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Almost all statistical and machine learning methods in analyzing brain networks rely on distances and loss functions, which are mostly Euclidean or matrix norms. The Euclidean or matrix distances may fail to capture underlying subtle…

Computational Geometry · Computer Science 2021-02-18 Moo K. Chung , Alexander Smith , Gary Shiu

Understanding emotional processing in the human brain requires examining the complex interactions between different brain regions. While previous studies have identified specific regions involved in emotion processing, a holistic network…

Neurons and Cognition · Quantitative Biology 2024-12-13 Sepehr Gourabi , Parinaz Khosravani , Shahrzad Nosrat , Roya Mohammadi , Masoud Lotfalipour

We offer a general theoretical framework for brain and behavior that is evolutionarily and computationally plausible. The brain in our abstract model is a network of nodes and edges. Although it has some similarities to standard neural…

Artificial Intelligence · Computer Science 2022-04-12 Joseph Y. Halpern , Arnon Lotem

Redundancy needs more precise characterization as it is a major factor in the evolution and robustness of networks of multivariate interactions. We investigate the complexity of such interactions by inferring a connection transitivity that…

Social and Information Networks · Computer Science 2021-10-25 Tiago Simas , Rion Brattig Correia , Luis M. Rocha

During development, the mammalian brain differentiates into specialized regions with distinct functional abilities. While many factors contribute to functional specialization, we explore the effect of neuronal density on the development of…

Neurons and Cognition · Quantitative Biology 2010-04-14 Michael I. Ham , Vadas Gintautas , Marko A. Rodriguez , Ryan A. Bennett , Cara L. Santa Maria , Luis M. A. Bettencourt

Activity in the human brain moves between diverse functional states to meet the demands of our dynamic environment, but fundamental principles guiding these transitions remain poorly understood. Here, we capitalize on recent advances in…

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

In this paper we consider the dyadic effect introduced in complex networks when nodes are distinguished by a binary characteristic. Under these circumstances two independent parameters, namely dyadicity and heterophilicity, are able to…

Combinatorics · Mathematics 2019-04-12 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

Analyzing the behavior of complex interdependent networks requires complete information about the network topology and the interdependent links across networks. For many applications such as critical infrastructure systems, understanding…

Machine Learning · Computer Science 2022-11-29 Yu Wang , Jin-Zhu Yu , Hiba Baroud

We propose an entropy measure for the analysis of chaotic attractors through recurrence networks which are un-weighted and un-directed complex networks constructed from time series of dynamical systems using specific criteria. We show that…

Physics and Society · Physics 2019-10-02 K. P. Harikrishnan , R. Misra , G. Ambika

Brain areas' functional repertoires are shaped by their incoming and outgoing structural connections. In empirically measured networks, most connections are short, reflecting spatial and energetic constraints. Nonetheless, a small number of…

Neurons and Cognition · Quantitative Biology 2022-06-08 Richard F. Betzel , Danielle S. Bassett

State-space models (SSMs) have become a cornerstone for unraveling brain dynamics, revealing how latent neural states evolve over time and give rise to observed signals. By combining the flexibility of deep learning with the principled…

Machine Learning · Computer Science 2026-02-03 Tingting Dan , Jiaqi Ding , Guorong Wu

Diffusion MRI imaging and tractography algorithms have enabled the mapping of the macro-scale connectome of the entire brain. At the functional level, probably the simplest way to study the dynamics of macro-scale brain activity is to…

Neurons and Cognition · Quantitative Biology 2022-07-19 Qihang Yao , Manoj Chandrasekaran , Constantine Dovrolis

The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causal mutual information, employed with an appropriate…

Neurons and Cognition · Quantitative Biology 2018-02-14 F. S. Borges , E. L. Lameu , K. C. Iarosz , P. R. Protachevicz , I. L. Caldas , R. L. Viana , E. E. N. Macau , A. M. Batista , M. S. Baptista

In the study of neurons, morphology influences function. The complexity in the structure of neurons poses a challenge in the identification and analysis of similar and dissimilar neuronal cells. Existing methodologies carry out structural…

Image and Video Processing · Electrical Eng. & Systems 2018-02-21 Tamal Batabyal , Scott T. Acton

Real-world complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in…

Adaptation and Self-Organizing Systems · Physics 2019-07-05 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

Data-driven graph learning models a network by determining the strength of connections between its nodes. The data refers to a graph signal which associates a value with each graph node. Existing graph learning methods either use simplified…

Machine Learning · Computer Science 2020-11-05 Nafiseh Ghoroghchian , David M. Groppe , Roman Genov , Taufik A. Valiante , Stark C. Draper

Purpose of our work is to obtain a basic understanding and comparison of the performance and structure of real Knowledge Networks, to identify strengths and weaknesses and to highlight guidelines for improvements. We selected 18 Knowledge…

Social and Information Networks · Computer Science 2014-12-30 Stavroglou Stavros , Antoniou Ioannis

The segregated regions of the mammalian cerebral cortex and thalamus form an extensive and complex network, whose structure and function are still only incompletely understood. The present article describes an application of the concepts of…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa , Olaf Sporns