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Given their ability to effectively learn non-linear mappings and perform fast inference, deep neural networks (NNs) have been proposed as a viable alternative to traditional simulation-driven approaches for solving high-dimensional…

机器学习 · 计算机科学 2022-02-16 Sangeeta Srivastava , Samuel Olin , Viktor Podolskiy , Anuj Karpatne , Wei-Cheng Lee , Anish Arora

Black-box optimization is a powerful approach for discovering global optima in noisy and expensive black-box functions, a problem widely encountered in real-world scenarios. Recently, there has been a growing interest in leveraging domain…

机器学习 · 计算机科学 2024-02-06 Dat Phan-Trong , Hung The Tran , Alistair Shilton , Sunil Gupta

Often the analysis of time-dependent chemical and biophysical systems produces high-dimensional time-series data for which it can be difficult to interpret which individual features are most salient. While recent work from our group and…

Although substantial efforts have been made to learn disentangled representations under the variational autoencoder (VAE) framework, the fundamental properties to the dynamics of learning of most VAE models still remain unknown and…

机器学习 · 计算机科学 2020-07-14 Yanjun Li , Shujian Yu , Jose C. Principe , Xiaolin Li , Dapeng Wu

We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate model for predicting the evolution of a system governed by a time-dependent nonlinear partial differential equation (PDE), an…

数值分析 · 数学 2022-02-28 Elizabeth Qian , Ionut-Gabriel Farcas , Karen Willcox

Inference centers need more data to have a more comprehensive and beneficial learning model, and for this purpose, they need to collect data from data providers. On the other hand, data providers are cautious about delivering their datasets…

机器学习 · 计算机科学 2023-04-10 Mohammad Ali Jamshidi , Hadi Veisi , Mohammad Mahdi Mojahedian , Mohammad Reza Aref

Building a scalable machine learning system for unsupervised anomaly detection via representation learning is highly desirable. One of the prevalent methods is using a reconstruction error from variational autoencoder (VAE) via maximizing…

机器学习 · 计算机科学 2020-05-08 Seonho Park , George Adosoglou , Panos M. Pardalos

Electricity distribution cable networks suffer from incomplete and unbalanced data, hindering the effectiveness of machine learning models for predictive maintenance and reliability evaluation. Features such as the installation date of the…

机器学习 · 计算机科学 2025-01-22 Konrad Sundsgaard , Kutay Bölat , Guangya Yang

Modelling the underlying mechanisms of neurodegenerative diseases demands methods that capture heterogeneous and spatially varying dynamics from sparse, high-dimensional neuroimaging data. Integrating partial differential equation (PDE)…

图像与视频处理 · 电气工程与系统科学 2025-09-19 Sanduni Pinnawala , Annabelle Hartanto , Ivor J. A. Simpson , Peter A. Wijeratne

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Partial differential equations (PDEs) are widely used to describe relevant phenomena in dynamical systems. In real-world applications, we commonly need to combine formal PDE models with (potentially noisy) observations. This is especially…

机器学习 · 计算机科学 2024-07-08 Monika Nagy-Huber , Volker Roth

The ultimate aim of the study is to explore the inverse design of porous metamaterials using a deep learning-based generative framework. Specifically, we develop a property-variational autoencoder (pVAE), a variational autoencoder (VAE)…

机器学习 · 计算机科学 2025-07-25 Phu Thien Nguyen , Yousef Heider , Dennis M. Kochmann , Fadi Aldakheel

Image denoising is a critical task in various scientific fields such as medical imaging and material characterization, where the accurate recovery of underlying structures from noisy data is essential. Although supervised denoising…

图像与视频处理 · 电气工程与系统科学 2025-02-12 Jianxin Xie , Wonhee Ko , Rui-Xing Zhang , Bing Yao

In this paper, we describe the "implicit autoencoder" (IAE), a generative autoencoder in which both the generative path and the recognition path are parametrized by implicit distributions. We use two generative adversarial networks to…

机器学习 · 计算机科学 2019-02-08 Alireza Makhzani

Identifying governing partial differential equations (PDEs) from noisy spatiotemporal data remains challenging due to differentiation-induced noise amplification and ambiguity from overcomplete libraries. We propose a prior-informed…

数值分析 · 数学 2026-03-16 Cheng Tang , Hao Liu , Dong Wang

The central question in representation learning is what constitutes a good or meaningful representation. In this work we argue that if we consider data with inherent cluster structures, where clusters can be characterized through different…

Adaptability is central to autonomy. Intuitively, for high-dimensional learning problems such as navigating based on vision, internal models with higher complexity allow to accurately encode the information available. However, most learning…

机器人学 · 计算机科学 2017-12-15 Thushan Ganegedara , Lionel Ott , Fabio Ramos

A physics-informed neural network is developed to solve conductive heat transfer partial differential equation (PDE), along with convective heat transfer PDEs as boundary conditions (BCs), in manufacturing and engineering applications where…

机器学习 · 计算机科学 2021-03-29 Navid Zobeiry , Keith D. Humfeld

The discovery of underlying surface partial differential equation (PDE) from observational data has significant implications across various fields, bridging the gap between theory and observation, enhancing our understanding of complex…

数值分析 · 数学 2024-09-16 Zhengjie Sun , Leevan Ling , Ran Zhang

Specifying a governing physical model in the presence of missing physics and recovering its parameters are two intertwined and fundamental problems in science. Modern machine learning allows one to circumvent these, via emulators and…

机器学习 · 计算机科学 2020-06-30 Daniel J. Tait , Theodoros Damoulas