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We study thermal insulating of a bounded body $\Omega\subset \mathbb{R}^n$. Under a prescribed heat source $f\geq 0$, we consider a model of heat transfer between $\Omega$ and the environment determined by convection; this corresponds,…

Analysis of PDEs · Mathematics 2020-08-06 Francesco Della Pietra , Carlo Nitsch , Riccardo Scala , Cristina Trombetti

The new method is considered for identifying the perfect (optimal) scenario of climate engineering operations based on the optimal control theory. The application of this approach is demonstrated using zero-dimensional energy-balance…

Atmospheric and Oceanic Physics · Physics 2017-09-19 Sergei Soldatenko , Rafael Yusupov

We consider optimal experimental design (OED) problems in selecting the most informative observation sensors to estimate model parameters in a Bayesian framework. Such problems are computationally prohibitive when the…

Computational Engineering, Finance, and Science · Computer Science 2024-09-10 Jinwoo Go , Peng Chen

Bayesian Optimal Experimental Design (BOED) is a powerful tool to reduce the cost of running a sequence of experiments. When based on the Expected Information Gain (EIG), design optimization corresponds to the maximization of some…

Machine Learning · Statistics 2025-03-14 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

In this paper, we introduce a density-based topology optimization framework to design porous electrodes for maximum energy storage. We simulate the full cell with a model that incorporates electronic potential, ionic potential, and…

This work deals with accuracy analysis of dynamical systems interconnected in a cascade structure. For a cascade network there are a number of experimental settings for which the dynamic systems within the network can be identified. We…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Eduardo Mapurunga , Alexandre Sanfelice Bazanella

The understanding of methane emission and methane absorption plays a central role both in the atmosphere and on the surface of the Earth. Several important ecological processes, e.g., ebullition of methane and its natural microergodicity…

Statistics Theory · Mathematics 2015-07-21 Sándor Baran , Kinga Sikolya , Milan Stehlík

We present AutoOED, an Optimal Experiment Design platform powered with automated machine learning to accelerate the discovery of optimal solutions. The platform solves multi-objective optimization problems in time- and data-efficient manner…

Artificial Intelligence · Computer Science 2021-04-14 Yunsheng Tian , Mina Konaković Luković , Timothy Erps , Michael Foshey , Wojciech Matusik

We describe the R package MOODE and demonstrate its use to find multi-objective optimal experimental designs. Multi-Objective Optimal Design of Experiments (MOODE) targets the experimental objectives directly, ensuring that the full set of…

Computation · Statistics 2024-12-24 Vasiliki Koutra , Olga Egorova , Steven G. Gilmour , Luzia A. Trinca

Sensors in buildings are used for a wide variety of applications such as monitoring air quality, contaminants, indoor temperature, and relative humidity. These are used for accessing and ensuring indoor air quality, and also for ensuring…

Systems and Control · Computer Science 2019-06-17 Himanshu Sharma , Umesh Vaidya , Baskar Ganapathysubramanian

When deploying a trained machine learning model in the real world, it is inevitable to receive inputs from out-of-distribution (OOD) sources. For instance, in continual learning settings, it is common to encounter OOD samples due to the…

Machine Learning · Computer Science 2024-01-23 Chuanwen Feng , Wenlong Chen , Ao Ke , Yilong Ren , Xike Xie , S. Kevin Zhou

A method for density-based topology optimization of heat exchangers with two fluids is proposed. The goal of the optimization process is to maximize the heat transfer from one fluid to the other, under maximum pressure drop constraints for…

Battery management systems may rely on mathematical models to provide higher performance than standard charging protocols. Electrochemical models allow us to capture the phenomena occurring inside a lithium-ion cell and therefore, could be…

Computational Engineering, Finance, and Science · Computer Science 2020-05-12 Andrea Pozzi , Xiangzhong Xie , Davide M Raimondo , René Schenkendorf

Optimal designs can help experimenters obtain more accurate parameter estimates with reduced experimental time and cost. In this paper, we characterize the Expected Weighted (EW) D-optimal designs as robust designs against unknown parameter…

Methodology · Statistics 2026-04-08 Siting Lin , Yifei Huang , Jie Yang

This work presents an alternative view on the numerical simulation of diffusion processes applied to the heat and moisture transfer through porous building materials. Traditionally, by using the finite-difference approach, the…

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

Advanced battery management systems rely on mathematical models to guarantee optimal functioning of Lithium-ion batteries. The Pseudo-Two Dimensional (P2D) model is a very detailed electrochemical model suitable for simulations. On the…

Systems and Control · Computer Science 2019-10-01 Andrea Pozzi , Gabriele Ciaramella , Stefan Volkwein , Davide M. Raimondo

As mechanical systems become more complex and technological advances accelerate, the traditional reliance on heritage designs for engineering endeavors is being diminished in its effectiveness. Considering the dynamic nature of the design…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Saeid Bayat , Nastaran Shahmansouri , Satya RT Peddada , Alex Tessier , Adrian Butscher , James T Allison

Out-of-distribution (OOD) detection is a critical requirement for the deployment of deep neural networks. This paper introduces the HEAT model, a new post-hoc OOD detection method estimating the density of in-distribution (ID) samples using…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Marc Lafon , Elias Ramzi , Clément Rambour , Nicolas Thome

The design of multiple experiments is commonly undertaken via suboptimal strategies, such as batch (open-loop) design that omits feedback or greedy (myopic) design that does not account for future effects. This paper introduces new…

Methodology · Statistics 2016-04-29 Xun Huan , Youssef M. Marzouk

Given n experiment subjects with potentially heterogeneous covariates and two possible treatments, namely active treatment and control, this paper addresses the fundamental question of determining the optimal accuracy in estimating the…

Machine Learning · Statistics 2024-11-13 Jiachun Li , David Simchi-Levi , Yunxiao Zhao
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