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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…

Machine Learning · Computer Science 2022-12-05 Pascal Mattia Esser , Satyaki Mukherjee , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar

In numerous applications, surrogate models are used as a replacement for accurate parameter-to-observable mappings when solving large-scale inverse problems governed by partial differential equations (PDEs). The surrogate model may be a…

Optimization and Control · Mathematics 2025-12-08 Ruanui Nicholson , Radoslav Vuchkov , Umberto Villa , Noemi Petra

Deep auto-encoders (DAEs) have achieved great success in learning data representations via the powerful representability of neural networks. But most DAEs only focus on the most dominant structures which are able to reconstruct the data…

Machine Learning · Computer Science 2020-07-14 Zhao Kang , Xiao Lu , Jian Liang , Kun Bai , Zenglin Xu

Irregular sampling of time series in electronic health records (EHRs) is one of the main challenges for developing machine learning models. Additionally, the pattern of missing data in certain clinical variables is not at random but depends…

Machine Learning · Computer Science 2024-06-17 Hojjat Karami , David Atienza , Anisoara Ionescu

Inverse problems often involve matching observational data using a physical model that takes a large number of parameters as input. These problems tend to be under-constrained and require regularization to impose additional structure on the…

Computational Physics · Physics 2019-06-07 Daniel O'Malley , John K. Golden , Velimir V. Vesselinov

Generative Adversarial Networks (GANs) play an increasingly important role in machine learning. However, there is one fundamental issue hindering their practical applications: the absence of capability for encoding real-world samples. The…

Machine Learning · Computer Science 2022-03-02 Jiapeng Zhu , Deli Zhao , Bo Zhang , Bolei Zhou

Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

Reasoning in a temporal knowledge graph (TKG) is a critical task for information retrieval and semantic search. It is particularly challenging when the TKG is updated frequently. The model has to adapt to changes in the TKG for efficient…

Artificial Intelligence · Computer Science 2021-05-11 Jiapeng Wu , Yishi Xu , Yingxue Zhang , Chen Ma , Mark Coates , Jackie Chi Kit Cheung

Integrating physics models within machine learning models holds considerable promise toward learning robust models with improved interpretability and abilities to extrapolate. In this work, we focus on the integration of incomplete physics…

Machine Learning · Computer Science 2021-10-28 Naoya Takeishi , Alexandros Kalousis

Autoencoder-based learning has emerged as a staple for disciplining representations in unsupervised and semi-supervised settings. This paper analyzes a framework for improving generalization in a purely supervised setting, where the target…

Machine Learning · Statistics 2020-01-24 Daniel Jarrett , Mihaela van der Schaar

A major challenge in quantum computing is its application to large real-world datasets due to scarce quantum hardware resources. One approach to enabling tractable quantum models for such datasets involves finding low-dimensional…

Quantum Physics · Physics 2025-04-11 Gaoyuan Wang , Jonathan Warrell , Prashant S. Emani , Mark Gerstein

As machine learning based systems become more integrated into daily life, they unlock new opportunities but face the challenge of adapting to dynamic data environments. Various forms of data shift-gradual, abrupt, or cyclic-threaten model…

Machine Learning · Computer Science 2025-06-04 Bonpagna Kann , Sandra Castellanos-Paez , Romain Rombourg , Philippe Lalanda

Non-independent and identically distributed (Non-IID) data across edge clients have long posed significant challenges to federated learning (FL) training in edge computing environments. Prior works have proposed various methods to mitigate…

Machine Learning · Computer Science 2025-04-25 Weijie Liu , Ziwei Zhan , Carlee Joe-Wong , Edith Ngai , Jingpu Duan , Deke Guo , Xu Chen , Xiaoxi Zhang

Layout design with complex constraints is a challenging problem to solve due to the non-uniqueness of the solution and the difficulties in incorporating the constraints into the conventional optimization-based methods. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2018-06-11 Yujie Zhang , Wenjing Ye

This work presents a non-intrusive surrogate modeling scheme based on machine learning technology for predictive modeling of complex systems, described by parametrized time-dependent PDEs. For these problems, typical finite element…

Numerical Analysis · Mathematics 2021-04-26 Stefanos Nikolopoulos , Ioannis Kalogeris , Vissarion Papadopoulos

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

Numerical Analysis · Mathematics 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

Machine Learning · Computer Science 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

In complex large-scale systems such as climate, important effects are caused by a combination of confounding processes that are not fully observable. The identification of sources from observations of system state is vital for attribution…

Machine Learning · Statistics 2023-03-22 Joseph Hart , Mamikon Gulian , Indu Manickam , Laura Swiler

Identification of a groundwater contaminant source simultaneously with the hydraulic conductivity in highly-heterogeneous media often results in a high-dimensional inverse problem. In this study, a deep autoregressive neural network-based…

Machine Learning · Statistics 2019-03-19 Shaoxing Mo , Nicholas Zabaras , Xiaoqing Shi , Jichun Wu

We propose a sparse reconstruction framework (aNETT) for solving inverse problems. Opposed to existing sparse reconstruction techniques that are based on linear sparsifying transforms, we train an autoencoder network $D \circ E$ with $E$…

Numerical Analysis · Mathematics 2020-04-22 Daniel Obmann , Linh Nguyen , Johannes Schwab , Markus Haltmeier