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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…

概率论 · 数学 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

神经元与认知 · 定量生物学 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…

机器学习 · 计算机科学 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…

统计力学 · 物理学 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…

化学物理 · 物理学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

神经与进化计算 · 计算机科学 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

数值分析 · 数学 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…

机器学习 · 统计学 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…

材料科学 · 物理学 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…

流体动力学 · 物理学 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,…

神经元与认知 · 定量生物学 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…

机器学习 · 计算机科学 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…

神经与进化计算 · 计算机科学 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…