## Diagram Type: Flowchart ### Overview The image is a flowchart that illustrates the process of training and generalizing a model using atomic facts and inferred facts. The flowchart is divided into three main sections: Training, Systematic Generalization, and Depth Extrapolation. ### Components/Axes - **Training**: This section is divided into three subsections: Atomic facts (1-hop facts), Held-out atomic facts (1-hop facts), and Inferred facts (k-hop facts). - **Systematic Generalization**: This section is composed of held-out atomic facts and shows the process of generalizing from these facts. - **Depth Extrapolation**: This section shows the extrapolation of the model beyond the training hop depth. ### Detailed Analysis - **Training**: - **Atomic facts (1-hop facts)**: These are the initial facts that the model is trained on. The flowchart shows the relationships between these facts (e.g., e1 → e2, e2 → e3). - **Held-out atomic facts (1-hop facts)**: These are the facts that are held out from the training set to test the model's generalization ability. The flowchart shows the relationships between these facts (e.g., e1 → e5, e5 → e6). - **Inferred facts (k-hop facts)**: These are the facts that are inferred from the atomic facts and held-out atomic facts. The flowchart shows the relationships between these facts (e.g., e1 → e2 → e3, e2 → e3 → e4). - **Systematic Generalization**: This section shows the process of generalizing from the held-out atomic facts. The flowchart shows the relationships between the held-out facts and the inferred facts. - **Depth Extrapolation**: This section shows the extrapolation of the model beyond the training hop depth. The flowchart shows the relationships between the inferred facts and the extrapolated facts. ### Key Observations - The flowchart shows that the model is trained on atomic facts and inferred facts, and then generalizes from these facts. - The held-out atomic facts are used to test the model's generalization ability. - The extrapolation of the model beyond the training hop depth is shown in the Depth Extrapolation section. ### Interpretation The flowchart illustrates the process of training and generalizing a model using atomic facts and inferred facts. The model is trained on atomic facts and inferred facts, and then generalizes from these facts. The held-out atomic facts are used to test the model's generalization ability, and the extrapolation of the model beyond the training hop depth is shown. The flowchart demonstrates the importance of training on a diverse set of facts to ensure that the model can generalize well to new data.