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Gaussian processes (GP) are a widely used model for regression problems in supervised machine learning. Implementation of GP regression typically requires $O(n^3)$ logic gates. We show that the quantum linear systems algorithm [Harrow et…

Quantum Physics · Physics 2019-05-29 Zhikuan Zhao , Jack K. Fitzsimons , Joseph F. Fitzsimons

For a wide range of clinical applications, such as adaptive treatment planning or intraoperative image update, feature-based deformable registration (FDR) approaches are widely employed because of their simplicity and low computational…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Siming Bayer , Ute Spiske , Jie Luo , Tobias Geimer , William M. Wells , Martin Ostermeier , Rebecca Fahrig , Arya Nabavi , Christoph Bert , Ilker Eyupoglo , Andreas Maier

Variable selection for Gaussian process models is often done using automatic relevance determination, which uses the inverse length-scale parameter of each input variable as a proxy for variable relevance. This implicitly determined…

Methodology · Statistics 2019-04-24 Topi Paananen , Juho Piironen , Michael Riis Andersen , Aki Vehtari

Learned sparse and dense representations capture different successful approaches to text retrieval and the fusion of their results has proven to be more effective and robust. Prior work combines dense and sparse retrievers by fusing their…

Information Retrieval · Computer Science 2021-12-10 Sheng-Chieh Lin , Jimmy Lin

Gaussian processes are the leading class of distributions on random functions, but they suffer from well known issues including difficulty scaling and inflexibility with respect to certain shape constraints (such as nonnegativity). Here we…

Saddle point search schemes are widely used to identify the transition state of different processes, like chemical reactions, surface and bulk diffusion, surface adsorption, and many more. In solid-state materials with relatively large…

Materials Science · Physics 2024-02-22 Seyyedfaridoddin Fattahpour , Sara Kadkhodaei

In this paper, we study the problem of modeling users' diverse interests. Previous methods usually learn a fixed user representation, which has a limited ability to represent distinct interests of a user. In order to model users' various…

Information Retrieval · Computer Science 2018-05-21 Lei Zheng , Chun-Ta Lu , Lifang He , Sihong Xie , Vahid Noroozi , He Huang , Philip S. Yu

We introduce CUTS-GPR, a new method for performing numerically exact Gaussian process regression (GPR) in high-dimensional settings. The key component of CUTS-GPR is an extremely fast kernel matrix-vector product, which exhibits near-linear…

Machine Learning · Computer Science 2026-05-11 Mads Greisen Højlund , August Smart Lykke-Møller , Henry Moss , Ove Christiansen

GPRec explicitly categorizes users into groups in a learnable manner and aligns them with corresponding group embeddings. We design the dual group embedding space to offer a diverse perspective on group preferences by contrasting positive…

Information Retrieval · Computer Science 2024-10-29 Yejing Wang , Dong Xu , Xiangyu Zhao , Zhiren Mao , Peng Xiang , Ling Yan , Yao Hu , Zijian Zhang , Xuetao Wei , Qidong Liu

We develop Bayesian models for density regression with emphasis on discrete outcomes. The problem of density regression is approached by considering methods for multivariate density estimation of mixed scale variables, and obtaining…

Methodology · Statistics 2019-08-14 Georgios Papageorgiou

Gaussian Process Regression (GPR) is widely used for inferring functions from noisy data. GPR crucially relies on the choice of a kernel, which might be specified in terms of a collection of hyperparameters that must be chosen or learned.…

Numerical Analysis · Mathematics 2025-06-16 P. Michael Kielstra , Michael Lindsey

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

Gaussian process regression (GPR) model is well-known to be susceptible to outliers. Robust process regression models based on t-process or other heavy-tailed processes have been developed to address the problem. However, due to the nature…

Methodology · Statistics 2017-07-10 Wang Zhanfeng , Noh Maengseok , Lee Youngjo , Shi Jianqing

Accurate prediction of user consumption is a key part not only in understanding consumer flexibility and behavior patterns, but in the design of robust and efficient energy saving programs as well. Existing prediction methods usually have…

Machine Learning · Statistics 2017-02-22 Pan Li , Baosen Zhang , Yang Weng , Ram Rajagopal

Gaussian process models are commonly used as emulators for computer experiments. However, developing a Gaussian process emulator can be computationally prohibitive when the number of experimental samples is even moderately large. Local…

Methodology · Statistics 2018-09-26 Chih-Li Sung , Robert B. Gramacy , Benjamin Haaland

Recommenders aim to rank items from a discrete item corpus in line with user interests, yet suffer from extremely sparse user preference data. Recent advances in diffusion models have inspired diffusion-based recommenders, which alleviate…

Information Retrieval · Computer Science 2025-10-01 Guoqing Hu , An Zhang. Shuchang Liu , Wenyu Mao , Jiancan Wu , Xun Yang , Xiang Li , Lantao Hu , Han Li , Kun Gai , Xiang Wang

User preference modeling is a vital yet challenging problem in personalized product search. In recent years, latent space based methods have achieved state-of-the-art performance by jointly learning semantic representations of products,…

Information Retrieval · Computer Science 2022-02-15 Fan Lu , Qimai Li , Bo Liu , Xiao-Ming Wu , Xiaotong Zhang , Fuyu Lv , Guli Lin , Sen Li , Taiwei Jin , Keping Yang

In recent years the ultrahigh dimensional linear regression problem has attracted enormous attentions from the research community. Under the sparsity assumption most of the published work is devoted to the selection and estimation of the…

Methodology · Statistics 2013-05-01 Randy C. S. Lai , Jan Hannig , Thomas C. M. Lee

Cross-domain recommendation can help alleviate the data sparsity issue in traditional sequential recommender systems. In this paper, we propose the RecGURU algorithm framework to generate a Generalized User Representation (GUR)…

Information Retrieval · Computer Science 2021-11-22 Chenglin Li , Mingjun Zhao , Huanming Zhang , Chenyun Yu , Lei Cheng , Guoqiang Shu , Beibei Kong , Di Niu

Outlier detection of semiconductor devices is important since manufacturing variation is inherently inevitable. In order to properly detect outliers, it is necessary to consider the discrepancy from underlying trend. Conventional methods…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Kyohei Shimozato , Michihiro Shintani , Takashi Sato