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Tutorial on Hybrid Interdependence Function

Author: Jiawei Zhang
(Released: December 10, 2024; Latest Revision: December 10, 2024.)
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In this tutorial, you will learn

  • what is hybrid interdependence function,
  • how to define hybrid interdependence function in tinybig,
  • how to calculate hybrid interdependence matrices,
  • how to use the function to process graph data.

Many materials used in this tutorial are prepared based on the Sections 5.2-5.3 of [2], and readers are also recommended to refer to those two sections of the paper for more detailed technical descriptions when you are working on this tutorial.

References:

[2] Jiawei Zhang. RPN 2: On Interdependence Function Learning Towards Unifying and Advancing CNN, RNN, GNN, and Transformer. ArXiv abs/2411.11162 (2024).

1. What is Hybrid Interdependence?

2. How to Model Hybrid Interdependence?

3. Examples of Hybrid Interdependence Functions.

4. Hybrid Interdependence Function for Graph Data.

5. Hybrid Interdependence Function instantiation from Configs.

6. Conclusion.