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Many models for sparse regression typically assume that the covariates are known completely, and without noise. Particularly in high-dimensional applications, this is often not the case. This paper develops efficient OMP-like algorithms to…

Statistics Theory · Mathematics 2015-03-31 Yudong Chen , Constantine Caramanis

Ordinary differential equations (ODEs) are widely used to model complex dynamics that arises in biology, chemistry, engineering, finance, physics, etc. Calibration of a complicated ODE system using noisy data is generally very difficult. In…

Machine Learning · Statistics 2023-09-20 Kexuan Li , Fangfang Wang , Ruiqi Liu , Fan Yang , Zuofeng Shang

Identifying nonlinear dynamics and characterizing noise from data is critical across science and engineering for understanding and modeling the behavior of the systems accurately. The modified sparse identification of nonlinear dynamics…

Dynamical Systems · Mathematics 2024-10-24 Cristian López , Ángel Naranjo , Diego Salazar , Keegan J. Moore

Efficient removal of impulsive noise (IN) from received signal is essential in many communication applications. In this paper, we propose a two stage IN mitigation approach for orthogonal frequency-division multiplexing (OFDM)-based…

Signal Processing · Electrical Eng. & Systems 2019-01-03 Reza Barazideh , Solmaz Niknam , Balasubramaniam Natarajan

Highly accurate simulations of complex phenomena governed by partial differential equations (PDEs) typically require intrusive methods and entail expensive computational costs, which might become prohibitive when approximating steady-state…

Machine Learning · Computer Science 2023-05-17 Paolo Conti , Giorgio Gobat , Stefania Fresca , Andrea Manzoni , Attilio Frangi

In this work, we developed a nonlinear System Identification (SID) method that we called Entropic Regression. Our method adopts an information-theoretic measure for the data-driven discovery of the underlying dynamics. Our method shows…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Abd AlRahman R. AlMomani , Jie Sun , Erik Bollt

In the dynamic realms of machine learning and deep learning, the robustness and reliability of models are paramount, especially in critical real-world applications. A fundamental challenge in this sphere is managing Out-of-Distribution…

Machine Learning · Computer Science 2024-03-07 Yingrui Ji , Yao Zhu , Zhigang Li , Jiansheng Chen , Yunlong Kong , Jingbo Chen

The performance of estimated models is often evaluated in terms of their predictive capability. In this study, we investigate another important aspect of estimated model evaluation: the disparity between the statistical and dynamical…

Computational Physics · Physics 2023-07-19 Aljaz Pavšek , Martin Horvat , Jus Kocijan

Out-of-distribution (OOD) detection remains challenging for deep learning models, particularly when test-time OOD samples differ significantly from training outliers. We propose OODD, a novel test-time OOD detection method that dynamically…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Yifeng Yang , Lin Zhu , Zewen Sun , Hengyu Liu , Qinying Gu , Nanyang Ye

We perform a sparse identification of nonlinear dynamics (SINDy) for low-dimensionalized complex flow phenomena. We first apply the SINDy with two regression methods, the thresholded least square algorithm (TLSA) and the adaptive Lasso…

Fluid Dynamics · Physics 2021-12-08 Kai Fukami , Takaaki Murata , Kai Zhang , Koji Fukagata

Decision formation in perceptual decision-making involves sensory evidence accumulation instantiated by the temporal integration of an internal decision variable towards some decision criterion or threshold, as described by sequential…

Neurons and Cognition · Quantitative Biology 2024-10-15 Brendan Lenfesty , Saugat Bhattacharyya , KongFatt Wong-Lin

Power grid parameter estimation involves the estimation of unknown parameters, such as inertia and damping coefficients, using observed dynamics. In this work, we present a comparison of data-driven algorithms for the power grid parameter…

Systems and Control · Electrical Eng. & Systems 2021-07-09 Subhash Lakshminarayana , Saurav Sthapit , Carsten Maple

This paper considers a data detection problem in multiple-input multiple-output (MIMO) communication systems with hardware impairments. To address challenges posed by nonlinear and unknown distortion in received signals, two learning-based…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Jinman Kwon , Seunghyeon Jeon , Yo-Seb Jeon , H. Vincent Poor

Identifying governing equations from data is a critical step in the modeling and control of complex dynamical systems. Here, we investigate the data-driven identification of nonlinear dynamical systems with inputs and forcing using…

Dynamical Systems · Mathematics 2016-05-24 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Deep generative models offer a natural foundation for out-of-distribution (OOD) detection, yet prior work has shown that their assigned likelihoods are notoriously unreliable indicators for in- vs out-of-distribution data. In this paper, we…

Machine Learning · Computer Science 2026-05-22 Philipp Bomatter , Jack Geary , Henry Gouk

The accuracy of tinyML applications is often affected by various environmental factors, such as noises, location/calibration of sensors, and time-related changes. This article introduces a neural network based on-device learning (ODL)…

Machine Learning · Computer Science 2023-12-27 Kazuki Sunaga , Masaaki Kondo , Hiroki Matsutani

Many studies on acoustic radiation forces focus on characterizing the behavior of acoustic fields. However, the dynamic response of objects, particularly those larger than the wavelength, remains underexplored. Here we bridge this gap by…

Chaotic Dynamics · Physics 2025-08-06 Mehdi Akbarzadeh , Ben Halkon , Sebastian Oberst

A novel approach is presented for discovering PDEs that govern the motion of satellites in space. The method is based on SINDy, a data-driven technique capable of identifying the underlying dynamics of complex physical systems from time…

Machine Learning · Computer Science 2023-11-17 João Funenga , Marta Guimarães , Henrique Costa , Cláudia Soares

We draw on the latest advancements in the physics community to propose a novel method for discovering the governing non-linear dynamics of physical systems in reinforcement learning (RL). We establish that this method is capable of…

Machine Learning · Computer Science 2022-09-01 Rushiv Arora , Bruno Castro da Silva , Eliot Moss

Recent advances in computer vision have led to a resurgence of interest in visual data analytics. Researchers are developing systems for effectively and efficiently analyzing visual data at scale. A significant challenge that these systems…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Abhijit Suprem , Joy Arulraj , Calton Pu , Joao Ferreira
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