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Variational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical…

Machine Learning · Statistics 2025-12-23 Sobihan Surendran , Antoine Godichon-Baggioni , Sylvain Le Corff

Uncertainty quantification (UQ) of subsurface two-phase flow usually requires numerous executions of forward simulations under varying conditions. In this work, a novel coupled theory-guided neural network (TgNN) based surrogate model is…

Fluid Dynamics · Physics 2023-09-08 Jian Li , Dongxiao Zhang , Tianhao He , Qiang Zheng

Physics-guided deep learning is an important prevalent research topic in scientific machine learning, which has tremendous potential in various complex applications including science and engineering. In these applications, data is expensive…

Numerical Analysis · Mathematics 2024-11-11 Qingping Zhou , Guixian Xu , Zhexin Wen , Hongqiao Wang

Regularized autoencoders learn the latent codes, a structure with the regularization under the distribution, which enables them the capability to infer the latent codes given observations and generate new samples given the codes. However,…

Machine Learning · Computer Science 2019-02-18 Wenju Xu , Shawn Keshmiri , Guanghui Wang

Simultaneous recordings from thousands of neurons across multiple brain areas reveal rich mixtures of activity that are shared between regions and dynamics that are unique to each region. Existing alignment or multi-view methods neglect…

Machine Learning · Computer Science 2025-10-24 Ram Dyuthi Sristi , Sowmya Manojna Narasimha , Jingya Huang , Alice Despatin , Simon Musall , Vikash Gilja , Gal Mishne

Many physical systems exhibit a low-dimensional structure that varies with external parameters: link lengths in a robot, forcing constants in a fluid, or Reynolds numbers in a flow shift the underlying manifold while preserving its…

Machine Learning · Computer Science 2026-05-20 Jérôme Adriaens , Gustave Bainier , Guillaume Drion , Pierre Sacré

In this work, we present a Boundary Oriented Graph Embedding (BOGE) approach for the Graph Neural Network (GNN) to serve as a general surrogate model for regressing physical fields and solving boundary value problems. Providing shortcuts…

Numerical Analysis · Mathematics 2021-09-01 Xingyu Fu , Fengfeng Zhou , Dheeraj Peddireddy , Zhengyang Kang , Martin Byung-Guk Jun , Vaneet Aggarwal

Oilfield development related decisions are made using reservoir simulation-based optimization study in which different production scenarios and well controls are compared. Such simulations are computationally expensive and so surrogate…

Machine Learning · Computer Science 2022-03-01 Ajitabh Kumar

We present a graph neural network (GNN) based surrogate framework for molecular dynamics simulations that directly predicts atomic displacements and learns the underlying evolution operator of an atomistic system. Unlike conventional…

Materials Science · Physics 2025-12-29 Judah Immanuel , Avik Mahata , Aniruddha Maiti

Many real-world applications demand accurate and fast predictions, as well as reliable uncertainty estimates. However, quantifying uncertainty on high-dimensional predictions is still a severely under-investigated problem, especially when…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Saurabh Deshpande , Hussein Rappel , Mark Hobbs , Stéphane P. A. Bordas , Jakub Lengiewicz

Optimizing the execution time of tensor program, e.g., a convolution, involves finding its optimal configuration. Searching the configuration space exhaustively is typically infeasible in practice. In line with recent research using TVM, we…

Machine Learning · Statistics 2019-11-28 Jakub M. Tomczak , Romain Lepert , Auke Wiggers

In this paper, we propose Normality-Calibrated Autoencoder (NCAE), which can boost anomaly detection performance on the contaminated datasets without any prior information or explicit abnormal samples in the training phase. The NCAE…

Machine Learning · Computer Science 2021-10-29 Jongmin Yu , Hyeontaek Oh , Minkyung Kim , Junsik Kim

Traditional network analysis focuses on single-layer networks, real-world systems often form multilayer networks with multiple relationship types. However, existing methods typically fail to capture complex inter-layer dependencies by…

Masked Graph Auto-Encoder, a powerful graph self-supervised training paradigm, has recently shown superior performance in graph representation learning. Existing works typically rely on node contextual information to recover the masked…

Machine Learning · Computer Science 2025-08-15 Ziyu Zheng , Yaming Yang , Ziyu Guan , Wei Zhao , Weigang Lu

Accurate and predictive scale-resolving simulations of laser-ignited rocket engines are highly time-consuming because the problem includes turbulent fuel-oxidizer mixing dynamics, laser-induced energy deposition, and high-speed flame…

Machine Learning · Computer Science 2026-03-10 Tony Zahtila , Ettore Saetta , Murray Cutforth , Davy Brouzet , Diego Rossinelli , Gianluca Iaccarino

A critical aspect of reliable communication involves the design of codes that allow transmissions to be robustly and computationally efficiently decoded under noisy conditions. Advances in the design of reliable codes have been driven by…

Information Theory · Computer Science 2021-11-23 Karl Chahine , Yihan Jiang , Pooja Nuti , Hyeji Kim , Joonyoung Cho

Masked graph autoencoder (MGAE) has emerged as a promising self-supervised graph pre-training (SGP) paradigm due to its simplicity and effectiveness. However, existing efforts perform the mask-then-reconstruct operation in the raw data…

Machine Learning · Computer Science 2023-04-07 Wenxuan Tu , Qing Liao , Sihang Zhou , Xin Peng , Chuan Ma , Zhe Liu , Xinwang Liu , Zhiping Cai

Machine learning on trees has been mostly focused on trees as input to algorithms. Much less research has investigated trees as output, which has many applications, such as molecule optimization for drug discovery, or hint generation for…

Machine Learning · Computer Science 2022-02-11 Benjamin Paassen , Irena Koprinska , Kalina Yacef

Graph neural networks (GNNs) have emerged as a powerful framework for a wide range of node-level graph learning tasks. However, their performance typically depends on random or minimally informed initial feature representations, where poor…

Machine Learning · Computer Science 2026-02-24 Shiyu Chen , Cencheng Shen , Youngser Park , Carey E. Priebe

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…

Machine Learning · Computer Science 2020-06-30 Daniel J. Tait , Theodoros Damoulas
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