GALACTIC: Global and Local Agnostic Counterfactuals for Time-series Clustering

This paper introduces GALACTIC, a unified framework that bridges local and global counterfactual explainability for unsupervised time-series clustering by generating minimal perturbations to cross cluster boundaries and employing a provably efficient submodular optimization algorithm to derive concise, non-redundant global summaries of these transitions.

Christos Fragkathoulas, Eleni Psaroudaki, Themis Palpanas + 1 more2026-03-06🤖 cs.AI

Bayes with No Shame: Admissibility Geometries of Predictive Inference

This paper demonstrates that predictive inference is governed by four distinct, pairwise non-nested admissibility geometries—Blackwell risk dominance, anytime-valid supermartingales, marginal coverage, and Cesàro approachability—each offering a unique certificate of optimality and proving that admissibility is irreducibly relative to the chosen criterion rather than a universal property.

Nicholas G. Polson, Daniel Zantedeschi2026-03-06🔢 math

On the Statistical Optimality of Optimal Decision Trees

This paper establishes a comprehensive statistical theory for globally optimal empirical risk minimization decision trees by deriving sharp oracle inequalities and minimax optimal rates over a novel piecewise sparse heterogeneous anisotropic Besov space, thereby providing rigorous theoretical guarantees for their performance in high-dimensional regression and classification under both sub-Gaussian and heavy-tailed noise settings.

Zineng Xu, Subhroshekhar Ghosh, Yan Shuo Tan2026-03-06🔢 math

Preserving Continuous Symmetry in Discrete Spaces: Geometric-Aware Quantization for SO(3)-Equivariant GNNs

This paper proposes Geometric-Aware Quantization (GAQ), a framework that enables efficient, low-bit inference for SO(3)-equivariant Graph Neural Networks by decoupling magnitude and direction to rigorously preserve continuous symmetry, thereby achieving significant speedups and memory reductions on molecular simulation benchmarks without compromising physical consistency.

Haoyu Zhou, Ping Xue, Hao Zhang + 1 more2026-03-06🤖 cs.LG

Embedded Inter-Subject Variability in Adversarial Learning for Inertial Sensor-Based Human Activity Recognition

This paper proposes a novel deep adversarial framework that explicitly integrates inter-subject variability to learn subject-invariant feature representations, thereby significantly improving generalization and classification performance in inertial sensor-based Human Activity Recognition across unseen individuals.

Francisco M. Calatrava-Nicolás, Shoko Miyauchi, Vitor Fortes Rey + 3 more2026-03-06🤖 cs.LG

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