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Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

最优化与控制 · 数学 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

The Quantum Approximate Optimization Algorithm (QAOA) is a prominent quantum algorithm designed to find approximate solutions to combinatorial optimization problems, which are challenging for classical computers. In the current era, where…

Transient simulation of linear and nonlinear circuits remains an important task in modern EDA tools. At present, SPICE-like simulators face challenges in parallelization, nonlinear convergence and linear efficiency, especially when applied…

计算工程、金融与科学 · 计算机科学 2025-11-21 Zijian Zhang , Yuanmiao Lin , Xuesong Chen , Shuting Cai

The decoding of brain signals recorded via, e.g., an electroencephalogram, using machine learning is key to brain-computer interfaces (BCIs). Stimulation parameters or other experimental settings of the BCI protocol typically are chosen…

神经元与认知 · 定量生物学 2021-09-14 Jan Sosulski , David Hübner , Aaron Klein , Michael Tangermann

Sparse principal component analysis (PCA), an important variant of PCA, attempts to find sparse loading vectors when conducting dimension reduction. This paper considers the nonsmooth Riemannian optimization problem associated with the…

最优化与控制 · 数学 2021-09-03 Wen Huang , Ke Wei

The exponential increase in complex IPs within modern SoCs, driven by Moore's Law, has created a pressing need for fast and accurate hardware-software power-performance analysis. Traditional performance simulators (such as cycle accurate…

硬件体系结构 · 计算机科学 2026-03-23 Avery Johnson , Mohammad Majharul Islam , Riad Akram , Abdullah Muzahid

We propose a novel Bayesian optimization (BO) procedure aimed at identifying the ``profile optima'' of a deterministic black-box computer simulation that has a single control parameter and multiple nuisance parameters. The profile optima…

统计方法学 · 统计学 2025-12-30 Courtney Kyger , James Fernandez , John A. Grunenwald , James Braun , Annie Booth

Sparse Principal Component Analysis (Sparse PCA) is a pivotal tool in data analysis and dimensionality reduction. However, Sparse PCA is a challenging problem in both theory and practice: it is known to be NP-hard and current exact methods…

机器学习 · 计算机科学 2025-03-06 Alberto Del Pia , Dekun Zhou , Yinglun Zhu

In recent years, leveraging parallel and distributed computational resources has become essential to solve problems of high computational cost. Bayesian optimization (BO) has shown attractive results in those expensive-to-evaluate problems…

机器学习 · 统计学 2020-06-25 Masahiro Nomura

We present a Pseudo-Transient Topology Optimization (PeTTO) approach that can leverage graphics processing units (GPUs) to efficiently solve single-material and multi-material topology optimization problems. By integrating PeTTO with phase…

数值分析 · 数学 2025-09-10 Mingyuan Yang , Qian Yu , Chao Yang

In the field of unsupervised feature selection, sparse principal component analysis (SPCA) methods have attracted more and more attention recently. Compared to spectral-based methods, SPCA methods don't rely on the construction of a…

计算机视觉与模式识别 · 计算机科学 2023-09-13 Junjing Zheng , Xinyu Zhang , Yongxiang Liu , Weidong Jiang , Kai Huo , Li Liu

Electromagnetic field simulation is central to designing, optimizing, and validating photonic devices and circuits. However, costly computation associated with numerical simulation poses a significant bottleneck, hindering scalability and…

机器学习 · 计算机科学 2024-11-07 Hanqing Zhu , Wenyan Cong , Guojin Chen , Shupeng Ning , Ray T. Chen , Jiaqi Gu , David Z. Pan

Principal component analysis (PCA) is a statistical technique commonly used in multivariate data analysis. However, PCA can be difficult to interpret and explain since the principal components (PCs) are linear combinations of the original…

数学软件 · 计算机科学 2013-12-24 W. Liu , H. Zhang , D. Tao , Y. Wang , K. Lu

A high fidelity fluid-structure interaction simulation may require many days to run, on hundreds of cores. This poses a serious burden, both in terms of time and economic considerations, when repetitions of such simulations may be required…

计算工程、金融与科学 · 计算机科学 2021-04-12 Wensi Wu , Christophe Bonneville , Christopher J. Earls

We propose a new procedure named PASOA, for Bayesian experimental design, that performs sequential design optimization by simultaneously providing accurate estimates of successive posterior distributions for parameter inference. The…

机器学习 · 统计学 2024-10-16 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

Bandit methods for black-box optimisation, such as Bayesian optimisation, are used in a variety of applications including hyper-parameter tuning and experiment design. Recently, \emph{multi-fidelity} methods have garnered considerable…

机器学习 · 统计学 2017-03-21 Kirthevasan Kandasamy , Gautam Dasarathy , Jeff Schneider , Barnabas Poczos

Until high-fidelity quantum computers with a large number of qubits become widely available, classical simulation remains a vital tool for algorithm design, tuning, and validation. We present a simulator for the Quantum Approximate…

量子物理 · 物理学 2023-11-14 Danylo Lykov , Ruslan Shaydulin , Yue Sun , Yuri Alexeev , Marco Pistoia

Probabilistic machine learning enabled by the Bayesian formulation has recently gained significant attention in the domain of automated reasoning and decision-making. While impressive strides have been made recently to scale up the…

新兴技术 · 计算机科学 2020-04-22 Kezhou Yang , Akul Malhotra , Sen Lu , Abhronil Sengupta

We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial differential equation (PDE) constrained optimization. This…

最优化与控制 · 数学 2020-05-28 Oana Marin , Emil Constantinescu , Barry Smith

Sparse Gaussian Processes are a key component of high-throughput Bayesian optimisation (BO) loops -- an increasingly common setting where evaluation budgets are large and highly parallelised. By using representative subsets of the available…

机器学习 · 计算机科学 2022-07-14 Henry B. Moss , Sebastian W. Ober , Victor Picheny