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#machine learning Preprint Open access Oct 2026

Linearized Wasserstein dimensionality reduction with approximation guarantees

We introduce LOT Wassmap, a computationally feasible algorithm to uncover low-dimensional structures in the Wasserstein space. The algorithm is motivated by the observation that many datasets are naturally interpreted as probability measures rather than points in $\mathbb{R}^n$, and that finding low-dimensional descrip...

Alexander Cloninger, Keaton Hamm, Varun Khurana et al. · 0 citations
#machine learning Preprint Open access Oct 2026

Constructive Bounds for the Topological Expressivity of Neural Networks

The expressivity of a neural network $\Phi$ describes the class of functions that a network can express. The term topological expressivity refers to a family of measures particularly suited to understand binary classification and is often formulated in terms of the Betti numbers of a decision boundary $\beta (\Phi^{-1}...

Kosio Beshkov · 0 citations
#machine learning Preprint Open access Oct 2026

Goal-Oriented Bundle Management and Flow Control for Deep-Space Communications via Reinforcement Learning

Deep-space communications operate under intermittent connectivity, long propagation delays, and relay storage constraints. In such networks, the Bundle Protocol enables store-carry-forward communication, requiring relay nodes to manage limited storage and scarce contact opportunities. Relay-side scheduling and dropping...

Sajjad Baghaeea, Aimin Lib, Shanmugarajan Balasubramanian et al. · 0 citations
#machine learning Preprint Open access Oct 2026

DyssomniaNN: Multi-Scale Spiking Neural Modeling of Human Sleep Disorders and Perceived Restedness

Clinical sleep medicine repeatedly documents profound divergences between objective sleep duration and subjective daytime impairment, notably exemplified by sleep state misperception in paradoxical insomnia and boundary instability in narcolepsy type 1. Here, we present DyssomniaNN: a multi-scale biophysical computatio...

Daniel Szelogowski · 0 citations
#machine learning Preprint Open access Oct 2026

Hitting-Time Bounds for Asynchronous Q-Learning

We study the last iterate of standard asynchronous Q-learning from a single trajectory of a finite Markov decision process. The trajectory follows a fixed behavior policy whose state--action chain is irreducible and may be periodic. For discount factor $\gamma$, write $H=(1-\gamma)^{-1}$, and let $\mu_{\min}$ be the mi...

Yang Peng · 0 citations
#machine learning Preprint Oct 2026

Finite-Sample Guarantees for Fully Discrete Conditional Diffusion Models

We establish finite-sample guarantees for conditional diffusion models learned from data and implemented with finitely many denoising steps. Our approach aligns the score-training objective with the sampling grid, allowing statistical estimation and numerical discretization errors to be analyzed together. Under a smoot...

Qiu-Yun Zhu · 0 citations
#machine learning Preprint Oct 2026

Dream to Remember: Continual Steering of Generalist Robot Policies with World Models

Generalist robot policies are trained with imitation learning and are bounded by the quality and coverage of their demonstrations. Reinforcement learning can improve and extend them, either by fine-tuning the policy weights or by training a small module to steer the input noise of a frozen generative policy. When tasks...

Bahey Tharwat, Iman Nematollahi, Marvin Alles et al. · 0 citations
#machine learning Preprint Oct 2026

Diversity-Aware Ensemble of Quantum-Classical Models via Combinatorial Fusion

Variational quantum circuits (VQCs) are highly sensitive to circuit architecture, yet most quantum machine learning pipelines select a single best design and discard the remaining candidates. This paper addresses whether the structural diversity across quantum circuit search spaces can be used to produce stronger predi...

Jing-Yan Xu, Yuan-Hong Wu, Samuel Yen-Chi Chen et al. · 0 citations
#machine learning Preprint Open access Oct 2026

Constrained Probabilistic Numerics: Gaussian Process Solvers for Linear PDEs under Linear Inequality Constraints

Gaussian process solvers for linear partial differential equations (PDEs) return posteriors rather than point estimates, but they condition only on equality information: the PDE residual, boundary data, and measurements. Many solutions of interest also obey inequality constraints, including nonnegativity, monotonicity,...

Boyuan Deng, Kshitiz Upadhyay, Michael Shields · 0 citations
#machine learning Preprint Open access Oct 2026

Adaptive Variance Reduction without Knowing Oracle Smoothness

Variance reduction improves the convergence rate of stochastic non-convex optimization under the average smoothness condition. Existing adaptive variance reduction methods are especially designed for average smoothness and do not adapt to standard smoothness. In this paper, we study how one algorithm can adapt to these...

Wei Jiang, Yibo Wang, Zechao Li · 0 citations
#machine learning Preprint Oct 2026

Optimal Algorithms for Nonsmooth Nonconvex Stochastic Optimization with Constraints

We present new algorithms for stochastic optimization problems in which the objective is neither smooth nor convex, subject to a convex constraint set. Our algorithms return a $(\delta,\varepsilon)$-Goldstein stationary point, as recently defined for constrained problems by Liu et al. (2024), with improved complexities...

G. Buzaglo, Guy Kornowski · 0 citations
#machine learning Preprint Oct 2026

Geometry-Aware Multi-Objective Optimization: Norm-Constrained Oracles with Entropic Weight Updates

Multiple-gradient descent is typically formulated in Euclidean geometry, whereas matrix-aware optimizers use directions induced by other norms. We analyze a single-loop multi-objective method combining a norm-constrained linear minimization oracle with entropic updates of task weights. For any finite-dimensional norm p...

El Mahdi Chayti, Alireza Mirrokni, Martin Jaggi · 0 citations

From tech blogs

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Microsoft Research Blog Oct 12, 2026

Simulating student learning for better AI tutoring

StudentSim is a research system for evaluating and improving AI tutoring tools before they are tested with learners. It models how individuals may engage with tutors, giving feedback to improve tutor performance across subjects like chess, writing, and mathematics. The post Simulating student learning for better AI tutoring appeared first on Microsoft Research.

MIT News · Artificial Intelligence Oct 7, 2026

Discovering the value of humanistic inquiry

Students in MIT’s Concourse program delve deeply into the human condition, debate challenging questions, and learn to develop judgment about issues that can’t be quantified.

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