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The brain effortlessly solves blind source separation (BSS) problems, but the algorithm it uses remains elusive. In signal processing, linear BSS problems are often solved by Independent Component Analysis (ICA). To serve as a model of a…

Neural and Evolutionary Computing · Computer Science 2021-11-18 Yanis Bahroun , Dmitri B Chklovskii , Anirvan M Sengupta

Neural Ordinary Differential Equations (N-ODEs) are a powerful building block for learning systems, which extend residual networks to a continuous-time dynamical system. We propose a Bayesian version of N-ODEs that enables well-calibrated…

Machine Learning · Computer Science 2020-02-19 Andreas Look , Melih Kandemir

Bayesian neural network posterior distributions have a great number of modes that correspond to the same network function. The abundance of such modes can make it difficult for approximate inference methods to do their job. Recent work has…

Machine Learning · Statistics 2024-07-03 Tommy Rochussen

Learning the graphical structure of Bayesian networks is key to describing data-generating mechanisms in many complex applications but poses considerable computational challenges. Observational data can only identify the equivalence class…

Machine Learning · Statistics 2023-06-28 Enrico Giudice , Jack Kuipers , Giusi Moffa

While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease. Increasingly, anywhere from several to thousands of networks can be created from brain…

Applications · Statistics 2021-01-14 Nathaniel Josephs , Lizhen Lin , Steven Rosenberg , Eric D. Kolaczyk

The main contribution of this article is a new prior distribution over directed acyclic graphs, which gives larger weight to sparse graphs. This distribution is intended for structured Bayesian networks, where the structure is given by an…

Machine Learning · Statistics 2015-04-28 Felix L. Rios , John M. Noble , Timo J. T. Koski

Early but promising results in quantum computing have been enabled by the concurrent development of quantum algorithms, devices, and materials. Classical simulation of quantum programs has enabled the design and analysis of algorithms and…

Quantum Physics · Physics 2022-05-17 Bo Fang , M. Yusuf Özkaya , Ang Li , Ümit V. Çatalyürek , Sriram Krishnamoorthy

Sparse deep neural networks have proven to be efficient for predictive model building in large-scale studies. Although several works have studied theoretical and numerical properties of sparse neural architectures, they have primarily…

Machine Learning · Statistics 2023-09-18 Sanket Jantre , Shrijita Bhattacharya , Tapabrata Maiti

Driven by analogies with state vectors of quantum informatics and noise-based logic, we propose a general scheme and elements of neural circuitry for processing and addressing information in the brain. Specifically, we consider random…

General Physics · Physics 2010-04-05 S. M. Bezrukov , L. B. Kish

Hardware-based spiking neural networks (SNNs) are regarded as promising candidates for the cognitive computing system due to low power consumption and highly parallel operation. In this work, we train the SNN in which the firing time…

Neural and Evolutionary Computing · Computer Science 2022-03-17 Seongbin Oh , Dongseok Kwon , Gyuho Yeom , Won-Mook Kang , Soochang Lee , Sung Yun Woo , Jang Saeng Kim , Min Kyu Park , Jong-Ho Lee

Establishing low-error and fast detection methods for qubit readout is crucial for efficient quantum error correction. Here, we test neural networks to classify a collection of single-shot spin detection events, which are the readout signal…

The Bayesian brain hypothesis postulates that the brain accurately operates on statistical distributions according to Bayes' theorem. The random failure of presynaptic vesicles to release neurotransmitters may allow the brain to sample from…

Neurons and Cognition · Quantitative Biology 2021-11-30 Kevin L. McKee , Ian C. Crandell , Rishidev Chaudhuri , Randall C. O'Reilly

Discovering causal genetic variants from large genetic association studies poses many difficult challenges. Assessing which genetic markers are involved in determining trait status is a computationally demanding task, especially in the…

Genomics · Quantitative Biology 2015-04-09 Andrew L. Beam , Alison Motsinger-Reif , Jon Doyle

Structured stochastic processes evolving in continuous time present a widely adopted framework to model phenomena occurring in nature and engineering. However, such models are often chosen to satisfy the Markov property to maintain…

Machine Learning · Statistics 2020-07-06 Nicolai Engelmann , Dominik Linzner , Heinz Koeppl

In this article, we primarily propose a novel Bayesian characterization of stationary and nonstationary stochastic processes. In practice, this theory aims to distinguish between global stationarity and nonstationarity for both parametric…

Statistics Theory · Mathematics 2020-05-04 Sucharita Roy , Sourabh Bhattacharya

Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Alex Fulleda-Garcia , Saray Soldado-Magraner , Josep Maria Margarit-Taulé

Performing exact inference on Bayesian networks is known to be #P-hard. Typically approximate inference techniques are used instead to sample from the distribution on query variables given the values $e$ of evidence variables. Classically,…

Quantum Physics · Physics 2014-10-02 Guang Hao Low , Theodore J. Yoder , Isaac L. Chuang

We study active structure learning of Bayesian networks in an observational setting, in which there are external limitations on the number of variable values that can be observed from the same sample. Random samples are drawn from the joint…

Machine Learning · Computer Science 2022-08-23 Noa Ben-David , Sivan Sabato

The estimation of Bayesian networks given high-dimensional data, in particular gene expression data, has been the focus of much recent research. Whilst there are several methods available for the estimation of such networks, these typically…

Methodology · Statistics 2011-12-01 Jessica Kasza , Gary Glonek , Patty Solomon

Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

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