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In the noisy intermediate-scale quantum (NISQ) era, the capabilities of variational quantum algorithms are greatly constrained due to a limited number of qubits and the shallow depth of quantum circuits. We may view these variational…

Quantum Physics · Physics 2024-11-05 Yabo Wang , Xin Wang , Bo Qi , Daoyi Dong

Quantum Support Vector Machines (QSVM) have become an important tool in research and applications of quantum kernel methods. In this work we propose a boosting approach for building ensembles of QSVM models and assess performance…

Machine learning techniques have led to broad adoption of a statistical model of computing. The statistical distributions natively available on quantum processors are a superset of those available classically. Harnessing this attribute has…

Boosting methods are widely used in statistical learning to deal with high-dimensional data due to their variable selection feature. However, those methods lack straightforward ways to construct estimators for the precision of the…

Methodology · Statistics 2021-06-10 Boyao Zhang , Colin Griesbach , Cora Kim , Nadia Müller-Voggel , Elisabeth Bergherr

Latent Gaussian models and boosting are widely used techniques in statistics and machine learning. Tree-boosting shows excellent prediction accuracy on many data sets, but potential drawbacks are that it assumes conditional independence of…

Machine Learning · Computer Science 2022-08-24 Fabio Sigrist

Studying the computational complexity and designing fast algorithms for determining winners under voting rules are classical and fundamental questions in computational social choice. In this paper, we accelerate voting by leveraging quantum…

Computers and Society · Computer Science 2023-06-12 Ao Liu , Qishen Han , Lirong Xia , Nengkun Yu

Boosting combines weak (biased) learners to obtain effective learning algorithms for classification and prediction. In this paper, we show a connection between boosting and kernel-based methods, highlighting both theoretical and practical…

Machine Learning · Statistics 2017-04-14 Aleksandr Y. Aravkin , Giulio Bottegal , Gianluigi Pillonetto

Boosting methods have been introduced in the late 1980's. They were born following the theoritical aspect of PAC learning. The main idea of boosting methods is to combine weak learners to obtain a strong learner. The weak learners are…

Machine Learning · Computer Science 2023-10-31 Perceval Beja-Battais

We introduce PatternBoost, a flexible method for finding interesting constructions in mathematics. Our algorithm alternates between two phases. In the first ``local'' phase, a classical search algorithm is used to produce many desirable…

Combinatorics · Mathematics 2024-11-04 François Charton , Jordan S. Ellenberg , Adam Zsolt Wagner , Geordie Williamson

Boosting techniques from the field of statistical learning have grown to be a popular tool for estimating and selecting predictor effects in various regression models and can roughly be separated in two general approaches, namely gradient…

Methodology · Statistics 2019-12-16 Colin Griesbach , Andreas Groll , Elisabeth Waldmann

In machine learning ensemble methods have demonstrated high accuracy for the variety of problems in different areas. Two notable ensemble methods widely used in practice are gradient boosting and random forests. In this paper we present…

Machine Learning · Statistics 2018-09-24 Alex Rogozhnikov , Tatiana Likhomanenko

Quantum error mitigation is an important technique to reduce the impact of noise in quantum computers. With more and more qubits being supported on quantum computers, there are two emerging fundamental challenges. First, the number of shots…

Quantum Physics · Physics 2025-01-14 Dror Baron , Hrushikesh Pramod Patil , Huiyang Zhou

We study online boosting, the task of converting any weak online learner into a strong online learner. Based on a novel and natural definition of weak online learnability, we develop two online boosting algorithms. The first algorithm is an…

Machine Learning · Computer Science 2015-02-10 Alina Beygelzimer , Satyen Kale , Haipeng Luo

Majority vote is a basic method for amplifying correct outcomes that is widely used in computer science and beyond. While it can amplify the correctness of a quantum device with classical output, the analogous procedure for quantum output…

Quantum Physics · Physics 2022-11-22 Harry Buhrman , Noah Linden , Laura Mančinska , Ashley Montanaro , Maris Ozols

The use of multivariate classifiers has become commonplace in particle physics. To enhance the performance, a series of classifiers is typically trained; this is a technique known as boosting. This paper explores several novel boosting…

High Energy Physics - Experiment · Physics 2015-06-23 Alex Rogozhnikov , Aleksandar Bukva , Vladimir Gligorov , Andrey Ustyuzhanin , Mike Williams

Motivation: With the growth of big data, variable selection has become one of the major challenges in statistics. Although many methods have been proposed in the literature their performance in terms of recall and precision are limited in a…

Consideration of the primal and dual problems together leads to important new insights into the characteristics of boosting algorithms. In this work, we propose a general framework that can be used to design new boosting algorithms. A wide…

Artificial Intelligence · Computer Science 2011-12-13 Chunhua Shen , Hanxi Li , Nick Barnes

Pattern recognition applications often suffer from skewed data distributions between classes, which may vary during operations w.r.t. the design data. Two-class classification systems designed using skewed data tend to recognize the…

Machine Learning · Computer Science 2019-12-02 Roghayeh Soleymani , Eric Granger , Giorgio Fumera

The classic algorithm AdaBoost allows to convert a weak learner, that is an algorithm that produces a hypothesis which is slightly better than chance, into a strong learner, achieving arbitrarily high accuracy when given enough training…

Machine Learning · Computer Science 2022-11-28 Kasper Green Larsen , Martin Ritzert

The agnostic setting is the hardest generalization of the PAC model since it is akin to learning with adversarial noise. In this paper, we give a poly$(n,t,{\frac{1}{\varepsilon}})$ quantum algorithm for learning size $t$ decision trees…

Quantum Physics · Physics 2024-03-07 Sagnik Chatterjee , Tharrmashastha SAPV , Debajyoti Bera