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Quantile aggregation with dependence uncertainty has a long history in probability theory with wide applications in finance, risk management, statistics, and operations research. Using a recent result on inf-convolution of quantile-based…

风险管理 · 定量金融 2024-09-09 Jose Blanchet , Henry Lam , Yang Liu , Ruodu Wang

The quantified constraint satisfaction problem (QCSP) is the problem of deciding, given a structure and a first-order prenex sentence whose quantifier-free part is the conjunction of atoms, whether or not the sentence holds on the…

计算机科学中的逻辑 · 计算机科学 2015-03-20 Hubie Chen

Variable elimination is a general technique for constraint processing. It is often discarded because of its high space complexity. However, it can be extremely useful when combined with other techniques. In this paper we study the…

人工智能 · 计算机科学 2011-09-13 J. Larrosa , E. Morancho , D. Niso

We address an apparent conflict between the traditional canonical quantization framework of quantum theory and the spatially restricted quantum dynamics, when the translation invariance of the otherwise free quantum system is broken by…

数学物理 · 物理学 2015-06-26 P. Garbaczewski , W. Karwowski

The utility of satisfiability (SAT) as an application focused hard computational problem is well established. We explore the potential of quantum annealing to enhance classical SAT solving, especially where sampling from the space of all…

量子物理 · 物理学 2016-12-22 Kristen L. Pudenz , Gregory S. Tallant , Todd R. Belote , Steven H. Adachi

Linear real-valued computations over distributed datasets are common in many applications, most notably as part of machine learning inference. In particular, linear computations that are quantized, i.e., where the coefficients are…

信息论 · 计算机科学 2023-11-27 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

Although many investigators affirm a desire to build reasoning systems that behave consistently with the axiomatic basis defined by probability theory and utility theory, limited resources for engineering and computation can make a complete…

人工智能 · 计算机科学 2013-04-11 Eric J. Horvitz

Answer Set Programming with Quantifiers (ASP(Q)) has been introduced to provide a natural extension of ASP modeling to problems in the polynomial hierarchy (PH). However, ASP(Q) lacks a method for encoding in an elegant and compact way…

人工智能 · 计算机科学 2025-01-22 Giuseppe Mazzotta , Francesco Ricca , Mirek Truszczynski

Quadratic Unconstrained Binary Optimization models are useful for solving a diverse range of optimization problems. Constraints can be added by incorporating quadratic penalty terms into the objective, often with the introduction of slack…

最优化与控制 · 数学 2021-05-18 Amit Verma , Mark Lewis

Quantum Computing and especially Quantum Machine Learning, in a short period of time, has gained a lot of interest through research groups around the world. This can be seen in the increasing number of proposed models for pattern…

量子物理 · 物理学 2020-12-23 Héctor Iván García Hernández , Raymundo Torres Ruiz , Guo-Hua Sun

The use of emergent constraints to quantify uncertainty for key policy relevant quantities such as Equilibrium Climate Sensitivity (ECS) has become increasingly widespread in recent years. Many researchers, however, claim that emergent…

应用统计 · 统计学 2020-02-19 Daniel B. Williamson , Philip G. Sansom

Enhanced quantization is an improved program for overcoming difficulties which may arise during an ordinary canonical quantization procedure. We review here how this program applies for a particle on circle.

数学物理 · 物理学 2012-10-22 Joseph Ben Geloun

This report presents a meta analysis of various sources from literature, research projects, and experience with the goal of collecting examples for instance-spanning constraints to be implemented through Process-Aware Information Systems.

软件工程 · 计算机科学 2016-03-07 Stefanie Rinderle-Ma , Manuel Gall , Walid Fdhila , Jürgen Mangler , Conrad Indiono

The notion that any physical quantity is defined and measured relative to a reference frame is traditionally not explicitly reflected in the theoretical description of physical experiments where, instead, the relevant observables are…

量子物理 · 物理学 2016-03-25 Takayuki Miyadera , Leon Loveridge , Paul Busch

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

机器学习 · 计算机科学 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

The quantified Boolean formula (QBF) problem is an important decision problem generally viewed as the archetype for PSPACE-completeness. Many problems of central interest in AI are in general not included in NP, e.g., planning, model…

计算复杂性 · 计算机科学 2024-05-13 Leif Eriksson , Victor Lagerkvist , George Osipov , Sebastian Ordyniak , Fahad Panolan , Mateusz Rychlicki

Quantitative aspects of computation are related to the use of both physical and mathematical quantities, including time, performance metrics, probability, and measures for reliability and security. They are essential in characterizing the…

编程语言 · 计算机科学 2020-01-22 Alessandro Aldini

Ever since its foundations were laid nearly a century ago, quantum theory has provoked questions about the very nature of reality. We address these questions by considering the universe, and the multiverse, fundamentally as complex…

综合物理 · 物理学 2021-04-13 Alan McKenzie

The diversity of patterns that emerge from complex systems motivates their use for scientific or artistic purposes. When exploring these systems, the challenges faced are the size of the parameter space and the strongly non-linear mapping…

机器学习 · 计算机科学 2025-10-02 Bastien Morel , Clément Moulin-Frier , Pascal Barla

We present a theory of "quantum references", similar to lenses in classical functional programming, that allow to point to a subsystem of a larger quantum system, and to mutate/measure that part. Mutable classical variables, quantum…

计算机科学中的逻辑 · 计算机科学 2024-07-08 Dominique Unruh