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We introduce a data-driven dynamic factor framework for modeling the joint evolution of high-dimensional covariates and responses without parametric assumptions. Standard factor models applied to covariates alone often lose explanatory…

机器学习 · 统计学 2026-01-16 Graeme Baker , Agostino Capponi , J. Antonio Sidaoui

The sequential nature of autoregressive next-token prediction imposes a fundamental speed limit on large language models. While continuous flow models offer a path to parallel generation, they traditionally demand expensive iterative…

Graph generative models are essential across diverse scientific domains by capturing complex distributions over relational data. Among them, graph diffusion models achieve superior performance but face inefficient sampling and limited…

机器学习 · 计算机科学 2025-06-17 Yiming Qin , Manuel Madeira , Dorina Thanou , Pascal Frossard

The generation of discontinuous distributions is a difficult task for most known frameworks such as generative autoencoders and generative adversarial networks. Generative non-invertible models are unable to accurately generate such…

机器学习 · 计算机科学 2021-12-20 Mariia Drozdova , Vitaliy Kinakh , Guillaume Quétant , Tobias Golling , Slava Voloshynovskiy

Discrete flow models offer a powerful framework for learning distributions over discrete state spaces and have demonstrated superior performance compared to the discrete diffusion models. However, their convergence properties and error…

统计理论 · 数学 2026-05-27 Zhengyan Wan , Yidong Ouyang , Qiang Yao , Liyan Xie , Fang Fang , Hongyuan Zha , Guang Cheng

Current discriminative depth estimation methods often produce blurry artifacts, while generative approaches suffer from slow sampling due to curvatures in the noise-to-depth transport. Our method addresses these challenges by framing depth…

Deep generative models that produce novel molecular structures have the potential to facilitate chemical discovery. Diffusion models currently achieve state of the art performance for 3D molecule generation. In this work, we explore the use…

生物大分子 · 定量生物学 2024-05-01 Ian Dunn , David Ryan Koes

Geometric data and purpose-built generative models on them have become ubiquitous in high-impact deep learning application domains, ranging from protein backbone generation and computational chemistry to geospatial data. Current geometric…

机器学习 · 计算机科学 2026-02-10 Oscar Davis , Michael S. Albergo , Nicholas M. Boffi , Michael M. Bronstein , Avishek Joey Bose

Diffusion models have emerged as a powerful framework for generative tasks in deep learning. They decompose generative modeling into two computational primitives: deterministic neural-network evaluation and stochastic sampling. Current…

机器学习 · 计算机科学 2026-03-31 Nihal Sanjay Singh , Mazdak Mohseni-Rajaee , Shaila Niazi , Kerem Y. Camsari

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

Recent advances in generative modeling -- particularly diffusion models and flow matching -- have achieved remarkable success in synthesizing discrete data such as images and videos. However, adapting these models to physical applications…

机器学习 · 计算机科学 2025-11-26 Sifan Wang , Zehao Dou , Siming Shan , Tong-Rui Liu , Lu Lu

Can standard continuous-time generative models represent distributions whose support is an extremely sparse, globally constrained discrete set? We study this question using completed Sudoku grids as a controlled testbed, treating them as a…

机器学习 · 计算机科学 2026-01-29 Mariia Drozdova

We present an approach to synthesizing new graph structures from empirically specified distributions. The generative model is an auto-decoder that learns to synthesize graphs from latent codes. The graph synthesis model is learned jointly…

机器学习 · 计算机科学 2020-06-05 Sohil Atul Shah , Vladlen Koltun

To model manifold data using normalizing flows, we employ isometric autoencoders to design embeddings with explicit inverses that do not distort the probability distribution. Using isometries separates manifold learning and density…

机器学习 · 计算机科学 2023-05-09 Eike Cramer , Felix Rauh , Alexander Mitsos , Raúl Tempone , Manuel Dahmen

Generative Flow Networks (GFlowNets) are a new family of probabilistic samplers where an agent learns a stochastic policy for generating complex combinatorial structure through a series of decision-making steps. Despite being inspired from…

机器学习 · 计算机科学 2024-02-20 Dinghuai Zhang , Ling Pan , Ricky T. Q. Chen , Aaron Courville , Yoshua Bengio

Generating graph-structured data requires learning the underlying distribution of graphs. Yet, this is a challenging problem, and the previous graph generative methods either fail to capture the permutation-invariance property of graphs or…

机器学习 · 计算机科学 2022-06-16 Jaehyeong Jo , Seul Lee , Sung Ju Hwang

Flow Matching (FM) is a recent generative modelling technique: we aim to learn how to sample from distribution $\mathfrak{X}_1$ by flowing samples from some distribution $\mathfrak{X}_0$ that is easy to sample from. The key trick is that…

微分几何 · 数学 2025-10-24 Finn M. Sherry , Bart M. N. Smets

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

统计理论 · 数学 2024-07-12 Xicheng Zhang

The expressive power of neural networks in modelling non-trivial distributions can in principle be exploited to bypass topological freezing and critical slowing down in simulations of lattice field theories. Some popular approaches are…

高能物理 - 格点 · 物理学 2025-02-05 Shiyang Chen , Gert Aarts , Biagio Lucini

Markov chain Monte Carlo methods explicitly defined on the manifold of probability distributions have recently been established. These methods are constructed from diffusions across the manifold and the solution of the equations describing…

统计计算 · 统计学 2014-03-25 Simon Byrne , Mark Girolami