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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

A primary goal of social science research is to understand how latent group memberships predict the dynamic process of network evolution. In the modeling of international militarized conflicts, for instance, scholars hypothesize that…

Applications · Statistics 2021-10-26 Santiago Olivella , Tyler Pratt , Kosuke Imai

We present two models of competitive learning, which are respectively interfacial and cooperative learning. This learning is outcome-related, so that spatially and temporally local environments influence the conversion of a given site…

Statistical Mechanics · Physics 2009-10-31 Anita Mehta , J. M. Luck

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

Data Structures and Algorithms · Computer Science 2022-05-12 Vineet Goyal , Rajan Udwani

Our theoretical understanding of deep learning has not kept pace with its empirical success. While network architecture is known to be critical, we do not yet understand its effect on learned representations and network behavior, or how…

Machine Learning · Computer Science 2022-07-22 Andrew M. Saxe , Shagun Sodhani , Sam Lewallen

Mutual Information between agent Actions and environment States (MIAS) quantifies the influence of agent on its environment. Recently, it was found that the maximization of MIAS can be used as an intrinsic motivation for artificial agents.…

Machine Learning · Computer Science 2020-08-04 Ruihan Zhao , Stas Tiomkin , Pieter Abbeel

Modern network data analysis often involves analyzing network structures alongside covariate features to gain deeper insights into underlying patterns. However, traditional covariate-assisted statistical network models may not adequately…

Methodology · Statistics 2025-05-07 Peng Zhao , Yabo Niu

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

Identifying latent representations or causal structures is important for good generalization and downstream task performance. However, both fields have been developed rather independently. We observe that several methods in both…

Machine Learning · Statistics 2025-02-11 Patrik Reizinger , Siyuan Guo , Ferenc Huszár , Bernhard Schölkopf , Wieland Brendel

Although there is a rapidly growing literature on dynamic connectivity methods, the primary focus has been on separate network estimation for each individual, which fails to leverage common patterns of information. We propose novel…

Methodology · Statistics 2021-01-15 Suprateek Kundu , Jin Ming , Joe Nocera , Keith M. McGregor

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

Machine Learning · Computer Science 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

In this paper, we present a strategy for training convolutional neural networks to effectively resolve interference arising from competing hypotheses relating to inter-categorical information throughout the network. The premise is based on…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Md Amirul Islam , Matthew Kowal , Konstantinos G. Derpanis , Neil D. B. Bruce

Complex networks have been found to provide a good representation of the structure of knowledge, as understood in terms of discoverable concepts and their relationships. In this context, the discovery process can be modeled as agents…

Social and Information Networks · Computer Science 2017-09-07 Henrique F. de Arruda , Filipi N. Silva , Luciano da F. Costa , Diego R. Amancio

Despite its great success, backpropagation has certain limitations that necessitate the investigation of new learning methods. In this study, we present a biologically plausible local learning rule that improves upon Hebb's well-known…

Neural and Evolutionary Computing · Computer Science 2022-12-27 Hongchao Zhou

A fundamental difficulty of causal learning is that causal models can generally not be fully identified based on observational data only. Interventional data, that is, data originating from different experimental environments, improves…

Methodology · Statistics 2021-11-04 Juan L. Gamella , Christina Heinze-Deml

Feature selection eliminates redundancy among features to improve downstream task performance while reducing computational overhead. Existing methods often struggle to capture intricate feature interactions and adapt across diverse…

Machine Learning · Computer Science 2026-03-02 Rui Liu , Tao Zhe , Yanjie Fu , Feng Xia , Ted Senator , Dongjie Wang

Deep latent variable models are powerful tools for representation learning. In this paper, we adopt the deep information bottleneck model, identify its shortcomings and propose a model that circumvents them. To this end, we apply a copula…

Machine Learning · Statistics 2018-04-20 Aleksander Wieczorek , Mario Wieser , Damian Murezzan , Volker Roth

We characterize the identified sets of a wide range of stochastic choice models, including random utility, various models of boundedly-rational behavior, and dynamic discrete choice. In each of these settings, we show two distributions over…

Theoretical Economics · Economics 2026-02-24 Peter Caradonna , Christopher Turansick

The Bayesian view of the brain hypothesizes that the brain constructs a generative model of the world, and uses it to make inferences via Bayes' rule. Although many types of approximate inference schemes have been proposed for hierarchical…

Neurons and Cognition · Quantitative Biology 2019-11-15 Shashwat Shukla , Hideaki Shimazaki , Udayan Ganguly