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In this paper we propose a novel method which leverages the uncertainty measures provided by Bayesian deep networks through curriculum learning so that the uncertainty estimates are fed back to the system to resample the training data more…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Sora Iwamoto , Bisser Raytchev , Toru Tamaki , Kazufumi Kaneda

Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

Generalization is essential for deep learning. In contrast to previous works claiming that Deep Neural Networks (DNNs) have an implicit regularization implemented by the stochastic gradient descent, we demonstrate explicitly Bayesian…

Machine Learning · Computer Science 2019-10-23 Xinjie Lan , Kenneth E. Barner

Crowd counting is a challenging yet critical task in computer vision with applications ranging from public safety to urban planning. Recent advances using Convolutional Neural Networks (CNNs) that estimate density maps have shown…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Abhinav Sagar

We consider the problem of Bayesian parameter estimation for deep neural networks, which is important in problem settings where we may have little data, and/ or where we need accurate posterior predictive densities, e.g., for applications…

Machine Learning · Computer Science 2015-11-10 Anoop Korattikara , Vivek Rathod , Kevin Murphy , Max Welling

End-to-end trained neural networks (NNs) are a compelling approach to autonomous vehicle control because of their ability to learn complex tasks without manual engineering of rule-based decisions. However, challenging road conditions,…

Artificial Intelligence · Computer Science 2021-11-24 Alexander Amini , Ava Soleimany , Sertac Karaman , Daniela Rus

This paper proposes a sparse Bayesian treatment of deep neural networks (DNNs) for system identification. Although DNNs show impressive approximation ability in various fields, several challenges still exist for system identification…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Hongpeng Zhou , Chahine Ibrahim , Wei Xing Zheng , Wei Pan

Modern neural network architectures have achieved remarkable accuracies but remain highly dependent on their training data, often lacking interpretability in their learned mappings. While effective on large datasets, they tend to overfit on…

Machine Learning · Computer Science 2025-03-19 Pavia Bera , Sanjukta Bhanja

Assessing the predictive uncertainty of deep neural networks is crucial for safety-related applications of deep learning. Although Bayesian deep learning offers a principled framework for estimating model uncertainty, the common approaches…

Machine Learning · Computer Science 2024-03-06 Yookoon Park , David M. Blei

We propose a light-weight deep convolutional neural network (CNN) to estimate the cosmological parameters from simulated 3-dimensional dark matter distributions with high accuracy. The training set is based on 465 realizations of a cubic…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-11 Shuyang Pan , Miaoxin Liu , Jaime Forero-Romero , Cristiano G. Sabiu , Zhigang Li , Haitao Miao , Xiao-Dong Li

This paper investigates two prominent probabilistic neural modeling paradigms: Bayesian Neural Networks (BNNs) and Mixture Density Networks (MDNs) for uncertainty-aware nonlinear regression. While BNNs incorporate epistemic uncertainty by…

Computation · Statistics 2025-10-30 Riddhi Pratim Ghosh , Ian Barnett

Reliable uncertainty estimation is crucial for machine learning models, especially in safety-critical domains. While exact Bayesian inference offers a principled approach, it is often computationally infeasible for deep neural networks.…

Machine Learning · Computer Science 2025-12-18 Aslak Djupskås , Alexander Johannes Stasik , Signe Riemer-Sørensen

As deep neural networks (DNNs) are applied to increasingly challenging problems, they will need to be able to represent their own uncertainty. Modeling uncertainty is one of the key features of Bayesian methods. Using Bernoulli dropout with…

Machine Learning · Computer Science 2019-09-19 Patrick McClure , Nikolaus Kriegeskorte

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

The ATLAS experiment at the Large Hadron Collider explores the use of modern neural networks for a multi-dimensional calibration of its calorimeter signal defined by clusters of topologically connected cells (topo-clusters). The Bayesian…

