Author

Arnab Roy

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Preprint Aug 2026

A New Algebraic Algorithm for LWE

The Learning With Errors (LWE) problem, introduced by Regev in 2005, is central to modern cryptography and post-quantum security. The algorithms to solve the search version of the problem, Search-LWE, can be broadly categorised into algebraic, combinatorial and lattice-based. In this work we propose a new algebraic alg...

Luca Campa, M. Fumiani, Arnab Roy · 0 citations

#machine learning Preprint Aug 2026

Why Clipping Matters in AdaGrad? Toward a High-Probability Theory under Generalized Smoothness

This work analyzes the original same-step coordinate-wise AdaGrad under generalized smoothness and heavy-tailed noise with bounded variance and shows that clipping is a structural stabilizer of the adaptive geometry rather than merely a robustness heuristic for AdaGrad under heavy-tailed noise.

Alokendu Mazumder, Ayaan Mohd, Harshit Rawat et al. · 0 citations