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Active multi-fidelity surrogate modeling is developed for multi-condition airfoil shape optimization to reduce high-fidelity CFD cost while retaining RANS-level accuracy. The framework couples a low-fidelity-informed Gaussian process…

This paper presents an enhanced adaptive random Fourier features (ARFF) training algorithm for shallow neural networks, building upon the work introduced in "Adaptive Random Fourier Features with Metropolis Sampling", Kammonen et al.,…

机器学习 · 计算机科学 2025-05-01 Aku Kammonen , Anamika Pandey , Erik von Schwerin , Raúl Tempone

This work aims to introduce a heuristic timestep-adaptive algorithm for Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems where the flow is dominated by the pressure. In such scenarios, many time-adaptive…

数值分析 · 数学 2024-07-02 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

The distributed adaptive signal fusion (DASF) framework allows to solve spatial filtering optimization problems in a distributed and adaptive fashion over a bandwidth-constrained wireless sensor network. The DASF algorithm requires each…

信号处理 · 电气工程与系统科学 2025-05-02 Cem Ates Musluoglu , Alexander Bertrand

We develop a trust-region method for efficiently minimizing the sum of a smooth function, a nonsmooth convex function, and the composition of a finite-valued support function with a smooth function. Optimization problems with this structure…

最优化与控制 · 数学 2026-04-09 Drew P. Kouri

The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning often yields suboptimal results. To overcome this…

声音 · 计算机科学 2025-06-27 Maxime Leiber , Yosra Marnissi , Axel Barrau , Sylvain Meignen , Laurent Massoulié

In this note, we present a derivative-free trust-region (TR) algorithm for reliability based optimization (RBO) problems. The proposed algorithm consists of solving a set of subproblems, in which simple surrogate models of the reliability…

统计计算 · 统计学 2016-10-04 Tian Gao , Jinglai Li

Multi-fidelity Reinforcement Learning (RL) frameworks efficiently utilize computational resources by integrating analysis models of varying accuracy and costs. The prevailing methodologies, characterized by transfer learning, human-inspired…

机器学习 · 计算机科学 2025-03-25 Akash Agrawal , Christopher McComb

A vital stage in the mathematical modelling of real-world systems is to calibrate a model's parameters to observed data. Likelihood-free parameter inference methods, such as Approximate Bayesian Computation, build Monte Carlo samples of the…

统计计算 · 统计学 2021-12-23 Thomas P Prescott , Ruth E Baker

Estimating failure probability is a key task in the field of uncertainty quantification. In this domain, importance sampling has proven to be an effective estimation strategy; however, its efficiency heavily depends on the choice of the…

统计计算 · 统计学 2025-04-01 Nuojin Cheng , Alireza Doostan

Federated learning (FL) offers a solution to train a global machine learning model while still maintaining data privacy, without needing access to data stored locally at the clients. However, FL suffers performance degradation when client…

机器学习 · 计算机科学 2021-08-13 Zihan Chen , Kai Fong Ernest Chong , Tony Q. S. Quek

Models that balance accuracy against computational costs are advantageous when designing dynamic systems with optimization studies, as several hundred predictive function evaluations might be necessary to identify the optimal solution. The…

系统与控制 · 电气工程与系统科学 2023-08-16 Athul Krishna Sundarrajan , Daniel R. Herber

Despite the increased computational resources, the simulation-based design optimization (SBDO) procedure can be very expensive from a computational viewpoint, especially if high-fidelity solvers are required. Multi-fidelity metamodels have…

最优化与控制 · 数学 2021-07-30 Simone Ficini , Umberto Iemma , Riccardo Pellegrini , Andrea Serani , Matteo Diez

This work presents the first projection-free algorithm to solve stochastic bi-level optimization problems, where the objective function depends on the solution of another stochastic optimization problem. The proposed $\textbf{S}$tochastic…

最优化与控制 · 数学 2023-02-08 Zeeshan Akhtar , Amrit Singh Bedi , Srujan Teja Thomdapu , Ketan Rajawat

One of the major challenges for low-rank multi-fidelity (MF) approaches is the assumption that low-fidelity (LF) and high-fidelity (HF) models admit "similar" low-rank kernel representations. Low-rank MF methods have traditionally attempted…

数值分析 · 数学 2021-01-07 Mani Razi , Robert M. Kirby , Akil Narayan

This work proposes a training algorithm based on adaptive random Fourier features (ARFF) with Metropolis sampling and resampling \cite{kammonen2024adaptiverandomfourierfeatures} for learning drift and diffusion components of stochastic…

机器学习 · 计算机科学 2025-07-22 Owen Douglas , Aku Kammonen , Anamika Pandey , Raúl Tempone

Global optimization of expensive functions has important applications in physical and computer experiments. It is a challenging problem to develop efficient optimization scheme, because each function evaluation can be costly and the…

机器学习 · 统计学 2020-01-22 Ray-Bing Chen , Yuan Wang , C. F. Jeff Wu

Supervised fine-tuning (SFT) is fundamental to adapting large language models, yet training on complete datasets incurs prohibitive costs with diminishing returns. Existing data selection methods suffer from severe domain specificity:…

计算与语言 · 计算机科学 2026-02-02 Junyou Su , He Zhu , Xiao Luo , Liyu Zhang , Hong-Yu Zhou , Yun Chen , Peng Li , Yang Liu , Guanhua Chen

This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. While conventional techniques for large-scale Bayesian…

机器学习 · 统计学 2024-05-21 Sohail Reddy , Hillary Fairbanks

Differentiable Filters, as recursive Bayesian estimators, possess the ability to learn complex dynamics by deriving state transition and measurement models exclusively from data. This data-driven approach eliminates the reliance on explicit…

机器人学 · 计算机科学 2023-11-14 Xiao Liu , Yifan Zhou , Shuhei Ikemoto , Heni Ben Amor