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There are two main approaches in compressed sensing: the geometric approach and the combinatorial approach. In this paper we introduce an information theoretic approach and use results from the theory of Huffman codes to construct a…

Information Theory · Computer Science 2009-06-26 Akram Aldroubi , Haichao Wang , Kourosh Zarringhalam

A variety of representation learning approaches have been investigated for reinforcement learning; much less attention, however, has been given to investigating the utility of sparse coding. Outside of reinforcement learning, sparse coding…

Artificial Intelligence · Computer Science 2017-07-27 Lei Le , Raksha Kumaraswamy , Martha White

Experimental studies support the notion of spike-based neuronal information processing in the brain, with neural circuits exhibiting a wide range of temporally-based coding strategies to rapidly and efficiently represent sensory stimuli.…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Brian Gardner , André Grüning

We propose a joint source-channel-network coding scheme, based on compressive sensing principles, for wireless networks with AWGN channels (that may include multiple access and broadcast), with sources exhibiting temporal and spatial…

Information Theory · Computer Science 2011-10-04 Soheil Feizi , Muriel Medard

This article introduces a novel communication scheme, termed coded compressed sensing, for unsourced multiple-access communication. The proposed divide-and-conquer approach leverages recent advances in compressed sensing and forward error…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of multidimensional signals, as the…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Simeon Kamden-Kuiteng , Andrea Abrardo , Mauro Barni , Enrico Magli

We propose Sparse Neural Network architectures that are based on random or structured bipartite graph topologies. Sparse architectures provide compression of the models learned and speed-ups of computations, they can also surpass their…

Machine Learning · Computer Science 2017-06-20 Alfred Bourely , John Patrick Boueri , Krzysztof Choromonski

Precortical neural systems encode information collected by the senses, but the driving principles of the encoding used have remained a subject of debate. We present a model of retinal coding that is based on three constraints: information…

Neurons and Cognition · Quantitative Biology 2016-04-08 Honghao Shan , Matthew H. Tong , Garrison W. Cottrell

Tabular datasets with low-sample-size or many variables are prevalent in biomedicine. Practitioners in this domain prefer linear or tree-based models over neural networks since the latter are harder to interpret and tend to overfit when…

Machine Learning · Computer Science 2022-02-09 Junchen Yang , Ofir Lindenbaum , Yuval Kluger

Modern compression algorithms exploit complex structures that are present in signals to describe them very efficiently. On the other hand, the field of compressed sensing is built upon the observation that "structured" signals can be…

Information Theory · Computer Science 2016-01-08 Farideh Ebrahim Rezagah , Shirin Jalali , Elza Erkip , H. Vincent Poor

This study presents a dynamic neural network model based on the predictive coding framework for perceiving and predicting the dynamic visuo-proprioceptive patterns. In our previous study [1], we have shown that the deep dynamic neural…

Artificial Intelligence · Computer Science 2017-06-09 Jungsik Hwang , Jinhyung Kim , Ahmadreza Ahmadi , Minkyu Choi , Jun Tani

Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

Neurons and Cognition · Quantitative Biology 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

High-energy, large-scale particle colliders in nuclear and high-energy physics generate data at extraordinary rates, reaching up to $1$ terabyte and several petabytes per second, respectively. The development of real-time, high-throughput…

Artificial Intelligence · Computer Science 2024-12-03 Xihaier Luo , Samuel Lurvey , Yi Huang , Yihui Ren , Jin Huang , Byung-Jun Yoon

The celebrated sparse representation model has led to remarkable results in various signal processing tasks in the last decade. However, despite its initial purpose of serving as a global prior for entire signals, it has been commonly used…

Information Theory · Computer Science 2017-10-11 Vardan Papyan , Jeremias Sulam , Michael Elad

The goal of model compression is to reduce the size of a large neural network while retaining a comparable performance. As a result, computation and memory costs in resource-limited applications may be significantly reduced by dropping…

Machine Learning · Statistics 2022-11-10 Wenjing Yang , Ganghua Wang , Jie Ding , Yuhong Yang

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

Compressed sensing of simultaneously sparse and low-rank matrices enables recovery of sparse signals from a few linear measurements of their bilinear form. One important question is how many measurements are needed for a stable…

Information Theory · Computer Science 2016-07-01 Kiryung Lee , Yihong Wu , Yoram Bresler

Sparse representation using over-complete dictionaries have shown to produce good quality results in various image processing tasks. Dictionary learning algorithms have made it possible to engineer data adaptive dictionaries which have…

Image and Video Processing · Electrical Eng. & Systems 2019-11-11 Nishant Deepak Keni , Amol Mangirish Singbal , Rizwan Ahmed

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

Deep compressed sensing assumes the data has sparse representation in a latent space, i.e., it is intrinsically of low-dimension. The original data is assumed to be mapped from a low-dimensional space through a low-to-high-dimensional…

Image and Video Processing · Electrical Eng. & Systems 2021-06-22 Ashkan Esmaeili