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We investigate the problem of quantum searching on a noisy quantum computer. Taking a 'fault-ignorant' approach, we analyze quantum algorithms that solve the task for various different noise strengths, which are possibly unknown beforehand.…

Quantum Physics · Physics 2014-07-28 Peter Vrana , David Reeb , Daniel Reitzner , Michael M. Wolf

The performance measure of an algorithm is a crucial part of its analysis. The performance can be determined by the study on the convergence rate of the algorithm in question. It is necessary to study some (hopefully convergent) sequence…

Optimization and Control · Mathematics 2016-07-25 Sandra Astete-Morales , Marie-Liesse Cauwet , Olivier Teytaud

We study the similarity search problem which aims to find the similar query results according to a set of given data and a query string. To balance the result number and result quality, we combine query result diversity with query…

Databases · Computer Science 2017-02-24 Ruoxi Shi , Hongzhi Wang , Tao Wang , Yutai Hou , Yiwen Tang

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

We consider the problem of clustering in the presence of noise. That is, when on top of cluster structure, the data also contains a subset of \emph{unstructured} points. Our goal is to detect the clusters despite the presence of many…

Machine Learning · Computer Science 2018-08-28 Shrinu Kushagra , Yaoliang Yu , Shai Ben-David

A judicious combination of dictionary learning methods, block sparsity and source recovery algorithm are used in a hierarchical manner to identify the noises and the speakers from a noisy conversation between two people. Conversations are…

Sound · Computer Science 2016-10-31 K V Vijay Girish , A G Ramakrishnan , T V Ananthapadmanabha

It is impossible to recover a vector from $\mathbb{R}^m$ with less than $m$ linear measurements, even if the measurements are chosen adaptively. Recently, it has been shown that one can recover vectors from $\mathbb{R}^m$ with arbitrary…

Numerical Analysis · Mathematics 2025-10-28 David Krieg , Erich Novak , Leszek Plaskota , Mario Ullrich

Noisy $k$-XOR is a basic average-case inference problem in which one observes random noisy $k$-ary parity constraints and seeks to recover, or more weakly, detect, a hidden Boolean assignment. A central question is to characterize the…

Computational Complexity · Computer Science 2026-04-14 Songtao Mao

Nearest-neighbor search dominates the asymptotic complexity of sampling-based motion planning algorithms and is often addressed with k-d tree data structures. While it is generally believed that the expected complexity of nearest-neighbor…

Computational Geometry · Computer Science 2017-09-25 Valerio Varricchio , Brian Paden , Dmitry Yershov , Emilio Frazzoli

Retrieval pipelines commonly rely on a term-based search to obtain candidate records, which are subsequently re-ranked. Some candidates are missed by this approach, e.g., due to a vocabulary mismatch. We address this issue by replacing the…

Information Retrieval · Computer Science 2016-11-01 Leonid Boytsov , David Novak , Yury Malkov , Eric Nyberg

This paper investigates the impact of noise in the quantum query model, a fundamental framework for quantum algorithms. We focus on the scenario where the oracle is subject to non-unitary (or irreversible) noise, specifically under the…

Quantum Physics · Physics 2024-11-08 David Rasmussen Lolck , Laura Mančinska , Manaswi Paraashar

Cross-lingual document search is an information retrieval task in which the queries' language differs from the documents' language. In this paper, we study the instability of neural document search models and propose a novel end-to-end…

Information Retrieval · Computer Science 2020-11-03 Jiapeng Liu , Xiao Zhang , Dan Goldwasser , Xiao Wang

Context: Logging tasks track the system's functioning by keeping records of evidence that have been analyzed by monitoring and observability activities. For these activities to be effective, it is necessary to consider the quality of the…

Software Engineering · Computer Science 2021-06-08 Eduardo Mendes , Fabio Petrillo

Quantum spatial search has been widely studied with most of the study focusing on quantum walk algorithms. We show that quantum walk algorithms are extremely sensitive to systematic errors. We present a recursive algorithm which offers…

Quantum Physics · Physics 2016-02-15 Avatar Tulsi

We study a variant of the canonical k-center problem over a set of vertices in a metric space, where the underlying distances are apriori unknown. Instead, we can query an oracle which provides noisy/incomplete estimates of the distance…

Data Structures and Algorithms · Computer Science 2022-04-05 Neharika Jali , Nikhil Karamchandani , Sharayu Moharir

Nonlinear optimization methods are typically iterative and make use of gradient information to determine a direction of improvement and function information to effectively check for progress. When this information is corrupted by noise,…

Optimization and Control · Mathematics 2025-10-21 Albert S. Berahas , Michael J. O'Neill , Clément W. Royer

The log-likelihood of a generative model often involves both positive and negative terms. For a temporal multivariate point process, the negative term sums over all the possible event types at each time and also integrates over all the…

Machine Learning · Computer Science 2020-11-03 Hongyuan Mei , Tom Wan , Jason Eisner

We propose a simple modification to the recently proposed compressive binary search. The modification removes an unnecessary and suboptimal factor of log log n from the SNR requirement, making the procedure optimal (up to a small constant).…

Information Theory · Computer Science 2012-05-09 Matthew L. Malloy , Robert D. Nowak

The retrieval capabilities of associative neural networks can be impaired by different kinds of noise: the fast noise (which makes neurons more prone to failure), the slow noise (stemming from interference among stored memories), and…

Disordered Systems and Neural Networks · Physics 2020-12-10 Elena Agliari , Giordano De Marzo

Voice search is becoming a popular mode for interacting with search engines. As a result, research has gone into building better voice transcription engines, interfaces, and search engines that better handle inherent verbosity of queries.…

Information Retrieval · Computer Science 2013-12-17 Apoorv Narang , Srikanta Bedathur
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