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This article is concerned with the mathematical analysis of a family of adaptive importance sampling algorithms applied to diffusion processes. These methods, referred to as Adaptive Biasing Potential methods, are designed to efficiently…

Probability · Mathematics 2018-05-10 Michel Benaïm , Charles-Edouard Bréhier

Flow and bridge matching are a novel class of processes which encompass diffusion models. One of the main aspect of their increased flexibility is that these models can interpolate between arbitrary data distributions i.e. they generalize…

Machine Learning · Computer Science 2023-11-14 Valentin De Bortoli , Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Weilie Nie

Restricted Boltzmann Machines (RBMs) are one of the fundamental building blocks of deep learning. Approximate maximum likelihood training of RBMs typically necessitates sampling from these models. In many training scenarios, computationally…

Machine Learning · Computer Science 2014-10-02 Guillaume Desjardins , Heng Luo , Aaron Courville , Yoshua Bengio

Augmentation techniques and sampling strategies are crucial in contrastive learning, but in most existing works, augmentation techniques require careful design, and their sampling strategies can only capture a small amount of intrinsic…

Machine Learning · Computer Science 2023-07-28 Yixian Ma , Kun Zhan

Diffusion models have shown promising potential for advancing Boltzmann Generators. However, two critical challenges persist: (1) inherent errors in samples due to model imperfections, and (2) the requirement of hundreds of functional…

Machine Learning · Computer Science 2024-09-12 Fengzhe Zhang , Jiajun He , Laurence I. Midgley , Javier Antorán , José Miguel Hernández-Lobato

Model merging has emerged as a promising solution to accommodate multiple large models within constrained memory budgets. We present StatsMerging, a novel lightweight learning-based model merging method guided by weight distribution…

Machine Learning · Computer Science 2025-06-06 Ranjith Merugu , Bryan Bo Cao , Shubham Jain

Designing free-form photonic devices is fundamentally challenging due to the vast number of possible geometries and the complex requirements of fabrication constraints. Traditional inverse-design approaches--whether driven by human…

Optics · Physics 2025-04-25 Dongjin Seo , Soobin Um , Sangbin Lee , Jong Chul Ye , Haejun Chung

Efficient and accurate brain ventricle segmentation from clinical CT scans is critical for emergency surgeries like ventriculostomy. With the challenges in poor soft tissue contrast and a scarcity of well-annotated databases for clinical…

Image and Video Processing · Electrical Eng. & Systems 2024-07-16 Reihaneh Teimouri , Marta Kersten-Oertel , Yiming Xiao

Sampling from Boltzmann distributions, particularly those tied to high dimensional and complex energy functions, poses a significant challenge in many fields. In this work, we present the Energy-Based Diffusion Generator (EDG), a novel…

Machine Learning · Computer Science 2025-09-26 Yan Wang , Ling Guo , Hao Wu , Tao Zhou

The use of generative models to sample equilibrium distributions of many-body systems, as first demonstrated by Boltzmann Generators, has attracted substantial interest due to their ability to produce unbiased and uncorrelated samples in…

Statistical Mechanics · Physics 2025-10-23 Maximilian Schebek , Frank Noé , Jutta Rogal

Over the past few years, several approaches utilizing score-based diffusion have been proposed to sample from probability distributions, that is without having access to exact samples and relying solely on evaluations of unnormalized…

Machine Learning · Statistics 2025-04-15 Maxence Noble , Louis Grenioux , Marylou Gabrié , Alain Oliviero Durmus

High-dimensional and complex discrete distributions often exhibit multimodal behavior due to inherent discontinuities, posing significant challenges for sampling. Gradient-based discrete samplers, while effective, frequently become trapped…

Machine Learning · Computer Science 2026-04-14 Pinaki Mohanty , Ruqi Zhang

Diffusion models break down the challenging task of generating data from high-dimensional distributions into a series of easier denoising steps. Inspired by this paradigm, we propose a novel approach that extends the diffusion framework…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Eslam Abdelrahman , Liangbing Zhao , Vincent Tao Hu , Matthieu Cord , Patrick Perez , Mohamed Elhoseiny

We present a class of diffusion-based algorithms to draw samples from high-dimensional probability distributions given their unnormalized densities. Ideally, our methods can transport samples from a Gaussian distribution to a specified…

Machine Learning · Computer Science 2025-02-04 Anand Jerry George , Nicolas Macris

We study the problem of generating synthetic time series that reproduce both marginal distributions and temporal dynamics, a central challenge in financial machine learning. Existing approaches typically fail to jointly model drift and…

Machine Learning · Computer Science 2026-04-10 Alexandre Alouadi , Grégoire Loeper , Célian Marsala , Othmane Mazhar , Huyên Pham

Scene-aware Adaptive Compressive Sensing (ACS) has attracted significant interest due to its promising capability for efficient and high-fidelity acquisition of scene images. ACS typically prescribes adaptive sampling allocation (ASA) based…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Zhifu Tian , Tao Hu , Chaoyang Niu , Di Wu , Shu Wang

We address the challenge of training diffusion models to sample from unnormalized energy distributions in the absence of data, the so-called diffusion samplers. Although these approaches have shown promise, they struggle to scale in more…

Machine Learning · Computer Science 2025-11-07 Minkyu Kim , Kiyoung Seong , Dongyeop Woo , Sungsoo Ahn , Minsu Kim

Recent years have witnessed Spiking Neural Networks (SNNs) gaining attention for their ultra-low energy consumption and high biological plausibility compared with traditional Artificial Neural Networks (ANNs). Despite their distinguished…

Neural and Evolutionary Computing · Computer Science 2024-08-30 Jiahang Cao , Hanzhong Guo , Ziqing Wang , Deming Zhou , Hao Cheng , Qiang Zhang , Renjing Xu

Denoising diffusion models (DDM) have gained recent traction in medical image translation given improved training stability over adversarial models. DDMs learn a multi-step denoising transformation to progressively map random Gaussian-noise…

Image and Video Processing · Electrical Eng. & Systems 2024-05-14 Fuat Arslan , Bilal Kabas , Onat Dalmaz , Muzaffer Ozbey , Tolga Çukur

Sequential recommendation has attracted increasing attention due to its ability to accurately capture the dynamic changes in user interests. We have noticed that generative models, especially diffusion models, which have achieved…

Information Retrieval · Computer Science 2024-09-18 Wenjia Xie , Rui Zhou , Hao Wang , Tingjia Shen , Enhong Chen
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