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We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

机器学习 · 计算机科学 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

Bayesian optimal experimental design is a principled framework for conducting experiments that leverages Bayesian inference to quantify how much information one can expect to gain from selecting a certain design. However, accurate Bayesian…

机器学习 · 统计学 2025-11-12 Yasir Zubayr Barlas , Sabina J. Sloman , Samuel Kaski

Bayesian optimization (BO) is a model-based approach for gradient-free black-box function optimization. Typically, BO is powered by a Gaussian process (GP), whose algorithmic complexity is cubic in the number of evaluations. Hence, GP-based…

机器学习 · 统计学 2017-12-11 Valerio Perrone , Rodolphe Jenatton , Matthias Seeger , Cedric Archambeau

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

机器学习 · 统计学 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

统计计算 · 统计学 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

Variational inference is a popular technique to approximate a possibly intractable Bayesian posterior with a more tractable one. Recently, boosting variational inference has been proposed as a new paradigm to approximate the posterior by a…

机器学习 · 计算机科学 2018-03-08 Francesco Locatello , Rajiv Khanna , Joydeep Ghosh , Gunnar Rätsch

The top-down and bottom-up methods are two mainstreams of referring segmentation, while both methods have their own intrinsic weaknesses. Top-down methods are chiefly disturbed by Polar Negative (PN) errors owing to the lack of fine-grained…

计算机视觉与模式识别 · 计算机科学 2023-06-21 Zesen Cheng , Peng Jin , Hao Li , Kehan Li , Siheng Li , Xiangyang Ji , Chang Liu , Jie Chen

We consider the optimal approximate posterior over the top-layer weights in a Bayesian neural network for regression, and show that it exhibits strong dependencies on the lower-layer weights. We adapt this result to develop a correlated…

机器学习 · 统计学 2021-06-23 Sebastian W. Ober , Laurence Aitchison

In this paper, we deal with batch Bayesian Optimization (Bayes-Opt) problems over a box and we propose a novel bi-objective optimization (BOO) acquisition strategy to sample points where to evaluate the objective function. The BOO problem…

最优化与控制 · 数学 2025-05-27 Francesco Carciaghi , Simone Magistri , Pierluigi Mansueto , Fabio Schoen

Using multiple ion beam analysis measurements, or techniques, combined with self-consistent data processing, generally allows extracting more (or more accurate) information from the measurements than processing separately data from single…

数据分析、统计与概率 · 物理学 2022-11-23 Tiago F. Silva , Cleber L. Rodrigues , Manfredo H. Tabacniks , Udo von Toussaint , Matej Mayer

Adaptive radar waveform design grounded in information-theoretic principles is critical for advancing cognitive radar performance in complex environments. This paper investigates the optimization of phase-coded waveforms under constant…

信号处理 · 电气工程与系统科学 2025-05-01 Ruofeng Yu , Caiguang Zhang , Chenyang Luo , Mengdi Bai , Shangqu Yan , Wei Yang , Yaowen Fu

Accurate estimation of treatment effects in online A/B testing is challenging with zero-inflated and skewed metrics. Traditional tests, like Welch's t-test, often lack sensitivity with heavy-tailed data due to their reliance on means, as…

统计方法学 · 统计学 2025-10-07 Kevin Charette , Tristan Boudreault

Population adjustment methods such as matching-adjusted indirect comparison (MAIC) are increasingly used to compare marginal treatment effects when there are cross-trial differences in effect modifiers and limited patient-level data. MAIC…

统计方法学 · 统计学 2022-05-12 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

Models for genome-wide prediction and association studies usually target a single phenotypic trait. However, in animal and plant genetics it is common to record information on multiple phenotypes for each individual that will be genotyped.…

统计方法学 · 统计学 2014-12-09 Marco Scutari , Phil Howell , David J. Balding , Ian Mackay

Finite mixtures are a broad class of models useful in scenarios where observed data is generated by multiple distinct processes but without explicit information about the responsible process for each data point. Estimating Bayesian mixture…

机器学习 · 统计学 2026-03-17 Šimon Kucharský , Paul Christian Bürkner

In this paper, we develop a Wasserstein autoencoder (WAE) with a hyperspherical prior for multimodal data in the application of inertial confinement fusion. Unlike a typical hyperspherical generative model that requires computationally…

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

统计方法学 · 统计学 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

In this work we propose a batch Bayesian optimization method for combinatorial problems on permutations, which is well suited for expensive-to-evaluate objectives. We first introduce LAW, an efficient batch acquisition method based on…

机器学习 · 统计学 2023-01-26 Changyong Oh , Roberto Bondesan , Efstratios Gavves , Max Welling

In pre- and non-clinical toxicology, the reduction of animal use is highly desireable. Although approaches for possible sample size reduction in the concurrent control group were suggested previously under the virtual control groups…

统计方法学 · 统计学 2026-03-13 Max Menssen , Carsten Kneuer , Gyamfi Akyianu , Christian Röver , Tim Friede , Frank Schaarschmidt

It is commonly believed that Bayesian optimization (BO) algorithms are highly efficient for optimizing numerically costly functions. However, BO is not often compared to widely different alternatives, and is mostly tested on narrow sets of…

最优化与控制 · 数学 2021-10-01 Rodolphe Le Riche , Victor Picheny