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This tutorial paper introduces quantum approaches to Monte Carlo computation with applications in computational finance. We outline the basics of quantum computing using Grover's algorithm for unstructured search to build intuition. We then…

Quantum Physics · Physics 2025-09-24 Jose Blanchet , Mark S. Squillante , Mario Szegedy , Guanyang Wang

Recommender systems have become crucial in the modern digital landscape, where personalized content, products, and services are essential for enhancing user experience. This paper explores statistical models for recommender systems,…

Methodology · Statistics 2024-08-13 Disha Ghandwani , Trevor Hastie

Sequential Monte Carlo algorithms, or Particle Filters, are Bayesian filtering algorithms which propagate in time a discrete and random approximation of the a posteriori distribution of interest. Such algorithms are based on Importance…

Computation · Statistics 2017-10-11 Roland Lamberti , Yohan Petetin , François Desbouvries , François Septier

Recommender systems are ubiquitous in on-line services to drive businesses. And many sequential recommender models were deployed in these systems to enhance personalization. The approach of using the transformer decoder as the sequential…

Information Retrieval · Computer Science 2025-04-15 Zan Huang

Recommender systems are software applications that help users to find items of interest in situations of information overload. Current research often assumes a one-shot interaction paradigm, where the users' preferences are estimated based…

Human-Computer Interaction · Computer Science 2021-06-01 Dietmar Jannach , Ahtsham Manzoor , Wanling Cai , Li Chen

Recommender systems are one of the most successful applications of data mining and machine learning technology in practice. Academic research in the field is historically often based on the matrix completion problem formulation, where for…

Information Retrieval · Computer Science 2018-02-26 Massimo Quadrana , Paolo Cremonesi , Dietmar Jannach

Recommender systems aim to estimate the dynamically changing user preferences and sequential dependencies between historical user behaviour and metadata. Although transformer-based models have proven to be effective in sequential…

Information Retrieval · Computer Science 2025-10-07 Mark Obozov , Makar Baderko , Stepan Kulibaba , Nikolay Kutuzov , Alexander Gasnikov

The dynamic environment in the real world calls for the adaptive techniques for information filtering, namely to provide real-time responses to the changes of system data. Where many incremental algorithms are designed for this purpose,…

Information Retrieval · Computer Science 2009-11-26 Ci-Hang Jin , Jian-Guo Liu , Yi-Cheng Zhang , Tao Zhou

Identification of nonlinear systems is a challenging problem. Physical knowledge of the system can be used in the identification process to significantly improve the predictive performance by restricting the space of possible mappings from…

Computation · Statistics 2022-10-27 Anna Wigren , Johan Wågberg , Fredrik Lindsten , Adrian Wills , Thomas B. Schön

The building blocks of quantum algorithms and software are quantum gates, with the appropriate combination of quantum gates leading to a desired quantum circuit. Deep expert knowledge is necessary to discover effective combinations of…

Quantum Physics · Physics 2023-07-17 Bodo Rosenhahn , Tobias J. Osborne

Monte Carlo simulations are methods for simulating statistical systems. The aim is to generate a representative ensemble of configurations to access thermodynamical quantities without the need to solve the system analytically or to perform…

Statistical Mechanics · Physics 2015-06-19 Jean-Charles Walter , Gerard Barkema

Sequential recommender systems aim to predict users' next interested item given their historical interactions. However, a long-standing issue is how to distinguish between users' long/short-term interests, which may be heterogeneous and…

Information Retrieval · Computer Science 2023-03-14 Muyang Li , Zijian Zhang , Xiangyu Zhao , Wanyu Wang , Minghao Zhao , Runze Wu , Ruocheng Guo

Quantum systems have an exponentially large degree of freedom in the number of particles and hence provide a rich dynamics that could not be simulated on conventional computers. Quantum reservoir computing is an approach to use such a…

Quantum Physics · Physics 2020-11-11 Keisuke Fujii , Kohei Nakajima

Quantum machine learning deals with leveraging quantum theory with classic machine learning algorithms. Current research efforts study the advantages of using quantum mechanics or quantum information theory to accelerate learning time or…

Quantum Physics · Physics 2025-09-03 Javier Orduz , Pablo Rivas , Erich Baker

We study quantum algorithms that learn properties of a matrix using queries that return its action on an input vector. We show that for various problems, including computing the trace, determinant, or rank of a matrix or solving a linear…

Quantum Physics · Physics 2021-10-19 Andrew M. Childs , Shih-Han Hung , Tongyang Li

Online stores and service providers rely heavily on recommendation softwares to guide users through the vast amount of available products. Consequently, the field of recommender systems has attracted increased attention from the industry…

Information Retrieval · Computer Science 2022-10-17 Abdullah Alhadlaq , Said Kerrache , Hatim Aboalsamh

The explosive growth of information challenges people's capability in finding out items fitting to their own interests. Recommender systems provide an efficient solution by automatically push possibly relevant items to users according to…

Information Retrieval · Computer Science 2015-01-16 Xuzhen Zhu , Hui Tian , Zheng Hu , Ping Zhang , Tao Zhou

Quantum simulation is a leading candidate for demonstrating practical quantum advantage over classical computation, as it is believed to provide exponentially more compute power than any classical system. It offers new means of studying the…

Quantum Physics · Physics 2026-01-23 Maja Franz , Lukas Schmidbauer , Joshua Ammermann , Ina Schaefer , Wolfgang Mauerer

Most of Markov Chain Monte Carlo (MCMC) and sequential Monte Carlo (SMC) algorithms in existing probabilistic programming systems suboptimally use only model priors as proposal distributions. In this work, we describe an approach for…

Artificial Intelligence · Computer Science 2016-05-17 Yura N Perov , Tuan Anh Le , Frank Wood

Neural networks are being used to improve the probing of the state spaces of many particle systems as approximations to wavefunctions and in order to avoid the recurring sign problem of quantum monte-carlo. One may ask whether the usual…

Machine Learning · Computer Science 2022-06-02 Andrei T. Patrascu