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Scalar variables, e.g., the orientation of a shape in an image, are commonly predicted using a single output neuron in a neural network. In contrast, the mammalian cortex represents variables with a population of neurons. In this population…

Machine Learning · Computer Science 2024-11-14 Heiko Hoffmann

Neural codes serve as a language for neurons in the brain. Convex codes, which arise from the pattern of intersections of convex sets in Euclidean space, are of particular relevance to neuroscience. Not every code is convex, however, and…

Combinatorics · Mathematics 2017-05-31 Joshua Cruz , Chad Giusti , Vladimir Itskov , Bill Kronholm

Neural codes allow the brain to represent, process, and store information about the world. Combinatorial codes, comprised of binary patterns of neural activity, encode information via the collective behavior of populations of neurons. A…

Neurons and Cognition · Quantitative Biology 2016-12-22 Carina Curto , Elizabeth Gross , Jack Jeffries , Katherine Morrison , Mohamed Omar , Zvi Rosen , Anne Shiu , Nora Youngs

The informational synthesis of neural structures, processes, parameters and characteristics that allow a unified description and modeling as neural machines of natural and artificial neural systems is presented. The general informational…

Neural and Evolutionary Computing · Computer Science 2024-04-08 Iosif Iulian Petrila

A basic question within the emerging field of mechanistic interpretability is the degree to which neural networks learn the same underlying mechanisms. In other words, are neural mechanisms universal across different models? In this work,…

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn

Code-Switching, a common phenomenon in written text and conversation, has been studied over decades by the natural language processing (NLP) research community. Initially, code-switching is intensively explored by leveraging linguistic…

Computation and Language · Computer Science 2023-05-26 Genta Indra Winata , Alham Fikri Aji , Zheng-Xin Yong , Thamar Solorio

This study is focused on the development of the cortex-like visual object recognition system. We propose a general framework, which consists of three hierarchical levels (modules). These modules functionally correspond to the V1, V4 and IT…

Computer Vision and Pattern Recognition · Computer Science 2011-02-15 Sergey S. Tarasenko

We suggest a new perspective of research towards understanding the relations between structure and dynamics of a complex network: Can we design a network, e.g. by modifying the features of units or interactions, such that it exhibits a…

Neurons and Cognition · Quantitative Biology 2009-11-13 Raoul-Martin Memmesheimer , Marc Timme

Neurons can code for multiple variables simultaneously and neuroscientists are often interested in classifying neurons based on their receptive field properties. Statistical models provide powerful tools for determining the factors…

Neurons and Cognition · Quantitative Biology 2022-10-28 Mehrad Sarmashghi , Shantanu P. Jadhav , Uri T. Eden

Synchronization of finite spike sequences is the way two brain regions compare their content and extract the most suitable sequence. This is the core of the linguistic comparison between a word and a previous one retrieved by memory.…

Neurons and Cognition · Quantitative Biology 2018-07-10 F. T. Arecchi

Recently, brain-inspired spiking neural networks (SNNs) have demonstrated promising capabilities in solving pattern recognition tasks. However, these SNNs are grounded on homogeneous neurons that utilize a uniform neural coding for…

Neural and Evolutionary Computing · Computer Science 2024-01-05 Xinyi Chen , Qu Yang , Jibin Wu , Haizhou Li , Kay Chen Tan

Neural codes appear efficient. Naturally, neuroscientists contend that an efficient process is responsible for generating efficient codes. They argue that natural selection is the efficient process that generates those codes. Although…

Neurons and Cognition · Quantitative Biology 2022-03-21 Han Kim

Spike bursting is a ubiquitous feature of all neuronal systems. Assuming the spiking states form an alphabet for a communication system, what is the optimal information processing rate? and what is the channel capacity? Here we demonstrate…

Neurons and Cognition · Quantitative Biology 2023-11-16 Bo Deng

The extraordinary computational power of the brain may be related in part to the fact that each of the smaller neural networks that compose it can behave transiently in many different ways, depending on its inputs. Mathematically, input…

Neurons and Cognition · Quantitative Biology 2008-03-29 Léonard Gérard , Jean-Jacques Slotine

We study a system of interacting renewal processes which is a model for neuronal activity. We show that the system possesses an exponentially large number (with respect to the number of neurons in the network) of limiting configurations of…

Probability · Mathematics 2007-05-23 Marie Cottrell , Tatiana Turova

A central issue in neural recording is that of distinguishing the activities of many neurons. Here, we develop a framework, based on Fisher information, to quantify how separable a neuron's activity is from the activities of nearby neurons.…

Understanding neural networks is challenging in part because of the dense, continuous nature of their hidden states. We explore whether we can train neural networks to have hidden states that are sparse, discrete, and more interpretable by…

Machine Learning · Computer Science 2023-10-27 Alex Tamkin , Mohammad Taufeeque , Noah D. Goodman

Neurons encode and transmit information in spike sequences. However, despite the effort devoted to quantify their information content, little progress has been made in this regard. Here we use a nonlinear method of time-series analysis…

Neurons and Cognition · Quantitative Biology 2020-02-19 Cristian Estarellas , Maria Masoliver , Cristina Masoller , Claudio Mirasso