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#machine learning Preprint Aug 2026

Sharp Restricted Isometry Thresholds for Global Minima of Rank-Restricted Matrix LASSO

We determine the sharp restricted isometry threshold for recovery at global minima of the rank-restricted matrix LASSO. For target rank $r_{\star}$, if the rank-$k$ RIP constant satisfies $\delta<\delta_{\mathrm{sharp}}(k/r_{\star})$, where $\delta_{\mathrm{sharp}}(t)=t/(4-t)$ for $0<t<4/3$ and $\delta_{\mathrm{sharp}}...

Richard Y. Zhang · 0 citations
#machine learning Preprint Aug 2026

Jigsaw-CRL: Recovering Global Latent Causal Order from Fragmented Multi-Client Interventions

This work proposes Jigsaw-CRL, a framework for recovering global latent causal order from a fragmented multi-client setting, where multiple clients interact with the same global latent causal system but each client only accesses and intervenes on a subset of the latent variables.

Hai-Jie Xu, Chen Zhang · 0 citations
#artificial intelligence Preprint Aug 2026

The information geometry of product-reference discrete diffusion: Interaction growth complexity and optimal scheduling

The aggregate IGC mass admits bounds in terms of total correlation and dual total correlation, thereby connecting the pathwise geometry to classical measures of multivariate dependence and connecting the pathwise geometry to classical measures of multivariate dependence.

Martin J. Wainwright · 0 citations
#artificial intelligence Preprint Aug 2026

Representation Learning with Quantum Signal Processing

This work establishes quantum signal processing (QSP) as a solvable quantum model of the representation-learning regime, and proves a sparse-data guarantee for the full nonlinear gradient flow without freezing or ensemble-averaging the kernel.

Jun-Qin Wang, Jun-Yu Liu · 0 citations
#machine learning Preprint Aug 2026

Quantitative Target Convergence and Uniform-in-Time Propagation of Chaos for Langevin-Regularized SVGD

We establish quantitative convergence to the target and uniform-in-time propagation of chaos for Langevin-regularized Stein variational gradient descent. The Stein interaction need not be small relative to the confining Langevin drift and does not generally yield a contractive particle coupling. At the mean-field level...

Sayan Banerjee, Dohyeon Kim · 1 citation · ⚡1
#machine learning Preprint Aug 2026

Sharp Approximation Rates for Neural Networks with Affine Latent Parameterizations

The result shows that even a fixed-dimensional latent space suffices to achieve vanishing approximation error as the network budget increases, and it is proved that the optimal worst-case uniform approximation error over the unit ball ofolder functions on $[0,1]^d$ has the sharp order.

Shi-Jun Zhang · 0 citations
#machine learning Preprint Aug 2026

Selection-Aware Stress Testing for Interactive Agents

This work introduces Selection-Aware Semantic Stress Testing (\SASST{}), which learns a task reweighting from pre-execution features on discovery tasks and evaluates the same paired comparison on separate confirmation tasks.

Yang Xu, Chenang Li, Jiefu Zhang et al. · 0 citations
#machine learning Preprint Aug 2026

Confounding Masquerading as Improvement: A Systematic Evaluation of Offline Reinforcement Learning for Stroke Antithrombotic Treatment in a 129,000-Patient Registry

This work conducts a systematic, partially crossed evaluation of five offline RL algorithm families and 14 reward designs in 44,894 post-2018 acute ischemic stroke patients from a nationwide registry, and provides an empirically motivated six-step evaluation checklist.

Kihun Rhee · 0 citations
#machine learning Preprint Aug 2026

Learning PDE Time-Stepping with Neural Cellular Automata

This paper proposes a trainable Neural Cellular Automata (NCA) based surrogate model for learning long time PDE dynamics that achieves the lowest long-horizon relative errors on the majority of the experiments.

Esha Saha, Hao Wang · 0 citations
#artificial intelligence Preprint Aug 2026

SS-ESOAP: Self-Scaled Adaptive Preconditioning for Physics-Informed Learning

Method is introduced, which augments SOAP-style preconditioning with a scalar secant-energy correction adapted to Kronecker geometry and an adaptive basis update followed by variance-state downscaling, and is positioned as a scalable option for stiff, high-accuracy physics-informed training, rather than a uniform repla...

Guang-Yuan Wang, Mads Toftrup, Sebastian Loeschcke et al. · 0 citations

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