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Many signal processing algorithms break the target signal into overlapping segments (also called windows, or patches), process them separately, and then stitch them back into place to produce a unified output. At the overlaps, the final…

Signal Processing · Electrical Eng. & Systems 2021-03-15 Ignacio Francisco Ramírez Paulino

The Equation-Free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for numerical macro-scale reduction -- the patch dynamics scheme. A recent novel patch scheme empowered the…

Dynamical Systems · Mathematics 2021-08-27 John Maclean , J. E. Bunder , I. G. Kevrekidis , A. J. Roberts

We propose a novel framework, Continuous_Time Attention, which infuses partial differential equations (PDEs) into the Transformer's attention mechanism to address the challenges of extremely long input sequences. Instead of relying solely…

Machine Learning · Computer Science 2025-12-30 Yukun Zhang , Xueqing Zhou

Dynamical systems in the life sciences are often composed of complex mixtures of overlapping behavioral regimes. Cellular subpopulations may shift from cycling to equilibrium dynamics or branch towards different developmental fates. The…

Machine Learning · Computer Science 2025-10-13 Nathan Quiblier , Roy Friedman , Matthew Ricci

Optimal engine operation during a transient driving cycle is the key to achieving greater fuel economy, engine efficiency, and reduced emissions. In order to achieve continuously optimal engine operation, engine calibration methods use a…

Machine Learning · Computer Science 2019-09-24 Shashi M. Aithal , Prasanna Balaprakash

Handling imbalanced datasets is a challenging problem that if not treated correctly results in reduced classification performance. Imbalanced datasets are commonly handled using minority oversampling, whereas the SMOTE algorithm is a…

Machine Learning · Computer Science 2016-07-25 Xi Zhang , Di Ma , Lin Gan , Shanshan Jiang , Gady Agam

Recently, practical analog in-memory computing has been realized using unmodified commercial DRAM modules. The underlying Processing-Using-DRAM (PUD) techniques enable high-throughput bitwise operations directly within DRAM arrays. However,…

Hardware Architecture · Computer Science 2025-05-09 Tatsuya Kubo , Daichi Tokuda , Lei Qu , Ting Cao , Shinya Takamaeda-Yamazaki

Dynamic scattering remains a significant challenge to the practical deployment of anti-scattering imaging. Existing methods, such as transmission matrix measurements, iterative wavefront shaping, and optical phase conjugation, depend on a…

We consider a class of relaxation problems mixing slow and fast variations which can describe population dynamics models or hyperbolic systems, with varying stiffness (from non-stiff to strongly dissipative), and develop a multi-scale…

Analysis of PDEs · Mathematics 2020-05-27 Philippe Chartier , Mohammed Lemou , Léopold Trémant

Low-count positron emission tomography (PET) reconstruction is a challenging inverse problem due to severe degradations arising from Poisson noise, photon scarcity, and attenuation correction errors. Existing deep learning methods typically…

Image and Video Processing · Electrical Eng. & Systems 2026-04-09 Zheng Zhang , Hao Tang , Yingying Hu , Zhanli Hu , Jing Qin

Transformers have rapidly increased in popularity in recent years, achieving state-of-the-art performance in processing text, images, audio and video. However, Transformers present large computational requirements for both training and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Amrit Nagarajan , Anand Raghunathan

The implementation difficulties of combining distribution matching (DM) and dematching (invDM) for probabilistic shaping (PS) with soft-decision forward error correction (FEC) coding can be relaxed by reverse concatenation, for which the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

Speculative decoding has emerged as an effective approach for accelerating autoregressive inference by parallelizing token generation through a draft-then-verify paradigm. However, existing methods rely on static drafting lengths and rigid…

Computation and Language · Computer Science 2026-05-29 Jaydip Sen , Subhasis Dasgupta , Hetvi Waghela

The recent surge in Time Series Foundation Models has rapidly advanced the field, yet the heterogeneous training setups across studies make it difficult to attribute improvements to architectural innovations versus data engineering. In this…

Machine Learning · Computer Science 2026-02-09 Yunshi Wen , Wesley M. Gifford , Chandra Reddy , Lam M. Nguyen , Jayant Kalagnanam , Anak Agung Julius

Universal fault-tolerant quantum computation will require real-time decoding algorithms capable of quickly extracting logical outcomes from the stream of data generated by noisy quantum hardware. We propose modular decoding, an approach…

Quantum Physics · Physics 2023-03-10 Héctor Bombín , Chris Dawson , Ye-Hua Liu , Naomi Nickerson , Fernando Pastawski , Sam Roberts

This article proposes a new way to construct computationally efficient `wrappers' around fine scale, microscopic, detailed descriptions of dynamical systems, such as molecular dynamics, to make predictions at the macroscale `continuum'…

Dynamical Systems · Mathematics 2017-03-06 Hammad Alotaibi , Barry Cox , A. J. Roberts

Intensity minima and maxima of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge $\pm 1$ to the impinging coherent beam. This transform arises from the intuitive…

Optics · Physics 2017-02-01 Jérôme Gateau , Hervé Rigneault , Marc Guillon

Reconstructing PDE-governed fields from sparse and irregular measurements is challenging due to their ill-posed nature. Deterministic surrogates are trained on dense fields that struggle with limited measurements and uncertainty…

Machine Learning · Computer Science 2026-05-18 Hao Zhou , Rui Zhang , Han Wan , Hao Sun

Statistical surrogate modeling of fluid flows is hard because dynamics are multiscale and highly sensitive to initial conditions. Conditional diffusion surrogates can be accurate, but usually need hundreds of stochastic sampling steps. We…

Machine Learning · Computer Science 2026-02-10 Victor Armegioiu , Yannick Ramic , Siddhartha Mishra

In this technical report, we establish the asymptotic stability of MPC under plant-model mismatch for problems where the origin remains a steady state despite mismatch. This class of problems includes, but is not limited to, inventory…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Steven J. Kuntz , James B. Rawlings
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