models, including average pooling, spatial sampling, and sequential sampling, which is illustrated in Figure 5. Shown in Table 6, averaging pooling shows better performance than the two alternatives across diverse benchmarks. In general, sequential sampling performs the worst. We hypothesize that this is due to the visual tokens having spatial information, while sequential sampling does not naturally align with the spatial distribution of the visual tokens. Table 6: Ablation on Matryoshka visual token sampling including average pooling, sequential sampling, and spatial sampling. TextVQA MMBench AI2D Num of Vis Tokens Avg Pooling Sequential Spatial Avg Pooling Sequential Spatial Avg Pooling Sequential Spatial 576 63.13 59.37 60.45 67.96 64.60 64.43 66.71 65.61 64.96 144 62.61 55.80 58.33 69.50 64.18 64.52 68.07 64.90 64.96 36 58.71 52.79 52.39 68.56 63.92 64.69 67.36 64.51 64.02 9 51.97 44.05 44.19 67.35 63.14 62.11 66.77 63.70 63.92 1 38.92 28.03 29.91 62.97 59.36 57.47 64.57 63.21 63.08 Table 7: Performance comparison of training LLaVA-NeXT- M 3 with and without training the LLM across diverse benchmarks. We see a clear drop when freezing the LLM. Num of Vis Tokens TextVQA MMBench AI2D DocVQA w/ LLM w/o LLM w/ LLM w/o LLM w/ LLM w/o LLM w/ LLM w/o LLM 576 63.13 61.16 67.96 63.66 66.71 63.92 72.61 69.15 144 62.61 57.79 69.50 65.21 68.07 63.73 66.48 59.77 36 58.71 49.75 68.56 63.92 67.36 62.89 55.94 44.08 9 51.97 36.15 67.35 61.08 66.77 62.05 43.52 28.36 1 38.92 19.72 62.97 51.80 64.57 60.59 31.63 17.37 Table 8: Impact of (a) initializing the LLM weights from LLaVA, and (b) averaging the loss from all scales vs randomly selecting a scale for each sample during training. Technique TextVQA AI2D Init LLM weights from LLaVA ✓ ✓ ✓ ✓ Average losses over all scales ✓ ✓ ✓ ✓ 576 60.36 62.25 61.01 63.13 62.40 65.06 65.84 66.71 144 59.61 61.02 59.80 62.61 63.67 65.61 65.77 68.07 36 54.86 55.91 55.32 58.71 63.67 65.32 66.68 67.36 9 46.84 47.04 48.80 51.97 63.02 64.83 65.38 66.77 1 33.78 33.68 36.05 38.92 61.53 63.21 63.37 64.57 Training the entire LMM vs only training CLIP. Since the nested behavior of Matryoshka visual tokens is learned within the CLIP visual encoder, we next evaluate whether it is necessary to also finetune the LLM. Shown in Table 7, training the whole LLM achieves better performance. This demonstrates that by also training the LLM, the model can better adapt to the patterns of the visual tokens distributed in the Matryoshka manner. As explained in Sec. 3 and 4.1, we (a) initialize the LLM weights from LLaVA and (b) minimize the loss averaged upon all visual token scales for each sample during training. An alternative choice is to randomly sample a visual token scale. Shown in Table 8, initializing the LLM weights from LLaVA and minimizing the losses over all scales shows consistent performance boost compared to using the vanilla text-only pre-trained LLM weights [8] and randomly selecting a visual token scale. Initializing the LLM weights from LLaVA makes the training process of M 3 more stable. By learning all scales at once, the model is forced to learn the nested behavior for each sample, which leads to better performance. 5 Conclusion and Future Work We introduced M 3: Matryoshka Multimodal Models, which learns to represent visual content as nested sets of visual tokens, capturing information across multiple coarse-to-fine granularities. LMMs equipped with M 3 afford explicit control over the visual granularity per test instance during inference. We also showed that M 3 can serve as an analysis framework to investigate the visual granularity needed for existing datasets, where we discovered that a large number of multimodal benchmarks only need as few as 9 visual tokens to obtain accuracy similar to that of using all visual tokens, especially for video understanding. Furthermore, we disclosed a large performance-efficiency gap between the oracle upper-bound and the model’s performance. Our work can be naturally extended to other domains. For example, the long context in a text-only LLM or vision tokens in dense vision tasks can also be represented as nested sets of tokens in a Matryoshka manner. One limitation of our current approach is that we are lacking an effective visual token predictor that can bridge the gap between the oracle and LMM’s actual performance at a specific scale. We believe this would be an exciting next direction of research in this space. Acknowledgement This work was supported in part by NSF CAREER IIS2150012, and Institute of Information & communications Technology Planning & Evaluation(IITP) grants funded by the Korea government(MSIT) (No. 2022-0-00871, Development of AI Autonomy and Knowledge Enhancement for AI Agent Collaboration) and (No. RS2022-00187238, Development of Large Korean Language Model Technology for Efficient Pre-training), and Microsoft Accelerate Foundation Models Research Program. References - [1] OpenAI. 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Our model is trained using the exact same architecture and data of LLaVA-1.5 [5] and LLaVA-NeXT [4]. All the concerns are same as LLaVA. Specifically, as one example, LLaVA conducts instruction tuning using GPT-4 and GPT-4V generated data. The bias from GPT-4 and GPT-4V would still exist in LLaVA. Appendix B Efficiency Analysis To illuminate the computational benefits conferred by M 3, we employ the roofline-based LLM-Viewer analysis as detailed in [66]. Our analysis is set within a hypothetical context designed to emphasize the effects of M 3 on processing efficiency in LMMs. We study the LLaVA-1.5 case where a $336× 336$ resolution image is processed using a CLIP-ViT image encoder, resulting in 576 visual tokens. Accompanied by a text prompt with an assumed number of 30 tokens, the nested visual tokens in M 3 substantially lowers the visual token count. The consequences of this reduction are substantial as outlined in Table 9, detailing the computational costs involved in the LMM prefill