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The QQ plot is a commonly used technique for informally deciding whether a univariate random sample of size n comes from a specified distribution F. The QQ plot graphs the sample quantiles against the theoretical quantiles of F and then a…

Probability · Mathematics 2007-06-13 Bikramjit Das , Sidney I. Resnick

The univariate quantile-quantile (Q-Q) plot is a well-known graphical tool for examining whether two data sets are generated from the same distribution or not. It is also used to determine how well a specified probability distribution fits…

Statistics Theory · Mathematics 2014-07-07 Subhra Sankar Dhar , Biman Chakraborty , Probal Chaudhuri

In this paper, I propose a project of enlisting quantum information science as a source of task-oriented axioms for use in the investigation of operational theories in a general framework capable of encompassing quantum mechanics, classical…

Quantum Physics · Physics 2007-05-23 Howard Barnum

This paper lays the foundations for a unified framework for numerically and computationally applying methods drawn from a range of currently distinct geometrical approaches to statistical modelling. In so doing, it extends information…

Statistics Theory · Mathematics 2012-09-11 Karim Anaya-Izquierdo , Frank Critchley , Paul Marriott , Paul W. Vos

The design and testing of supervised machine learning models combine two fundamental distributions: (1) the training data distribution (2) the testing data distribution. Although these two distributions are identical and identifiable when…

Machine Learning · Computer Science 2021-03-19 Peyman Tavallali , Hamed Hamze Bajgiran , Danial J. Esaid , Houman Owhadi

In many scientific areas, data with quantitative and qualitative (QQ) responses are commonly encountered with a large number of predictors. By exploring the association between QQ responses, existing approaches often consider a joint model…

Methodology · Statistics 2026-05-12 Xiaoning Kang , Lulu Kang , Wei Chen , Xinwei Deng

We use analytic and numerical methods to obtain the solution of the Q-ball equation of motion. In particular, we show that the profile function of the three-dimensional Q-ball can be accurately approximated by the symmetrized Woods-Saxon…

High Energy Physics - Theory · Physics 2009-11-10 Theodora Ioannidou , N. D. Vlachos

This paper extends the optimal-trading framework developed in arXiv:2409.03586v1 to compute optimal strategies with real-world constraints. The aim of the current paper, as with the previous, is to study trading in the context of…

Trading and Market Microstructure · Quantitative Finance 2024-09-26 Neil A. Chriss

We propose a new embedding method, named Quantile-Quantile Embedding (QQE), for distribution transformation and manifold embedding with the ability to choose the embedding distribution. QQE, which uses the concept of quantile-quantile plot…

Machine Learning · Statistics 2021-07-12 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

The interest in $q$-analogs of codes and designs has been increased in the last few years as a consequence of their new application in error-correction for random network coding. There are many interesting theoretical, algebraic, and…

Information Theory · Computer Science 2013-05-28 Tuvi Etzion

In this expository paper we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and ZX-calculus,…

Quantum Physics · Physics 2024-03-07 E. Ercolessi , R. Fioresi , T. Weber

Hive plots are a graph visualization style placing vertices on a set of radial axes emanating from a common center and drawing edges as smooth curves connecting their respective endpoints. In previous work on hive plots, assignment to an…

Computational Geometry · Computer Science 2023-09-06 Martin Nöllenburg , Markus Wallinger

Within the general context of the architecture in quantum computer design, this paper aims is to provide a general strategy to obtain a block-matrix representation of quantum gates applied to qubits placed in arbitrary positions over an…

Quantum Physics · Physics 2017-11-28 Giuseppe Sergioli

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

The perimeter and area generating functions of exactly solvable polygon models satisfy q-functional equations, where q is the area variable. The behaviour in the vicinity of the point where the perimeter generating function diverges can…

Statistical Mechanics · Physics 2008-08-28 C. Richard , A. J. Guttmann

A summary of the construction procedure of generalized versions of Baxter's Q-operator is given. Illustrated by several figures and diagrams the use of representation theory is explained step-by-step avoiding technical details. The relation…

Statistical Mechanics · Physics 2007-05-23 Christian Korff

Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but does so in the most general of settings. Applications…

Numerical Analysis · Mathematics 2011-07-05 Steven Pollack , Daniel Badali , Jonathan Pollack

While many classes of cutting-planes are at the disposal of integer programming solvers, our scientific understanding is far from complete with regards to cutting-plane selection, i.e., the task of selecting a portfolio of cutting-planes to…

Optimization and Control · Mathematics 2018-05-09 Santanu S. Dey , Marco Molinaro

We propose a new approach for solving a class of discrete decision making problems under uncertainty with positive cost. This issue concerns multiple and diverse fields such as engineering, economics, artificial intelligence, cognitive…

Artificial Intelligence · Computer Science 2014-01-03 Steve N'Guyen , Clément Moulin-Frier , Jacques Droulez

We explore a general diagrammatic framework to understand qudits and their braiding, especially in its relation to entanglement. This involves understanding the role of isotopy in interpreting diagrams that implement entangling gates as…

Quantum Physics · Physics 2017-10-24 Arthur Jaffe , Zhengwei Liu , Alex Wozniakowski
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