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Neural Operators (NOs) are machine learning models designed to solve partial differential equations (PDEs) by learning to map between function spaces. Neural Operators such as the Deep Operator Network (DeepONet) and the Fourier Neural…

机器学习 · 计算机科学 2025-04-30 W. Diab , M. Al-Kobaisi

Reconstructing PDE solutions from sparse observations is a core challenge in scientific computing. We present FM4PDE, a flow-matching generative framework that learns the joint distribution of PDE coefficients (or initial states) and…

机器学习 · 统计学 2026-05-26 Xifeng Zhang , Jin Zhao

Learning representations from videos requires understanding continuous motion and visual correspondences between frames. In this paper, we introduce the Concatenated Masked Autoencoders (CatMAE) as a spatial-temporal learner for…

计算机视觉与模式识别 · 计算机科学 2023-12-15 Zhouqiang Jiang , Bowen Wang , Tong Xiang , Zhaofeng Niu , Hong Tang , Guangshun Li , Liangzhi Li

This paper introduces novel deep dynamical models designed to represent continuous-time sequences. Our approach employs a neural emission model to generate each data point in the time series through a non-linear transformation of a latent…

机器学习 · 计算机科学 2025-02-06 Sheng Cheng , Deqian Kong , Jianwen Xie , Kookjin Lee , Ying Nian Wu , Yezhou Yang

Deep generative models have emerged as a powerful tool for learning useful molecular representations and designing novel molecules with desired properties, with applications in drug discovery and material design. However, most existing deep…

Joint-Embedding Predictive Architectures (JEPAs), a powerful class of self-supervised models, exhibit an unexplained ability to cluster time-series data by their underlying dynamical regimes. We propose a novel theoretical explanation for…

机器学习 · 计算机科学 2026-01-26 Pablo Ruiz-Morales , Dries Vanoost , Davy Pissoort , Mathias Verbeke

Scientific machine learning has enabled the extraction of physical insights and data-driven modeling of high-dimensional spatiotemporal data, yet achieving physically interpretable latent representations and computationally efficient…

机器学习 · 计算机科学 2026-05-04 Siva Viknesh , Amirhossein Arzani

We consider an inverse problem involving the reconstruction of the solution to a nonlinear partial differential equation (PDE) with unknown boundary conditions. Instead of direct boundary data, we are provided with a large dataset of…

数值分析 · 数学 2025-07-30 Erik Burman , Mats G. Larson , Karl Larsson , Carl Lundholm

The use of Variational Autoencoders in different Machine Learning tasks has drastically increased in the last years. They have been developed as denoising, clustering and generative tools, highlighting a large potential in a wide range of…

机器学习 · 计算机科学 2019-07-12 Helena Andrés-Terré , Pietro Lió

Although deep learning has achieved appealing results on several machine learning tasks, most of the models are deterministic at inference, limiting their application to single-modal settings. We propose a novel general-purpose framework…

机器学习 · 计算机科学 2020-10-12 Sameera Ramasinghe , Kanchana Ranasinghe , Salman Khan , Nick Barnes , Stephen Gould

Variational Autoencoder (VAE)-based generative models offer flexible representation learning by incorporating meta-priors, general premises considered beneficial for downstream tasks. However, the incorporated meta-priors often involve…

机器学习 · 计算机科学 2023-02-27 Nao Nakagawa , Ren Togo , Takahiro Ogawa , Miki Haseyama

Modern generative machine learning models demonstrate surprising ability to create realistic outputs far beyond their training data, such as photorealistic artwork, accurate protein structures, or conversational text. These successes…

机器学习 · 计算机科学 2024-01-17 William Gilpin

We propose a new method for inferring the governing stochastic ordinary differential equations (SODEs) by observing particle ensembles at discrete and sparse time instants, i.e., multiple "snapshots". Particle coordinates at a single time…

机器学习 · 计算机科学 2021-03-23 Liu Yang , Constantinos Daskalakis , George Em Karniadakis

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

机器学习 · 计算机科学 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

Learning representative embeddings for different types of speaking styles, such as emotion, age, and gender, is critical for both recognition tasks (e.g., cognitive computing and human-computer interaction) and generative tasks (e.g.,…

声音 · 计算机科学 2026-01-21 Haowei Lou , Hye-young Paik , Wen Hu , Lina Yao

In this work we explore deep generative models of text in which the latent representation of a document is itself drawn from a discrete language model distribution. We formulate a variational auto-encoder for inference in this model and…

计算与语言 · 计算机科学 2016-10-17 Yishu Miao , Phil Blunsom

Deep generative models have been used in recent years to learn coherent latent representations in order to synthesize high-quality images. In this work, we propose a neural network to learn a generative model for sampling consistent indoor…

计算机视觉与模式识别 · 计算机科学 2020-08-24 Pulak Purkait , Christopher Zach , Ian Reid

Density estimation, compression and data generation are crucial tasks in artificial intelligence. Variational Auto-Encoders (VAEs) constitute a single framework to achieve these goals. Here, we present a novel class of generative models,…

机器学习 · 统计学 2021-07-07 Ioannis Gatopoulos , Jakub M. Tomczak

Accurate long-term predictions are the foundations for many machine learning applications and decision-making processes. However, building accurate long-term prediction models remains challenging due to the limitations of existing temporal…

机器学习 · 计算机科学 2023-09-20 Kshitij Tayal , Arvind Renganathan , Rahul Ghosh , Xiaowei Jia , Vipin Kumar

Generative modeling aims to generate new data samples that resemble a given dataset, with diffusion models recently becoming the most popular generative model. One of the main challenges of diffusion models is solving the problem in the…

数值分析 · 数学 2025-10-08 Wonjun Lee , Riley C. W. O'Neill , Dongmian Zou , Jeff Calder , Gilad Lerman