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Hansen (1982) proposed a class of "generalized method of moments" (GMMs) for estimating a vector of regression parameters from a set of score functions. Hansen established that, under certain regularity conditions, the estimator based on…

Statistics Theory · Mathematics 2007-06-13 Ramani S. Pilla , Catherine Loader

In this research, a comparative study of four Quantum Machine Learning (QML) models was conducted for fraud detection in finance. We proved that the Quantum Support Vector Classifier model achieved the highest performance, with F1 scores of…

Quantum Physics · Physics 2023-11-28 Nouhaila Innan , Muhammad Al-Zafar Khan , Mohamed Bennai

The importance of analyzing nontrivial datasets when testing quantum machine learning (QML) models is becoming increasingly prominent in literature, yet a cohesive framework for understanding dataset characteristics remains elusive. In this…

Quantum Physics · Physics 2025-08-28 Alona Sakhnenko , Christian B. Mendl , Jeanette M. Lorenz

We consider the problem of simulating loss probabilities and conditional excesses for linear asset portfolios under the t-copula model. Although in the literature on market risk management there are papers proposing efficient variance…

Risk Management · Quantitative Finance 2017-08-07 Halis Sak , İsmail Başoğlu

Large language models are reshaping quantitative investing by turning unstructured financial information into evidence-grounded signals and executable decisions. This survey synthesizes research with a focus on equity return prediction and…

Portfolio Management · Quantitative Finance 2025-10-08 Weilong Fu

Although machine learning approaches have been widely used in the field of finance, to very successful degrees, these approaches remain bespoke to specific investigations and opaque in terms of explainability, comparability, and…

Trading and Market Microstructure · Quantitative Finance 2022-06-22 Artur Sokolovsky , Luca Arnaboldi

These are the lecture notes of the master's course "Quantum Computing", taught at Chalmers University of Technology every fall since 2020, with participation of students from RWTH Aachen and Delft University of Technology. The aim of this…

Quasi-Monte Carlo (QMC) method is a useful numerical tool for pricing and hedging of complex financial derivatives. These problems are usually of high dimensionality and discontinuities. The two factors may significantly deteriorate the…

Numerical Analysis · Mathematics 2019-02-27 Zhijian He , Xiaoqun Wang

Quantum Federated Learning (QFL) is an emerging interdisciplinary field that merges the principles of Quantum Computing (QC) and Federated Learning (FL), with the goal of leveraging quantum technologies to enhance privacy, security, and…

Machine Learning · Computer Science 2024-08-20 Chao Ren , Rudai Yan , Huihui Zhu , Han Yu , Minrui Xu , Yuan Shen , Yan Xu , Ming Xiao , Zhao Yang Dong , Mikael Skoglund , Dusit Niyato , Leong Chuan Kwek

We introduce an approximation strategy for the discounted moments of a stochastic process that can, for a large class of problems, approximate the true moments. These moments appear in pricing formulas of financial products such as bonds…

Mathematical Finance · Quantitative Finance 2021-11-02 Chenyu Zhao , Misha van Beek , Peter Spreij , Makhtar Ba

Although several models have been proposed towards assisting machine learning (ML) tasks with quantum computers, a direct comparison of the expressive power and efficiency of classical versus quantum models for datasets originating from…

Quantum Physics · Physics 2020-01-09 Javier Alcazar , Vicente Leyton-Ortega , Alejandro Perdomo-Ortiz

Quantum computers are expected to surpass the computational capabilities of classical computers and have a transformative impact on numerous industry sectors. We present a comprehensive summary of the state of the art of quantum computing…

Quantum Physics · Physics 2023-07-24 Dylan Herman , Cody Googin , Xiaoyuan Liu , Yue Sun , Alexey Galda , Ilya Safro , Marco Pistoia , Yuri Alexeev

This paper focuses on the study of an original combination of the Multilevel Monte Carlo method introduced by Giles [10] and the popular importance sampling technique. To compute the optimal choice of the parameter involved in the…

Probability · Mathematics 2017-09-05 Mohamed Ben Alaya , Kaouther Hajji , Ahmed Kebaier

This study presents a comparative analysis of Monte Carlo (MC) and quasi-Monte Carlo (QMC) methods in the context of derivative pricing, emphasizing convergence rates and the curse of dimensionality. After a concise overview of traditional…

Pricing of Securities · Quantitative Finance 2025-02-26 Giacomo Case

Social financial technology focuses on trust, sustainability, and social responsibility, which require advanced technologies to address complex financial tasks in the digital era. With the rapid growth in online transactions, automating…

These lecture notes aim at a post-Bachelor audience with a background at an introductory level in Applied Mathematics and Applied Statistics. They discuss the logic and methodology of the Bayes-Laplace approach to inductive statistical…

Applications · Statistics 2022-08-31 Henk van Elst

Monte Carlo is a versatile and frequently used tool in statistical physics and beyond. Correspondingly, the number of algorithms and variants reported in the literature is vast, and an overview is not easy to achieve. In this pedagogical…

Statistical Mechanics · Physics 2010-01-04 Michael Kastner

This paper gives a brief overview on the nonparametric techniques that are useful for financial econometric problems. The problems include estimation and inferences of instantaneous returns and volatility functions of time-homogeneous and…

Statistics Theory · Mathematics 2008-12-10 Jianqing Fan

Contribution: In this study, an alternative educational approach for introducing quantum computing to a wider audience is highlighted. The proposed methodology considers quantum computing as a generalized probability theory rather than a…

Physics Education · Physics 2021-05-31 Özlem Salehi , Zeki Seskir , İlknur Tepe

Programming-by-Example (PBE) systems synthesize an intended program in some (relatively constrained) domain-specific language from a small number of input-output examples provided by the user. In this paper, we motivate and define the…

Programming Languages · Computer Science 2019-09-16 Sumit Gulwani , Kunal Pathak , Arjun Radhakrishna , Ashish Tiwari , Abhishek Udupa
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