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Supplementary material for TopoSRL: Topology Preserving Self-Supervised Simplicial Representation Learning

Neural Information Processing Systems

Theorem 1. Minimizing the expected loss Suppose we have T -dimensional features. Anchor nodes serve as fixed reference points within a simplicial complex, anchoring its structure and providing stability. Furthermore, anchor nodes can also represent important entities. Figure S2: Comparison of TSNE plots of representations learned by various encoders. CCA-SSG methods can not capture higher-order information and show similar artifacts. For example, the two clusters on the bottom and one from the right (corresponding to classes 1,2,3) are students from the same year but in different divisions.






IDGen: ItemDiscriminationInduced PromptGenerationforLLMEvaluation

Neural Information Processing Systems

Item Discrimination (ID) theory, which is widely used in educational assessment, measures the ability of individual test items to differentiate between high and low performers. Inspired by this theory, wepropose anID-induced prompt synthesis frameworkforevaluating LLMs to ensure the evaluation set can continually update and refine according to model abilities.