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data science

2,429 papers

#machine learning Preprint Open access Oct 2026

Data Fusion for Errors-in-Variables

We study errors-in-variables problems in which a target study contains only a single error-prone surrogate of an unobserved exposure, while an external source study provides repeated surrogate measurements from a different population. The measurement error distribution is allowed to depend on the observed error-free va...

Huali Zhao, Molei Liu, Tianying Wang · 0 citations
#machine learning Preprint Open access Oct 2026

Low-Rank and Structured Sparse Tensor Decomposition for Anomaly Detection in Multivariate Functional Data

Multivariate functional data arise in many modern manufacturing systems, where multiple sensors record densely sampled process trajectories. Monitoring such data is challenging because nominal variation is strongly correlated across samples, sensors, and time, while faults may appear either as isolated deviations or as...

Mohammad N. Bisheh, Che-Yi Liao, Kamran Paynabar · 0 citations
#artificial intelligence Preprint Open access Oct 2026

Anchor Divergence for Semantic Geometry in Contrastive Learning

This paper concerns how semantic context determines geometry in learned vector representations. Similarity is typically measured using cosine similarity, which provides a single fixed geometry. Semantic similarity, however, is inherently context dependent: two images may be similar because they depict the same object,...

Akash Kannan, Kiho Park, Victor Veitch · 0 citations
#machine learning Preprint Open access Oct 2026

Memory Prediction Excess: A Probabilistic Quantity for Predictive Gain and Memory Length in Stochastic Processes

A central question in the prediction of stochastic processes is the extent to which past information can improve the probability of correctly predicting the next state. We introduce the Memory Prediction Excess (MPE) to address this question quantitatively. The MPE measures the average improvement in prediction accurac...

Jiahao Jiang · 0 citations
#machine learning Preprint Open access Oct 2026

The Geometry of Statistical Feature Learning in Mean-Field Langevin Dynamics

We introduce a geometric formulation of statistical feature learning for supervised regression. Feature learning is defined through a base--fiber decomposition: the base is the feature-side geometry produced by training, and the fiber is the learned feature space where estimation is performed. We prove this property fo...

Zong Shang, Tomoya Wakayama, Guillaume Lecu\'e et al. · 0 citations
#artificial intelligence Preprint Open access Oct 2026

Early Memory Selection for Balanced Adam

We propose a method for choosing the shared memory parameter $\beta_1=\beta_2=\beta$ in Adam from a short pilot training. The selected $\beta$ remains fixed during the subsequent full training. A local model of Adam's normalized direction balances sampling variability against the delay introduced by averaging past grad...

Alberto Fern\'andez-Hern\'andez, Cristian P\'erez-Corral, Jose I. Mestre et al. · 0 citations
#machine learning Preprint Oct 2026

Reinforcement Learning for Hierarchical Reasoning Rewards: Minimax-Optimal Rates with Transformers

Reinforcement learning (RL) has become a standard tool for post-training language models on reasoning tasks, where the policy is updated by reward feedback while exploring the space of responses. Despite its empirical success, theoretical understanding of RL post-training remains limited, in particular of why on-policy...

Naoki Nishikawa, Taiji Suzuki · 0 citations
#machine learning Preprint Open access Oct 2026

Symmetry-Aware Feature Learning: A Polynomial Separation for Multi-Index Models

We establish a polynomial sample complexity separation between symmetry-aware and symmetry-agnostic feature learning. We study growing-rank multi-index models with high-dimensional Gaussian covariates in $\mathbb{R}^d$ and $r=\Theta(d^\delta)$ teacher directions forming a cyclic symmetry orbit, where $0<\delta<1/2$. We...

Jivan Waber, Vanessa Piccolo, Yatin Dandi et al. · 0 citations
#machine learning Preprint Open access Oct 2026

Detecting a Shift Is Not Enough: Exact Minimax Limits of Linear Representation Repair

A mean shift between two data sources can be easy to detect but hard to remove without substantially changing their representations. We cast its removal as a statistical decision problem: from noisy differences between paired calibration measurements in $\mathbb{R}^d$, learn one linear map, applied to both sources unde...

Anuar Aimoldin, Yankai Chen, Ayana Mussabayeva et al. · 0 citations
#machine learning Preprint Open access Oct 2026

Spectra: Exact Component Transport for Test-Time Prior Adaptation in Simulation-Based Inference

Simulation-based inference (SBI) has become a powerful approach to Bayesian inference in complex scientific models whose likelihoods are difficult or impossible to evaluate. Amortized SBI learns reusable inference models from simulated data, enabling rapid posterior inference for new observations, and modern generative...

Xin Zhao, Nico Scherf, Robert Trampel et al. · 0 citations
#machine learning Preprint Oct 2026

Adaptive Mean Estimation by In-Context Learning: A Gradient-Flow Analysis

Prior Fitted Networks (PFNs) such as TabPFN now rival established statistical procedures across prediction and estimation tasks. A natural explanation is that PFNs have the property of statistical adaptivity, that is, they perform nearly as well as a method tailored to the true data-generating model for a heterogeneous...

Martin Eppert, K. Balasubramanian, Subhro Ghosh et al. · 0 citations
#machine learning Preprint Open access Oct 2026

Extending Pathwise Gradients to Discrete Random Variables via Finite-Order Relaxation

Pathwise gradients are preferred for continuous random variables because they are unbiased, low variance, and work with a single sample. For discrete variables, however, the pathwise identity cannot generally be exact for every differentiable function. We propose a general framework to construct finite-order exact path...

Donghan He, Luhuan Wu · 0 citations

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Microsoft Research Blog Oct 6, 2026

What AI gets wrong and what failure teaches us

Jennifer Neville did not want to go into computer science—but that’s exactly where she landed. Neville discusses the starts and stops that led to her professional sweet spot and her work identifying “surprising failures” making it hard for AI to handle complexity.  The post What AI gets wrong and what failure teaches us appeared first on Microsoft Research.

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