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This thesis develops signal-processing algorithms and implementation schemes under constraints of minimal parallelism and memory space, with the goal of improving energy efficiency of low-power computing hardware. We propose (i) a…

信号处理 · 电气工程与系统科学 2025-12-30 Sergey Salishev

We present a quasi-Newton method for unconstrained stochastic optimization. Most existing literature on this topic assumes a setting of stochastic optimization in which a finite sum of component functions is a reasonable approximation of an…

最优化与控制 · 数学 2024-09-04 Matt Menickelly , Stefan M. Wild , Miaolan Xie

We introduce QDsim, a python package tailored for the rapid generation of charge stability diagrams in large-scale quantum dot devices, extending beyond traditional double or triple dots. QDsim is founded on the constant interaction model…

介观与纳米尺度物理 · 物理学 2025-01-29 Valentina Gualtieri , Charles Renshaw-Whitman , Vinicius Hernandes , Eliska Greplova

The Stochastic Approximation EM (SAEM) algorithm, a variant stochastic approximation of EM, is a versatile tool for inference in incomplete data models. In this paper, we review the fundamental EM algorithm and then focus especially on the…

统计方法学 · 统计学 2018-11-30 Vahid Tadayon

We present ATC, a C++ library for advanced Tucker-based lossy compression of dense multidimensional numerical data in a shared-memory parallel setting, based on the sequentially truncated higher-order singular value decomposition (ST-HOSVD)…

数学软件 · 计算机科学 2024-07-02 Wouter Baert , Nick Vannieuwenhoven

nimCSO is a high-performance tool implementing several methods for selecting components (data dimensions) in compositional datasets, which optimize the data availability and density for applications such as machine learning. Making said…

材料科学 · 物理学 2024-12-17 Adam M. Krajewski , Arindam Debnath , Wesley F. Reinhart , Allison M. Beese , Zi-Kui Liu

In this paper, a new python package (optipoly) is described that solves box-constrained optimization problem over multivariate polynomial cost functions. The principle of the algorithm is described before its performance is compared to…

计算工程、金融与科学 · 计算机科学 2025-03-27 Mazen Alamir

Two algorithms are proposed, analyzed, and tested for solving continuous optimization problems with nonlinear equality constraints. Each is an extension of a stochastic momentum-based method from the unconstrained setting to the setting of…

最优化与控制 · 数学 2026-01-21 Qi Wang , Christian Piermarini , Yunlang Zhu , Frank E. Curtis

Recent works in dataset distillation seek to minimize training expenses by generating a condensed synthetic dataset that encapsulates the information present in a larger real dataset. These approaches ultimately aim to attain test accuracy…

计算机视觉与模式识别 · 计算机科学 2025-03-25 Samir Khaki , Ahmad Sajedi , Kai Wang , Lucy Z. Liu , Yuri A. Lawryshyn , Konstantinos N. Plataniotis

We consider the problem of minimizing a continuous function given quantum access to a stochastic gradient oracle. We provide two new methods for the special case of minimizing a Lipschitz convex function. Each method obtains a dimension…

量子物理 · 物理学 2024-07-26 Aaron Sidford , Chenyi Zhang

Particle swam optimization (PSO) is a popular stochastic optimization method that has found wide applications in diverse fields. However, PSO suffers from high computational complexity and slow convergence speed. High computational…

神经与进化计算 · 计算机科学 2014-01-06 Muhammad Saqib Sohail , Muhammad Omer Bin Saeed , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

We present the TRIQS/DFTTools package, an application based on the TRIQS library that connects this toolbox to realistic materials calculations based on density functional theory (DFT). In particular, TRIQS/DFTTools together with TRIQS…

We introduce a new approach to develop stochastic optimization algorithms for a class of stochastic composite and possibly nonconvex optimization problems. The main idea is to combine two stochastic estimators to create a new hybrid one. We…

最优化与控制 · 数学 2020-05-05 Quoc Tran-Dinh , Nhan H. Pham , Dzung T. Phan , Lam M. Nguyen

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

数据结构与算法 · 计算机科学 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

The advent of quantum algorithms has initiated a discourse on the potential for quantum speedups for optimization problems. However, several factors still hinder a practical realization of the potential benefits. These include the lack of…

Stochastic compositional optimization generalizes classic (non-compositional) stochastic optimization to the minimization of compositions of functions. Each composition may introduce an additional expectation. The series of expectations may…

最优化与控制 · 数学 2021-09-29 Tianyi Chen , Yuejiao Sun , Wotao Yin

We revisit the so-called compressed oracle technique, introduced by Zhandry for analyzing quantum algorithms in the quantum random oracle model (QROM). To start off with, we offer a concise exposition of the technique, which easily extends…

量子物理 · 物理学 2021-07-12 Kai-Min Chung , Serge Fehr , Yu-Hsuan Huang , Tai-Ning Liao

The famous least squares Monte Carlo (LSM) algorithm combines linear least square regression with Monte Carlo simulation to approximately solve problems in stochastic optimal stopping theory. In this work, we propose a quantum LSM based on…

量子物理 · 物理学 2023-07-28 João F. Doriguello , Alessandro Luongo , Jinge Bao , Patrick Rebentrost , Miklos Santha

Sum-of-squares (SOS) optimization provides a computationally tractable framework for certifying polynomial nonnegativity. If the considered problem is convex, the SOS problem can be transcribed into and solved by semi-definite programs.…

最优化与控制 · 数学 2026-04-14 Jan Olucak , Torbjørn Cunis

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

机器人学 · 计算机科学 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao