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Sequences of neuronal activation have long been implicated in a variety of brain functions. In particular, these sequences have been tied to memory formation and spatial navigation in the hippocampus, a region of mammalian brains.…

Neurons and Cognition · Quantitative Biology 2016-03-10 Zachary Roth

This paper examines the memory capacity of generalized neural networks. Hopfield networks trained with a variety of learning techniques are investigated for their capacity both for binary and non-binary alphabets. It is shown that the…

Neural and Evolutionary Computing · Computer Science 2013-07-31 Matt Stowe , Subhash Kak

Neural networks are universal function approximators which are known to generalize well despite being dramatically overparameterized. We study this phenomenon from the point of view of the spectral bias of neural networks. Our contributions…

Machine Learning · Computer Science 2022-09-07 Qingguo Hong , Jonathan W. Siegel , Qinyang Tan , Jinchao Xu

The problem of neural coding is to understand how sequences of action potentials (spikes) are related to sensory stimuli, motor outputs, or (ultimately) thoughts and intentions. One clear question is whether the same coding rules are used…

Animals (especially humans) have an amazing ability to learn new tasks quickly, and switch between them flexibly. How brains support this ability is largely unknown, both neuroscientifically and algorithmically. One reasonable supposition…

Machine Learning · Computer Science 2017-06-23 Kevin T. Feigelis , Daniel L. K. Yamins

Do different neural networks, trained for various vision tasks, share some common representations? In this paper, we demonstrate the existence of common features we call "Rosetta Neurons" across a range of models with different…

Computer Vision and Pattern Recognition · Computer Science 2023-06-19 Amil Dravid , Yossi Gandelsman , Alexei A. Efros , Assaf Shocher

Interpretability provides a toolset for understanding how and why neural networks behave in certain ways. However, there is little unity in the field: most studies employ ad-hoc evaluations and do not share theoretical foundations, making…

Self-Organized Operational Neural Networks (Self-ONNs) have recently been proposed as new-generation neural network models with nonlinear learning units, i.e., the generative neurons that yield an elegant level of diversity; however, like…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Serkan Kiranyaz , Junaid Malik , Mehmet Yamac , Mert Duman , Ilke Adalioglu , Esin Guldogan , Turker Ince , Moncef Gabbouj

An essential goal in mechanistic interpretability to decode a network, i.e., to convert a neural network's raw weights to an interpretable algorithm. Given the difficulty of the decoding problem, progress has been made to understand the…

Machine Learning · Computer Science 2023-12-07 Isaac Liao , Ziming Liu , Max Tegmark

Neural networks based on metric recognition methods have a strictly determined architecture. Number of neurons, connections, as well as weights and thresholds values are calculated analytically, based on the initial conditions of tasks:…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Polad Geidarov

This paper concerns the universality of the two-layer neural network with the $k$-rectified linear unit activation function with $k=1,2,\ldots$ with a suitable norm without any restriction on the shape of the domain. This type of result is…

Functional Analysis · Mathematics 2022-12-29 N. Hatano , M. Ikeda , I. Ishikawa , Y. Sawano

We construct a model that predicts the statistical properties of spike trains generated by a sensory neuron. The model describes the combined effects of the neuron's intrinsic properties, the noise in the surrounding, and the external…

Biological Physics · Physics 2009-10-31 N. Brenner , O. Agam , W. Bialek , R. de Ruyter van Steveninck

In complex systems, we often observe complex global behavior emerge from a collection of agents interacting with each other in their environment, with each individual agent acting only on locally available information, without knowing the…

Neural and Evolutionary Computing · Computer Science 2021-09-30 Yujin Tang , David Ha

Advances in Large Language Models (LLMs) have led to remarkable capabilities, yet their inner mechanisms remain largely unknown. To understand these models, we need to unravel the functions of individual neurons and their contribution to…

Machine Learning · Computer Science 2023-06-01 Alex Foote , Neel Nanda , Esben Kran , Ioannis Konstas , Shay Cohen , Fazl Barez

Accurate estimation of nuclear masses and their prediction beyond the experimentally explored domains of the nuclear landscape are crucial to an understanding of the fundamental origin of nuclear properties and to many applications of…

Nuclear Theory · Physics 2023-05-09 Babette Dellen , Uwe Jaekel , Paulo S. A. Freitas , John W. Clark

The linear independence of neurons plays a significant role in theoretical analysis of neural networks. Specifically, given neurons $H_1, ..., H_n: \bR^N \times \bR^d \to \bR$, we are interested in the following question: when are…

Machine Learning · Computer Science 2024-10-08 Leyang Zhang

Deep artificial neural networks have surpassed human-level performance across a diverse array of complex learning tasks, establishing themselves as indispensable tools in both social applications and scientific research. Despite these…

Disordered Systems and Neural Networks · Physics 2025-09-03 Chuanbo Liu , Jin Wang

It is largely believed that complex cognitive phenomena require the perfect orchestrated collaboration of many neurons. However, this is not what converging experimental evidence suggests. Single neurons, the so-called concept cells, may be…

Neurons and Cognition · Quantitative Biology 2019-12-05 Carlos Calvo Tapia , Ivan Tyukin , Valeri A. Makarov

We present a mechanistic analysis of literary style in GPT-2, identifying individual neurons that discriminate between exemplary prose and rigid AI-generated text. Using Herman Melville's Bartleby, the Scrivener as a corpus, we extract…

Computation and Language · Computer Science 2025-10-22 Tsogt-Ochir Enkhbayar

Deep neural networks are becoming more and more popular due to their revolutionary success in diverse areas, such as computer vision, natural language processing, and speech recognition. However, the decision-making processes of these…

Computation and Language · Computer Science 2021-10-15 Oana-Maria Camburu