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To deploy machine learning models in the real world, researchers have proposed many OOD detection algorithms to help models identify unknown samples during the inference phase and prevent them from making untrustworthy predictions. Unlike…

Machine Learning · Computer Science 2025-02-25 Heng Gao , Zhuolin He , Jian Pu

This investigation is motivated by the problem of optimal design of cooling elements in modern battery systems. We consider a simple model of two-dimensional steady-state heat conduction described by elliptic partial differential equations…

Numerical Analysis · Mathematics 2013-07-05 Xiaohui Peng , Katsiaryna Niakhai , Bartosz Protas

This article presents an algorithm for reducing measurement uncertainty of one physical quantity when given oversampled measurements of two physical quantities with correlated noise. The algorithm assumes that the aleatoric measurement…

Signal Processing · Electrical Eng. & Systems 2021-11-30 James T. Meech , Phillip Stanley-Marbell

In this paper, we introduce a novel, adapted approach for computing gas adsorption properties in porous materials. We analyze the Dubinin-Polanyi's adsorption model and investigate various frameworks to estimate its required essential…

Materials Science · Physics 2023-10-25 F. Stavarache , A. Luna-Triguero , S. Calero , J. M. Vicent-Luna

We introduce a novel geometric framework for optimal experimental design (OED). Traditional OED approaches, such as those based on mutual information, rely explicitly on probability densities, leading to restrictive invariance properties.…

Machine Learning · Statistics 2025-10-17 Gavin Kerrigan , Christian A. Naesseth , Tom Rainforth

In this paper, we present a new implementation of the Multicomponent Potential Theory of Adsorption model. The proposed interpretation establishes a clear cut between parameters that depends on the adsorbent from those depending on the…

Soft Condensed Matter · Physics 2020-12-01 Raphaël Gervais Lavoie , Jean Hamelin , Pierre Bénard

Accurate knowledge of absorption coefficient of a sample is a prerequisite for measuring the third order optical nonlinearity of materials, which can be a serious limitation for unknown samples. We introduce a method, which measures both…

Optics · Physics 2007-05-23 A. Sharan , S. Abbas Hosseini , D. Goswami

We present an efficient method for computing A-optimal experimental designs for infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs). Specifically, we address the problem of optimizing the…

Computation · Statistics 2014-05-29 Alen Alexanderian , Noemi Petra , Georg Stadler , Omar Ghattas

A simple model to fit experimental data of adsorption of gases and vapours on microporous adsorbents (type I isotherms) is proposed. The main assumption is that the adsorbate phase can be divided into identical and non-interacting effective…

Chemical Physics · Physics 2012-05-16 Martin A. Mosquera

Real-time estimations of temperature distributions and geometric configurations are important to energy efficient buildings and the development of smarter cities. In this paper we formulate a gradient-based estimation algorithm capable of…

Optimization and Control · Mathematics 2016-05-20 Runxin He , Humberto Gonzalez

In computational inverse problems, the optimal experimental design (OED) problem seeks the best locations in time and space at which to take measurements. We investigate the nonlinear OED problem in the context of continuously-indexed…

Numerical Analysis · Mathematics 2025-06-10 Ruhui Jin , Qin Li , Stephen O. Mussmann , Stephen J. Wright

This work presents an original experimental device conceived to characterise the viscoelastic properties of wood. Classically, the dynamic mechanical analysis of wood is performed using a commercial apparatus like a DMA (Dynamic Mechanical…

Classical Physics · Physics 2009-06-22 Vincent Placet , Joëlle Passard , Patrick Perré

We develop a computational approach that significantly improves the efficiency of Bayesian optimal experimental design (BOED) using local radial basis functions (RBFs). The presented RBF--BOED method uses the intrinsic ability of RBFs to…

Computational Physics · Physics 2025-05-20 Tianyi Chu , Jonathan B. Estrada , Spencer H. Bryngelson

It is well known that thermal insulation is a leading strategy for reducing energy consumption associated to heating or cooling processes in buildings. Nevertheless, building insulation can generate high expenditures so that the selection…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

The training and test data for deep-neural-network-based classifiers are usually assumed to be sampled from the same distribution. When part of the test samples are drawn from a distribution that is sufficiently far away from that of the…

Machine Learning · Computer Science 2021-12-14 Yinan Wang , Wenbo Sun , Jionghua "Judy" Jin , Zhenyu "James" Kong , Xiaowei Yue

This paper presents an indoor occupancy estimator with which we can estimate the number of real-time indoor occupants based on the carbon dioxide (CO2) measurement. The estimator is actually a dynamic model of the occupancy level. To…

Systems and Control · Computer Science 2016-07-21 Chaoyang Jiang , Mustafa K. Masood , Yeng Chai Soh , Hua Li

Out-of-distribution (OOD) detection is essential to prevent anomalous inputs from causing a model to fail during deployment. While improved OOD detection methods have emerged, they often rely on the final layer outputs and require a full…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Ziqian Lin , Sreya Dutta Roy , Yixuan Li

Out-of-distribution (OOD) detection approaches usually present special requirements (e.g., hyperparameter validation, collection of outlier data) and produce side effects (e.g., classification accuracy drop, slower energy-inefficient…

Machine Learning · Computer Science 2021-09-28 David Macêdo , Tsang Ing Ren , Cleber Zanchettin , Adriano L. I. Oliveira , Teresa Ludermir

In this paper, the viscoelastic properties of wood under water-saturated conditions are investigated from 10\degree C to 135\degree C using the WAVET* apparatus. Experiments were performed via harmonic tests at two frequencies (0.1 Hz and 1…

Classical Physics · Physics 2009-06-22 Vincent Placet , Joëlle Passard , Patrick Perré

This paper proposes an adaptive random experiment design (ARED) algorithm that can be applied to optimize the multiple factors and levels experiments. The algorithm takes real-time model error as the adaptive condition, and outputs a model…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Zhou Qiao , Duan Xiaochang , Tang Wei