Publications

2026

  1. Preprint
    Algebraic Invariants of Lightning Self-Attention
    Yulia Alexandr, Hao Duan, and Guido Montúfar
    2026
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  2. Preprint
    Algebraic Robustness Verification of Neural Networks
    Yulia Alexandr*, Hao Duan*, and Guido Montúfar
    2026
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  3. Workshop Paper
    A Numerical Study of Robustness Verification for Lightning Self-Attention
    Yulia Alexandr, Hao Duan, and Guido Montufar
    In ICML 2026 Workshop on Combining Theory and Benchmarks: Towards A Virtuous Cycle to Understand and Guarantee Foundation Model Performance, 2026
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2025

  1. Preprint
    Understanding Learning Invariance in Deep Linear Networks
    Hao Duan and Guido Montúfar
    2025
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  2. Journal Article
    Bayesian Transition Diagnostic Classification Models with Polya-gamma Augmentation
    Joseph Resch, Samuel Baugh, Hao Duan, and 4 more authors
    Psychometrika, 2025
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  3. Journal Article
    Variational Bayesian Inference for a Q-Matrix-Free Hidden Markov Log-Linear Additive Cognitive Diagnostic Model
    Hao Duan, James Tang, Matthew J. Madison, and 2 more authors
    Algorithms, 2025
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