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A novel solution to the smoothing problem for multi-object dynamical systems is proposed and evaluated. The systems of interest contain an unknown and varying number of dynamical objects that are partially observed under noisy and corrupted…

统计计算 · 统计学 2020-09-08 Jeremie Houssineau , Jiajie Zeng , Ajay Jasra

We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

数据结构与算法 · 计算机科学 2023-11-03 Xingjian Bai , Christian Coester

We propose a classical to quantum information encoding system using non--orthogonal states and apply it to the problem of searching an element in a quantum list. We show that the proposed encoding scheme leads to an exponential gain in…

量子物理 · 物理学 2014-02-17 T. Douce , A. Ketterer , A. Keller , T. Coudreau , P. Milman

We propose an $O(N\cdot M)$ sorting algorithm by Machine Learning method, which shows a huge potential sorting big data. This sorting algorithm can be applied to parallel sorting and is suitable for GPU or TPU acceleration. Furthermore, we…

机器学习 · 计算机科学 2018-08-16 Hanqing Zhao , Yuehan Luo

We use differentiable programming and gradient descent to find unitary matrices that can be used in the period finding algorithm to extract period information from the state of a quantum computer post application of the oracle. The standard…

量子物理 · 物理学 2021-03-11 John George Francis , Anil Shaji

Algorithm selection and hyperparameter tuning are critical steps in both academic and applied machine learning. On the other hand, these steps are becoming ever increasingly delicate due to the extensive rise in the number, diversity, and…

机器学习 · 计算机科学 2023-09-15 Ahmad Esmaeili , Julia T. Rayz , Eric T. Matson

A quantum computer encodes information in quantum states and runs quantum algorithms to surpass the classical counterparts by exploiting quantum superposition and quantum correlation. Grover's quantum search algorithm is a typical quantum…

量子物理 · 物理学 2023-08-23 Yutong Huang , Shengshi Pang

Presented here is a matrix inversion method utilizing quantum searching algorithm. In this method, huge Hilbert space as a whole spanned by myriad of eigen states is searched and evaluated efficiently by sequential reduction in dimension…

量子物理 · 物理学 2007-05-23 Atsushi Miyauchi

When operating in unstructured environments such as warehouses, homes, and retail centers, robots are frequently required to interactively search for and retrieve specific objects from cluttered bins, shelves, or tables. Mechanical Search…

This paper introduces a quantum-classical hybrid algorithm for generalized pattern search (GPS) algorithms. We introduce a quantum search step algorithm using amplitude amplification, which reduces the number of oracle calls needed during…

量子物理 · 物理学 2024-10-02 Colton Mikes , Ismael R. de Farias , David Huckleberry Gutman , Victoria E. Howle

Object queries are essential in information seeking and decision making in vast areas of applications. However, a query may involve complex conditions on objects and sets, which can be arbitrarily nested and aliased. The objects and sets…

编程语言 · 计算机科学 2020-12-25 Yanhong A. Liu , Jon Brandvein , Scott D. Stoller , Bo Lin

This paper addresses the problem of both actively searching and tracking multiple unknown dynamic objects in a known environment with multiple cooperative autonomous agents with partial observability. The tracking of a target ends when the…

Given a unitary representation of a finite group on a finite-dimensional Hilbert space, we show how to find a state whose translates under the group are distinguishable with the highest probability. We apply this to several quantum oracle…

量子物理 · 物理学 2015-03-19 Orest Bucicovschi , Daniel Copeland , David A. Meyer , James Pommersheim

The use of superposition of states in quantum computation, known as quantum parallelism, has significant advantage in terms of speed over the classical computation. It can be understood from the early invented quantum algorithms such as…

量子物理 · 物理学 2017-11-17 Pulak Ranjan Giri , Vladimir E. Korepin

Object discovery is a core task in computer vision. While fast progresses have been made in supervised object detection, its unsupervised counterpart remains largely unexplored. With the growth of data volume, the expensive cost of…

计算机视觉与模式识别 · 计算机科学 2022-10-11 Yuqi Wang , Yuntao Chen , Zhaoxiang Zhang

Recent works have developed new projection-free first-order methods based on utilizing linesearches and normal vector computations to maintain feasibility. These oracles can be cheaper than orthogonal projection or linear optimization…

最优化与控制 · 数学 2024-05-01 Thabo Samakhoana , Benjamin Grimmer

Ordered search is the task of finding an item in an ordered list using comparison queries. The best exact classical algorithm for this fundamental problem uses $\lceil \log_{2}{n}\rceil$ queries for a list of length $n$. Quantum computers…

量子物理 · 物理学 2025-08-01 Joseph Carolan , Andrew M. Childs , Matt Kovacs-Deak , Luke Schaeffer

In the oracle identification problem, we are given oracle access to an unknown N-bit string x promised to belong to a known set C of size M and our task is to identify x. We present a quantum algorithm for the problem that is optimal in its…

量子物理 · 物理学 2014-04-24 Robin Kothari

We propose an algorithm using a modified variant of amplitude amplification to solve combinatorial optimization problems via the use of a subdivided phase oracle. Instead of dividing input states into two groups and shifting the phase…

量子物理 · 物理学 2023-09-07 Naphan Benchasattabuse , Takahiko Satoh , Michal Hajdušek , Rodney Van Meter

Grover's algorithm has achieved great success. But quantum search algorithms still are not complete algorithms because of Grover's Oracle. We concerned on this problem and present a new quantum search algorithm in adiabatic model without…

量子物理 · 物理学 2009-09-29 Nanyang Xu , Jin Zhu , Xinhua Peng , Xianyi Zhou , Jiangfeng Du
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