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相关论文: Equivariant Flows: sampling configurations for mul…

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Normalizing flows are exact-likelihood generative neural networks which approximately transform samples from a simple prior distribution to samples of the probability distribution of interest. Recent work showed that such generative models…

机器学习 · 统计学 2020-10-27 Jonas Köhler , Leon Klein , Frank Noé

Normalizing flows are a class of deep generative models that are especially interesting for modeling probability distributions in physics, where the exact likelihood of flows allows reweighting to known target energy functions and computing…

机器学习 · 统计学 2023-11-27 Leon Klein , Andreas Krämer , Frank Noé

Computing equilibrium states in condensed-matter many-body systems, such as solvated proteins, is a long-standing challenge. Lacking methods for generating statistically independent equilibrium samples in "one shot", vast computational…

机器学习 · 统计学 2019-07-15 Frank Noé , Simon Olsson , Jonas Köhler , Hao Wu

Scalable sampling of molecular states in thermodynamic equilibrium is a long-standing challenge in statistical physics. Boltzmann generators tackle this problem by pairing normalizing flows with importance sampling to obtain uncorrelated…

机器学习 · 计算机科学 2026-01-21 Charlie B. Tan , Avishek Joey Bose , Chen Lin , Leon Klein , Michael M. Bronstein , Alexander Tong

The paper by No\'e et al. [F. No\'e, S. Olsson, J. K\"ohler and H. Wu, Science, 365:6457 (2019)] introduced the concept of Boltzmann Generators (BGs), a deep generative model that can produce unbiased independent samples of many-body…

Boltzmann generators approach the sampling problem in many-body physics by combining a normalizing flow and a statistical reweighting method to generate samples in thermodynamic equilibrium. The equilibrium distribution is usually defined…

统计力学 · 物理学 2022-09-07 Manuel Dibak , Leon Klein , Andreas Krämer , Frank Noé

Boltzmann generators approach the sampling problem in many-body physics by combining a normalizing flow and a statistical reweighting method to generate samples of a physical system's equilibrium density. The equilibrium distribution is…

计算物理 · 物理学 2020-12-02 Manuel Dibak , Leon Klein , Frank Noé

Sampling equilibrium molecular configurations from the Boltzmann distribution is a longstanding challenge. Boltzmann Generators (BGs) address this by combining exact-likelihood generative models with importance sampling, but practical…

机器学习 · 计算机科学 2026-05-29 Weilong Chen , Bojun Zhao , Jan Eckwert , Julija Zavadlav

Sampling equilibrium distributions is fundamental to statistical mechanics. While flow matching has emerged as scalable state-of-the-art paradigm for generative modeling, its potential for equilibrium sampling in condensed-phase systems…

计算物理 · 物理学 2026-03-31 Emil Hoffmann , Maximilian Schebek , Leon Klein , Frank Noé , Jutta Rogal

The generation of equilibrium samples of molecular systems has been a long-standing problem in statistical physics. Boltzmann Generators are a generative machine learning method that addresses this issue by learning a transformation via a…

机器学习 · 统计学 2025-02-04 Leon Klein , Frank Noé

Efficient sampling from the Boltzmann distribution given its energy function is a key challenge for modeling complex physical systems such as molecules. Boltzmann Generators address this problem by leveraging continuous normalizing flows to…

机器学习 · 计算机科学 2025-10-17 Rishal Aggarwal , Jacky Chen , Nicholas M. Boffi , David Ryan Koes

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…

统计力学 · 物理学 2025-10-23 Maximilian Schebek , Frank Noé , Jutta Rogal

Scalable sampling of molecular states in thermodynamic equilibrium is a long-standing challenge in statistical physics. Boltzmann Generators tackle this problem by pairing a generative model, capable of exact likelihood computation, with…

机器学习 · 计算机科学 2025-12-11 Danyal Rehman , Tara Akhound-Sadegh , Artem Gazizov , Yoshua Bengio , Alexander Tong

The generation of 3D molecules requires simultaneously deciding the categorical features~(atom types) and continuous features~(atom coordinates). Deep generative models, especially Diffusion Models (DMs), have demonstrated effectiveness in…

机器学习 · 计算机科学 2023-12-13 Yuxuan Song , Jingjing Gong , Minkai Xu , Ziyao Cao , Yanyan Lan , Stefano Ermon , Hao Zhou , Wei-Ying Ma

The accurate prediction of phase diagrams is of central importance for both the fundamental understanding of materials as well as for technological applications in material sciences. However, the computational prediction of the relative…

统计力学 · 物理学 2024-11-26 Maximilian Schebek , Michele Invernizzi , Frank Noé , Jutta Rogal

Flow and diffusion-based models have emerged as powerful tools for scientific applications, particularly for sampling non-normalized probability distributions, as exemplified by Boltzmann Generators (BGs). A critical challenge in deploying…

机器学习 · 统计学 2025-10-27 Johann Flemming Gloy , Simon Olsson

This paper introduces a generative model equivariant to Euclidean symmetries: E(n) Equivariant Normalizing Flows (E-NFs). To construct E-NFs, we take the discriminative E(n) graph neural networks and integrate them as a differential…

机器学习 · 计算机科学 2022-01-17 Victor Garcia Satorras , Emiel Hoogeboom , Fabian B. Fuchs , Ingmar Posner , Max Welling

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

软凝聚态物质 · 物理学 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Energy-based models (EBMs) are versatile density estimation models that directly parameterize an unnormalized log density. Although very flexible, EBMs lack a specified normalization constant of the model, making the likelihood of the model…

机器学习 · 计算机科学 2024-02-20 Louis Grenioux , Éric Moulines , Marylou Gabrié

Normalizing flows are a promising tool for modeling probability distributions in physical systems. While state-of-the-art flows accurately approximate distributions and energies, applications in physics additionally require smooth energies…

机器学习 · 统计学 2021-12-01 Jonas Köhler , Andreas Krämer , Frank Noé
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