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Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer,…

Quantum Physics · Physics 2014-10-01 Patrick Rebentrost , Masoud Mohseni , Seth Lloyd

Kernel estimation techniques, such as mean shift, suffer from one major drawback: the kernel bandwidth selection. The bandwidth can be fixed for all the data set or can vary at each points. Automatic bandwidth selection becomes a real…

Computer Vision and Pattern Recognition · Computer Science 2011-11-10 Aurelie Bugeau , Patrick Pérez

Understanding the structural and functional characteristics of proteins are crucial for developing preventative and curative strategies that impact fields from drug discovery to policy development. An important and popular technique for…

Machine Learning · Computer Science 2024-10-17 Sarwan Ali , Taslim Murad , Prakash Chourasia , Haris Mansoor , Imdad Ullah Khan , Pin-Yu Chen , Murray Patterson

After the recent ground-breaking advances in protein structure prediction, one of the remaining challenges in protein machine learning is to reliably predict distributions of structural states. Parametric models of fluctuations are…

Machine Learning · Computer Science 2024-01-25 Marloes Arts , Jes Frellsen , Wouter Boomsma

The capability of accurate prediction of protein functions and properties is essential in the biotechnology industry, e.g. drug development and artificial protein synthesis, etc. The main challenges of protein function prediction are the…

Quantitative Methods · Quantitative Biology 2021-12-02 Wei-Cheng Tseng , Po-Han Chi , Jia-Hua Wu , Min Sun

Many kinds of data are naturally amenable to being treated as sequences. An example is text data, where a text may be seen as a sequence of words. Another example is clickstream data, where a data instance is a sequence of clicks made by a…

Machine Learning · Computer Science 2019-10-31 Abhishek Ghose

In this paper we introduce a novel method for linear system identification with quantized output data. We model the impulse response as a zero-mean Gaussian process whose covariance (kernel) is given by the recently proposed stable spline…

Systems and Control · Computer Science 2015-04-28 Giulio Bottegal , Gianluigi Pillonetto , Håkan Hjalmarsson

In today's data driven world, storing, processing, and gleaning insights from large-scale data are major challenges. Data compression is often required in order to store large amounts of high-dimensional data, and thus, efficient inference…

Machine Learning · Statistics 2018-09-11 Denali Molitor , Deanna Needell

Genetic information is encoded in a linear sequence of nucleotides, represented by letters ranging from thousands to billions. Mutations refer to changes in the DNA or RNA nucleotide sequence. Thus, mutation detection is vital in all areas…

The paper presents a new framework for complex Support Vector Regression as well as Support Vector Machines for quaternary classification. The method exploits the notion of widely linear estimation to model the input-out relation for…

Machine Learning · Computer Science 2016-11-15 Pantelis Bouboulis , Sergios Theodoridis , Charalampos Mavroforakis , Leoni Dalla

Biological sequence comparison is a key step in inferring the relatedness of various organisms and the functional similarity of their components. Thanks to the Next Generation Sequencing efforts, an abundance of sequence data is now…

Machine Learning · Computer Science 2016-09-13 Dhananjay Kimothi , Akshay Soni , Pravesh Biyani , James M. Hogan

In population genetics, there is often interest in inferring selection coefficients. This task becomes more challenging if multiple linked selected loci are considered simultaneously. For such a situation, we propose a novel generalized…

Methodology · Statistics 2025-12-17 Ritabrata Dutta , Yuehao Xu , Sherman Khoo , Francesca Basini , Andreas Futschik

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

Machine Learning · Computer Science 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

Since their emergence in the 1990's, the support vector machine and the AdaBoost algorithm have spawned a wave of research in statistical machine learning. Much of this new research falls into one of two broad categories: kernel methods and…

Methodology · Statistics 2008-04-15 Mu Zhu

A nonparametric kernel density estimator for directional-linear data is introduced. The proposal is based on a product kernel accounting for the different nature of both (directional and linear) components of the random vector. Expressions…

Kernel density estimation is a widely used nonparametric approach to estimate an unknown distribution. Recent work in Bayesian predictive inference has considered stochastic processes formed by specifying the predictive distribution for the…

Methodology · Statistics 2026-05-15 Torey Hilbert

Kernel methods are one of the mainstays of machine learning, but the problem of kernel learning remains challenging, with only a few heuristics and very little theory. This is of particular importance in methods based on estimation of…

Machine Learning · Statistics 2016-06-03 Seth Flaxman , Dino Sejdinovic , John P. Cunningham , Sarah Filippi

This work explores new classes of nonstationary stochastic sequences associated with polynomial hypergroups. Their covariance structures are analyzed through positive definite kernels and corresponding Hilbert spaces. Novel consistent…

Functional Analysis · Mathematics 2024-11-27 Volker Hösel

Herding and kernel herding are deterministic methods of choosing samples which summarise a probability distribution. A related task is choosing samples for estimating integrals using Bayesian quadrature. We show that the criterion minimised…

Machine Learning · Computer Science 2016-07-15 Ferenc Huszar , David Duvenaud

Herding and kernel herding are deterministic methods of choosing samples which summarise a probability distribution. A related task is choosing samples for estimating integrals using Bayesian quadrature. We show that the criterion minimised…

Machine Learning · Statistics 2016-07-18 Ferenc Huszár , David Duvenaud