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Reconstructing high-resolution sea surface temperatures (SST) from staggered SST measurements is essential for weather forecasting and climate projections. However, when SST measurements are sparse, the resulting inferred SST fields are…

Atmospheric and Oceanic Physics · Physics 2026-01-30 Cassidy All , Kevin Ho , Maya Magnuski , Christopher Nicolaides , Louisa B. Ebby , Mohammad Farazmand

Predicting the evolution of spatiotemporal physical systems from sparse and scattered observational data poses a significant challenge in various scientific domains. Traditional methods rely on dense grid-structured data, limiting their…

Machine Learning · Computer Science 2024-03-29 Andrzej Dulny , Paul Heinisch , Andreas Hotho , Anna Krause

Sparse sensor placement is a central challenge in the efficient characterization of complex systems when the cost of acquiring and processing data is high. Leading sparse sensing methods typically exploit either spatial or temporal…

Optimization and Control · Mathematics 2022-06-08 Thomas L. Mohren , Thomas L. Daniel , Steven L. Brunton , Bingni W. Brunton

With the rapid increase of available data for complex systems, there is great interest in the extraction of physically relevant information from massive datasets. Recently, a framework called Sparse Identification of Nonlinear Dynamics…

Machine Learning · Statistics 2018-04-18 Lorenzo Boninsegna , Feliks Nüske , Cecilia Clementi

Implicit Neural Representations (INRs) have revolutionized signal representation by leveraging neural networks to provide continuous and smooth representations of complex data. However, existing INRs face limitations in capturing…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Amirhossein Kazerouni , Reza Azad , Alireza Hosseini , Dorit Merhof , Ulas Bagci

Accurately modeling the nonlinear dynamics of a system from measurement data is a challenging yet vital topic. The sparse identification of nonlinear dynamics (SINDy) algorithm is one approach to discover dynamical systems models from data.…

Machine Learning · Computer Science 2021-04-28 Kadierdan Kaheman , J. Nathan Kutz , Steven L. Brunton

Interchanges are crucial nodes for vehicle transfers between highways, yet the lack of real-time ramp detectors creates blind spots in traffic prediction. To address this, we propose a Spatio-Temporal Decoupled Autoencoder (STDAE), a…

Machine Learning · Computer Science 2025-12-01 Yongchao Li , Jun Chen , Zhuoxuan Li , Chao Gao , Yang Li , Chu Zhang , Changyin Dong

Compressive sensing has shown significant promise in biomedical fields. It reconstructs a signal from sub-Nyquist random linear measurements. Classical methods only exploit the sparsity in one domain. A lot of biomedical signals have…

Information Theory · Computer Science 2016-11-26 Yipeng Liu , Maarten De Vos , Ivan Gligorijevic , Vladimir Matic , Yuqian Li , Sabine Van Huffel

The present paper introduces a method for substantial reduction of the number of diffusion encoding gradients required for reliable reconstruction of HARDI signals. The method exploits the theory of compressed sensing (CS), which…

Information Theory · Computer Science 2010-09-21 Oleg Michailovich , Yogesh Rathi , Sudipto Dolui

Learning dynamical systems is a promising avenue for scientific discoveries. However, capturing the governing dynamics in multiple environments still remains a challenge: model-based approaches rely on the fidelity of assumptions made for a…

Machine Learning · Computer Science 2023-03-09 MoonJeong Park , Youngbin Choi , Namhoon Lee , Dongwoo Kim

This paper introduces a novel framework and corresponding methods for sampling and reconstruction of sparse signals in shift-invariant (SI) spaces. We reinterpret the random demodulator, a system that acquires sparse bandlimited signals, as…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Tin Vlašić , Damir Seršić

MRI is increasingly desired to function near electronic devices that emit potentially dynamic electromagnetic interference (EMI). To accommodate for this, we propose the STRIDE method, which improves on previous external-sensor-based EMI…

Image and Video Processing · Electrical Eng. & Systems 2025-11-25 Alexander Mertens , Diego Martinez , Amgad Louka , Ying Yang , Chad Harris , Ian Connell

This work investigates model reduction techniques for nonlinear parameterized and time-dependent PDEs, specifically focusing on bifurcating phenomena in Computational Fluid Dynamics (CFD). We develop interpretable and non-intrusive Reduced…

Numerical Analysis · Mathematics 2025-12-01 Lorenzo Tomada , Moaad Khamlich , Federico Pichi , Gianluigi Rozza

Large language models deliver strong generative performance but at the cost of massive parameter counts, memory use, and decoding latency. Prior work has shown that pruning and structured sparsity can preserve accuracy under substantial…

Computation and Language · Computer Science 2026-04-17 Andrew Kiruluta

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

Information Theory · Computer Science 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

Sensory stimuli in animals are encoded into spike trains by neurons, offering advantages such as sparsity, energy efficiency, and high temporal resolution. This paper presents a signal processing framework that deterministically encodes…

Neural and Evolutionary Computing · Computer Science 2024-08-15 Anik Chattopadhyay , Arunava Banerjee

In this work, we present a new method for 3D face reconstruction from sparse-view RGB images. Unlike previous methods which are built upon 3D morphable models (3DMMs) with limited details, we leverage an implicit representation to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Moran Li , Haibin Huang , Yi Zheng , Mengtian Li , Nong Sang , Chongyang Ma

We propose RHYME-XT, an operator-learning framework for surrogate modeling of spatiotemporal control systems governed by input-affine nonlinear partial integro-differential equations (PIDEs) with localized rhythmic behavior. RHYME-XT uses a…

Machine Learning · Computer Science 2026-03-19 Marijn Ruiter , Miguel Aguiar , Jake Rap , Karl H. Johansson , Amritam Das

Implicit Neural Spatial Representation (INSR) has emerged as an effective representation of spatially-dependent vector fields. This work explores solving time-dependent PDEs with INSR. Classical PDE solvers introduce both temporal and…

Machine Learning · Computer Science 2023-06-01 Honglin Chen , Rundi Wu , Eitan Grinspun , Changxi Zheng , Peter Yichen Chen

The cost of writing, transferring, and storing large data from unsteady simulations limits access to the entire solution, often leaving much of the flow under-sampled or unanalyzed. For example, modeling transient behavior of rare dynamic…

Data Analysis, Statistics and Probability · Physics 2024-10-17 Spencer L. Stahl , Stuart I. Benton