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Quantum Annealing (QA) is a quantum computing paradigm for solving combinatorial optimization problems formulated as Quadratic Unconstrained Binary Optimization (QUBO) problems. An essential step in QA is minor embedding, which maps the…

量子物理 · 物理学 2026-03-03 Riccardo Nembrini , Maurizio Ferrari Dacrema , Paolo Cremonesi

We study quantum computing algorithms for solving certain constrained resource allocation problems we coin as Mission Covering Optimization (MCO). We compare formulations of constrained optimization problems using Quantum Annealing…

量子物理 · 物理学 2022-05-05 Massimiliano Cutugno , Annarita Giani , Paul M. Alsing , Laura Wessing , Austars Schnore

We consider fitting a bivariate spline regression model to data using a weighted least-squares cost function, with weights that sum to one to form a discrete probability distribution. By applying the principle of maximum entropy, the weight…

统计方法学 · 统计学 2025-08-05 Pierluigi Amodio , Luigi Brugnano , Felice Iavernaro

Quantum computing offers an alternative paradigm for addressing combinatorial optimization problems compared to classical computing. Despite recent hardware improvements, the execution of empirical quantum optimization experiments at scales…

In quantum embedding theories, a quantum many-body system is divided into localized clusters of sites which are treated with an accurate `high-level' theory and glued together self-consistently by a less accurate `low-level' theory at the…

最优化与控制 · 数学 2021-06-08 Yuehaw Khoo , Michael Lindsey

Quantum optimization holds promise for addressing classically intractable combinatorial problems, yet a standardized framework for benchmarking its performance, particularly in terms of solution quality, computational speed, and scalability…

量子物理 · 物理学 2025-03-20 Monit Sharma , Hoong Chuin Lau

Quadratic programming (QP) is a well-studied fundamental NP-hard optimization problem which optimizes a quadratic objective over a set of linear constraints. In this paper, we reformulate QPs as a mixed-integer linear problem (MILP). This…

最优化与控制 · 数学 2018-07-17 Wei Xia , Juan Vera , Luis F. Zuluaga

With advances in scientific computing, computer experiments are increasingly used for optimizing complex systems. However, for modern applications, e.g., the optimization of nuclear physics detectors, each experiment run can require…

机器学习 · 统计学 2025-08-08 Hwanwoo Kim , Simon Mak , Ann-Kathrin Schuetz , Alan Poon

This paper addresses the challenge of scaling quantum computing by employing distributed quantum algorithms across multiple processors. We propose a novel circuit partitioning method that leverages graph partitioning to optimize both qubit…

量子物理 · 物理学 2025-01-28 Eneet Kaur , Hassan Shapourian , Jiapeng Zhao , Michael Kilzer , Ramana Kompella , Reza Nejabati

We study constructive interference based block-level precoding (CI-BLP) in the downlink of multi-user multiple-input single-output (MU-MISO) systems. Specifically, our aim is to extend the analysis on CI-BLP to the case where the considered…

信息论 · 计算机科学 2023-08-31 Yiran Wang , Yunsi Wen , Ang Li , Xiaoyan Hu , Christos Masouros

Integer programming (IP) is an NP-hard combinatorial optimization problem that is widely used to represent a diverse set of real-world problems spanning multiple fields, such as finance, engineering, logistics, and operations research. It…

量子物理 · 物理学 2025-08-20 Kapil Goswami , Peter Schmelcher , Rick Mukherjee

Linear regression is a widely used technique to fit linear models and finds widespread applications across different areas such as machine learning and statistics. In most real-world scenarios, however, linear regression problems are often…

量子物理 · 物理学 2023-05-02 Shantanav Chakraborty , Aditya Morolia , Anurudh Peduri

Restricted Boltzmann machines (RBMs) are powerful machine learning models, but learning and some kinds of inference in the model require sampling-based approximations, which, in classical digital computers, are implemented using expensive…

机器学习 · 统计学 2014-10-27 Vincent Dumoulin , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

The classical simulation of quantum algorithms is a crucial tool for circuit development, testing, and validation. Although acceleration using GPUs significantly reduces simulation time, most high-performance simulators rely on…

The integration of mobile edge computing (MEC) and wireless power transfer (WPT) technologies has recently emerged as an effective solution for extending battery life and increasing the computing power of wireless devices. In this paper, we…

网络与互联网体系结构 · 计算机科学 2020-02-25 Yuegui Chen , Suzhi Bi , Xian Li , Xiaohui Lin , Hui Wang

Over the years, computational imaging with accurate nonlinear physical models has garnered considerable interest due to its ability to achieve high-quality reconstructions. However, using such nonlinear models for reconstruction is…

最优化与控制 · 数学 2026-02-24 Tao Hong , Thanh-an Pham , Irad Yavneh , Michael Unser

The growing demand for solving large-scale, data-intensive linear and conic optimization problems, particularly in applications such as artificial intelligence and machine learning, has highlighted the limitations of classical interior…

Transformer-based large language models (LLMs) have achieved remarkable success as model sizes continue to grow, yet their deployment remains challenging due to significant computational and memory demands. Quantization has emerged as a…

机器学习 · 计算机科学 2024-11-26 Yu Zhang , Mingzi Wang , Lancheng Zou , Wulong Liu , Hui-Ling Zhen , Mingxuan Yuan , Bei Yu

By exploiting the correlation between the structure and the solution of Mixed-Integer Linear Programming (MILP), Machine Learning (ML) has become a promising method for solving large-scale MILP problems. Existing ML-based MILP solvers…

机器学习 · 计算机科学 2025-01-03 Yixuan Li , Can Chen , Jiajun Li , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

We consider the solution of complex symmetric shifted linear systems. Such systems arise in large-scale electronic structure simulations and there is a strong need for the fast solution of the systems. With the aim of solving the systems…

数值分析 · 数学 2009-02-17 T. Sogabe , T. Hoshi , S. -L. Zhang , T. Fujiwara