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Probabilistic Graphical Models are often used to understand dynamics of a system. They can model relationships between features (nodes) and the underlying distribution. Theoretically these models can represent very complex dependency…

Machine Learning · Computer Science 2023-08-21 Harsh Shrivastava , Urszula Chajewska

Functional connectome extends the anatomical connectome by capturing the relations between neurons according to their activity and interactions. When these relations are causal, the functional connectome maps how neural activity flows…

Neurons and Cognition · Quantitative Biology 2020-11-10 Rahul Biswas , Eli Shlizerman

Representation of brain network interactions is fundamental to the translation of neural structure to brain function. As such, methodologies for mapping neural interactions into structural models, i.e., inference of functional connectome…

Neurons and Cognition · Quantitative Biology 2022-03-18 Rahul Biswas , Eli Shlizerman

Graphs are a powerful data structure for representing relational data and are widely used to describe complex real-world systems. Probabilistic Graphical Models (PGMs) and Graph Neural Networks (GNNs) can both leverage graph-structured…

Machine Learning · Statistics 2025-08-26 Michela Lapenna , Caterina De Bacco

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Neurons and Cognition · Quantitative Biology 2020-10-15 Simon Wein , Wilhelm Malloni , Ana Maria Tomé , Sebastian M. Frank , Gina-Isabelle Henze , Stefan Wüst , Mark W. Greenlee , Elmar W. Lang

The human brain is a complex system, and understanding its mechanisms has been a long-standing challenge in neuroscience. The study of the functional connectome, which maps the functional connections between different brain regions, has…

Neural and Evolutionary Computing · Computer Science 2025-04-14 Tananun Songdechakraiwut , Yutong Wu

The representation of the flow of information between neurons in the brain based on their activity is termed the causal functional connectome. Such representation incorporates the dynamic nature of neuronal activity and causal interactions…

Neurons and Cognition · Quantitative Biology 2022-11-16 Rahul Biswas , Eli Shlizerman

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

Exponential random graph models (ERGMs), also known as p* models, have been utilized extensively in the social science literature to study complex networks and how their global structure depends on underlying structural components. However,…

Applications · Statistics 2015-05-19 Sean L. Simpson , Satoru Hayasaka , Paul J. Laurienti

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao

We exploit flow propagation on the directed neuronal network of the nematode Caenorhabditis elegans to reveal dynamically relevant features of its connectome. We find flow-based groupings of neurons at different levels of granularity, which…

Neurons and Cognition · Quantitative Biology 2016-08-09 Karol A. Bacik , Michael T. Schaub , Mariano Beguerisse-Díaz , Yazan N. Billeh , Mauricio Barahona

The static synaptic connectivity of neuronal circuits stands in direct contrast to the dynamics of their function. As in changing community interactions, different neurons can participate actively in various combinations to effect behaviors…

Neurons and Cognition · Quantitative Biology 2024-02-29 Luciano Dyballa , Samuel Lang , Alexandra Haslund-Gourley , Eviatar Yemini , Steven W. Zucker

Probabilistic graphical models (PGMs) provide a compact and flexible framework to model very complex real-life phenomena. They combine the probability theory which deals with uncertainty and logical structure represented by a graph which…

Machine Learning · Statistics 2023-02-01 Maryia Shpak

The study of dynamic functional connectomes has provided valuable insights into how patterns of brain activity change over time. Neural networks process information through artificial neurons, conceptually inspired by patterns of activation…

Neurons and Cognition · Quantitative Biology 2025-08-12 Yutong Wu , Peilin He , Tananun Songdechakraiwut

Functional Connectivity (FC) matrices measure the regional interactions in the brain and have been widely used in neurological brain disease classification. However, a FC matrix is neither a natural image which contains shape and texture…

Medical Physics · Physics 2020-01-10 Xiaodan Xing , Qingfeng Li , Hao Wei , Minqing Zhang , Yiqiang Zhan , Xiang Sean Zhou , Zhong Xue , Feng Shi

We develop a biophysical model of neuro-sensory integration in the model organism Caenorhabditis elegans. Building on recent experimental findings of the neuron conductances and their resolved connectome, we posit the first full dynamic…

Neurons and Cognition · Quantitative Biology 2015-06-17 James Kunert , Eli Shlizerman , J. Nathan Kutz

Graphs are a powerful data structure to represent relational data and are widely used to describe complex real-world data structures. Probabilistic Graphical Models (PGMs) have been well-developed in the past years to mathematically model…

Artificial Intelligence · Computer Science 2023-01-31 Chenqing Hua , Sitao Luan , Qian Zhang , Jie Fu

Multivariate dynamical processes can often be intuitively described by a weighted connectivity graph between components representing each individual time-series. Even a simple representation of this graph as a Pearson correlation matrix may…

Machine Learning · Computer Science 2022-02-15 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Researchers continue exploring neurons' intricate patterns of activity in the cerebral visual cortex in response to visual stimuli. The way neurons communicate and optimize their interactions with each other under different experimental…

Neurons and Cognition · Quantitative Biology 2024-02-09 Lauren Miako Beede , Giuseppe Vinci

Graph deep learning models, a class of AI-driven approaches employing a message aggregation mechanism, have gained popularity for analyzing the functional brain connectome in neuroimaging. However, their actual effectiveness remains…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Keqi Han , Yao Su , Lifang He , Liang Zhan , Sergey Plis , Vince Calhoun , Carl Yang
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