High Energy Physics - Experiment · Physics 2026-02-03 ATLAS Collaboration

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…

With the advent of wide-field cosmological surveys, we are approaching samples of hundreds of thousands of galaxy clusters. While such large numbers will help reduce statistical uncertainties, the control of systematics in cluster masses…

Forthcoming imaging surveys will potentially increase the number of known galaxy-scale strong lenses by several orders of magnitude. For this to happen, images of tens of millions of galaxies will have to be inspected to identify potential…

Astrophysics of Galaxies · Physics 2024-01-29 Euclid Collaboration , L. Leuzzi , M. Meneghetti , G. Angora , R. B. Metcalf , L. Moscardini , P. Rosati , P. Bergamini , F. Calura , B. Clément , R. Gavazzi , F. Gentile , M. Lochner , C. Grillo , G. Vernardos , N. Aghanim , A. Amara , L. Amendola , S. Andreon , N. Auricchio , S. Bardelli , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , L. Corcione , F. Courbin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , J. Dinis , F. Dubath , X. Dupac , S. Dusini , M. Farina , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , I. Hook , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , B. Joachimi , M. Kümmel , E. Keihänen , S. Kermiche , A. Kiessling , T. Kitching , M. Kunz , H. Kurki-Suonio , P. B. Lilje , V. Lindholm , I. Lloro , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , E. Merlin , G. Meylan , M. Moresco , E. Munari , S. -M. Niemi , J. W. Nightingale , T. Nutma , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , D. Sapone , B. Sartoris , M. Schirmer , P. Schneider , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , T. Vassallo , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , E. Zucca , A. Boucaud , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , R. Farinelli , J. Graciá-Carpio , N. Mauri , C. Neissner , V. Scottez , M. Tenti , A. Tramacere , Y. Akrami , V. Allevato , C. Baccigalupi , M. Ballardini , F. Bernardeau , A. Biviano , S. Borgani , A. S. Borlaff , H. Bretonnière , C. Burigana , R. Cabanac , A. Cappi , C. S. Carvalho , G. Castignani , T. Castro , K. C. Chambers , A. R. Cooray , J. Coupon , S. Davini , S. de la Torre , G. De Lucia , G. Desprez , S. Di Domizio , H. Dole , J. A. Escartin Vigo , S. Escoffier , I. Ferrero , L. Gabarra , K. Ganga , J. Garcia-Bellido , E. Gaztanaga , K. George , G. Gozaliasl , H. Hildebrandt , M. Huertas-Company , J. J. E. Kajava , V. Kansal , C. C. Kirkpatrick , L. Legrand , A. Loureiro , M. Magliocchetti , G. Mainetti , R. Maoli , M. Martinelli , C. J. A. P. Martins , S. Matthew , L. Maurin , P. Monaco , G. Morgante , S. Nadathur , A. A. Nucita , M. Pöntinen , L. Patrizii , V. Popa , C. Porciani , D. Potter , P. Reimberg , A. G. Sánchez , Z. Sakr , A. Schneider , M. Sereno , P. Simon , A. Spurio Mancini , J. Stadel , J. Steinwagner , R. Teyssier , J. Valiviita , M. Viel , I. A. Zinchenko , H. Domínguez Sánchez

While Deep Neural Networks (DNNs) achieve state-of-the-art accuracy in various applications, they often fall short in accurately estimating their predictive uncertainty and, in turn, fail to recognize when these predictions may be wrong.…

Machine Learning · Computer Science 2020-07-22 Ankur Mallick , Chaitanya Dwivedi , Bhavya Kailkhura , Gauri Joshi , T. Yong-Jin Han

We demonstrate the potential of Deep Learning methods for measurements of cosmological parameters from density fields, focusing on the extraction of non-Gaussian information. We consider weak lensing mass maps as our dataset. We aim for our…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Jorit Schmelzle , Aurelien Lucchi , Tomasz Kacprzak , Adam Amara , Raphael Sgier , Alexandre Réfrégier , Thomas Hofmann