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We consider the problem of finite-horizon sequential experimental design to solve multi-objective optimization (MOO) of expensive black-box objective functions. This problem arises in many real-world applications, including materials…

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

最优化与控制 · 数学 2024-06-11 Mohsen Amidzadeh

Many recent studies on first-order methods (FOMs) focus on \emph{composite non-convex non-smooth} optimization with linear and/or nonlinear function constraints. Upper (or worst-case) complexity bounds have been established for these…

最优化与控制 · 数学 2023-07-18 Wei Liu , Qihang Lin , Yangyang Xu

It is common in pose graph optimization (PGO) algorithms to assume that noise in the translations and rotations of relative pose measurements is uncorrelated. However, existing work shows that in practice these measurements can be highly…

最优化与控制 · 数学 2025-07-01 William D. Warke , J. Humberto Ramos , Prashant Ganesh , Kevin M. Brink , Matthew T. Hale

Radiotherapy treatment planning currently requires many trail-and-error iterations between the planner and treatment planning system, as well as between the planner and physician for discussion/consultation. The physician's preferences for…

医学物理 · 物理学 2019-08-01 Dan Nguyen , Azar Sadeghnejad Barkousaraie , Chenyang Shen , Xun Jia , Steve Jiang

In this letter, we propose a peak-to-average power ratio (PAPR) efficient non-coherent orthogonal frequency division multiplexing with index modulation (OFDM-IM). It is shown that the non-coherent OFDM-IM design, which minimizes PAPR, is a…

信号处理 · 电气工程与系统科学 2019-10-11 Sarath Gopi , Sheetal Kalyani

Bayesian Optimization (BO) is a foundational strategy in the field of engineering design optimization for efficiently handling black-box functions with many constraints and expensive evaluations. This paper introduces a fast and accurate BO…

计算工程、金融与科学 · 计算机科学 2024-04-09 Rosen , Yu , Cyril Picard , Faez Ahmed

Focus of this work is solving a non-smooth constraint minimization problem by a primal-dual splitting algorithm involving proximity operators. The problem is penalized by the Bregman divergence associated with the non-smooth total variation…

数值分析 · 数学 2020-02-25 Erdem Altuntac

Bayesian Optimization (BO) is a common solution to search optimal hyperparameters based on sample observations of a machine learning model. Existing BO algorithms could converge slowly even collapse when the potential observation noise…

计算机视觉与模式识别 · 计算机科学 2022-10-10 Lei Cui , Yangguang Li , Xin Lu , Dong An , Fenggang Liu

The Radiotherapy treatment planning optimization process based on a quasi-Newton algorithm with an object function containing dose-volume constraints is not guaranteed to converge when the dose value in the dose-volume constraint is a…

经典分析与常微分方程 · 数学 2008-12-02 I. Hoveijn

We consider a real-world chemotherapy scheduling template design problem, where we cluster patient types into groups and find a representative time-slot duration for each group to accommodate all patient types assigned to that group, aiming…

最优化与控制 · 数学 2025-10-14 Qing Zhu , Xian Yu , Yu-Li Huang

Faster-than-Nyquist non-orthogonal frequency-division multiplexing (FTN-NOFDM) is robust against the steep frequency roll-off by saving signal bandwidth. Among the FTN-NOFDM techniques, the non-orthogonal matrix precoding (NOM-p) based FTN…

信号处理 · 电气工程与系统科学 2023-12-07 Peiji Song , Zhouyi Hu , Yizhan Dai , Yuan Liu , Chao Gao , Chun-Kit Chan

Optical resolution photoacoustic microscopy (OR-PAM) leverages optical focusing and acoustic detection for microscopic optical absorption imaging. Intrinsically it owns high optical lateral resolution and poor acoustic axial resolution.…

信号处理 · 电气工程与系统科学 2023-09-19 Yu-Hsiang Yu , Meng-Lin Li

Pose graph optimization (PGO) is a well-known technique for solving the pose-based simultaneous localization and mapping (SLAM) problem. In this paper, we represent the rotation and translation by a unit quaternion and a three-dimensional…

最优化与控制 · 数学 2024-08-14 Xin Chen , Chunfeng Cui , Deren Han , Liqun Qi

Purpose: Intensity-modulated proton therapy (IMPT) offers precise tumor coverage while sparing organs at risk (OARs) in head and neck (H&N) cancer. However, its sensitivity to anatomical changes requires frequent adaptation through online…

Recent advances in computationally efficient non-myopic Bayesian optimization (BO) improve query efficiency over traditional myopic methods like expected improvement while only modestly increasing computational cost. These advances have…

机器学习 · 统计学 2021-12-07 Yunxiang Zhang , Xiangyu Zhang , Peter I. Frazier

Probabilistic evaluation improves the trade-off between target coverage and OAR sparing in IMPT but remains computationally demanding. This study proposes sparse probabilistic evaluation (SPE), a computationally efficient approach…

This paper presents a Fourier integral pseudospectral (FIPS) method for a general class of nonlinear, periodic optimal control (OC) problems with equality and/or inequality constraints and sufficiently smooth solutions. In this scheme, the…

最优化与控制 · 数学 2023-11-14 Kareem T. Elgindy

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

机器学习 · 计算机科学 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

Bayesian Optimization (BO) is a well-studied hyperparameter tuning technique that is more efficient than grid search for high-cost, high-parameter machine learning problems. Echocardiography is a ubiquitous modality for evaluating heart…

图像与视频处理 · 电气工程与系统科学 2022-11-21 Son-Tung Tran , Joshua V. Stough , Xiaoyan Zhang , Christopher M. Haggerty