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Large neural networks trained on large datasets have become the dominant paradigm in machine learning. These systems rely on maximum likelihood point estimates of their parameters, precluding them from expressing model uncertainty. This may…

Machine Learning · Statistics 2024-05-01 Javier Antoran

In this work we explore a straightforward variational Bayes scheme for Recurrent Neural Networks. Firstly, we show that a simple adaptation of truncated backpropagation through time can yield good quality uncertainty estimates and superior…

Machine Learning · Computer Science 2019-05-13 Meire Fortunato , Charles Blundell , Oriol Vinyals

Uncertainty estimation in large deep-learning models is a computationally challenging task, where it is difficult to form even a Gaussian approximation to the posterior distribution. In such situations, existing methods usually resort to a…

Machine Learning · Computer Science 2019-01-15 Aaron Mishkin , Frederik Kunstner , Didrik Nielsen , Mark Schmidt , Mohammad Emtiyaz Khan

Neural simulation-based inference (SBI) is a popular set of methods for Bayesian inference when models are only available in the form of a simulator. These methods are widely used in the sciences and engineering, where writing down a…

Machine Learning · Statistics 2026-01-15 Yuga Hikida , Ayush Bharti , Niall Jeffrey , François-Xavier Briol

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

Uncertainty quantification is an important task in machine learning - a task in which standardneural networks (NNs) have traditionally not excelled. This can be a limitation for safety-critical applications, where uncertainty-aware methods…

Machine Learning · Computer Science 2024-01-05 Felix Fiedler , Sergio Lucia

Steerable convolutional neural networks (SCNNs) enhance task performance by modelling geometric symmetries through equivariance constraints on weights. Yet, unknown or varying symmetries can lead to overconstrained weights and decreased…

Machine Learning · Computer Science 2025-05-09 Lars Veefkind , Gabriele Cesa

Bayesian neural networks (BNN) can estimate the uncertainty in predictions, as opposed to non-Bayesian neural networks (NNs). However, BNNs have been far less widely used than non-Bayesian NNs in practice since they need iterative NN…

Machine Learning · Computer Science 2022-02-15 Namuk Park , Taekyu Lee , Songkuk Kim

Many statistical models can be simulated forwards but have intractable likelihoods. Approximate Bayesian Computation (ABC) methods are used to infer properties of these models from data. Traditionally these methods approximate the posterior…

Machine Learning · Statistics 2018-04-03 George Papamakarios , Iain Murray

Starting with small and simple concepts, and gradually introducing complex and difficult concepts is the natural process of human learning. Spiking Neural Networks (SNNs) aim to mimic the way humans process information, but current SNNs…

Machine Learning · Computer Science 2023-09-27 Lingling Tang , Jiangtao Hu , Hua Yu , Surui Liu , Jielei Chu

We show that Neural ODEs, an emerging class of time-continuous neural networks, can be verified by solving a set of global-optimization problems. For this purpose, we introduce Stochastic Lagrangian Reachability (SLR), an abstraction-based…

Machine Learning · Computer Science 2021-11-16 Sophie Gruenbacher , Ramin Hasani , Mathias Lechner , Jacek Cyranka , Scott A. Smolka , Radu Grosu

Sum-product networks (SPNs) are probabilistic models characterized by exact and fast evaluation of fundamental probabilistic operations. Its superior computational tractability has led to applications in many fields, such as machine…

Machine Learning · Statistics 2024-06-19 Soma Yokoi , Issei Sato

This paper introduces score-based sequential Langevin sampling (SSLS), a novel approach to nonlinear data assimilation within a recursive Bayesian filtering framework. The proposed method decomposes the assimilation process into alternating…

Numerical Analysis · Mathematics 2026-04-07 Zhao Ding , Chenguang Duan , Yuling Jiao , Jerry Zhijian Yang , Cheng Yuan , Pingwen Zhang

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…

In spatial statistics, fast and accurate parameter estimation, coupled with a reliable means of uncertainty quantification, can be challenging when fitting a spatial process to real-world data because the likelihood function might be slow…

Methodology · Statistics 2024-12-31 Julia Walchessen , Amanda Lenzi , Mikael Kuusela

To support mechanism online learning and facilitate digital twin development for biomanufacturing processes, this paper develops an efficient Bayesian inference approach for partially observed enzymatic stochastic reaction network (SRN), a…

Machine Learning · Statistics 2024-07-02 Wandi Xu , Wei Xie

Likelihood-free inference is concerned with the estimation of the parameters of a non-differentiable stochastic simulator that best reproduce real observations. In the absence of a likelihood function, most of the existing inference methods…

Machine Learning · Statistics 2019-01-03 Arthur Pesah , Antoine Wehenkel , Gilles Louppe

In image segmentation, there is often more than one plausible solution for a given input. In medical imaging, for example, experts will often disagree about the exact location of object boundaries. Estimating this inherent uncertainty and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Miguel Monteiro , Loïc Le Folgoc , Daniel Coelho de Castro , Nick Pawlowski , Bernardo Marques , Konstantinos Kamnitsas , Mark van der Wilk , Ben Glocker

This paper contributes to a development of randomized methods for neural networks. The proposed learner model is generated incrementally by stochastic configuration (SC) algorithms, termed as Stochastic Configuration Networks (SCNs). In…

Neural and Evolutionary Computing · Computer Science 2018-02-14 Dianhui Wang , Ming Li

Bayesian reinforcement learning (BRL) offers a decision-theoretic solution for reinforcement learning. While "model-based" BRL algorithms have focused either on maintaining a posterior distribution on models or value functions and combining…

Machine Learning · Computer Science 2020-07-03 Hannes Eriksson , Emilio Jorge , Christos Dimitrakakis , Debabrota Basu , Divya Grover