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We discuss the effects of common synaptic inputs in a recurrent neural network. Because of the effects of these common synaptic inputs, the correlation between neural inputs cannot be ignored, and thus the network exhibits sample…

无序系统与神经网络 · 物理学 2009-09-29 Masaki Kawamura , Michiko Yamana , Masato Okada

Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. Discerning the presence…

应用统计 · 统计学 2019-03-21 Pietro Verzelli , Laura Sacerdote

Correlations in spike-train ensembles can seriously impair the encoding of information by their spatio-temporal structure. An inevitable source of correlation in finite neural networks is common presynaptic input to pairs of neurons. Recent…

神经元与认知 · 定量生物学 2015-06-04 Tom Tetzlaff , Moritz Helias , Gaute T. Einevoll , Markus Diesmann

Network structures play important roles in social, technological and biological systems. However, the observable nodes and connections in real cases are often incomplete or unavailable due to measurement errors, private protection issues,…

社会与信息网络 · 计算机科学 2024-06-19 Mengyuan Chen , Yan Zhang , Zhang Zhang , Lun Du , Jiang Zhang

Plasticity is one of the most important properties of the nervous system, which enables animals to adjust their behavior to the ever-changing external environment. Changes in synaptic efficacy between neurons constitute one of the major…

神经元与认知 · 定量生物学 2018-01-23 Taishi Iwasaki , Hideitsu Hino , Masami Tatsuno , Shotaro Akaho , Noboru Murata

Network inference approaches are now widely used in biological applications to probe regulatory relationships between molecular components such as genes or proteins. Many methods have been proposed for this setting, but the connections and…

应用统计 · 统计学 2014-06-03 Chris. J. Oates , Sach Mukherjee

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

机器学习 · 统计学 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Various brain functions that are necessary to maintain life activities materialize through the interaction of countless neurons. Therefore, it is important to analyze functional neuronal network. To elucidate the mechanism of brain…

神经元与认知 · 定量生物学 2023-06-29 Shun Kimura , Koujin Takeda

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

神经与进化计算 · 计算机科学 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

Correlations in sensory neural networks have both extrinsic and intrinsic origins. Extrinsic or stimulus correlations arise from shared inputs to the network, and thus depend strongly on the stimulus ensemble. Intrinsic or noise…

神经元与认知 · 定量生物学 2018-11-05 Ulisse Ferrari , Stephane Deny , Matthew Chalk , Gasper Tkacik , Olivier Marre , Thierry Mora

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

The vast majority of network datasets contains errors and omissions, although this is rarely incorporated in traditional network analysis. Recently, an increasing effort has been made to fill this methodological gap by developing network…

社会与信息网络 · 计算机科学 2018-10-19 Tiago P. Peixoto

The binding neuron model is inspired by numerical simulation of Hodgkin-Huxley-type point neuron, as well as by the leaky integrate-and-fire model. In the binding neuron, the trace of an input is remembered for a fixed period of time after…

神经元与认知 · 定量生物学 2011-07-20 Alexander K. Vidybida

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

机器学习 · 统计学 2022-12-21 Madeline Navarro , Santiago Segarra

Now that spike trains from many neurons can be recorded simultaneously, there is a need for methods to decode these data to learn about the networks that these neurons are part of. One approach to this problem is to adjust the parameters of…

定量方法 · 定量生物学 2011-06-10 John Hertz , Yasser Roudi , Joanna Tyrcha

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

统计计算 · 统计学 2017-01-17 Jack Davis , Steven K. Thompson

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

无序系统与神经网络 · 物理学 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

Estimating the effects of interventions in networks is complicated when the units are interacting, such that the outcomes for one unit may depend on the treatment assignment and behavior of many or all other units (i.e., there is…

统计方法学 · 统计学 2014-08-15 Dean Eckles , Brian Karrer , Johan Ugander

Recent advancements in measurement techniques have resulted in an increasing amount of data on neural activities recorded in parallel, revealing largely heterogeneous correlation patterns across neurons. Yet, the mechanistic origin of this…

无序系统与神经网络 · 物理学 2024-04-26 Moritz Layer , Moritz Helias , David Dahmen

Neurons in the primary visual cortex are more or less selective for the orientation of a light bar used for stimulation. A broad distribution of individual grades of orientation selectivity has in fact been reported in all species. A…

神经元与认知 · 定量生物学 2015-06-19 Sadra Sadeh , Stefan Rotter