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Representations of population models in terms of countable systems of particles are constructed, in which each particle has a `type', typically recording both spatial position and genetic type, and a level. For finite intensity models, the…

Probability · Mathematics 2018-06-05 Alison M. Etheridge , Thomas G. Kurtz

Neural generative models can be used to learn complex probability distributions from data, to sample from them, and to produce probability density estimates. We propose a computational framework for developing neural generative models…

Machine Learning · Computer Science 2022-01-06 Alexander Ororbia , Daniel Kifer

The goal of generative machine learning is to model the probability distribution underlying a given data set. This probability distribution helps to characterize the generation process of the data samples. While classical generative machine…

Quantum Physics · Physics 2021-11-29 Christa Zoufal

Over the last few years, large neural generative models, capable of synthesizing semantically rich passages of text or producing complex images, have recently emerged as a popular representation of what has come to be known as ``generative…

Neurons and Cognition · Quantitative Biology 2023-11-07 Alexander Ororbia , Mary Alexandria Kelly

We propose a general framework to learn deep generative models via \textbf{V}ariational \textbf{Gr}adient Fl\textbf{ow} (VGrow) on probability spaces. The evolving distribution that asymptotically converges to the target distribution is…

Machine Learning · Computer Science 2019-05-07 Yuan Gao , Yuling Jiao , Yang Wang , Yao Wang , Can Yang , Shunkang Zhang

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence. Inspired by probabilistic interpretation of quantum…

Statistical Mechanics · Physics 2018-07-20 Zhao-Yu Han , Jun Wang , Heng Fan , Lei Wang , Pan Zhang

Several enhanced sampling techniques rely on the definition of collective variables to effectively explore free energy landscapes. Existing variables that describe the progression along a reactive pathway offer an elegant solution but face…

Chemical Physics · Physics 2024-02-05 Thorben Fröhlking , Luigi Bonati , Valerio Rizzi , Francesco Luigi Gervasio

Recently, it has become progressively more evident that classic diagnostic labels are unable to reliably describe the complexity and variability of several clinical phenotypes. This is particularly true for a broad range of neuropsychiatric…

Machine Learning · Computer Science 2024-02-28 Giovanna Maria Dimitri , Simeon Spasov , Andrea Duggento , Luca Passamonti , Pietro Li`o , Nicola Toschi

This paper presents a novel generative model to synthesize fluid simulations from a set of reduced parameters. A convolutional neural network is trained on a collection of discrete, parameterizable fluid simulation velocity fields. Due to…

Machine Learning · Computer Science 2019-09-05 Byungsoo Kim , Vinicius C. Azevedo , Nils Thuerey , Theodore Kim , Markus Gross , Barbara Solenthaler

This paper proposes a novel meta-learning approach to optimize a robust portfolio ensemble. The method uses a deep generative model to generate diverse and high-quality sub-portfolios combined to form the ensemble portfolio. The generative…

Neural and Evolutionary Computing · Computer Science 2023-07-18 Kamer Ali Yuksel

Phase change process plays a critical role in thermal management systems, yet quantitative characterization of multiphase heat transfer remains limited by the challenges of measuring temperature fields in chaotic, rapidly evolving flow…

Machine Learning · Computer Science 2026-02-03 Qianxi Fu , Youngjoon Suh , Xiaojing Zhang , Sanghyeon Chang , Yoonjin Won

This paper introduces the quantum deep sets model, expanding the quantum machine learning tool-box by enabling the possibility of learning variadic functions using quantum systems. A couple of variants are presented for this model. The…

Quantum Physics · Physics 2025-06-13 Vladimir Vargas-Calderón

We develop a class of data-driven generative models that approximate the solution operator for parameter-dependent partial differential equations (PDE). We propose a novel probabilistic formulation of the operator learning problem based on…

Numerical Analysis · Mathematics 2026-04-21 Ting Wang , Petr Plechac , Jaroslaw Knap

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

Atomic-scale phase-field modeling formulates the probability densities of atomic vibrations as Gaussian distributions and derives a free energy functional using variational Gaussian theory and interatomic potentials. This framework permits…

Materials Science · Physics 2025-09-17 Kairi Masuda , Yu Kumagai

Turbulence governs the transport of momentum, energy, and scalars in many geophysical and engineering flows. In large-eddy simulations (LES), parameterizing subgrid-scale (SGS) stresses remains a central challenge, as unresolved physical…

Fluid Dynamics · Physics 2025-10-02 Yu Cheng , Tianle Liu

A body of recent work in modeling neural activity focuses on recovering low-dimensional latent features that capture the statistical structure of large-scale neural populations. Most such approaches have focused on linear generative models,…

Neurons and Cognition · Quantitative Biology 2016-10-26 Yuanjun Gao , Evan Archer , Liam Paninski , John P. Cunningham

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…

Machine Learning · Computer Science 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

A good feature representation is a determinant factor to achieve high performance for many machine learning algorithms in terms of classification. This is especially true for techniques that do not build complex internal representations of…

Neural and Evolutionary Computing · Computer Science 2019-08-22 Noëlie Cherrier , Jean-Philippe Poli , Maxime Defurne , Franck Sabatié

The vast applications of deep generative models are anchored in three core capabilities -- generating new instances, reconstructing inputs, and learning compact representations -- across various data types, such as discrete text/protein…

Machine Learning · Computer Science 2024-06-06 Guangyi Liu , Yu Wang , Zeyu Feng , Qiyu Wu , Liping Tang , Yuan Gao , Zhen Li , Shuguang Cui , Julian McAuley , Zichao Yang , Eric P. Xing , Zhiting Hu