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data science

2,954 papers

#artificial intelligence Preprint Sep 2026

Deep Barycentric Regression for Optimal Transport Map Estimation and its Statistical Optimality

The optimal transport (OT) map provides a geometric transformation for aligning probability distributions and has become a useful tool in machine learning. However, existing estimators of the OT map still exhibit a gap between sharp statistical guarantees and practical parametric estimation based on stable training obj...

Kunwoong Kim, Insung Kong, Yongdai Kim · 0 citations
#artificial intelligence Review Sep 2026

Recovering Weak Signals with Normalizing Flows

This work proposes the use of normalizing flow models to reconstruct calibration-affected weak signals by leveraging the statistical invariance of the target signals and assuming minimal initial suppression, and effectively recovers the lost signal components.

S. Yatawatta · 0 citations
#artificial intelligence Preprint Sep 2026

The Role of Gradient Modification in Heavy-Tailed Nonconvex Stochastic Min-Max Optimization

It is shown that vanilla SGDA, without any modification to its update rule, can converge under heavy-tailed noise in both nonconvex-strongly-concave (NC-SC) and nonconvex-concave (NC-C) settings, establishing the first convergence guarantees for SGDA in these regimes.

Tian-Xiu Zhu, Yi Xu, Xiang-Yang Ji · 0 citations
#artificial intelligence Preprint Open access Sep 2026

A Generalization of Amari's Bayesian Duality

Amari's contributions to information geometry and machine learning are well known. Here, we revisit Amari's work on Bayesian duality which has not received as much attention. We connect Amari's Bayesian duality to a convex duality of Bayes' rule. Using this connection, we present a generalization of Amari's Bayesian du...

Mohammad Emtiyaz Khan, Thomas M\"ollenhoff · 0 citations
#machine learning Preprint Open access Sep 2026

Automatic knot selection in smooth additive models

B-spline regression constitutes a widely used framework for nonparametric modeling. The performance of this methodology depends on specifying the number and placement of changepoints, known as knots, prior to the estimation process. Such knot sequence determines the dimension of the B-spline basis used to represent the...

Nicol\'as Carrizosa, Vanesa Guerrero, Mar\'ia Durb\'an · 0 citations
#machine learning Preprint Open access Sep 2026

Deep Learning as Neural Low-Degree Filtering: A Spectral Theory of Hierarchical Feature Learning

Understanding how deep neural networks learn useful internal representations from data remains a central open problem in the theory of deep learning. We introduce Neural Low-Degree Filtering (Neural LoFi), a stylized limit of gradient-based training in which hierarchical feature learning becomes an explicit iterative s...

Yatin Dandi, Matteo Vilucchio, Luca Arnaboldi et al. · 0 citations
#machine learning Preprint Apr 2026

Advancing Subseasonal Forecasting with Machine Learning

Decision-makers rely on weather forecasts to plant crops, manage wildfires, allocate water and energy, and prepare for weather extremes. Today, such forecasts enjoy unprecedented accuracy out to two weeks thanks to steady advances in physics-based dynamical models and data-driven artificial intelligence (AI) models. Ho...

Hannah Guan, S. Mouatadid, Paulo Orenstein et al. · 1 citation
#machine learning Preprint Open access Sep 2026

PAC-Bayesian Reconstruction Guarantees for Time Series Variational Autoencoders

Forecasting time series accurately is critical for applications with complex data ranging from energy systems to healthcare and finance. Among current state of the art models, generative latent variable models are increasingly implemented; yet principled generalisation guarantees for modern latent variable models remai...

Chlo\'e Hashimoto-Cullen, Ghislain Agoua, Benjamin Guedj et al. · 0 citations
#machine learning Preprint Open access Sep 2026

FluxDisco: Symbolic Regression for Stoichiometric Dynamical Systems via Monte Carlo Graph Search

Dynamical symbolic regression methods identify governing differential equations from noisy data, balancing interpretability and predictive accuracy. However, standard methods often produce expressions that violate known physical laws. To address this, we propose FluxDisco, a physics-informed framework tailored for flux...

Cassandra Durr (Lancaster University), Alvaro K\"ohn-Luque (University of Oslo), Chris Jewell (Lancaster University) et al. · 0 citations
#machine learning Preprint Sep 2026

An Analysis of Self-supervised Pre-training with Dependent Samples

It is shown that pooling augmentations together, despite inter-dependencies, is a better alternative than the baseline of partitioning the data into subsets of independent data and provides an intuition behind the practical preference towards using many augmentations.

Maximilian Fleissner, D. Ghoshdastidar, Samory Kpotufe · 0 citations
#machine learning Preprint Sep 2026

Minimax Lower Bound for Estimating Diffusion-based Local Intrinsic Dimension

While diffusion-based methods have recently emerged as effective tools for probing the intrinsic geometry of high-dimensional data, their statistical difficulty remains largely unexplored. We study estimation of the finite-scale population functional underlying FLIPD (Kamkari et al., 2024; arXiv:2406.03537), a diffusio...

J. Seo, Won Yeon Jeong, Jisu Kim · 0 citations
#machine learning Preprint Sep 2026

A Constraint-Aware Generative Framework for Synthetic Origin-Destination Demand in Logistics Networks

A constraint-aware conditional generative framework for synthetic origin-destination demand generation in hierarchical logistics networks, which models demand as a conditional distribution over destinations given each origin, enabling topology-aware synthesis that is both topologically realistic and operationally feasi...

Lei-An Chen · 0 citations

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Microsoft Research Blog Oct 15, 2026

Proof-based general-purpose computing with Magnetar

Zero-knowledge proofs can verify computing results without rerunning workloads or exposing sensitive data. Magnetar helps bring them into the mainstream with support for standard programming languages, major speed gains, and quantum-resistant security. The post Proof-based general-purpose computing with Magnetar appeared first on Microsoft Research.

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