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Estimating covariance matrix from massive high-dimensional and distributed data is significant for various real-world applications. In this paper, we propose a data-aware weighted sampling based covariance matrix estimator, namely DACE,…

Machine Learning · Computer Science 2020-10-13 Xixian Chen , Haiqin Yang , Shenglin Zhao , Michael R. Lyu , Irwin King

Detection with high dimensional multimodal data is a challenging problem when there are complex inter- and intra- modal dependencies. While several approaches have been proposed for dependent data fusion (e.g., based on copula theory),…

Applications · Statistics 2018-02-14 Thakshila Wimalajeewa , Pramod K. Varshney

Monte Carlo simulations of neutronic systems are computationally intensive and demand significant memory resources for high-fidelity modeling. Compressed sensing enables accurate reconstruction of signals from significantly fewer samples…

Computational Physics · Physics 2026-02-10 Ethan Lame , Camille Palmer , Todd Palmer , Ilham Variansyah

This paper deals with the non-convex power system state estimation (PSSE) problem, which plays a central role in the monitoring and operation of electric power networks. Given a set of noisy measurements, PSSE aims at estimating the vector…

Optimization and Control · Mathematics 2017-04-04 Yu Zhang , Ramtin Madani , Javad Lavaei

Deep neural networks (DNNs) have become the state-of-the-art technique for machine learning tasks in various applications. However, due to their size and the computational complexity, large DNNs are not readily deployable on edge devices in…

Machine Learning · Computer Science 2018-05-31 Lazar Supic , Rawan Naous , Ranko Sredojevic , Aleksandra Faust , Vladimir Stojanovic

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

Information Theory · Computer Science 2014-10-22 Yanting Ma , Junan Zhu , Dror Baron

A probability density function (pdf) encodes the entire stochastic knowledge about data distribution, where data may represent stochastic observations in robotics, transition state pairs in reinforcement learning or any other empirically…

Machine Learning · Computer Science 2018-09-18 Dmitry Kopitkov , Vadim Indelman

In cryo-electron microscopy, the 3D electric potentials of an ensemble of molecules are projected along arbitrary viewing directions to yield noisy 2D images. The volume maps representing these potentials typically exhibit a great deal of…

Applications · Statistics 2018-02-08 Joakim Andén , Amit Singer

In a multiple measurement vector problem (MMV), where multiple signals share a common sparse support and are sampled by a common sensing matrix, we can expect joint sparsity to enable a further reduction in the number of required…

Information Theory · Computer Science 2015-06-03 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

Dynamical Systems · Mathematics 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Recent end-to-end deep neural networks for disparity regression have achieved the state-of-the-art performance. However, many well-acknowledged specific properties of disparity estimation are omitted in these deep learning algorithms.…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Yang Chen , Zongqing Lu , Xuechen Zhang , Lei Chen , Qingmin Liao

Recent advances in deep learning have made available large, powerful convolutional neural networks (CNN) with state-of-the-art performance in several real-world applications. Unfortunately, these large-sized models have millions of…

Machine Learning · Computer Science 2020-07-17 Giosuè Cataldo Marinò , Gregorio Ghidoli , Marco Frasca , Dario Malchiodi

In this paper, we propose the coarse-to-fine optimization for the task of speech enhancement. Cosine similarity loss [1] has proven to be an effective metric to measure similarity of speech signals. However, due to the large variance of the…

Sound · Computer Science 2019-08-23 Jian Yao , Ahmad Al-Dahle

This paper provides performance bounds for compressed sensing in the presence of Poisson noise using expander graphs. The Poisson noise model is appropriate for a variety of applications, including low-light imaging and digital streaming,…

Information Theory · Computer Science 2015-05-19 Maxim Raginsky , Sina Jafarpour , Zachary Harmany , Roummel Marcia , Rebecca Willett , Robert Calderbank

Data compression is a popular technique for improving the efficiency of data processing workloads such as SQL queries and more recently, machine learning (ML) with classical batch gradient methods. But the efficacy of such ideas for…

Machine Learning · Computer Science 2019-01-23 Fengan Li , Lingjiao Chen , Yijing Zeng , Arun Kumar , Jeffrey F. Naughton , Jignesh M. Patel , Xi Wu

Quantization (Alistarh et al., 2017) is an important (stochastic) compression technique that reduces the volume of transmitted bits during each communication round in distributed model training. Suresh et al. (2022) introduce correlated…

Machine Learning · Computer Science 2024-01-12 Andrei Panferov , Yury Demidovich , Ahmad Rammal , Peter Richtárik

Today's scientific simulations, for example in the high-performance exascale sector, produce huge amounts of data. Due to limited I/O bandwidth and available storage space, there is the necessity to reduce scientific data of high…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-25 N. Böing , J. Holke , C. Hergl , L. Spataro , G. Gassner , A. Basermann

In array processing, a common problem is to estimate the angles of arrival of $K$ deterministic sources impinging on an array of $M$ antennas, from $N$ observations of the source signal, corrupted by gaussian noise. The problem reduces to…

Probability · Mathematics 2011-06-28 Walid Hachem , Philippe Loubaton , Xavier Mestre , Jamal Najim , Pascal Vallet

This paper studies the joint support recovery of similar sparse vectors on the basis of a limited number of noisy linear measurements, i.e., in a multiple measurement vector (MMV) model. The additive noise signals on each measurement vector…

Information Theory · Computer Science 2015-06-18 J. F. Determe , J. Louveaux , L. Jacques , F. Horlin

Purpose: For quantitative susceptibility mapping (QSM), the lack of ground-truth in clinical settings makes it challenging to determine suitable parameters for the dipole inversion. We propose a probabilistic Bayesian approach for QSM with…

Image and Video Processing · Electrical Eng. & Systems 2023-06-01 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu