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We propose a new algorithm for learning bridged diffusion processes using score-matching methods. Our method relies on reversing the dynamics of the forward process and using this to learn a score function, which, via Doob's $h$-transform,…

Machine Learning · Statistics 2025-03-14 Elizabeth L. Baker , Moritz Schauer , Stefan Sommer

We introduce a methodology for performing parameter inference in high-dimensional, non-linear diffusion processes. We illustrate its applicability for obtaining insights into the evolution of and relationships between species, including…

Machine Learning · Statistics 2024-11-15 Nicklas Boserup , Gefan Yang , Michael Lind Severinsen , Christy Anna Hipsley , Stefan Sommer

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

Sampling from an unknown distribution, accessible only through discrete samples, is a fundamental problem at the core of generative AI. The current state-of-the-art methods follow a two-step process: first, estimating the score function…

Machine Learning · Computer Science 2026-05-20 Samuel Hurault , Matthieu Terris , Thomas Moreau , Gabriel Peyré

Recent advances in diffusion models bring state-of-the-art performance on image generation tasks. However, empirical results from previous research in diffusion models imply an inverse correlation between density estimation and sample…

Machine Learning · Computer Science 2022-06-14 Dongjun Kim , Seungjae Shin , Kyungwoo Song , Wanmo Kang , Il-Chul Moon

This paper proposes a novel joint channel-estimation and source-detection algorithm using successive interference cancellation (SIC)-aided generative score-based diffusion models. Prior work in this area focuses on massive MIMO scenarios,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sagnik Bhattacharya , Muhammad Ahmed Mohsin , Kamyar Rajabalifardi , John M. Cioffi

Training a diffusion model approximates a map from a data distribution $\rho$ to the optimal score function $s_t$ for that distribution. Can we differentiate this map? If we could, then we could predict how the score, and ultimately the…

Machine Learning · Computer Science 2025-09-30 Christopher Scarvelis , Justin Solomon

Score-based diffusion models, which generate new data by learning to reverse a diffusion process that perturbs data from the target distribution into noise, have achieved remarkable success across various generative tasks. Despite their…

Machine Learning · Computer Science 2025-01-23 Gen Li , Yuling Yan

Decision-focused learning (DFL) integrates predictive modeling and optimization by training predictors to optimize the downstream decision target rather than merely minimizing prediction error. To date, existing DFL methods typically rely…

Machine Learning · Computer Science 2025-10-14 Zihao Zhao , Christopher Yeh , Lingkai Kong , Kai Wang

This paper introduces an approach to multi-stream quickest change detection and fault isolation for unnormalized and score-based statistical models. Traditional optimal algorithms in the quickest change detection literature require explicit…

Signal Processing · Electrical Eng. & Systems 2025-11-07 Wuxia Chen , Sean Moushegian , Vahid Tarokh , Taposh Banerjee

From a Bayesian perspective, score-based diffusion solves inverse problems through joint inference, embedding the likelihood with the prior to guide the sampling process. However, this formulation fails to explain its practical behavior:…

Artificial Intelligence · Computer Science 2026-05-13 Hao Chen , Renzheng Zhang , Scott S. Howard

Generative diffusion models synthesize new samples by reversing a diffusive process that converts a given data set to generic noise. This is accomplished by training a neural network to match the gradient of the log of the probability…

Machine Learning · Computer Science 2023-10-11 Akhil Premkumar

Methods in the field of quickest change detection rapidly detect in real-time a change in the data-generating distribution of an online data stream. Existing methods have been able to detect this change point when the densities of the pre-…

Methodology · Statistics 2025-07-09 Sean Moushegian , Suya Wu , Enmao Diao , Jie Ding , Taposh Banerjee , Vahid Tarokh

Generative modeling has drawn much attention in creative and scientific data generation tasks. Score-based Diffusion Models, a type of generative model that iteratively learns to denoise data, have shown state-of-the-art results on tasks…

Robotics · Computer Science 2024-05-21 Tyler Presser , Agnimitra Dasgupta , Daniel Erwin , Assad Oberai

Adversarial attacks have the potential to mislead deep neural network classifiers by introducing slight perturbations. Developing algorithms that can mitigate the effects of these attacks is crucial for ensuring the safe use of artificial…

Machine Learning · Computer Science 2023-10-31 Boya Zhang , Weijian Luo , Zhihua Zhang

A novel approach to quantile estimation in multivariate linear regression models with change-points is proposed: the change-point detection and the model estimation are both performed automatically, by adopting either the quantile fused…

Statistics Theory · Mathematics 2019-04-10 Gabriela Ciuperca , Matus Maciak

The goal of the change-point detection is to discover changes of time series distribution. One of the state of the art approaches of the change-point detection are based on direct density ratio estimation. In this work we show how existing…

Machine Learning · Computer Science 2022-06-22 Mikhail Hushchyn , Andrey Ustyuzhanin

In this paper, we propose a novel coarse-to-fine continuous pose diffusion method to enhance the precision of pick-and-place operations within robotic manipulation tasks. Leveraging the capabilities of diffusion networks, we facilitate the…

Robotics · Computer Science 2025-02-18 Shih-Wei Guo , Tsu-Ching Hsiao , Yu-Lun Liu , Chun-Yi Lee

Adapting pretrained diffusion models to downstream objectives such as inverse problems often requires expensive test-time guidance or optimization. We propose a principled framework for generating high-quality reward-aligned samples at…

Machine Learning · Computer Science 2026-05-22 Kushagra Pandey , Farrin Marouf Sofian , Jan Niklas Groeneveld , Felix Draxler , Stephan Mandt

Recent advancements in diffusion models have been leveraged to address inverse problems without additional training, and Diffusion Posterior Sampling (DPS) (Chung et al., 2022a) is among the most popular approaches. Previous analyses…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Tongda Xu , Xiyan Cai , Xinjie Zhang , Xingtong Ge , Dailan He , Ming Sun , Jingjing Liu , Ya-Qin Zhang , Jian Li , Yan Wang