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We present CS-SHRED, a novel deep learning architecture that integrates Compressed Sensing (CS) into a Shallow Recurrent Decoder (SHRED) to reconstruct spatiotemporal dynamics from incomplete, compressed, or corrupted data. Our approach…

Machine Learning · Computer Science 2025-08-01 Romulo B. da Silva , Diego Passos , Cássio M. Oishi , J. Nathan Kutz

Reconstructing high-dimensional spatiotemporal fields from sparse sensor measurements is critical in a wide range of scientific applications. The SHallow REcurrent Decoder (SHRED) architecture is a recent state-of-the-art architecture that…

Machine Learning · Computer Science 2026-04-03 Mars Liyao Gao , Yuxuan Bao , Amy S. Rude , Xinwei Shen , J. Nathan Kutz

Room impulse responses (RIRs) are essential for many acoustic signal processing tasks, yet measuring them densely across space is often impractical. In this work, we propose RIR-Former, a grid-free, one-step feed-forward model for RIR…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-12 Shaoheng Xu , Chunyi Sun , Jihui Zhang , Prasanga N. Samarasinghe , Thushara D. Abhayapala

Implicit Neural Representations (INRs) offer exceptional fidelity for video compression by learning per-video optimized functions, but their adoption is crippled by impractically slow encoding times. Existing attempts to accelerate INR…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Vikram Rangarajan , Shishira Maiya , Max Ehrlich , Abhinav Shrivastava

Infrared small target detection (ISTD) has been a critical technology in defense and civilian applications over the past several decades, such as missile warning, maritime surveillance, and disaster monitoring. Nevertheless, moving infrared…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Yian Huang , Qing Qin , Aji Mao , Xiangyu Qiu , Liang Xu , Xian Zhang , Zhenming Peng

Multi-timescale sequence modeling relies on capturing both local fast dynamics and global slow context; yet, maintaining these capabilities under the strict memory constraints common to edge devices remains an open challenge. Current…

In recent years, the detection of infrared small targets using deep learning methods has garnered substantial attention due to notable advancements. To improve the detection capability of small targets, these methods commonly maintain a…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Qianchen Mao , Qiang Li , Bingshu Wang , Yongjun Zhang , Tao Dai , C. L. Philip Chen

Sparse regression has emerged as a popular technique for learning dynamical systems from temporal data, beginning with the SINDy (Sparse Identification of Nonlinear Dynamics) framework proposed by arXiv:1509.03580. Quantifying the…

Methodology · Statistics 2023-08-21 Sara Venkatraman , Sumanta Basu , Martin T. Wells

Reduced order models are becoming increasingly important for rendering complex and multiscale spatio-temporal dynamics computationally tractable. The computational efficiency of such surrogate models is especially important for design,…

Plasma Physics · Physics 2024-05-21 J. Nathan Kutz , Maryam Reza , Farbod Faraji , Aaron Knoll

Compressed sensing is an imaging paradigm that allows one to invert an underdetermined linear system by imposing the a priori knowledge that the sought after solution is sparse (i.e., mostly zeros). Previous works have shown that if one…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Nicholas Dwork , Erin K. Englund

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

This study proposes FTI-PBSM (Fixed-Time-Increment Physics-informed neural network-Based Surrogate Model), a novel physics-informed surrogate modeling framework designed for real-time reconstruction of transient responses in time-dependent…

Computational Physics · Physics 2025-08-11 Hong-Kyun Noh , Jeong-Hoon Park , Minseok Choi , Jae Hyuk Lim

Sparse regression has recently emerged as an attractive approach for discovering models of spatiotemporally complex dynamics directly from data. In many instances, such models are in the form of nonlinear partial differential equations…

Dynamical Systems · Mathematics 2020-01-29 Patrick A. K. Reinbold , Daniel R. Gurevich , Roman O. Grigoriev

We propose a general dynamic reduced-order modeling framework for typical experimental data: time-resolved sensor data and optional non-time-resolved PIV snapshots. This framework contains four steps. First, the sensor signals are lifted to…

Fluid Dynamics · Physics 2018-05-09 Jean-Christophe Loiseau , Bernd R. Noack , Steven L. Brunton

Individualized head-related impulse responses (HRIRs) enable binaural rendering, but dense per-listener measurements are costly. We address HRIR spatial up-sampling from sparse per-listener measurements: given a few measured HRIRs for a…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-31 Shaoheng Xu , Chunyi Sun , Jihui Zhang , Amy Bastine , Prasanga N. Samarasinghe , Thushara D. Abhayapala , Hongdong Li

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

We present a new data-driven reduced-order modeling approach to efficiently solve parametrized partial differential equations (PDEs) for many-query problems. This work is inspired by the concept of implicit neural representation (INR),…

Numerical Analysis · Mathematics 2023-11-30 Tianshu Wen , Kookjin Lee , Youngsoo Choi

Reliable inference of system degradation from sensor data is fundamental to condition monitoring and prognostics in mechanical and infrastructural systems. Since degradation is rarely directly observable and measurable, it must be inferred…

Machine Learning · Computer Science 2026-03-13 Mengjie Zhao , Olga Fink

Near-surface turbulent flows beneath a free surface are reconstructed from sparse measurements of the surface height variation, by a novel neural network algorithm known as the {\em SHallow REcurrent Decoder} (SHRED). The reconstruction of…

Fluid Dynamics · Physics 2026-03-12 Kristoffer S. Moen , Jørgen R. Aarnes , Simen Å. Ellingsen , J. Nathan Kutz

Continual Reinforcement Learning (CRL) is essential for developing agents that can learn, adapt, and accumulate knowledge over time. However, a fundamental challenge persists as agents must strike a delicate balance between plasticity,…

Machine Learning · Computer Science 2025-03-11 Chengqi Zheng , Haiyan Yin , Jianda Chen , Terence Ng , Yew-Soon Ong , Ivor Tsang