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cs.LG2026
On the Representational Geometry of Dynamic Programs
Richard F. M. Lim, Ruriko Yoshida
Standard neural architectures often fail to generalize to longer inputs for dynamic programming (DP) targets. We investigate what makes this hard geometrically. Every finite min-pl…
cs.LG2025
Tropical Attention: Neural Algorithmic Reasoning for Combinatorial Algorithms
Baran Hashemi, Kurt Pasque, Chris Teska +1
Can algebraic geometry enhance the sharpness, robustness, and interpretability of modern neural reasoning models by equipping them with a mathematically grounded inductive bias? To…
cs.LG2024
Tropical Decision Boundaries for Neural Networks Are Robust Against Adversarial Attacks
Kurt Pasque, Christopher Teska, Ruriko Yoshida +2
We introduce a simple, easy to implement, and computationally efficient tropical convolutional neural network architecture that is robust against adversarial attacks. We exploit th…