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While surface-hopping has emerged as a powerful method to simulate non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in the algorithm somewhat reduces its…

Chemical Physics · Physics 2024-01-17 Lucien Dupuy , Anton Rikus , Neepa T. Maitra

The purpose of this paper is to present a theoretic and numerical study of utilizing squeezing and phase shift in coherent feedback control of linear quantum optical systems. A quadrature representation with built-in phase shifters is…

Quantum Physics · Physics 2012-06-19 Guofeng Zhang , Heung Wing Joseph Lee , Bo Huang , Hu Zhang

Relief algorithm is a feature selection algorithm used in binary classification proposed by Kira and Rendell, and its computational complexity remarkable increases with both the scale of samples and the number of features. In order to…

Quantum Physics · Physics 2024-05-14 Wen-Jie Liu , Pei-Pei Gao , Wen-Bin Yu , Zhi-Guo Qu , Ching-Nung Yang

The frequent elements problem, a key component in demanding stream-data analytics, involves selecting elements whose occurrence exceeds a user-specified threshold. Fast, memory-efficient $\epsilon$-approximate synopsis algorithms select all…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-04 Victor Jarlow , Charalampos Stylianopoulos , Marina Papatriantafilou

We propose and evaluate a quantum-inspired algorithm for solving Quadratic Unconstrained Binary Optimization (QUBO) problems, which are mathematically equivalent to finding ground states of Ising spin-glass Hamiltonians. The algorithm…

Artificial Intelligence · Computer Science 2025-10-24 Max B. Zhao , Fei Li

Packing cost accounts for a large part of the e-commerce logistics cost. Mining the patterns of customer orders and designing suitable packing bins help to reduce operating cost. In the classical bin packing problem, a given set of…

Data Structures and Algorithms · Computer Science 2018-12-10 Xinhang Zhang , Haoyuan Hu , Longfei Wang , Zhijun Sun , Ying Zhang , Kunpeng Han , Yinghui Xu

We present two sampled quasi-Newton methods (sampled LBFGS and sampled LSR1) for solving empirical risk minimization problems that arise in machine learning. Contrary to the classical variants of these methods that sequentially build…

Optimization and Control · Mathematics 2021-07-29 Albert S. Berahas , Majid Jahani , Peter Richtárik , Martin Takáč

We propose a new stochastic proximal quasi-Newton method for minimizing the sum of two convex functions in the particular context that one of the functions is the average of a large number of smooth functions and the other one is nonsmooth.…

Optimization and Control · Mathematics 2024-12-24 Yongcun Song , Zimeng Wang , Xiaoming Yuan , Hangrui Yue

Reinforcement Learning (RL) algorithms allow artificial agents to improve their action selections so as to increase rewarding experiences in their environments. Deep Reinforcement Learning algorithms require solving a nonconvex and…

Machine Learning · Computer Science 2019-04-18 Jacob Rafati , Roummel F. Marcia

Recently Rubinfeld et al. (ICS 2011, pp. 223--238) proposed a new model of sublinear algorithms called \emph{local computation algorithms}. In this model, a computation problem $F$ may have more than one legal solution and each of them…

Data Structures and Algorithms · Computer Science 2011-12-01 Noga Alon , Ronitt Rubinfeld , Shai Vardi , Ning Xie

Last-mile delivery in the logistics chain contributes to emissions and increased congestion. Crowd-shipping is a sustainable and low-cost alternative to traditional delivery, but relies heavily on the availability of occasional couriers. In…

Optimization and Control · Mathematics 2023-07-04 Patrick Stokkink , Nikolas Geroliminis

For dealing with the equal sphere packing problem, we propose a serial symmetrical relocation algorithm, which is effective in terms of the quality of the numerical results. We have densely packed up to 200 equal spheres in spherical…

Discrete Mathematics · Computer Science 2012-02-21 WenQi Huang , Liang Yu

Communication bottleneck has been identified as a significant issue in distributed optimization of large-scale learning models. Recently, several approaches to mitigate this problem have been proposed, including different forms of gradient…

Machine Learning · Statistics 2019-11-05 Debraj Basu , Deepesh Data , Can Karakus , Suhas Diggavi

The utility of solving the Fermi-Hubbard model has been estimated in the billions of dollars. Digital quantum computers can in principle address this task, but have so far been limited to quasi one-dimensional models. This is because of…

In this work, we study the square min-sum bin packing problem (SMSBPP), where a list of square items has to be packed into indexed square bins of dimensions $1 \times 1$ with no overlap between the areas of the items. The bins are indexed…

Data Structures and Algorithms · Computer Science 2023-07-14 Rachel Vanucchi Saraiva , Rafael C. S. Schouery

Recent works have shown that quantum computers can polynomially speed up certain SAT-solving algorithms even when the number of available qubits is significantly smaller than the number of variables. Here we generalise this approach. We…

Quantum Physics · Physics 2020-02-19 Yimin Ge , Vedran Dunjko

We consider the chance-constrained binary knapsack problem (CKP), where the item weights are independent and normally distributed. We introduce a continuous relaxation for the CKP, represented as a non-convex optimization problem, which we…

Optimization and Control · Mathematics 2024-03-12 Junyoung Kim , Kyungsik Lee

The problem of minimizing an objective that can be written as the sum of a set of $n$ smooth and strongly convex functions is considered. The Incremental Quasi-Newton (IQN) method proposed here belongs to the family of stochastic and…

Optimization and Control · Mathematics 2017-03-29 Aryan Mokhtari , Mark Eisen , Alejandro Ribeiro

Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geometry. In this work we present a fast and accurate framework…

Numerical Analysis · Mathematics 2016-09-22 Ludvig af Klinteberg , Anna-Karin Tornberg

In this article, we introduce and study the Quadratic Bin Packing Problem (QBPP), which generalizes the classical bin packing problem by introducing a fixed cost for each used bin and a pairwise cost (or profit) incurred whenever two items…

Optimization and Control · Mathematics 2026-04-06 Vítor Gomes Chagas , Alberto Locatelli , Flávio Keidi Miyazawa , Manuel Iori