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In this paper, we develop a general theory for the estimation of the transition probabilities of reversible Markov chains using the maximum entropy principle. A broad range of physical models can be studied within this approach. We use…

统计力学 · 物理学 2015-05-14 Erik Van der Straeten

Fitting network models to neural activity is an important tool in neuroscience. A popular approach is to model a brain area with a probabilistic recurrent spiking network whose parameters maximize the likelihood of the recorded activity.…

机器学习 · 统计学 2021-11-16 Guillaume Bellec , Shuqi Wang , Alireza Modirshanechi , Johanni Brea , Wulfram Gerstner

Learning synaptic weights of spiking neural network (SNN) models that can reproduce target spike trains from provided neural firing data is a central problem in computational neuroscience and spike-based computing. The discovery of the…

神经与进化计算 · 计算机科学 2019-10-10 Bryce Bagley , Blake Bordelon , Benjamin Moseley , Ralf Wessel

Information about external world is delivered to the brain in the form of structured in time spike trains. During further processing in higher areas, information is subjected to a certain condensation process, which results in formation of…

神经元与认知 · 定量生物学 2015-03-17 Alexander K. Vidybida

Neurons in the central nervous system communicate with each other with the help of series of Action Potentials, or spike trains. Various studies have shown that neurons encode information in different features of spike trains, such as the…

神经元与认知 · 定量生物学 2014-10-21 Shubhanshu Shekhar , Kaushik Majumdar

Spike generation in neurons produces a temporal point process, whose statistics is governed by intrinsic phenomena and the external incoming inputs to be coded. In particular, spike-evoked adaptation currents support a slow temporal process…

神经元与认知 · 定量生物学 2016-10-31 Eugenio Urdapilleta

This paper proposes a two-step spike encoding scheme, which consists of the source encoding and the process encoding for a high energy-efficient spiking-neural-network (SNN) acceleration. The eigen-train generation and its superposition…

硬件体系结构 · 计算机科学 2022-02-09 Sangyeob Kim , Sangjin Kim , Soyeon Um , Soyeon Kim , Hoi-Jun Yoo

This study explores how the selection of neuron models and learning rules impacts the classification performance of Spiking Neural Networks (SNNs), with a focus on applications in bio-signal processing. We compare biologically inspired…

神经元与认知 · 定量生物学 2025-09-10 Zofia Rudnicka , Janusz Szczepanski , Agnieszka Pregowska

Environmental signals sensed by nervous systems are often represented in spike trains carried from sensory neurons to higher neural functions where decisions and functional actions occur. Information about the environmental stimulus is…

生物物理 · 物理学 2007-05-23 Henry D. I. Abarbanel , Evren C. Tumer

An algorithmic limit of compressed sensing or related variable-selection problems is analytically evaluated when a design matrix is given by an overcomplete random matrix. The replica method from statistical mechanics is employed to derive…

无序系统与神经网络 · 物理学 2018-11-14 Tomoyuki Obuchi , Yoshinori Nakanishi-Ohno , Masato Okada , Yoshiyuki Kabashima

We use maximal entropy random walk (MERW) to study the trapping problem in dendrimers modeled by Cayley trees with a deep trap fixed at the central node. We derive an explicit expression for the mean first passage time from any node to the…

统计力学 · 物理学 2014-06-19 Xin Peng , Zhongzhi Zhang

Here we present our Python toolbox "MR. Estimator" to reliably estimate the intrinsic timescale from electrophysiologal recordings of heavily subsampled systems. Originally intended for the analysis of time series from neuronal spiking…

神经元与认知 · 定量生物学 2021-05-11 F. P. Spitzner , J. Dehning , J. Wilting , A. Hagemann , J. P. Neto , J. Zierenberg , V. Priesemann

This paper aims to overcome a major obstacle in scaling RL for reasoning with LLMs, namely the collapse of policy entropy. Such phenomenon is consistently observed across vast RL runs without entropy intervention, where the policy entropy…

Spiking neural networks (SNNs) are the third generation of neural networks and can explore both rate and temporal coding for energy-efficient event-driven computation. However, the decision accuracy of existing SNN designs is contingent…

神经与进化计算 · 计算机科学 2020-02-25 Changqing Xu , Wenrui Zhang , Yu Liu , Peng Li

Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

统计方法学 · 统计学 2020-12-10 Xiwei Tang , Lexin Li

Decoding strategies play a central role in shaping the reasoning ability of large language models (LLMs). Traditional methods such as greedy decoding and beam search often suffer from error propagation, while sampling-based approaches…

We study the sample complexity of entropic optimal transport in high dimensions using computationally efficient plug-in estimators. We significantly advance the state of the art by establishing dimension-free, parametric rates for…

统计理论 · 数学 2022-06-28 Philippe Rigollet , Austin J. Stromme

Large reasoning models have demonstrated remarkable performance on complex reasoning tasks, yet the excessive length of their chain-of-thought outputs remains a major practical bottleneck due to high computation cost and poor deployability.…

计算与语言 · 计算机科学 2025-11-25 Hourun Zhu , Yang Gao , Wenlong Fei , Jiawei Li , Huashan Sun

We present an application of autoregressive neural networks to Monte Carlo simulations of quantum spin chains using the correspondence with classical two-dimensional spin systems. We use a hierarchy of neural networks capable of estimating…

量子物理 · 物理学 2026-05-19 Piotr Białas , Piotr Korcyl , Tomasz Stebel , Dawid Zapolski

We propose a solution to the weight transport problem, which questions the biological plausibility of the backpropagation algorithm. We derive our method based upon a theoretical analysis of the (approximate) dynamics of leaky…

神经元与认知 · 定量生物学 2021-08-12 Nasir Ahmad , Luca Ambrogioni , Marcel A. J. van Gerven