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This paper examines the nonconvex quadratically constrained quadratic programming (QCQP) problems using an iterative method. One of the existing approaches for solving nonconvex QCQP problems relaxes the rank one constraint on the unknown…

最优化与控制 · 数学 2016-09-12 Chuangchuang Sun , Ran Dai

This paper studies the limitations of the generic approaches to solving cryptographic problems in classical and quantum settings in various models. - In the classical generic group model (GGM), we find simple alternative proofs for the…

量子物理 · 物理学 2024-02-20 Minki Hhan

We present deterministic algorithms for the Hidden Subgroup Problem. The first algorithm, for abelian groups, achieves the same asymptotic worst-case query complexity as the optimal randomized algorithm, namely O($\sqrt{ n}\,$), where $n$…

数据结构与算法 · 计算机科学 2022-08-02 Ashwin Nayak

This paper proposes and analyzes two new policy learning methods: regularized policy gradient (RPG) and iterative policy optimization (IPO), for a class of discounted linear-quadratic control (LQC) problems over an infinite time horizon…

最优化与控制 · 数学 2025-10-08 Xin Guo , Xinyu Li , Renyuan Xu

We improve upon the running time for finding a point in a convex set given a separation oracle. In particular, given a separation oracle for a convex set $K\subset \mathbb{R}^n$ contained in a box of radius $R$, we show how to either find a…

数据结构与算法 · 计算机科学 2015-11-06 Yin Tat Lee , Aaron Sidford , Sam Chiu-wai Wong

This study introduces the Iterative Chainlet Partitioning (ICP) algorithm and its neural acceleration for solving the Traveling Salesman Problem with Drone (TSP-D). The proposed ICP algorithm decomposes a TSP-D solution into smaller…

神经与进化计算 · 计算机科学 2025-09-25 Jae Hyeok Lee , Minwoo Kim , Minjun Kim , Jinkyoo Park , Changhyun Kwon

We study quantum algorithms for several fundamental string problems, including Longest Common Substring, Lexicographically Minimal String Rotation, and Longest Square Substring. These problems have been widely studied in the stringology…

数据结构与算法 · 计算机科学 2021-10-22 Shyan Akmal , Ce Jin

In this work we propose an efficient parallelization of multiple-precision Taylor series method with variable stepsize and fixed order. For given level of accuracy the optimal variable stepsize determines higher order of the method than in…

There is a class of entropy-coding methods which do not substitute symbols by code words (such as Huffman coding), but operate on intervals or ranges. This class includes three prominent members: conventional arithmetic coding, range…

信息论 · 计算机科学 2025-07-04 Tilo Strutz , Nico Schreiber

We study the stochastic linear bandit problem with multiple arms over $T$ rounds, where the covariate dimension $d$ may exceed $T$, but each arm-specific parameter vector is $s$-sparse. We begin by analyzing the sequential estimation…

统计理论 · 数学 2025-05-26 Jingyu Liu , Yanglei Song

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

最优化与控制 · 数学 2020-03-24 Tao Xu , Jun He , Changjing Shang

Maintaining the pair similarity relationship among originally high-dimensional data into a low-dimensional binary space is a popular strategy to learn binary codes. One simiple and intutive method is to utilize two identical code matrices…

信息检索 · 计算机科学 2018-11-28 Xiaoshuang Shi , Fuyong Xing , Zizhao Zhang , Manish Sapkota , Zhenhua Guo , Lin Yang

For optimization problems with nonlinear constraints, linearly constrained Lagrangian (LCL) methods sequentially minimize a Lagrangian function subject to linearized constraints. These methods converge rapidly near a solution but may not be…

最优化与控制 · 数学 2007-05-23 Michael P. Friedlander , Michael A Saunders

In this paper we discuss a sequential algorithm for the computation of a minimum-time speed profile over a given path, under velocity, acceleration and jerk constraints. Such a problem arises in industrial contexts such as automated…

最优化与控制 · 数学 2021-06-01 L. Consolini , M. Locatelli , A. Minari

We design new differentially private algorithms for the problems of adversarial bandits and bandits with expert advice. For adversarial bandits, we give a simple and efficient conversion of any non-private bandit algorithm to a private…

机器学习 · 计算机科学 2025-05-29 Hilal Asi , Vinod Raman , Kunal Talwar

We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of $k$ solutions. This approach is appropriate for decision problems under uncertainty where the…

最优化与控制 · 数学 2019-03-28 André Chassein , Marc Goerigk , Jannis Kurtz , Michael Poss

A quadratic assignment problem (QAP) is a combinatorial optimization problem that belongs to the class of NP-hard ones. So, it is difficult to solve in the polynomial time even for small instances. Research on the QAP has thus focused on…

神经与进化计算 · 计算机科学 2020-07-30 Zohreh Raziei , Reza Tavakkoli-Moghaddam , Siavash Tabrizian

The problem of dispersion of mobile robots on a graph asks that $n$ robots initially placed arbitrarily on the nodes of an $n$-node anonymous graph, autonomously move to reach a final configuration where exactly each node has at most one…

分布式、并行与集群计算 · 计算机科学 2020-09-04 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses

Recently, convex nested stochastic composite optimization (NSCO) has received considerable attention for its applications in reinforcement learning and risk-averse optimization. The current NSCO algorithms have worse stochastic oracle…

最优化与控制 · 数学 2022-06-22 Zhe Zhang , Guanghui Lan

We study the gathering problem requiring a team of mobile agents to gather at a single node in arbitrary networks. The team consists of $k$ agents with unique identifiers (IDs), and $f$ of them are weakly Byzantine agents, which behave…

分布式、并行与集群计算 · 计算机科学 2020-08-04 Jion Hirose , Junya Nakamura , Fukuhito Ooshita , Michiko Inoue