process. Notably, M 3 not only boosts the speed of the LMM prefill process through diminished floating-point operations (FLOPs) but also lessens computational memory requirements. It is crucial to highlight that the advantages of M 3 are not limited to just efficiency improvements. The token reduction approach of M 3 can also enhance other LMM acceleration methods, such as quantization and factorization, as referenced in [67]. This complementary relationship accentuates the broad potential of M 3 to contribute to a wider array of efficiency-boosting strategies. Table 9: Computation Cost Analysis. The development device is Tesla V100 GPU, and time estimated by the roofline model represents the theoretical performance that the hardware can achieve. | # Tokens 576 144 | FLOPs (TB) 8.0 2.2 | Prefill Time (ms) 58.1 19.5 | Total Memory (GB) 21.6 15.0 | Storing Activation (GB) 3.8 0.7 | | --- | --- | --- | --- | --- | | 36 | 0.9 | 18.0 | 13.8 | 0.3 | | 9 | 0.5 | 17.7 | 13.6 | 0.2 | | 1 | 0.4 | 17.6 | 13.5 | 0.1 | Appendix C More Visualizations on Nested Visual Representation Shown in Figure 6, with more visual tokens, LMMs can discover more details, such as furniture and human attributes. Besides, LMMs can generate higher quality descriptions with more visual tokens, as demonstrated by the OCR capability in Figure 6 (b). <details> <summary>x5.png Details</summary>  ### Visual Description \n ## Image Analysis: Two Screenshots with Text Descriptions ### Overview The image presents two screenshots, labeled (a) and (b). Both screenshots display a visual element (nested dolls and a baseball game respectively) alongside a text description generated by an AI model in response to a prompt ("Describe this image for me."). Each screenshot also includes a user profile icon and a "..." indicator suggesting further descriptions are available. The screenshots are framed by a user interface element labeled "M3". ### Components/Axes Each screenshot contains the following components: * **Visual Element:** A primary image (nested dolls in (a), baseball game in (b)). * **Text Description:** A block of text generated by an AI, providing a description of the visual element. The text is broken into three segments, each starting with "The image shows...". * **User Profile Icon:** A circular icon representing a user. * **"M3" Label:** A label at the top-left corner of each screenshot. * **"..." Indicator:** An ellipsis indicating more descriptions are available. * **X_S1, X_S2, X_SM:** Labels positioned to the right of the user profile icon. These likely represent different levels of description detail or AI model versions. ### Detailed Analysis or Content Details **Screenshot (a): Nested Dolls** * **Visual Element:** A set of Russian nesting dolls (Matryoshka dolls) arranged in a descending size order. The dolls are predominantly red with floral patterns. * **Text Description (Segment 1):** "The image shows an interior space that appears to be a living room or a combined living and dining area..." * **Text Description (Segment 2):** "The image shows an interior space that appears to be a living room or a lobby. The room has a warm color scheme with beige walls and a darker brown floor. There is a large, L-shaped sofa..." * **Text Description (Segment 3):** "The image shows an interior space that appears to be a living room or a combined living and dining area... There is a large, L-shaped sofa with a light-colored upholstery, positioned in the center of the room. In front of the sofa, there is a glass-top coffee table with various..." **Screenshot (b): Baseball Game** * **Visual Element:** A black and white photograph of a baseball game. Three players are visible in the foreground. * **Text Description (Segment 1):** "This is a black and white photograph capturing a moment from a baseball game. In the foreground, three individuals..." * **Text Description (Segment 2):** "This is a black and white photograph capturing a moment from a baseball game. In the foreground, three baseball players are standing on a field. The player on the left is wearing a baseball uniform with the name “KIMBLE” on the front, a cap, and a glove..." * **Text Description (Segment 3):** "This is a black and white photograph capturing a moment from a baseball game. In the left section, we see a player from the Kimberly team. He is dressed in a white baseball uniform with the word “KIMBERLY” emblazoned across the chest. He is holding a baseball glove, ready for action." ### Key Observations * The AI-generated descriptions are somewhat repetitive and focus on broad scene descriptions rather than specific details. * The descriptions evolve with each segment, adding more detail. * The "M3" label suggests this is part of a larger system or application. * The labels X_S1, X_S2, and X_SM likely indicate different levels of detail or model versions for the descriptions. * The text descriptions are in English. ### Interpretation The image demonstrates an AI-powered image description system. The system takes an image as input and generates a textual description. The presence of multiple description segments (X_S1, X_S2, X_SM) suggests the system can provide varying levels of detail or utilize different AI models to generate descriptions. The repetitive nature of the descriptions indicates a potential area for improvement in the AI's ability to generate concise and informative summaries. The "M3" label suggests this is a component of a larger platform, potentially a multimodal AI system. The system appears to be designed to provide accessibility features or to enable image search and retrieval based on textual descriptions. The fact that the AI identifies the baseball player's team name ("Kimberly") and uniform details demonstrates a degree of object recognition and textual understanding. </details> Figure 6: More visualization examples. With more visual tokens, LMMs can discover more details, and generate higher quality descriptions. The images are from MSCOCO [17] validation set.