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This paper studies some basic problems in a multiple-object auction model using methodologies from theoretical computer science. We are especially concerned with situations where an adversary bidder knows the bidding algorithms of all the…

计算工程、金融与科学 · 计算机科学 2007-05-23 Ming-Yang Kao , Junfeng Qi , Lei Tan

Quantum algorithm can find target item in a database faster than any classical. One can trade accuracy for speed and find a part of the database (a block) containing the target item even faster: this is partial search. One can think of…

量子物理 · 物理学 2007-05-23 Vladimir Korepin , Jinfeng Liao

This paper addresses the problem of discovering the objects present in a collection of images without any supervision. We build on the optimization approach of Vo et al. (CVPR'19) with several key novelties: (1) We propose a novel…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Huy V. Vo , Patrick Pérez , Jean Ponce

Multi-objective search means searching for any one of several objectives in an unstructured database. Grover's algorithm has quadratic acceleration in multi-objection search than classical ones. Iterated operator in Grover's algorithm is a…

量子物理 · 物理学 2024-09-10 Hao Li , Daowen Qiu , Le Luo

Quantum Search Algorithm made a big impact by being able to solve the search problem for a set with $N$ elements using only $O(\sqrt{N})$ steps. Unfortunately, it is impossible to reduce the order of the complexity of this problem, however,…

量子物理 · 物理学 2022-07-25 Umut Çalıkyılmaz , Sadi Turgut

Algorithms for searching and sorting data sets on quantum annealing systems are presented. Search algorithms for unordered data sets are developed. A sorting algorithm for data sets is provided, with a consideration of sort stability.…

量子物理 · 物理学 2022-04-29 Robert A. Dunn

The Grover search algorithm performs an unstructured search of a marked item in a database quadratically faster than classical algorithms and is shown to be optimal. Here, we show that if the search space is divided into two blocks with the…

量子物理 · 物理学 2023-12-12 Akankshya Dash , Biswaranjan Panda , Arun K Pati

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

机器学习 · 计算机科学 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

A simple circuit implementation of the oracle for Grover's quantum search of a real unstructured classical database is proposed. The oracle contains a kind of quantumly accessible classical memory, which stores the database.

量子物理 · 物理学 2016-02-18 Bogusław Broda

Here we suggest a modification of Grover's algorithm, based on a multiphase oracle which marks each solution with a different phase when there is more than one solution. Such a modification can be used to maintain a high probability of…

量子物理 · 物理学 2025-09-03 Hristo Tonchev , Rosen Bahtev

Learning-augmented algorithms have been attracting increasing interest, but have only recently been considered in the setting of explorable uncertainty where precise values of uncertain input elements can be obtained by a query and the goal…

数据结构与算法 · 计算机科学 2023-05-17 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

In this Letter we present a quantum deletion algorithm that deletes a marked state from an unsorted database of $N$ items with only a single query. This algorithm achieves exponential speedup compared with classical algorithm where O(N)…

量子物理 · 物理学 2007-10-18 Yang Liu , Gui Lu Long

In this paper we propose an optimization-based framework to multiple object matching. The framework takes maps computed between pairs of objects as input, and outputs maps that are consistent among all pairs of objects. The central idea of…

数据结构与算法 · 计算机科学 2018-04-12 Nan Hu , Qixing Huang , Boris Thibert , Leonidas Guibas

While powerful tools have been developed to analyze quantum query complexity, there are still many natural problems that do not fit neatly into the black box model of oracles. We create a new model that allows multiple oracles with…

量子物理 · 物理学 2016-04-12 Shelby Kimmel , Cedric Yen-Yu Lin , Han-Hsuan Lin

Learning the true ordering between objects by aggregating a set of expert opinion rank order lists is an important and ubiquitous problem in many applications ranging from social choice theory to natural language processing and search…

机器学习 · 统计学 2016-05-17 Avradeep Bhowmik , Joydeep Ghosh

L. K. Grover's search algorithm in quantum computing gives an optimal, quadratic speedup in the search for a single object in a large unsorted database. In this paper, we generalize Grover's algorithm in a Hilbert-space framework for both…

量子物理 · 物理学 2007-05-23 Goong Chen , Stephen A. Fulling , Jeesen Chen

Although entanglement is widely considered to be necessary for quantum algorithms to improve on classical ones, Lloyd has observed recently that Grover's quantum search algorithm can be implemented without entanglement, by replacing…

量子物理 · 物理学 2009-11-06 David A. Meyer

This paper describes a quantum algorithm for finding the maximum among N items. The classical method for the same problem takes O(N) steps because we need to compare two numbers in one step. This algorithm takes O(sqrt(N)) steps by…

量子物理 · 物理学 2007-05-23 Ashish Ahuja , Sanjiv Kapoor

A quantum algorithm for combinatorial search is presented that provides a simple framework for utilizing search heuristics. The algorithm is evaluated in a new case that is an unstructured version of the graph coloring problem. It performs…

量子物理 · 物理学 2009-10-06 Tad Hogg

This study proposes a Newton based multiple objective optimization algorithm for hyperparameter search. The first order differential (gradient) is calculated using finite difference method and a gradient matrix with vectorization is formed…

最优化与控制 · 数学 2024-01-09 Qinwu Xu