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In coding and information theory, it is desirable to construct maximal codes that can be either variable length codes or error control codes of fixed length. However deciding code maximality boils down to deciding whether a given NFA is…

Formal Languages and Automata Theory · Computer Science 2022-04-13 Stavros Konstantinidis , Mitja Mastnak , Nelma Moreira , Rogério Reis

Brains and artificial neural networks compute with continuous variables such as object position or stimulus orientation. However, the complex variability in neural responses makes it difficult to link internal representational structure to…

Neurons and Cognition · Quantitative Biology 2026-03-12 Will Slatton , Chi-Ning Chou , SueYeon Chung

The traditional view of neural computation in the cerebral cortex holds that sensory neurons are specialized, i.e., selective for certain dimensions of sensory stimuli. This view was challenged by evidence of contextual interactions between…

Neurons and Cognition · Quantitative Biology 2022-04-26 Sergei Gepshtein , Ambarish Pawar , Sunwoo Kwon , Sergey Savel'ev , Thomas D. Albright

Maintaining the ability to fire sparsely is crucial for information encoding in neural networks. Additionally, spiking homeostasis is vital for spiking neural networks with changing numbers of weights and neurons. We discuss a range of…

Neural and Evolutionary Computing · Computer Science 2019-10-02 Katarzyna Kozdon , Peter Bentley

To study information processing in the brain, neuroscientists manipulate experimental stimuli while recording participant brain activity. They can then use encoding models to find out which brain "zone" (e.g. which region of interest,…

Neurons and Cognition · Quantitative Biology 2022-02-22 Mariya Toneva , Jennifer Williams , Anand Bollu , Christoph Dann , Leila Wehbe

We initiate the study of biological neural networks from the perspective of streaming algorithms. Like computers, human brains suffer from memory limitations which pose a significant obstacle when processing large scale and dynamically…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Yael Hitron , Cameron Musco , Merav Parter

Artificial Intelligence has looked into biological systems as a source of inspiration. Although there are many aspects of the brain yet to be discovered, neuroscience has found evidence that the connections between neurons continuously grow…

Neural and Evolutionary Computing · Computer Science 2020-10-29 Javier Lopez Randulfe , Leon Bonde Larsen

The collective dynamics of neural populations are often characterized in terms of correlations in the spike activity of different neurons. Open questions surround the basic nature of these correlations. In particular, what leads to…

Neurons and Cognition · Quantitative Biology 2013-06-25 David Leen , Eric Shea-Brown

Human perception and behavior are affected by the situational context, in particular during social interactions. A recent study demonstrated that humans perceive visual stimuli differently depending on whether they do the task by themselves…

Neurons and Cognition · Quantitative Biology 2022-10-12 Maria Tsfasman , Anja Philippsen , Carlo Mazzola , Serge Thill , Alessandra Sciutti , Yukie Nagai

We study the capacity with which a system of independent neuron-like units represents a given set of stimuli. We assume that each neuron provides a fixed amount of information, and that the information provided by different neurons has a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ines Samengo

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

Neural codes, represented as collections of binary strings, encode neural activity and show relationships among stimuli. Certain neurons, called place cells, have been shown experimentally to fire in convex regions in space. A natural…

Neurons and Cognition · Quantitative Biology 2019-09-20 Sarah Ayman Goldrup , Kaitlyn Phillipson

Neural activity fluctuates over a wide range of timescales within and across brain areas. Experimental observations suggest that diverse neural timescales reflect information in dynamic environments. However, how timescales are defined and…

Neurons and Cognition · Quantitative Biology 2026-01-21 Roxana Zeraati , Anna Levina , Jakob H. Macke , Richard Gao

Correlations are employed in modern physics to explain microscopic and macroscopic phenomena, like the fractional quantum Hall effect and the Mott insulator state in high temperature superconductors and ultracold atoms. Simultaneously…

Neurons and Cognition · Quantitative Biology 2013-02-20 Moritz Helias , Tom Tetzlaff , Markus Diesmann

Spike sorting refers to the problem of assigning action potentials observed in extra-cellular recordings of neural activity to the neuron(s) from which they originate. We cast this problem as one of learning a convolutional dictionary from…

Methodology · Statistics 2018-06-07 Andrew H. Song , Francisco Flores , Demba Ba

The success of deep learning in the past decade is partially shrouded in the shadow of adversarial attacks. In contrast, the brain is far more robust at complex cognitive tasks. Utilizing the advantage that neurons in the brain communicate…

Neurons and Cognition · Quantitative Biology 2023-06-12 Jianhao Ding , Zhaofei Yu , Tiejun Huang , Jian K. Liu

In this paper, we consider networks of deterministic spiking neurons, firing synchronously at discrete times; such spiking neural networks are inspired by networks of neurons and synapses that occur in brains. We consider the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-17 Nancy Lynch , Mien Brabeeba Wang

Finite-sized populations of spiking elements are fundamental to brain function, but also used in many areas of physics. Here we present a theory of the dynamics of finite-sized populations of spiking units, based on a quasi-renewal…

Neurons and Cognition · Quantitative Biology 2015-03-04 Moritz Deger , Tilo Schwalger , Richard Naud , Wulfram Gerstner

Human brain contains about 10 billion neurons, each of which has about 10~10,000 nerve endings from which neurotransmitters are released in response to incoming spikes, and the released neurotransmitters then bind to receptors located in…

Neurons and Cognition · Quantitative Biology 2012-03-06 Xuejuan Zhang , Jianfeng Feng

Generic simulation code for spiking neuronal networks spends the major part of time in the phase where spikes have arrived at a compute node and need to be delivered to their target neurons. These spikes were emitted over the last interval…

Neurons and Cognition · Quantitative Biology 2022-03-14 Jari Pronold , Jakob Jordan , Brian J. N. Wylie , Itaru Kitayama , Markus Diesmann , Susanne Kunkel