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A study of the classification problem in context of information theory is presented in the paper. Current research in that field is focused on optimisation and bayesian approach. Although that gives satisfying results, they require a vast…

Machine Learning · Computer Science 2017-12-05 Artem Artemov , Eugeny Lutsenko , Edward Ayunts , Ivan Bolokhov

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

Neural networks are powerful tools for cognitive modeling due to their flexibility and emergent properties. However, interpreting their learned representations remains challenging due to their sub-symbolic semantics. In this work, we…

Machine Learning · Computer Science 2026-04-07 Andrew Nam , Declan Campbell , Thomas Griffiths , Jonathan Cohen , Sarah-Jane Leslie

We establish estimations for the parameters of the output distribution for the softmax activation function using the probit function. As an application, we develop a new efficient Bayesian learning algorithm for fully connected neural…

Machine Learning · Computer Science 2023-02-01 Tianbo Yang , Tianshuo Yang

Real-world autonomous systems operate under uncertainty about both their pose and dynamics. Autonomous control systems must simultaneously perform estimation and control tasks to maintain robustness to changing dynamics or modeling errors.…

Systems and Control · Computer Science 2018-08-03 Patrick Slade , Zachary N. Sunberg , Mykel J. Kochenderfer

We introduce a class of neural networks derived from probabilistic models in the form of Bayesian networks. By imposing additional assumptions about the nature of the probabilistic models represented in the networks, we derive neural…

Disordered Systems and Neural Networks · Physics 2010-04-30 Michael J. Barber , John W. Clark

Deep learning-based image reconstruction approaches have demonstrated impressive empirical performance in many imaging modalities. These approaches usually require a large amount of high-quality paired training data, which is often not…

Image and Video Processing · Electrical Eng. & Systems 2022-09-21 Riccardo Barbano , Zeljko Kereta , Andreas Hauptmann , Simon R. Arridge , Bangti Jin

Automatic anomaly detection is a major issue in various areas. Beyond mere detection, the identification of the origin of the problem that produced the anomaly is also essential. This paper introduces a general methodology that can assist…

Machine Learning · Statistics 2014-09-17 Tsirizo Rabenoro , Jérôme Lacaille , Marie Cottrell , Fabrice Rossi

This paper introduces a probabilistic framework to estimate parameters of an acquisition function given observed human behavior that can be modeled as a collection of sample paths from a Bayesian optimization procedure. The methodology…

Human-Computer Interaction · Computer Science 2022-02-04 Nathan Sandholtz , Yohsuke Miyamoto , Luke Bornn , Maurice Smith

Epistemic AI accelerates biomedical discovery by finding hidden connections in the network of biomedical knowledge. The Epistemic AI web-based software platform embodies the concept of knowledge mapping, an interactive process that relies…

Artificial Intelligence · Computer Science 2022-04-04 Da Chen Emily Koo , Heather Bowling , Kenneth Ashworth , David J. Heeger , Stefano Pacifico

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

Machine Learning · Computer Science 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the…

Machine Learning · Statistics 2018-12-04 James T. Wilson , Frank Hutter , Marc Peter Deisenroth

Tackling the problem of learning probabilistic classifiers from incomplete data in the context of Knowledge Graphs expressed in Description Logics, we describe an inductive approach based on learning simple belief networks. Specifically, we…

Artificial Intelligence · Computer Science 2024-07-10 Christian Riefolo , Nicola Fanizzi , Claudia d'Amato

In this paper we propose a Bayesian method for estimating architectural parameters of neural networks, namely layer size and network depth. We do this by learning concrete distributions over these parameters. Our results show that regular…

Machine Learning · Statistics 2019-01-29 Georgi Dikov , Patrick van der Smagt , Justin Bayer

Safety-critical technical systems operating in unknown environments require the ability to quickly adapt their behavior, which can be achieved in control by inferring a model online from the data stream generated during operation. Gaussian…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Armin Lederer , Mingmin Zhang , Samuel Tesfazgi , Sandra Hirche

The inability of artificial neural networks to assess the uncertainty of their predictions is an impediment to their widespread use. We distinguish two types of learnable uncertainty: model uncertainty due to a lack of training data and…

Machine Learning · Computer Science 2022-06-14 Hans Weytjens , Jochen De Weerdt

We propose a method to identify all the nodes that are relevant to compute all the conditional probability distributions for a given set of nodes. Our method is simple, effcient, consistent, and does not require learning a Bayesian network…

Machine Learning · Computer Science 2012-07-02 Jose M. Pena , Roland Nilsson , Johan Björkegren , Jesper Tegnér

We consider the problem of learning Bayesian network classifiers that maximize the marginover a set of classification variables. We find that this problem is harder for Bayesian networks than for undirected graphical models like maximum…

Machine Learning · Computer Science 2012-07-09 Yuhong Guo , Dana Wilkinson , Dale Schuurmans

When using Bayesian networks for modelling the behavior of man-made machinery, it usually happens that a large part of the model is deterministic. For such Bayesian networks deterministic part of the model can be represented as a Boolean…

Artificial Intelligence · Computer Science 2013-01-18 Thomas D. Nielsen , Pierre-Henri Wuillemin , Finn Verner Jensen , Uffe Kjærulff

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz
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