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In this work, we propose a Bayesian thinning algorithm for recovering weighted point source functions in the heat equation from boundary flux observations. The major challenge in the classical Bayesian framework lies in constructing…

统计计算 · 统计学 2025-09-19 Zhiliang Deng , Chen Li , Xiaomei Yang

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

机器学习 · 统计学 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk

We consider the reconstruction of a heterogeneous coefficient field in a Robin boundary condition on an inaccessible part of the boundary in a Poisson problem with an uncertain (or unknown) inhomogeneous conductivity field in the interior…

最优化与控制 · 数学 2018-09-26 Ruanui Nicholson , Noemi Petra , Jari Kaipio

We address quantum decision theory as a convenient framework to analyze process discrimination and estimation in qubit systems. In particular we discuss the following problems: i) how to discriminate whether or not a given unitary…

量子物理 · 物理学 2019-05-21 Ivan Maffeis , Seid Koudia , Abdelhakim Gharbi , Matteo G. A. Paris

Engineers are often faced with the decision to select the most appropriate model for simulating the behavior of engineered systems, among a candidate set of models. Experimental monitoring data can generate significant value by supporting…

应用统计 · 统计学 2023-10-17 Antonios Kamariotis , Eleni Chatzi

In the present work, a rate-dependent cohesive zone model for the fracture of polymeric interfaces is presented. Inverse calibration of parameters for such complex models through trial and error is computationally tedious due to the large…

计算工程、金融与科学 · 计算机科学 2023-11-15 Ponkrshnan Thiagarajan , Trisha Sain , Susanta Ghosh

Obtaining reliable and accurate quantification of uncertainty estimates from deep neural networks is important in safety-critical applications. A well-calibrated model should be accurate when it is certain about its prediction and indicate…

机器学习 · 计算机科学 2020-12-16 Ranganath Krishnan , Omesh Tickoo

We propose a collision model to investigate the information dynamics of a system coupled to an environment with varying degrees of non-Markovianity. We control the degree of non-Markovianity by applying a depolarising channel to a fixed and…

量子物理 · 物理学 2026-04-08 Simone Rijavec , Giuseppe Di Pietra

This work addresses the challenge of ignition timing and load control in homogeneous charge compression ignition engines operating subject to uncertainty from complex combustion dynamics and external disturbances. To handle this issue, we…

系统与控制 · 电气工程与系统科学 2026-04-15 Xu Chen , Kevin Kluge , Maximilian Basler , Lorenz Dörschel , Heike Vallery

In robotics, simulation has the potential to reduce design time and costs, and lead to a more robust engineered solution and a safer development process. However, the use of simulators is predicated on the availability of good models. This…

机器人学 · 计算机科学 2023-05-12 Huzaifa Mustafa Unjhawala , Ruochun Zhang , Wei Hu , Jinlong Wu , Radu Serban , Dan Negrut

We develop a fast and scalable computational framework to solve large-scale and high-dimensional Bayesian optimal experimental design problems. In particular, we consider the problem of optimal observation sensor placement for Bayesian…

数值分析 · 数学 2020-11-09 Keyi Wu , Peng Chen , Omar Ghattas

We propose and test improvements to state-of-the-art techniques of Bayeasian statistical inference based on pseudolikelihood maximization with $\ell_1$ regularization and with decimation. In particular, we present a method to determine the…

数据分析、统计与概率 · 物理学 2018-07-18 Alessia Marruzzo , Payal Tyagi , Fabrizio Antenucci , Andrea Pagnani , Luca Leuzzi

Reliable optimal control is challenging when the dynamics of a nonlinear system are unknown and only infrequent, noisy output measurements are available. This work addresses this setting of limited sensing by formulating a Bayesian prior…

系统与控制 · 电气工程与系统科学 2026-05-21 Robert Lefringhausen , Theodor Springer , Sandra Hirche

In this article, we propose a novel method for sampling potential functions based on noisy observation data of a finite number of observables in quantum canonical ensembles, which leads to the accurate sampling of a wide class of test…

数值分析 · 数学 2020-04-08 Ziheng Chen , Zhennan Zhou

This study aims to comprehensively investigate the deep ensemble approach, an approximate Bayesian inference, in the multi-output regression task for predicting the aerodynamic performance of a missile configuration. To this end, the effect…

机器学习 · 计算机科学 2023-11-27 Sunwoong Yang , Kwanjung Yee

We develop a framework for warm-starting Bayesian optimization, that reduces the solution time required to solve an optimization problem that is one in a sequence of related problems. This is useful when optimizing the output of a…

机器学习 · 统计学 2016-08-12 Matthias Poloczek , Jialei Wang , Peter I. Frazier

A density-based topology optimization framework is developed to manipulate characteristic modes of conducting surfaces. The adjoint sensitivity analysis provides an efficient computation of the material gradient utilized by the local…

最优化与控制 · 数学 2025-02-07 Jonas Tucek , Miloslav Capek , Lukas Jelinek

It has become commonplace to use complex computer models to predict outcomes in regions where data does not exist. Typically these models need to be calibrated and validated using some experimental data, which often consists of multiple…

统计方法学 · 统计学 2014-06-19 Curtis B. Storlie , William A. Lane , Emily M. Ryan , James R. Gattiker , David M. Higdon

Calibration is central to reliable semantic uncertainty quantification, yet prior work has largely focused on discrimination, neglecting calibration. As calibration and discrimination capture distinct aspects of uncertainty, focusing on…

机器学习 · 计算机科学 2026-04-09 Tom A. Lamb , Desi R. Ivanova , Philip H. S. Torr , Tim G. J. Rudner

The evolution and release of fission gas impacts the performance of UO2 nuclear fuel. We have created a Bayesian framework to calibrate a novel model for fission gas transport that predicts diffusion rates of uranium and xenon in UO2 under…