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data science

3,822 papers

Prequential posteriors

This work introduces prequential posteriors, based upon a predictive-sequential (prequential) loss function, and proves that, under mild conditions, both the prequential loss minimizer and the prequential posterior concentrate around parameters with optimal predictive performance.

S. Roy, R. Everitt, Christian P. Robert et al. · 0 citations
#machine learning Preprint Sep 2025

Probabilistic Symbolic Regression for Equation Discovery via Operator-induced and Regularized Symbolic Forests

This work introduces a probabilistic symbolic regression framework that represents mathematical expressions as ensembles of symbolic trees, and develops posterior concentration guarantees when symbolic expressions approximate the underlying relationship arbitrarily well, with a near-parametric rate when an exact finite...

Somjit Roy, Pritam Dey, B. Mallick et al. · 1 citation · ⚡1

Improved off-policy training of diffusion samplers

This work benchmarks several diffusion-structured inference methods, including simulation-based variational approaches and off-policy methods (continuous generative flow networks), and proposes a novel exploration strategy for off-policy methods, based on local search in the target space with the use of a replay buffer...

Marcin Sendera, Minsu Kim, Sarthak Mittal et al. · 52 citations · ⚡7

Joint Bayesian Inference of Graphical Structure and Parameters with a Single Generative Flow Network

This paper proposes a method to approximate the joint posterior over not only the structure of a Bayesian Network, but also the parameters of its conditional probability distributions, using a single GFlowNet whose sampling policy follows a two-phase process.

T. Deleu, Mizu Nishikawa-Toomey, Jithendaraa Subramanian et al. · 65 citations · ⚡4

Trajectory Balance: Improved Credit Assignment in GFlowNets

It is proved that any global minimizer of the trajectory balance objective can define a policy that samples exactly from the target distribution, and empirically demonstrate the benefits of the trajectories balance objective for GFlowNet convergence, diversity of generated samples, and robustness to long action sequenc...

Esmeralda S. Whitammer, Moksh Jain, Emmanuel Bengio et al. · 302 citations · ⚡60
#machine learning Preprint Aug 2026

Learning between the peaks: sharp asymptotics for kernel ridge regression under power-law anisotropy

Together, the results clarify how the input geometry shapes the kernel features and fundamentally impacts its generalization properties and clarify how the input geometry shapes the kernel features and fundamentally impacts its generalization properties.

L. Rizzi, Arie Wortsman Zurich, Bruno Loureiro · 0 citations
#machine learning Preprint Aug 2026

Generalized Splines and Gaussian Processes

For finite-dimensional linear inverse problems where the variables are Gaussian, it is well-known that the minimum-mean-square error estimator takes the form of a regularized least-squares data fit. In this chapter, we show that this equivalence extends to a much broader infinite-dimensional setting where generalized s...

Michael Unser · 0 citations
#machine learning Preprint Aug 2026

Localizing Global Discrepancies: Marginal Contributions and Contextual Anomaly Detection

A framework for this localization problem is developed by assigning to each observation its conditional or marginal contribution across random statistical contexts, which connects resampling diagnostics and data valuation to projection theory and event-level anomaly detection.

Tommaso Dorigo · 0 citations
#machine learning Preprint Aug 2026

On the Computational and Statistical Efficiency of the Empirical Maximum Entropy on the Mean Method

It is shown that the MEM dual problem admits a reformulation as an expected risk minimization problem, thereby placing MEM within the modern framework of stochastic optimization and enabling scalable stochastic gradient algorithms for large-scale inverse problems.

Matthew King-Roskamp, Gabriel Rioux, R. Choksi et al. · 0 citations

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