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Homotopy approaches to Bayesian inference have found widespread use especially if the Kullback-Leibler divergence between the prior and the posterior distribution is large. Here we extend one of these homotopy approach to include an…

数值分析 · 数学 2022-11-04 Sebastian Reich

Denoising diffusion bridge models (DDBMs) are a powerful variant of diffusion models for interpolating between two arbitrary paired distributions given as endpoints. Despite their promising performance in tasks like image translation, DDBMs…

机器学习 · 计算机科学 2025-05-01 Kaiwen Zheng , Guande He , Jianfei Chen , Fan Bao , Jun Zhu

Learning, taking into account full distribution of the data, referred to as generative, is not feasible with deep neural networks (DNNs) because they model only the conditional distribution of the outputs given the inputs. Current solutions…

机器学习 · 计算机科学 2017-09-26 Boris Flach , Alexander Shekhovtsov , Ondrej Fikar

Massive random access is an important technology for achieving ultra-massive connectivity in next-generation wireless communication systems. It aims to address key challenges during the initial access phase, including active user detection…

信息论 · 计算机科学 2026-02-09 Keke Ying , Zhen Gao , Sheng Chen , Tony Q. S. Quek , H. Vincent Poor

Network representation learning, as an approach to learn low dimensional representations of vertices, has attracted considerable research attention recently. It has been proven extremely useful in many machine learning tasks over large…

机器学习 · 计算机科学 2019-06-11 Hao Peng , Jianxin Li , Hao Yan , Qiran Gong , Senzhang Wang , Lin Liu , Lihong Wang , Xiang Ren

We examine learning dynamics in deep recurrent networks, focusing on the behavior near the boundary in the depth-width plane separating under- from over-parametrized networks, known as the interpolation transition. The training data are…

无序系统与神经网络 · 物理学 2025-05-22 John Hertz , Joanna Tyrcha

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…

计算机视觉与模式识别 · 计算机科学 2024-10-08 Eslam Abdelrahman , Liangbing Zhao , Vincent Tao Hu , Matthieu Cord , Patrick Perez , Mohamed Elhoseiny

Inspired by the success of Convolutional Neural Networks (CNNs) for supervised prediction in images, we design the Deconvolutional Generative Model (DGM), a new probabilistic generative model whose inference calculations correspond to those…

计算机视觉与模式识别 · 计算机科学 2019-12-10 Tan Nguyen , Nhat Ho , Ankit Patel , Anima Anandkumar , Michael I. Jordan , Richard G. Baraniuk

We present a method called Manifold Interpolating Optimal-Transport Flow (MIOFlow) that learns stochastic, continuous population dynamics from static snapshot samples taken at sporadic timepoints. MIOFlow combines dynamic models, manifold…

This paper focuses on the analysis of sequential image data, particularly brain imaging data such as MRI, fMRI, CT, with the motivation of understanding the brain aging process and neurodegenerative diseases. To achieve this goal, we…

机器学习 · 统计学 2024-07-22 Zhenghao Li , Sanyou Wu , Long Feng

In electromagnetic inverse scattering, the goal is to reconstruct object permittivity using scattered waves. While deep learning has shown promise as an alternative to iterative solvers, it is primarily used in supervised frameworks which…

We introduce a new approach to learning in hierarchical latent-variable generative models called the "distributed distributional code Helmholtz machine", which emphasises flexibility and accuracy in the inferential process. In common with…

机器学习 · 统计学 2018-05-29 Eszter Vertes , Maneesh Sahani

Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

机器学习 · 统计学 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

Learning from different data types is a long-standing goal in machine learning research, as multiple information sources co-occur when describing natural phenomena. However, existing generative models that approximate a multimodal ELBO rely…

机器学习 · 计算机科学 2023-05-09 Thomas M. Sutter , Imant Daunhawer , Julia E. Vogt

We propose a framework for learning maps between probability distributions that broadly generalizes the time dynamics of flow and diffusion models. To enable this, we generalize stochastic interpolants by replacing the scalar time variable…

机器学习 · 计算机科学 2026-02-26 Hugo Negrel , Florentin Coeurdoux , Michael S. Albergo , Eric Vanden-Eijnden

Flow based generative models have charted an impressive path across multiple visual generation tasks by adhering to a simple principle: learning velocity representations of a linear interpolant. However, we observe that training velocity…

计算机视觉与模式识别 · 计算机科学 2025-09-04 Inkyu Shin , Chenglin Yang , Liang-Chieh Chen

We introduce a novel method for studying systematic trends in nuclear reaction data using generative adversarial networks. Libraries of nuclear cross section evaluations exhibit intricate systematic trends across the nuclear landscape, and…

核理论 · 物理学 2024-05-01 Jordan M. R. Fox , Kyle A. Wendt

Transfer learning, or domain adaptation, is concerned with machine learning problems in which training and testing data come from possibly different probability distributions. In this work, we give an information-theoretic analysis of the…

信息论 · 计算机科学 2024-08-09 Xuetong Wu , Jonathan H. Manton , Uwe Aickelin , Jingge Zhu

Implicit generative models have the capability to learn arbitrary complex data distributions. On the downside, training requires telling apart real data from artificially-generated ones using adversarial discriminators, leading to unstable…

机器学习 · 计算机科学 2024-02-27 José Manuel de Frutos , Pablo M. Olmos , Manuel A. Vázquez , Joaquín Míguez

We study the problem of unbiased estimation of expectations with respect to (w.r.t.) $\pi$ a given, general probability measure on $(\mathbb{R}^d,\mathcal{B}(\mathbb{R}^d))$ that is absolutely continuous with respect to a standard Gaussian…

统计计算 · 统计学 2022-10-26 Hamza Ruzayqat , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas