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Consistency models imitate the multi-step sampling of score-based diffusion in a single forward pass of a neural network. They can be learned in two ways: consistency distillation and consistency training. The former relies on the true…

Machine Learning · Computer Science 2025-07-03 Thibaut Issenhuth , Sangchul Lee , Ludovic Dos Santos , Jean-Yves Franceschi , Chansoo Kim , Alain Rakotomamonjy

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

We present an algorithm for learning decision trees using stochastic gradient information as the source of supervision. In contrast to previous approaches to gradient-based tree learning, our method operates in the incremental learning…

Machine Learning · Statistics 2019-09-25 Henry Gouk , Bernhard Pfahringer , Eibe Frank

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

Machine Learning · Computer Science 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e., the gradient of the log-probability density of the data,…

Machine Learning · Computer Science 2025-12-17 Dibyajyoti Chakraborty , Haiwen Guan , Jason Stock , Troy Arcomano , Guido Cervone , Romit Maulik

For complex simulation problems, inferring parameters often precludes the use of classical likelihood-based techniques due to intractable likelihoods. Simulation-based inference (SBI) methods offer a likelihood-free approach to directly…

Machine Learning · Computer Science 2026-04-16 Haley Rosso , Talea Mayo

Diffusion-based imitation learning improves Behavioral Cloning (BC) on multi-modal decision-making, but comes at the cost of significantly slower inference due to the recursion in the diffusion process. It urges us to design efficient…

Machine Learning · Computer Science 2024-11-25 Xixi Hu , Bo Liu , Xingchao Liu , Qiang Liu

We introduce Sequential Neural Posterior Score Estimation (SNPSE), a score-based method for Bayesian inference in simulator-based models. Our method, inspired by the remarkable success of score-based methods in generative modelling,…

Machine Learning · Statistics 2024-06-04 Louis Sharrock , Jack Simons , Song Liu , Mark Beaumont

We present a novel method for training score-based generative models which uses nonlinear noising dynamics to improve learning of structured distributions. Generalizing to a nonlinear drift allows for additional structure to be incorporated…

Machine Learning · Statistics 2025-07-10 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang , Wei Zhu

Conditional independence (CI) constraints are critical for defining and evaluating fairness in machine learning, as well as for learning unconfounded or causal representations. Traditional methods for ensuring fairness either blindly learn…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Jensen Hwa , Qingyu Zhao , Aditya Lahiri , Adnan Masood , Babak Salimi , Ehsan Adeli

Dynamic contingency screening is a challenging task in dynamic security assessment, when traditional numerical approaches are computationally intensive and often not able to repeatedly solve full AC power flow for all possible contingencies…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Quan Tran , Suresh S. Muknahallipatna , Dongliang Duan , Nga Nguyen

Decision-making problems often feature uncertainty stemming from heterogeneous and context-dependent human preferences. To address this, we propose a sequential learning-and-optimization pipeline to learn preference distributions and…

Machine Learning · Computer Science 2026-03-19 Benjamin Hudson , Laurent Charlin , Emma Frejinger

Fine-grained clustering is a practical yet challenging task, whose essence lies in capturing the subtle differences between instances of different classes. Such subtle differences can be easily disrupted by data augmentation or be…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Ruohong Yang , Peng Hu , Xi Peng , Xiting Liu , Yunfan Li

We study variance reduction for score estimation and diffusion-based sampling in settings where the clean (target) score is available or can be approximated. Starting from the Target Score Identity (TSI), which expresses the noisy marginal…

Machine Learning · Statistics 2026-01-26 Alois Duston , Tan Bui-Thanh

Recent advances in deep learning-based joint source-channel coding (DJSCC) have shown promise for end-to-end semantic image transmission. However, most existing schemes primarily focus on optimizing pixel-wise metrics, which often fail to…

Signal Processing · Electrical Eng. & Systems 2024-12-24 Pujing Yang , Guangyi Zhang , Yunlong Cai

Score-based diffusion models are a recently developed framework for posterior sampling in Bayesian inverse problems with a state-of-the-art performance for severely ill-posed problems by leveraging a powerful prior distribution learned from…

Recent progress in image generation has sparked research into controlling these models through condition signals, with various methods addressing specific challenges in conditional generation. Instead of proposing another specialized…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Xirui Li , Charles Herrmann , Kelvin C. K. Chan , Yinxiao Li , Deqing Sun , Chao Ma , Ming-Hsuan Yang

In this paper, we consider a stochastic model based on the Cox- Ingersoll- Ross model (CIR). The stochastic model is parameterized analytically by applying It\^o's calculus and the trend functions of the proposed process is calculated. The…

Methodology · Statistics 2021-03-30 Nafidi Ahmed , El Azri Abdenbi

Flow-based generative models can face significant challenges when modeling scientific data with multiscale Fourier spectra, often producing large errors in fine-scale features. We address this problem within the framework of stochastic…

Machine Learning · Statistics 2025-09-04 Yifan Chen , Eric Vanden-Eijnden

Accurate prediction with multimodal data-encompassing tabular, textual, and visual inputs or outputs-is fundamental to advancing analytics in diverse application domains. Traditional approaches often struggle to integrate heterogeneous data…

Machine Learning · Statistics 2025-03-11 Xinyu Tian , Xiaotong Shen
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