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In this paper we address the problem of Monte Carlo approximation of posterior probability distributions in stochastic kinetic models (SKMs). SKMs are multivariate Markov jump processes that model the interactions among species in…

Methodology · Statistics 2014-04-22 Eugenia Koblents , Joaquín Míguez

This work introduces a new method designed for Bayesian deep learning called scalable Bayesian Monte Carlo (SBMC). The method is comprised of a model and an algorithm. The model interpolates between a point estimator and the posterior. The…

This work systematically compares parallel implementations of consistent (asymptotically unbiased) Bayesian deep learning algorithms: sequential Monte Carlo sampler (SMC$_\parallel$) or Markov chain Monte Carlo (MCMC$_\parallel$). We…

We introduce and characterise the performance of the Markov chain Monte Carlo (MCMC) inference method Prune Sampling for discrete and deterministic Bayesian networks (BNs). We developed a procedure to obtain the performance of a MCMC…

Computation · Statistics 2019-08-20 Frank Phillipson , Jurriaan Parie , Ron Weikamp

Deep Neural Networks (DNNs) are being used in various daily tasks such as object detection, speech processing, and machine translation. However, it is known that DNNs suffer from robustness problems -- perturbed inputs called adversarial…

Machine Learning · Computer Science 2020-07-31 Junyu Lin , Lei Xu , Yingqi Liu , Xiangyu Zhang

This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

Monte Carlo (MC) integration is the de facto method for approximating the predictive distribution of Bayesian neural networks (BNNs). But, even with many MC samples, Gaussian-based BNNs could still yield bad predictive performance due to…

Machine Learning · Computer Science 2022-10-18 Agustinus Kristiadi , Runa Eschenhagen , Philipp Hennig

Stochastic Gradient (SG) Markov Chain Monte Carlo algorithms (MCMC) are popular algorithms for Bayesian sampling in the presence of large datasets. However, they come with little theoretical guarantees and assessing their empirical…

Machine Learning · Statistics 2024-05-16 Lorenzo Mauri , Giacomo Zanella

Deep learning achieves state-of-the-art performance in many tasks but exposes to the underlying vulnerability against adversarial examples. Across existing defense techniques, adversarial training with the projected gradient decent attack…

Cryptography and Security · Computer Science 2022-10-04 Tianjin Huang , Vlado Menkovski , Yulong Pei , Mykola Pechenizkiy

Bayesian methods hold significant promise for improving the uncertainty quantification ability and robustness of deep neural network models. Recent research has seen the investigation of a number of approximate Bayesian inference methods…

Machine Learning · Computer Science 2022-02-09 Meet P. Vadera , Adam D. Cobb , Brian Jalaian , Benjamin M. Marlin

In recent years, deep neural networks have demonstrated outstanding performance in many machine learning tasks. However, researchers have discovered that these state-of-the-art models are vulnerable to adversarial examples: legitimate…

Machine Learning · Computer Science 2018-10-10 Ting-Jui Chang , Yukun He , Peng Li

Employing Bayesian inference to calibrate constitutive model parameters has grown substantially in recent years. Among the available techniques, Markov Chain Monte Carlo (MCMC) sampling remains one of the most widely used approaches for…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Aricia Rinkens , Rodrigo L. S. Silva , Erik Quaeghebeur , Nick Jaensson , Clemens Verhoosel

Deep neural networks (DNNs) have shown superior performance comparing to traditional image denoising algorithms. However, DNNs are inevitably vulnerable while facing adversarial attacks. In this paper, we propose an adversarial attack…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Jie Ning , Jiebao Sun , Yao Li , Zhichang Guo , Wangmeng Zuo

Although deep convolutional neural networks (CNNs) have demonstrated remarkable performance on multiple computer vision tasks, researches on adversarial learning have shown that deep models are vulnerable to adversarial examples, which are…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Hongjun Wang , Guanbin Li , Xiaobai Liu , Liang Lin

Monte Carlo algorithms, such as Markov chain Monte Carlo (MCMC) and Hamiltonian Monte Carlo (HMC), are routinely used for Bayesian inference in generalized linear models; however, these algorithms are prohibitively slow in massive data…

Computation · Statistics 2020-08-31 Nariankadu D. Shyamalkumar , Sanvesh Srivastava

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

Machine Learning · Computer Science 2015-02-25 Jacob Steinhardt , Percy Liang

Advances in digital sensors, digital data storage and communications have resulted in systems being capable of accumulating large collections of data. In the light of dealing with the challenges that massive data present, this work proposes…

Computation · Statistics 2015-12-09 Allan De Freitas , François Septier , Lyudmila Mihaylova

Markov chain Monte Carlo (MCMC) algorithms have become powerful tools for Bayesian inference. However, they do not scale well to large-data problems. Divide-and-conquer strategies, which split the data into batches and, for each batch, run…

Computation · Statistics 2017-07-18 Christopher Nemeth , Chris Sherlock

Deep neural networks and other modern machine learning models are often susceptible to adversarial attacks. Indeed, an adversary may often be able to change a model's prediction through a small, directed perturbation of the model's input -…

Machine Learning · Computer Science 2025-04-02 Zihan Ding , Kexin Jin , Jonas Latz , Chenguang Liu

The notion of adversarial attacks on image classification models based on convolutional neural networks (CNN) is introduced in this work. To classify images, deep learning models called CNNs are frequently used. However, when the networks…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Jaydip Sen , Abhiraj Sen , Ananda Chatterjee