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Particle-based deep generative models, such as gradient flows and score-based diffusion models, have recently gained traction thanks to their striking performance. Their principle of displacing particle distributions using differential…

We introduce adversarial learning methods for data-driven generative modeling of the dynamics of $n^{th}$-order stochastic systems. Our approach builds on Generative Adversarial Networks (GANs) with generative model classes based on stable…

Machine Learning · Computer Science 2023-02-08 Panos Stinis , Constantinos Daskalakis , Paul J. Atzberger

We develop a novel method for training of GANs for unsupervised and class conditional generation of images, called Linear Discriminant GAN (LD-GAN). The discriminator of an LD-GAN is trained to maximize the linear separability between…

Machine Learning · Statistics 2017-07-26 Zhun Sun , Mete Ozay , Takayuki Okatani

This paper proposes a new theoretical lens to view Wasserstein generative adversarial networks (WGANs). To minimize the Wasserstein-1 distance between the true data distribution and our estimate of it, we derive a distribution-dependent…

Machine Learning · Statistics 2025-02-05 Zachariah Malik , Yu-Jui Huang

Scene graphs (SGs) represent objects and their relationships as structured graphs, enabling applications in image generation, robotics, and 3D understanding. Recent work suggests that conditioning image generation on scene graphs improves…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Rajalaxmi Rajagopalan , Romit Roy Choudhury

In this article, we introduce and analyze a deep learning based approximation algorithm for SPDEs. Our approach employs neural networks to approximate the solutions of SPDEs along given realizations of the driving noise process. If applied…

Numerical Analysis · Mathematics 2025-10-21 Christian Beck , Sebastian Becker , Patrick Cheridito , Arnulf Jentzen , Ariel Neufeld

We present a method to generate renewable scenarios using Bayesian probabilities by implementing the Bayesian generative adversarial network~(Bayesian GAN), which is a variant of generative adversarial networks based on two interconnected…

Optimization and Control · Mathematics 2018-02-06 Yize Chen , Pan Li , Baosen Zhang

One of the most critical pieces of the self-driving puzzle is the task of predicting future movement of surrounding traffic actors, which allows the autonomous vehicle to safely and effectively plan its future route in a complex world.…

Machine Learning · Computer Science 2020-06-15 Eason Wang , Henggang Cui , Sai Yalamanchi , Mohana Moorthy , Fang-Chieh Chou , Nemanja Djuric

A framework to learn a multi-modal distribution is proposed, denoted as the Conditional Quantum Generative Adversarial Network (C-qGAN). The neural network structure is strictly within a quantum circuit and, as a consequence, is shown to…

Quantum Physics · Physics 2023-10-20 Salvatore Certo , Anh Pham , Nicolas Robles , Andrew Vlasic

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

Machine Learning · Statistics 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman

Recently, generative machine-learning models have gained popularity in physics, driven by the goal of improving the efficiency of Markov chain Monte Carlo techniques and of exploring their potential in capturing experimental data…

Statistical Mechanics · Physics 2021-09-03 Japneet Singh , Vipul Arora , Vinay Gupta , Mathias S. Scheurer

Conditional Generative Adversarial Networks (cGANs) extend the standard unconditional GAN framework to learning joint data-label distributions from samples, and have been established as powerful generative models capable of generating…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Ligong Han , Martin Renqiang Min , Anastasis Stathopoulos , Yu Tian , Ruijiang Gao , Asim Kadav , Dimitris Metaxas

Diffusion models are widely used in image generation because they can generate high-quality and realistic samples. This is in contrast to generative adversarial networks (GANs) and variational autoencoders (VAEs), which have some…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Xudong Ling , Chaorong Li , Fengqing Qin , Peng Yang , Yuanyuan Huang

Achievement of solutions in Navier-Stokes equation is one of challenging quests, especially for its closure problem. For achievement of particular solutions, there are variety of numerical simulations including Direct Numerical Simulation…

Computational Physics · Physics 2018-11-13 Jinu Lee , Sangseung Lee , Donghyun You

We consider a hidden Markov model, where the signal process, given by a diffusion, is only indirectly observed through some noisy measurements. The article develops a variational method for approximating the hidden states of the signal…

Optimization and Control · Mathematics 2016-10-26 Tobias Sutter , Arnab Ganguly , Heinz Koeppl

In Score based Generative Modeling (SGMs), the state-of-the-art in generative modeling, stochastic reverse processes are known to perform better than their deterministic counterparts. This paper delves into the heart of this phenomenon,…

Machine Learning · Computer Science 2023-12-15 Karthik Elamvazhuthi , Samet Oymak , Fabio Pasqualetti

Inferring transient molecular structural dynamics from diffraction data is an ambiguous task that often requires different approximation methods. In this paper we present an attempt to tackle this problem using machine learning. While most…

Chemical Physics · Physics 2023-08-09 Hazem Daoud , Dhruv Sirohi , Endri Mjeku , John Feng , Saeed Oghbaey , R. J. Dwayne Miller

Learning the underlying distribution of molecular graphs and generating high-fidelity samples is a fundamental research problem in drug discovery and material science. However, accurately modeling distribution and rapidly generating novel…

Machine Learning · Computer Science 2023-05-24 Han Huang , Leilei Sun , Bowen Du , Weifeng Lv

The difficulty in obtaining labeled data relevant to a given task is among the most common and well-known practical obstacles to applying deep learning techniques to new or even slightly modified domains. The data volumes required by the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Jonathan Howe , Kyle Pula , Aaron A. Reite

Semantic image synthesis, i.e., generating images from user-provided semantic label maps, is an important conditional image generation task as it allows to control both the content as well as the spatial layout of generated images. Although…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Tariq Berrada , Jakob Verbeek , Camille Couprie , Karteek Alahari