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Characterising the interactions between spiking neurons is central to our understanding of cognitive processes such as memory, perception and decision making. In this work, we consider the problem of inferring connectivity in the brain…

Applications · Statistics 2025-07-25 Carla Pinkney , Carolina Euan , Alex Gibberd

This dissertation reports some first steps towards a compositional account of active inference and the Bayesian brain. Specifically, we use the tools of contemporary applied category theory to supply functorial semantics for approximate…

Neurons and Cognition · Quantitative Biology 2023-12-20 Toby St Clere Smithe

We consider the inverse reinforcement learning problem, that is, the problem of learning from, and then predicting or mimicking a controller based on state/action data. We propose a statistical model for such data, derived from the…

Machine Learning · Statistics 2012-11-27 Sumeetpal S. Singh , Nicolas Chopin , Nick Whiteley

In this paper we propose BVAR-connect, a variational inference approach to a Bayesian multi-subject vector autoregressive (VAR) model for inference on effective brain connectivity based on resting-state functional MRI data. The modeling…

Applications · Statistics 2021-06-18 Jeong Hwan Kook , Kelly A. Vaughn , Dana M. DeMaster , Linda Ewing-Cobbs , Marina Vannucci

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems. These techniques are designed to elucidate emergent phenomena within intricate systems of interacting agents.…

Machine Learning · Computer Science 2024-04-08 Jinchao Feng , Ming Zhong

Graphical models are powerful tools for modeling high-dimensional data, but learning graphical models in the presence of latent variables is well-known to be difficult. In this work we give new results for learning Restricted Boltzmann…

Machine Learning · Computer Science 2020-07-28 Surbhi Goel , Adam Klivans , Frederic Koehler

Networks provide a powerful formalism for modeling complex systems by using a model of pairwise interactions. But much of the structure within these systems involves interactions that take place among more than two nodes at once; for…

Social and Information Networks · Computer Science 2018-12-13 Austin R. Benson , Rediet Abebe , Michael T. Schaub , Ali Jadbabaie , Jon Kleinberg

One of the primary goals of systems neuroscience is to relate the structure of neural circuits to their function, yet patterns of connectivity are difficult to establish when recording from large populations in behaving organisms. Many…

Machine Learning · Computer Science 2020-12-08 Anne Draelos , Eva A. Naumann , John M. Pearson

In Bayesian Networks (BNs), the direction of edges is crucial for causal reasoning and inference. However, Markov equivalence class considerations mean it is not always possible to establish edge orientations, which is why many BN structure…

Machine Learning · Computer Science 2022-10-19 Kiattikun Chobtham , Anthony C. Constantinou , Neville K. Kitson

Bayesian networks are probabilistic graphical models often used in big data analytics. The problem of exact structure learning is to find a network structure that is optimal under certain scoring criteria. The problem is known to be NP-hard…

Artificial Intelligence · Computer Science 2017-03-22 Subhadeep Karan , Jaroslaw Zola

Graphical models provide a powerful methodology for learning the conditional independence structure in multivariate data. Inference is often focused on estimating individual edges in the latent graph. Nonetheless, there is increasing…

Methodology · Statistics 2023-12-15 Willem van den Boom , Maria De Iorio , Alexandros Beskos

Attention modules, as simple and effective tools, have not only enabled deep neural networks to achieve state-of-the-art results in many domains, but also enhanced their interpretability. Most current models use deterministic attention…

Machine Learning · Statistics 2020-10-22 Xinjie Fan , Shujian Zhang , Bo Chen , Mingyuan Zhou

We propose a novel Bayesian methodology for analyzing nonstationary time series that exhibit oscillatory behaviour. We approximate the time series using a piecewise oscillatory model with unknown periodicities, where our goal is to estimate…

We develop a method for reconstructing regulatory interconnection networks between variables evolving according to a linear dynamical system. The work is motivated by the problem of gene regulatory network inference, that is, finding causal…

Methodology · Statistics 2018-02-19 Atte Aalto , Jorge Goncalves

We propose a structure-preserving model-reduction methodology for large-scale dynamic networks with tightly-connected components. First, the coherent groups are identified by a spectral clustering algorithm on the graph Laplacian matrix…

Systems and Control · Electrical Eng. & Systems 2023-05-15 Hancheng Min , Enrique Mallada

Causal relationships play a fundamental role in understanding the world around us. The ability to identify and understand cause-effect relationships is critical to making informed decisions, predicting outcomes, and developing effective…

Statistical Mechanics · Physics 2025-09-10 Sergio Chibbaro , Cyril Furtlehner , Théo Marchetta , Andrei-Tiberiu Pantea , Davide Rossetti

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee

Mesoscale structures are an integral part of the abstraction and analysis of complex systems. They reveal a node's function in the network, and facilitate our understanding of the network dynamics. For example, they can represent…

Methodology · Statistics 2023-01-27 Luka V. Petrović , Vincenzo Perri

A Bayesian approach to conduct network model selection is presented for a general class of network models referred to as the congruence class models (CCMs). CCMs form a broad class that includes as special cases several common network…

Applications · Statistics 2020-01-22 Ravi Goyal , Victor De Gruttola