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Neural networks are vulnerable to input perturbations such as additive noise and adversarial attacks. In contrast, human perception is much more robust to such perturbations. The Bayesian brain hypothesis states that human brains use an…

机器学习 · 计算机科学 2020-11-11 Yujia Huang , James Gornet , Sihui Dai , Zhiding Yu , Tan Nguyen , Doris Y. Tsao , Anima Anandkumar

Land-atmosphere coupling is an important process for correctly modelling near-surface temperature profiles, but it involves various uncertainties due to subgrid-scale processes, such as turbulent fluxes or unresolved surface…

大气与海洋物理 · 物理学 2025-09-16 Laura Mack , Marvin Kähnert , Norbert Pirk

Bayesian networks are probabilistic graphical models with a wide range of application areas including gene regulatory networks inference, risk analysis and image processing. Learning the structure of a Bayesian network (BNSL) from discrete…

人工智能 · 计算机科学 2021-06-24 Fulya Trösser , Simon de Givry , George Katsirelos

Precise estimation of the probabilistic structure of natural images plays an essential role in image compression. Despite the recent remarkable success of end-to-end optimized image compression, the latent codes are usually assumed to be…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Mu Li , Kede Ma , Jane You , David Zhang , Wangmeng Zuo

The conventional view of the congestion control problem in data networks is based on the principle that a flow's performance is uniquely determined by the state of its bottleneck link, regardless of the topological properties of the…

网络与互联网体系结构 · 计算机科学 2022-10-10 Jordi Ros-Giralt , Noah Amsel , Sruthi Yellamraju , James Ezick , Richard Lethin , Yuang Jiang , Aosong Feng , Leandros Tassiulas

In this dissertation we develop a new formal graphical framework for causal reasoning. Starting with a review of monoidal categories and their associated graphical languages, we then revisit probability theory from a categorical perspective…

概率论 · 数学 2013-01-29 Brendan Fong

Bayesian neural networks (BNNs) with latent variables are probabilistic models which can automatically identify complex stochastic patterns in the data. We describe and study in these models a decomposition of predictive uncertainty into…

Attention-based neural networks have achieved state-of-the-art results on a wide range of tasks. Most such models use deterministic attention while stochastic attention is less explored due to the optimization difficulties or complicated…

机器学习 · 计算机科学 2021-06-10 Shujian Zhang , Xinjie Fan , Bo Chen , Mingyuan Zhou

A Boolean network (BN) is a transformation of the set of Boolean configurations of a given length. A trapspace of a BN is a subcube invariant by the BN; a principal trapspace is the smallest trapspace containing a given configuration; a…

离散数学 · 计算机科学 2026-04-03 Maximilien Gadouleau

Approximate Bayesian Computation (ABC) enables statistical inference in simulator-based models whose likelihoods are difficult to calculate but easy to simulate from. ABC constructs a kernel-type approximation to the posterior distribution…

统计方法学 · 统计学 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

Bayesian Neural Networks (BNNs) have become one of the promising approaches for uncertainty estimation due to the solid theorical foundations. However, the performance of BNNs is affected by the ability of catching uncertainty. Instead of…

机器学习 · 计算机科学 2024-04-15 Shiyu Shen , Bin Pan , Tianyang Shi , Tao Li , Zhenwei Shi

In recent years, research on hyperspectral image (HSI) classification has continuous progress on introducing deep network models, and recently the graph convolutional network (GCN) based models have shown impressive performance. However,…

计算机视觉与模式识别 · 计算机科学 2022-11-15 Mingyang Zhang , Ziqi Di , Maoguo Gong , Yue Wu , Hao Li , Xiangming Jiang

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

统计方法学 · 统计学 2026-01-12 Saku Suorsa , Aki Vehtari

Graph combinatorial optimization problems are widely applicable and notoriously difficult to compute; for example, consider the traveling salesman or facility location problems. In this paper, we explore the feasibility of using…

机器学习 · 计算机科学 2024-07-22 Randy Davila

We study the problem of determining the best intervention in a Causal Bayesian Network (CBN) specified only by its causal graph. We model this as a stochastic multi-armed bandit (MAB) problem with side-information, where the interventions…

机器学习 · 计算机科学 2022-05-20 Aurghya Maiti , Vineet Nair , Gaurav Sinha

This paper studies the problem of recursively estimating the weighted adjacency matrix of a network out of a temporal sequence of binary-valued observations. The observation sequence is generated from nonlinear networked dynamics in which…

系统与控制 · 电气工程与系统科学 2019-12-06 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

Probabilistic models for sequential data are the basis for a variety of applications concerned with processing timely ordered information. The predominant approach in this domain is given by recurrent neural networks, implementing either an…

机器学习 · 统计学 2022-11-21 Ronny Hug , Stefan Becker , Wolfgang Hübner , Michael Arens , Jürgen Beyerer

Contrastive learning has become a key component of self-supervised learning approaches for graph-structured data. Despite their success, existing graph contrastive learning methods are incapable of uncertainty quantification for node…

Cancer progression and monotonic accumulation models were developed to discover dependencies in the irreversible acquisition of binary traits from cross-sectional data. They have been used in computational oncology and virology but also in…

种群与进化 · 定量生物学 2025-05-12 Ramon Diaz-Uriarte , Iain G. Johnston

Deep neural networks excel at function approximation, yet they are typically trained from scratch for each new function. On the other hand, Bayesian methods, such as Gaussian Processes (GPs), exploit prior knowledge to quickly infer the…

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