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An index coding problem arises when there is a single source with a number of messages and multiple receivers each wanting a subset of messages and knowing a different set of messages a priori. The noiseless Index Coding Problem is to…

Information Theory · Computer Science 2015-10-13 Kavitha R. , Niranjana Ambadi , B. Sundar Rajan

Sequences of events in noise-driven excitable systems with slow variables often show serial correlations among their intervals of events. Here, we employ a master equation for general non-renewal processes to calculate the interval and…

Biological Physics · Physics 2011-05-23 Farzad Farkhooi , Eilif Muller , Martin P. Nawrot

In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of…

Information Theory · Computer Science 2015-04-21 Kavitha. R , B. Sundar Rajan

We resolve the question of optimality for a well-studied packetized implementation of random linear network coding, called PNC. In PNC, in contrast to the classical memoryless setting, nodes store received information in memory to later…

Information Theory · Computer Science 2011-02-18 Bernhard Haeupler , MinJi Kim , Muriel Médard

Neural networks can be compressed to reduce memory and computational requirements, or to increase accuracy by facilitating the use of a larger base architecture. In this paper we focus on pruning individual neurons, which can simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2018-04-20 Bin Dai , Chen Zhu , David Wipf

Neural coding is a key problem in neuroscience, which can promote people's understanding of the mechanism that brain processes information. Among the classical theories of neural coding, the population rate coding has been studied widely in…

Neurons and Cognition · Quantitative Biology 2019-08-13 Hao Si , Xiaojuan Sun

In this paper, we investigate optimal coding strategies for a class of linear deterministic relay networks. The network under study is a relay network, with one source, one destination, and two relay nodes. Additionally, there is a…

Information Theory · Computer Science 2010-01-14 S. M. Hossein Tabatabaei Yazdi , Mohammad Reza Aref

We consider the design of a linear sensing system with a fixed energy budget assuming that the sampling noise is the dominant noise source. The energy constraint implies that the signal energy per measurement decreases linearly with the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Yang Lu , Wei Dai , Yonina C. Eldar

Neural networks encode information through their collective spiking activity in response to external stimuli. This population response is noisy and strongly correlated, with complex interplay between correlations induced by the stimulus,…

Neurons and Cognition · Quantitative Biology 2022-11-28 Gabriel Mahuas , Olivier Marre , Thierry Mora , Ulisse Ferrari

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

Neurons and Cognition · Quantitative Biology 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

Deep neural networks (DNNs) depend on the storage of a large number of parameters, which consumes an important portion of the energy used during inference. This paper considers the case where the energy usage of memory elements can be…

Machine Learning · Computer Science 2019-12-24 Sébastien Henwood , François Leduc-Primeau , Yvon Savaria

Although several measurements and analyses support the idea that the brain is energy-optimized, there is one disturbing, contradictory observation: In theory, computation limited by thermal noise can occur as cheaply as ~$2.9\cdot 10^{-21}$…

Neurons and Cognition · Quantitative Biology 2014-11-24 William B. Levy , Toby Berger , Ilya A. Fleidervish

Why do neurons encode information the way they do? Normative answers to this question model neural activity as the solution to an optimisation problem; for example, the celebrated efficient coding hypothesis frames neural activity as the…

Neurons and Cognition · Quantitative Biology 2026-03-06 William Dorrell , Peter E. Latham , James Whittington

This paper presents a stochastic geometry model for the investigation of fundamental information theoretic limitations in wireless networks. We derive a new unified multi-parameter cut-set bound on the capacity of networks of arbitrary…

Information Theory · Computer Science 2013-05-02 Georgios Rodolakis

Network of neurons in the brain apply - unlike processors in our current generation of computer hardware - an event-based processing strategy, where short pulses (spikes) are emitted sparsely by neurons to signal the occurrence of an event…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Zeno Jonke , Stefan Habenschuss , Wolfgang Maass

Darwinian evolution tends to produce energy-efficient outcomes. On the other hand, energy limits computation, be it neural and probabilistic or digital and logical. Taking a particular energy-efficient viewpoint, we define neural…

Neurons and Cognition · Quantitative Biology 2021-04-05 William B Levy , Victoria G. Calvert

We demonstrate how a genetic algorithm solves the problem of minimizing the resources used for network coding, subject to a throughput constraint, in a multicast scenario. A genetic algorithm avoids the computational complexity that makes…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Minkyu Kim , Varun Aggarwal , Una-May O'Reilly , Muriel Medard , Wonsik Kim

We investigate the use of network coding for information dissemination over a wireless network. Using network coding allows for a simple, distributed and robust algorithm where nodes do not need any information from their neighbors. In this…

Information Theory · Computer Science 2016-11-18 Mohammad Hamed Firooz , Sumit Roy

Changes in a cell's external or internal conditions are usually reflected in the concentrations of the relevant transcription factors. These proteins in turn modulate the expression levels of the genes under their control and sometimes need…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , Curtis G Callan , William Bialek

Spiking Neural Networks are a type of neural networks where neurons communicate using only spikes. They are often presented as a low-power alternative to classical neural networks, but few works have proven these claims to be true. In this…

Hardware Architecture · Computer Science 2023-04-17 Edgar Lemaire , Loic Cordone , Andrea Castagnetti , Pierre-Emmanuel Novac , Jonathan Courtois , Benoit Miramond
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