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Dynamic networks have been increasingly used to characterize brain connectivity that varies during resting and task states. In such characterizations, a connectivity network is typically measured at each time point for a subject over a…

Methodology · Statistics 2023-03-23 Maoyu Zhang , Biao Cai , Wenlin Dai , Dehan Kong , Hongyu Zhao , Jingfei Zhang

The LASSO is a recent technique for variable selection in the regression model \bean y & = & X\beta + z, \eean where $X\in \R^{n\times p}$ and $z$ is a centered gaussian i.i.d. noise vector $\mathcal N(0,\sigma^2I)$. The LASSO has been…

Statistics Theory · Mathematics 2023-12-21 Mohamed Ibrahim Assoweh , Emmanuel Caron , Stéphane Chrétien

Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

Link prediction is a fundamental problem of data science, which usually calls for unfolding the mechanisms that govern the micro-dynamics of networks. In this regard, using features obtained from network embedding for predicting links has…

Social and Information Networks · Computer Science 2021-11-16 Chuanting Zhang , Ke-ke Shang , Jingping Qiao

While the vast majority of the literature on models for temporal networks focuses on binary graphs, often one can associate a weight to each link. In such cases the data are better described by a weighted, or valued, network. An important…

Applications · Statistics 2022-03-02 Domenico Di Gangi , Giacomo Bormetti , Fabrizio Lillo

Individual differences in human intelligence can be modeled and predicted from in vivo neurobiological connectivity. Many established modeling frameworks for predicting intelligence, however, discard higher-order information about…

Neurons and Cognition · Quantitative Biology 2022-03-07 Evan D. Anderson , Ramsey Wilcox , Anuj Nayak , Christopher Zwilling , Pablo Robles-Granda , Been Kim , Lav R. Varshney , Aron K. Barbey

Traditional multi-task learning (MTL) methods use dense networks that use the same set of shared weights across several different tasks. This often creates interference where two or more tasks compete to pull model parameters in different…

As models of cognition grow in complexity and number of parameters, Bayesian inference with standard methods can become intractable, especially when the data-generating model is of unknown analytic form. Recent advances in simulation-based…

Machine Learning · Statistics 2020-07-14 Stefan T. Radev , Andreas Voss , Eva Marie Wieschen , Paul-Christian Bürkner

Inferring a binary connectivity graph from resting-state fMRI data for a single subject requires making several methodological choices and assumptions that can significantly affect the results. In this study, we investigate the robustness…

Methodology · Statistics 2025-03-20 Alice Chevaux , Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

We study possible relations between the structure of the connectome, white matter connecting different regions of brain, and Alzheimer disease. Regression models in covariates including age, gender and disease status for the extent of white…

Methodology · Statistics 2021-04-22 Arkaprava Roy , Subhashis Ghosal , Jeffrey Prescott , Kingshuk Roy Choudhury

We consider monotonic, multiple regression for a set of contiguous regions (lattice data). The regression functions permissibly vary between regions and exhibit geographical structure. We develop new Bayesian non-parametric methodology…

Methodology · Statistics 2019-04-16 Christian Rohrbeck , Deborah Costain , Arnoldo Frigessi

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Promising results have driven a recent surge of interest in continuous optimization methods for Bayesian network structure learning from observational data. However, there are theoretical limitations on the identifiability of underlying…

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

Social and Information Networks · Computer Science 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

Methodology · Statistics 2022-08-22 Can M. Le , Tianxi Li

Recent advances in experimental neuroscience allow, for the first time, non-invasive studies of the white matter tracts in the human central nervous system, thus making available cutting-edge brain anatomical data describing these global…

Quantitative Methods · Quantitative Biology 2008-11-06 Jonathan J. Crofts , Desmond J. Higham

Mechanistic models of single-neuron dynamics have been extensively studied in computational neuroscience. However, identifying which models can quantitatively reproduce empirically measured data has been challenging. We propose to overcome…

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

Machine Learning · Computer Science 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

This paper addresses the problem of mixed-membership estimation in networks, where the goal is to efficiently estimate the latent mixed-membership structure from the observed network. Recognizing the widespread availability and valuable…

Statistics Theory · Mathematics 2025-02-11 Jianqing Fan , Jiawei Ge , Jikai Hou

For three decades statistical mechanics has been providing a framework to analyse neural networks. However, the theoretically tractable models, e.g., perceptrons, random features models and kernel machines, or multi-index models and…

Machine Learning · Statistics 2025-06-02 Jean Barbier , Francesco Camilli , Minh-Toan Nguyen , Mauro Pastore , Rudy Skerk
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