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20242026
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physics.comp-ph2025

Learning Density Functionals to Bridge Particle and Continuum Scales

Edoardo Monti, Peter Yatsyshin, Konstantinos Gkagkas +1

Predicting interfacial thermodynamics across molecular and continuum scales remains a central challenge in computational science. Classical density functional theory (cDFT) provide…

cs.LG2025

How to Train Private Clinical Language Models: A Comparative Study of Privacy-Preserving Pipelines for ICD-9 Coding

Mathieu Dufour, Andrew Duncan

Large language models trained on clinical text risk exposing sensitive patient information, yet differential privacy (DP) methods often severely degrade the diagnostic accuracy nee…

stat.ML2025

Certified Self-Consistency: Statistical Guarantees and Test-Time Training for Reliable Reasoning in LLMs

Paula Cordero-Encinar, Andrew B. Duncan

Recent advances such as self-consistency and test-time reinforcement learning (TTRL) improve the reliability of large language models (LLMs) without additional supervision, yet the…

stat.ML2025

Uniform-in-time convergence bounds for Persistent Contrastive Divergence algorithms

Paul Felix Valsecchi Oliva, O. Deniz Akyildiz, Andrew Duncan

We propose a continuous-time formulation of a noisy persistent contrastive divergence (PCD)-like method for maximum likelihood estimation (MLE) of unnormalised densities. Our appro…

stat.ME2025

Sampling as Bandits: Evaluation-Efficient Design for Black-Box Densities

Takuo Matsubara, Andrew Duncan, Simon Cotter +1

We propose bandit importance sampling (BIS), a powerful importance sampling framework tailored for settings in which evaluating the target density is computationally expensive. BIS…

stat.CO2025

Sampling by averaging: A multiscale approach to score estimation

Paula Cordero-Encinar, Andrew B. Duncan, Sebastian Reich +1

We introduce a novel framework for efficient sampling from complex, unnormalised target distributions by exploiting multiscale dynamics. Traditional score-based sampling methods ei…

cs.LG2025

Physics-Constrained Fine-Tuning of Flow-Matching Models for Generation and Inverse Problems

Jan Tauberschmidt, Sophie Fellenz, Sebastian J. Vollmer +1

We present a framework for fine-tuning flow-matching generative models to enforce physical constraints and solve inverse problems in scientific systems. Starting from a model train…

stat.ML2025

Non-asymptotic Analysis of Diffusion Annealed Langevin Monte Carlo for Generative Modelling

Paula Cordero-Encinar, O. Deniz Akyildiz, Andrew B. Duncan

We investigate the theoretical properties of general diffusion (interpolation) paths and their Langevin Monte Carlo implementation, referred to as diffusion annealed Langevin Monte…