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Key features of biological activity can often be captured by transitions between a finite number of semi-stable states that correspond to behaviors or decisions. We present here a broad class of dynamical systems that are ideal for modeling…

Dynamical Systems · Mathematics 2022-12-14 Megan Morrison , Lai-Sang Young

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

Oscillatory synchrony is hypothesized to support the flow of information between brain regions, with different phase-locked configurations enabling activation of different effective interactions. Along these lines, past work has proposed…

Neurons and Cognition · Quantitative Biology 2022-08-26 Lia Papadopoulos , Demian Battaglia , Dani S. Bassett

Neuroscience is experiencing a data revolution in which many hundreds or thousands of neurons are recorded simultaneously. Currently, there is little consensus on how such data should be analyzed. Here we introduce LFADS (Latent Factor…

Machine Learning · Computer Science 2016-08-24 David Sussillo , Rafal Jozefowicz , L. F. Abbott , Chethan Pandarinath

Recent neuroimaging studies have highlighted the importance of network-centric brain analysis, particularly with functional magnetic resonance imaging. The emergence of Deep Neural Networks has fostered a substantial interest in predicting…

Neurons and Cognition · Quantitative Biology 2023-09-06 Xuan Kan , Antonio Aodong Chen Gu , Hejie Cui , Ying Guo , Carl Yang

We present a deep semi-nonnegative matrix factorization method for identifying subject-specific functional networks (FNs) at multiple spatial scales with a hierarchical organization from resting state fMRI data. Our method is built upon a…

Computer Vision and Pattern Recognition · Computer Science 2018-09-18 Hongming Li , Xiaofeng Zhu , Yong Fan

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

Disordered Systems and Neural Networks · Physics 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

Functional networks characterize the coordinated neural activity observed by functional neuroimaging. The prevalence of different networks during resting state periods provide useful features for predicting the trajectory of…

Signal Processing · Electrical Eng. & Systems 2021-11-16 Hassan Baker , Austin J. Brockmeier

It has been proposed that neural noise in the cortex arises from chaotic dynamics in the balanced state: in this model of cortical dynamics, the excitatory and inhibitory inputs to each neuron approximately cancel, and activity is driven by…

Disordered Systems and Neural Networks · Physics 2017-04-28 Nimrod Shaham , Yoram Burak

In many biochemical processes, proteins bound to DNA at distant sites are brought into close proximity by loops in the underlying DNA. For example, the function of some gene-regulatory proteins depends on such DNA looping interactions. We…

Quantitative Methods · Quantitative Biology 2009-11-13 John F Beausang , Philip C Nelson

Dynamic networks consist of a sequence of time-varying networks, and it is of great importance to detect the network change points. Most existing methods focus on detecting abrupt change points, necessitating the assumption that the…

Methodology · Statistics 2023-10-13 Yuzhao Zhang , Jingnan Zhang , Yifan Sun , Junhui Wang

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

Dynamical Systems · Mathematics 2017-02-07 Christian Bick , Michael Field

Dynamic community detection provides a coherent description of network clusters over time, allowing one to track the growth and death of communities as the network evolves. However, modularity maximization, a popular method for performing…

Physics and Society · Physics 2018-05-25 Michael Vaiana , Sarah F. Muldoon

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo

We consider the setting where a collection of time series, modeled as random processes, evolve in a causal manner, and one is interested in learning the graph governing the relationships of these processes. A special case of wide interest…

Machine Learning · Computer Science 2016-08-30 Hossein Hosseini , Sreeram Kannan , Baosen Zhang , Radha Poovendran

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

Methodology · Statistics 2013-11-15 Lucy F. Robinson , Carey E. Priebe

Markov switching models are a popular family of models that introduces time-variation in the parameters in the form of their state- or regime-specific values. Importantly, this time-variation is governed by a discrete-valued latent…

Econometrics · Economics 2023-11-13 Yong Song , Tomasz Woźniak

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

In neural circuits, statistical connectivity rules strongly depend on neuronal type. Here we study dynamics of neural networks with cell-type specific connectivity by extending the dynamic mean field method, and find that these networks…

Neurons and Cognition · Quantitative Biology 2015-02-24 Johnatan Aljadeff , Merav Stern , Tatyana O. Sharpee