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We introduce a generative learning framework to model high-dimensional parametric systems using gradient guidance and virtual observations. We consider systems described by Partial Differential Equations (PDEs) discretized with structured…

机器学习 · 计算机科学 2024-08-02 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

无序系统与神经网络 · 物理学 2026-02-23 O. Duranthon , L. Zdeborová

A prominent goal of representation learning research is to achieve representations which are factorized in a useful manner with respect to the ground truth factors of variation. The fields of disentangled and equivariant representation…

机器学习 · 计算机科学 2023-09-26 Yue Song , T. Anderson Keller , Nicu Sebe , Max Welling

Subgrid parameterizations of mesoscale eddies continue to be in demand for climate simulations. These subgrid parameterizations can be powerfully designed using physics and/or data-driven methods, with uncertainty quantification. For…

大气与海洋物理 · 物理学 2024-02-23 Pavel Perezhogin , Laure Zanna , Carlos Fernandez-Granda

Normalizing flow-based generative models have been widely used in applications where the exact density estimation is of major importance. Recent research proposes numerous methods to improve their expressivity. However, conditioning on a…

机器学习 · 计算机科学 2024-06-04 Denis Gudovskiy , Tomoyuki Okuno , Yohei Nakata

We introduce manifold-learning flows (M-flows), a new class of generative models that simultaneously learn the data manifold as well as a tractable probability density on that manifold. Combining aspects of normalizing flows, GANs,…

机器学习 · 统计学 2020-11-16 Johann Brehmer , Kyle Cranmer

Real networks exhibit nontrivial topological features such as heavy-tailed degree distribution, high clustering, and small-worldness. Researchers have developed several generative models for synthesizing artificial networks that are…

社会与信息网络 · 计算机科学 2014-02-04 Sadegh Motallebi , Sadegh Aliakbary , Jafar Habibi

Residential Load Profile (RLP) generation and prediction are critical for the operation and planning of distribution networks, especially as diverse low-carbon technologies (e.g., photovoltaic and electric vehicles) are increasingly…

机器学习 · 计算机科学 2025-10-28 Weijie Xia , Chenguang Wang , Peter Palensky , Pedro P. Vergara

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

机器学习 · 计算机科学 2014-05-27 Yoshua Bengio , Éric Thibodeau-Laufer , Guillaume Alain , Jason Yosinski

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

计算机视觉与模式识别 · 计算机科学 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

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

Spin foams arose as the covariant (path integral) formulation of quantum gravity depicting transition amplitudes between different quantum geometry states. As such, they provide a scheme to study the no boundary proposal, specifically the…

广义相对论与量子宇宙学 · 物理学 2024-07-30 Joseph Bunao , Pietropaolo Frisoni , Athanasios Kogios , Jared Wogan

Flows are exact-likelihood generative neural networks that transform samples from a simple prior distribution to the samples of the probability distribution of interest. Boltzmann Generators (BG) combine flows and statistical mechanics to…

机器学习 · 统计学 2019-10-03 Jonas Köhler , Leon Klein , Frank Noé

We derive a novel generative model from iterative Gaussian posterior inference. By treating the generated sample as an unknown variable, we can formulate the sampling process in the language of Bayesian probability. Our model uses a…

机器学习 · 计算机科学 2026-01-28 Marten Lienen , Marcel Kollovieh , Stephan Günnemann

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

统计力学 · 物理学 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

Generative models based on dynamical equations such as flows and diffusions offer exceptional sample quality, but require computationally expensive numerical integration during inference. The advent of consistency models has enabled…

机器学习 · 计算机科学 2025-06-04 Nicholas M. Boffi , Michael S. Albergo , Eric Vanden-Eijnden

One of the grand challenges of cell biology is inferring the gene regulatory network (GRN) which describes interactions between genes and their products that control gene expression and cellular function. We can treat this as a causal…

机器学习 · 计算机科学 2023-12-27 Lazar Atanackovic , Alexander Tong , Bo Wang , Leo J. Lee , Yoshua Bengio , Jason Hartford

Traditional discriminative computer vision relies predominantly on static projections, mapping input features to outputs in a single computational step. Although efficient, this paradigm lacks the iterative refinement and robustness…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Om Govind Jha , Manoj Bamniya , Ayon Borthakur

Information Filtering Networks (IFNs) provide a powerful framework for modeling complex systems through globally sparse yet locally dense and interpretable structures that capture multivariate dependencies. This review offers a…

机器学习 · 计算机科学 2025-05-08 Tomaso Aste

Path planning in complex environments is one of the key problems of artificial intelligence because it requires simultaneous understanding of the geometry of space and the global structure of the problem. In this paper, we explore the…

人工智能 · 计算机科学 2026-02-24 Agnieszka Polowczyk , Alicja Polowczyk , Michał Wieczorek