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Many stochastic physical systems evolve smoothly over time in the sense that the distribution of states changes regularly across time steps. The transition from current state to the next state can often be modeled as the combination of a…

机器学习 · 计算机科学 2026-05-29 Jules Berman , Tobias Blickhan , Benjamin Peherstorfer

Many segmentation tasks, such as medical image segmentation or future state prediction, are inherently ambiguous, meaning that multiple predictions are equally correct. Current methods typically rely on generative models to capture this…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Sebastian Gerard , Josephine Sullivan

Generative state estimators based on probabilistic filters and smoothers are one of the most popular classes of state estimators for robots and autonomous vehicles. However, generative models have limited capacity to handle rich sensory…

机器学习 · 计算机科学 2017-10-03 Tuomas Haarnoja , Anurag Ajay , Sergey Levine , Pieter Abbeel

Adapting to the changing climate requires accurate local climate information, a computationally challenging problem. Recent studies have used Generative Adversarial Networks (GANs), a type of deep learning, to learn complex distributions…

机器学习 · 计算机科学 2024-06-06 Kiri Daust , Adam Monahan

Denoising diffusion models are a class of generative models which have recently achieved state-of-the-art results across many domains. Gradual noise is added to the data using a diffusion process, which transforms the data distribution into…

机器学习 · 统计学 2024-06-28 Francisco Vargas , Teodora Reu , Anna Kerekes , Michael M Bronstein

This position paper argues that next-generation non-equilibrium-inspired generative models will provide the essential foundation for better modeling real-world complex dynamical systems. While many classical generative algorithms draw…

计算工程、金融与科学 · 计算机科学 2025-05-27 Jiazhen Liu , Ruikun Li , Huandong Wang , Zihan Yu , Chang Liu , Jingtao Ding , Yong Li

We introduce generative models for accelerating simulations of complex systems through learning and evolving their effective dynamics. In the proposed Generative Learning of Effective Dynamics (G-LED), instances of high dimensional data are…

机器学习 · 计算机科学 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

Modeling transformations between arbitrary data distributions is a fundamental scientific challenge, arising in applications like drug discovery and evolutionary simulation. While flow matching offers a natural framework for this task, its…

机器学习 · 计算机科学 2025-10-09 Shiye Su , Yuhui Zhang , Linqi Zhou , Rajesh Ranganath , Serena Yeung-Levy

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

机器学习 · 计算机科学 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

Heralded by the initial success in speech recognition and image classification, learning-based approaches with neural networks, commonly referred to as deep learning, have spread across various fields. A primitive form of a neural network…

机器人学 · 计算机科学 2024-09-02 Takuma Yoneda

Scenario-based probabilistic forecasts have become vital for decision-makers in handling intermittent renewable energies. This paper presents a recent promising deep learning generative approach called denoising diffusion probabilistic…

机器学习 · 计算机科学 2023-08-22 Esteban Hernandez Capel , Jonathan Dumas

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

神经与进化计算 · 计算机科学 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Stochastic generators are essential to produce synthetic realizations that preserve target statistical properties. We propose GenFormer, a stochastic generator for spatio-temporal multivariate stochastic processes. It is constructed using a…

机器学习 · 计算机科学 2024-02-06 Haoran Zhao , Wayne Isaac Tan Uy

Markovian population models are suitable abstractions to describe well-mixed interacting particle systems in situation where stochastic fluctuations are significant due to the involvement of low copy particles. In molecular biology,…

定量方法 · 定量生物学 2014-01-17 Christoph Zechner , Federico Wadehn , Heinz Koeppl

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

机器学习 · 计算机科学 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

In the context of uncertainty quantification, computational models are required to be repeatedly evaluated. This task is intractable for costly numerical models. Such a problem turns out to be even more severe for stochastic simulators, the…

统计计算 · 统计学 2022-11-29 X. Zhu , B. Sudret

Generative models learn the distribution of data from a sample dataset and can then generate new data instances. Recent advances in deep learning has brought forth improvements in generative model architectures, and some state-of-the-art…

密码学与安全 · 计算机科学 2021-07-30 Luke A. Bauer , Vincent Bindschaedler

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis,…

物理与社会 · 物理学 2015-06-18 Trevor Fenner , Mark Levene , George Loizou

Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future…

统计方法学 · 统计学 2018-02-06 M. Chung , M. Binois , R. B. Gramacy , D. J. Moquin , A. P. Smith , A. M. Smith

A stochastic model of excitatory and inhibitory interactions which bears universality traits is introduced and studied. The endogenous component of noise, stemming from finite size corrections, drives robust inter-nodes correlations, that…

无序系统与神经网络 · 物理学 2017-08-16 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi