Kraus Constrained Sequence Learning For Quantum Trajectories from Continuous Measurement

This paper proposes a physically constrained neural sequence learning framework that employs a Kraus-structured output layer to guarantee completely positive trace-preserving (CPTP) quantum state updates, demonstrating that a Kraus-LSTM architecture significantly outperforms unconstrained models and other backbones in reconstructing quantum trajectories under parameter drift.

Priyanshi Singh, Krishna Bhatia2026-03-06🤖 cs.LG

Thermodynamic Response Functions in Singular Bayesian Models

This paper establishes a unified thermodynamic response framework for singular Bayesian models, demonstrating that posterior tempering induces a hierarchy of observables that naturally interpret complex learning-theoretic quantities like the real log canonical threshold and WAIC as free-energy derivatives, thereby revealing phase-transition-like structural reorganizations in models such as neural networks and Gaussian mixtures.

Sean Plummer2026-03-06🔢 math

GeoTop: Advancing Image Classification with Geometric-Topological Analysis

GeoTop is a mathematically principled framework that unifies Topological Data Analysis and Lipschitz-Killing Curvatures to resolve the diagnostic ambiguity of topologically equivalent structures by integrating robust topological signatures with precise geometric features, thereby achieving superior accuracy and interpretability in image classification tasks such as skin lesion diagnosis.

Mariem Abaach, Ian Morilla2026-03-05🤖 cs.LG

Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivity

This paper presents a sample-optimal, locally differentially private algorithm for hypothesis selection that achieves the information-theoretic lower bound of Θ(k/(α2min{ε2,1}))\Theta(k/(\alpha^2 \min\{\varepsilon^2, 1\})) using only O(loglogk)O(\log \log k) rounds of interaction, thereby demonstrating the provable power of interactivity to overcome the Ω(klogk)\Omega(k \log k) sample complexity barrier inherent in non-interactive approaches.

Alireza F. Pour, Hassan Ashtiani, Shahab Asoodeh2026-03-05🤖 cs.LG

A Review of Reward Functions for Reinforcement Learning in the context of Autonomous Driving

This paper reviews and categorizes existing reward functions for reinforcement learning in autonomous driving into safety, comfort, progress, and traffic rule compliance, while highlighting their current limitations in standardization and context-awareness to propose future research directions for more robust and conflict-resolving reward designs.

Ahmed Abouelazm, Jonas Michel, J. Marius Zoellner2026-03-05🤖 cs.AI