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We study the multiorder coherent Raman scattering of a quantum probe field in a far-off-resonance medium with a prepared coherence. Under the conditions of negligible dispersion and limited bandwidth, we derive a Bessel-function solution…

Quantum Physics · Physics 2009-11-10 Fam Le Kien , Anil K. Patnaik , K. Hakuta

We describe how randomized benchmarking can be used to reconstruct the unital part of any trace-preserving quantum map, which in turn is sufficient for the full characterization of any unitary evolution, or more generally, any unital…

Quantum Physics · Physics 2016-04-12 Shelby Kimmel , Marcus P. da Silva , Colm A. Ryan , Blake R. Johnson , Thomas Ohki

We study which property testing and sublinear time algorithms can be transformed into graph streaming algorithms for random order streams. Our main result is that for bounded degree graphs, any property that is constant-query testable in…

Data Structures and Algorithms · Computer Science 2017-07-25 Morteza Monemizadeh , S. Muthukrishnan , Pan Peng , Christian Sohler

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

The existence of incompatible measurements, i.e. measurements which cannot be performed simultaneously on a single copy of a quantum state, constitutes an important distinction between quantum mechanics and classical theories. While…

Quantum Physics · Physics 2022-06-22 Krzysztof Mordasewicz , Jędrzej Kaniewski

We propose a metric for the space of multiple sequence alignments that can be used to compare two alignments to each other. In the case where one of the alignments is a reference alignment, the resulting accuracy measure improves upon…

Quantitative Methods · Quantitative Biology 2011-11-09 Ariel S. Schwartz , Eugene W. Myers , Lior Pachter

One of the most common approaches to the analysis of dynamic networks is through time-window aggregation. The resulting representation is a sequence of static networks, i.e. the snapshot graph. Despite this representation being widely used…

Social and Information Networks · Computer Science 2021-12-07 Alessandro Chiappori , Rémy Cazabet

Genetic information is encoded in a linear sequence of nucleotides, represented by letters ranging from thousands to billions. Mutations refer to changes in the DNA or RNA nucleotide sequence. Thus, mutation detection is vital in all areas…

The ability to identify useful features or representations of the input data based on training data that achieves low prediction error on test data across multiple prediction tasks is considered the key to multitask learning success. In…

Machine Learning · Statistics 2025-02-12 Soumya Mukherjee , Bharath K. Sriperumbudur

In this paper, we investigate a trade-off between the number of radar observations (or measurements) and their resolution in the context of radar range estimation. To this end, we introduce a novel estimation scheme that can deal with…

Signal Processing · Electrical Eng. & Systems 2018-11-29 Thomas Feuillen , Chunlei Xu , Jérôme Louveaux , Luc Vandendorpe , Laurent Jacques

Quantum computers are now on the brink of outperforming their classical counterparts. One way to demonstrate the advantage of quantum computation is through quantum random sampling performed on quantum computing devices. However, existing…

Meta-analysis is a statistical method used in evidence synthesis for combining, analyzing and summarizing studies that have the same target endpoint and aims to derive a pooled quantitative estimate using fixed and random effects models or…

Methodology · Statistics 2022-04-25 Ivette Raices Cruz , Matthias C. M. Troffaes , Johan Lindström , Ullrika Sahlin

In this study, a method for quantum state readout and feature extraction is developed using quantum overlap-based fitting of function expansions. The approach involves the quantum calculation of quantum overlaps between a target quantum…

Consider a fixed universe of $N=2^n$ elements and the uniform distribution over elements of some subset of size $K$. Given samples from this distribution, the task of complement sampling is to provide a sample from the complementary subset.…

Quantum Physics · Physics 2026-02-02 Marcello Benedetti , Harry Buhrman , Jordi Weggemans

Computing the agreement between two continuous sequences is of great interest in statistics when comparing two instruments or one instrument with a gold standard. The probability of agreement (PA) quantifies the similarity between two…

Methodology · Statistics 2025-05-20 Jonathan Acosta , Ronny Vallejos , Aaron M. Ellison , Felipe Osorio , Mario de Castro

In this paper, we propose several statistics for testing uniformity under progressive Type-I interval censoring. We obtain the critical points of these statistics and study the power of the proposed tests against a representative set of…

Statistics Theory · Mathematics 2017-04-25 H. Nadeb , H. Torabi , G. G. Hamedani

In this paper the accuracy and robustness of quality measures for the assessment of machine learning models are investigated. The prediction quality of a machine learning model is evaluated model-independent based on a cross-validation…

Machine Learning · Statistics 2024-10-07 Thomas Most , Lars Gräning , Sebastian Wolff

We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \citep{cuesta2009projection,cuesta2007sharp} in a data-driven…

Statistics Theory · Mathematics 2026-04-14 Tiefeng Jiang , Tuan Pham

In this paper, we develop a computational approach for estimating the mean value of a quantity in the presence of uncertainty. We demonstrate that, under some mild assumptions, the upper and lower bounds of the mean value are efficiently…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

Consistently checking the statistical significance of experimental results is the first mandatory step towards reproducible science. This paper presents a hitchhiker's guide to rigorous comparisons of reinforcement learning algorithms.…

Methodology · Statistics 2022-08-30 Cédric Colas , Olivier Sigaud , Pierre-Yves Oudeyer