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In dealing with high-dimensional data, factor models are often used for reducing dimensions and extracting relevant information. The spectrum of covariance matrices from power data exhibits two aspects: 1) bulk, which arises from random…

Applications · Statistics 2019-10-22 Xin Shi , Robert Qiu

Deep neural network pruning and quantization techniques have demonstrated it is possible to achieve high levels of compression with surprisingly little degradation to test set accuracy. However, this measure of performance conceals…

Machine Learning · Computer Science 2021-09-07 Sara Hooker , Aaron Courville , Gregory Clark , Yann Dauphin , Andrea Frome

Sparsity in the eigenvectors of signal covariance matrices is exploited in this paper for compression and denoising. Dimensionality reduction (DR) and quantization modules present in many practical compression schemes such as transform…

Applications · Statistics 2015-06-03 Ioannis D. Schizas , Georgios B. Giannakis

Modern data analyses frequently encounter settings where samples of variables are contaminated by measurement error. Ignoring measurement noise can substantially degrade statistical inference, while existing correction techniques are often…

Methodology · Statistics 2026-04-15 Ritwik Vashistha , Jeff M. Phillips , Abhra Sarkar , Arya Farahi

Diffusion models typically inject isotropic Gaussian noise, disregarding structure in the data. Motivated by the way quantum squeezed states redistribute uncertainty according to the Heisenberg uncertainty principle, we introduce Squeezed…

Machine Learning · Computer Science 2025-11-19 Jyotirmai Singh , Samar Khanna , James Burgess

This work proposes to reduce visibility data volume using a baseline-dependent lossy compression technique that preserves smearing at the edges of the field-of-view. We exploit the relation of the rank of a matrix and the fact that a…

Instrumentation and Methods for Astrophysics · Physics 2023-04-17 M Atemkeng , S Perkins , E Seck , S Makhathini , O Smirnov , L Bester , B Hugo

Neural networks are widely used for image-related tasks but typically demand considerable computing power. Once a network has been trained, however, its memory- and compute-footprint can be reduced by compression. In this work, we focus on…

Machine Learning · Computer Science 2025-11-13 Alper Kalle , Theo Rudkiewicz , Mohamed-Oumar Ouerfelli , Mohamed Tamaazousti

The deep neural network (DNN) based speech enhancement approaches have achieved promising performance. However, the number of parameters involved in these methods is usually enormous for the real applications of speech enhancement on the…

Sound · Computer Science 2020-10-13 Xingwei Sun , Ze-Feng Gao , Zhong-Yi Lu , Junfeng Li , Yonghong Yan

This paper proposes a data-driven framework to learn a finite-dimensional approximation of a Koopman operator for approximating the state evolution of a dynamical system under noisy observations. To this end, our proposed solution has two…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Wenjian Hao , Devesh Upadhyay , Shaoshuai Mou

Time-series data, such as unsteady pressure-sensitive paint (PSP) measurement data, may contain a significant amount of random noise. Thus, in this study, we investigated a noise-reduction method that combines multivariate singular spectrum…

Image and Video Processing · Electrical Eng. & Systems 2022-11-14 Yuya Ohmichi , Kohmi Takahashi , Kazuyuki Nakakita

Focusing on the well motivated aperture mass statistics $\Map$, we study the possibility of constraining cosmological parameters using future space based SNAP class weak lensing missions. Using completely analytical results we construct the…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Patrick Valageas

Weather and climate simulations produce petabytes of high-resolution data that are later analyzed by researchers in order to understand climate change or severe weather. We propose a new method of compressing this multidimensional weather…

Machine Learning · Computer Science 2023-04-17 Langwen Huang , Torsten Hoefler

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

The emerging generation of radio-interferometric (RI) arrays are set to form images of the sky with a new regime of sensitivity and resolution. This implies a significant increase in visibility data volumes, which for single-frequency…

Instrumentation and Methods for Astrophysics · Physics 2025-12-04 Olivier Leblanc , Chung San Chu , Laurent Jacques , Yves Wiaux

Reliable and energy-efficient wireless data transmission remains a major challenge in resource-constrained wireless neural recording tasks, where data compression is generally adopted to relax the burdens on the wireless data link.…

Information Theory · Computer Science 2016-02-02 Biao Sun , Wenfeng Zhao , Xinshan Zhu

Embedding physical knowledge into neural network (NN) training has been a hot topic. However, when facing the complex real-world, most of the existing methods still strongly rely on the quantity and quality of observation data. Furthermore,…

Fluid Dynamics · Physics 2024-11-20 Dashan Zhang , Yuntian Chen , Shiyi Chen

Deep learning on an edge device requires energy efficient operation due to ever diminishing power budget. Intentional low quality data during the data acquisition for longer battery life, and natural noise from the low cost sensor degrade…

Machine Learning · Computer Science 2019-04-30 Taesik Na , Minah Lee , Burhan A. Mudassar , Priyabrata Saha , Jong Hwan Ko , Saibal Mukhopadhyay

The data-centric machine learning aims to find effective ways to build appropriate datasets which can improve the performance of AI models. In this paper, we mainly focus on designing an efficient data-centric scheme to improve robustness…

Machine Learning · Computer Science 2022-03-09 Xiaogeng Liu , Haoyu Wang , Yechao Zhang , Fangzhou Wu , Shengshan Hu

We present a data compression and dimensionality reduction scheme for data fusion and aggregation applications to prevent data congestion and reduce energy consumption at network connecting points such as cluster heads and gateways. Our…

Networking and Internet Architecture · Computer Science 2014-08-14 Mohammad Abu Alsheikh , Puay Kai Poh , Shaowei Lin , Hwee-Pink Tan , Dusit Niyato

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 2009-11-25 Sina Jafarpour , Rebecca Willett , Maxim Raginsky , Robert Calderbank