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We describe an algorithm for using a quantum computer to calculate mean values of observables and the partition function of a quantum system. Our algorithm includes two sub-algorithms. The first sub-algorithm is for calculating, with…

量子物理 · 物理学 2010-11-10 Robert R. Tucci

Efficient sampling from a classical Gibbs distribution is an important computational problem with applications ranging from statistical physics over Monte Carlo and optimization algorithms to machine learning. We introduce a family of…

量子物理 · 物理学 2021-09-08 Dominik S. Wild , Dries Sels , Hannes Pichler , Cristian Zanoci , Mikhail D. Lukin

Clustering ensemble has emerged as an important research topic in the field of machine learning. Although numerous methods have been proposed to improve clustering quality, most existing approaches overlook the need for interpretability in…

机器学习 · 计算机科学 2025-06-09 Hang Lv , Lianyu Hu , Mudi Jiang , Xinying Liu , Zengyou He

Many applications benefit from sampling algorithms where a small number of well chosen samples are used to generalize different properties of a large dataset. In this paper, we use diverse sampling for streaming video summarization. Several…

计算机视觉与模式识别 · 计算机科学 2016-11-01 Rushil Anirudh , Ahnaf Masroor , Pavan Turaga

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

Uniform sampling and approximate counting are fundamental primitives for modern database applications, ranging from query optimization to approximate query processing. While recent breakthroughs have established optimal sampling and…

数据库 · 计算机科学 2026-05-13 Xiao Hu , Jinchao Huang

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

统计方法学 · 统计学 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

In seeking out an algorithm to test out the capability of the IBM Quantum Experience quantum computer, we were given a review paper covering various algorithms for solving the subset-sum problem, including both classical and quantum…

新兴技术 · 计算机科学 2019-12-09 David Gunter , Toks Adedoyin

Kernel methods augmented with random features give scalable algorithms for learning from big data. But it has been computationally hard to sample random features according to a probability distribution that is optimized for the data, so as…

量子物理 · 物理学 2021-11-02 Hayata Yamasaki , Sathyawageeswar Subramanian , Sho Sonoda , Masato Koashi

In biomolecular systems (especially all-atom models) with many degrees of freedom such as proteins and nucleic acids, there exist an astronomically large number of local-minimum-energy states. Conventional simulations in the canonical…

统计力学 · 物理学 2010-12-30 Ayori Mitsutake , Yoshiharu Mori , Yuko Okamoto

Quantum machine learning seeks to exploit the underlying nature of a quantum computer to enhance machine learning techniques. A particular framework uses the quantum property of superposition to store sets of parameters, thereby creating an…

量子物理 · 物理学 2020-01-30 Amira Abbas , Maria Schuld , Francesco Petruccione

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

机器学习 · 统计学 2017-09-20 Ruohui Wang , Dahua Lin

We propose a simple method for uniform sampling of points on the surface of a hypersphere in arbitrarily many dimensions. By avoiding the evaluation of computationally expensive functions like logarithms, sines, cosines, or higher order…

数值分析 · 数学 2022-05-02 Stefan Schnabel , Wolfhard Janke

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

统计方法学 · 统计学 2020-01-13 Shu Yang , Jae Kwang Kim

We study sampling problems associated with potentials that lack smoothness. The potentials can be either convex or non-convex. Departing from the standard smooth setting, the potentials are only assumed to be weakly smooth or non-smooth, or…

机器学习 · 计算机科学 2023-07-04 Jiaming Liang , Yongxin Chen

Enhanced sampling algorithms have emerged as powerful methods to extend the utility of molecular dynamics simulations and allow the sampling of larger portions of the configuration space of complex systems in a given amount of simulation…

统计力学 · 物理学 2022-12-19 Jérôme Hénin , Tony Lelièvre , Michael R. Shirts , Omar Valsson , Lucie Delemotte

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

机器学习 · 计算机科学 2021-02-17 Valérie Poulin , François Théberge

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

数据结构与算法 · 计算机科学 2015-12-01 Ka-Chun Wong

This paper considers clustered multi-task compressive sensing, a hierarchical model that solves multiple compressive sensing tasks by finding clusters of tasks that leverage shared information to mutually improve signal reconstruction. The…

信号处理 · 电气工程与系统科学 2023-10-03 Alexander Lin , Demba Ba

Besides tensor contractions, one of the most pronounced computational bottlenecks in the non-orthogonally spin-adapted forms of the quantum chemistry methods CCSDT and CCSDTQ, and their approximate forms---including CCSD(T) and…

数学软件 · 计算机科学 2017-05-19 Paul Springer , Devin Matthews , Paolo Bientinesi