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The demand for classical-quantum hybrid algorithms to solve large-scale combinatorial optimization problems using quantum annealing (QA) has increased. One approach involves obtaining an approximate solution using classical algorithms and…

Quantum Physics · Physics 2024-11-12 Taisei Takabayashi , Masayuki Ohzeki

Penalized quantile regression (QR) is widely used for studying the relationship between a response variable and a set of predictors under data heterogeneity in high-dimensional settings. Compared to penalized least squares, scalable…

Methodology · Statistics 2022-05-06 Rebeka Man , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

The support vector machines (SVM) is one of the most widely used and practical optimization based classification models in machine learning because of its interpretability and flexibility to produce high quality results. However, the big…

Machine Learning · Computer Science 2020-11-06 Ehsan Sadrfaridpour , Korey Palmer , Ilya Safro

Load forecasting has always been a challenge for grid operators due to the growing complexity of power systems. The increase in extreme weather and the need for energy from customers has led to load forecasting sometimes failing. This…

Signal Processing · Electrical Eng. & Systems 2025-10-09 Nishant Gadde , Yoshua Alexander , Sarvesh Parthasarthy , Arman Allidina

Multivariate data analysis techniques have the potential to improve physics analyses in many ways. The common classification problem of signal/background discrimination is one example. The Support Vector Machine learning algorithm is a…

High Energy Physics - Experiment · Physics 2009-11-07 A. Vaiciulis

This study demonstrates the application of quantum computing based quantum annealing to seismic traveltime inversion, a critical approach for inverting highly accurate velocity models. The seismic inversion problem is first converted into a…

Geophysics · Physics 2025-03-07 Hoang Anh Nguyen , Ali Tura

We study the stochastic Riemannian gradient algorithm for matrix eigen-decomposition. The state-of-the-art stochastic Riemannian algorithm requires the learning rate to decay to zero and thus suffers from slow convergence and sub-optimal…

Machine Learning · Computer Science 2016-05-30 Zhiqiang Xu , Yiping Ke

Support vector machine (SVM) is a powerful classification method that has achieved great success in many fields. Since its performance can be seriously impaired by redundant covariates, model selection techniques are widely used for SVM…

Machine Learning · Statistics 2022-07-25 Chaoxia Yuan , Chao Ying , Zhou Yu , Fang Fang

Turbulence modeling within the RANS equations' framework is essential in engineering due to its high efficiency. Field inversion and machine learning (FIML) techniques have improved RANS models' predictive capabilities for separated flows.…

Fluid Dynamics · Physics 2023-08-29 Chenyu Wu , Yufei Zhang

We present a novel methodology for automated feature subset selection from a pool of physiological signals using Quantum Annealing (QA). As a case study, we will investigate the effectiveness of QA-based feature selection techniques in…

Quantum Physics · Physics 2021-06-10 Rajdeep Kumar Nath , Himanshu Thapliyal , Travis S. Humble

Recent advances in quantum technology have led to the development and the manufacturing of programmable quantum annealers that promise to solve certain combinatorial optimization problems faster than their classical counterparts.…

Quantum Physics · Physics 2021-05-26 Yu-Lin Zheng , Wen Zhang , Cheng Zhou , Wei Geng

Support vector machines (SVMs) are a well-established classifier effectively deployed in an array of classification tasks. In this work, we consider extending classical SVMs with quantum kernels and applying them to satellite data analysis.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Artur Miroszewski , Jakub Mielczarek , Grzegorz Czelusta , Filip Szczepanek , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

Computational simulations with different fidelity have been widely used in engineering design. A high-fidelity (HF) model is generally more accurate but also more time-consuming than an low-fidelity (LF) model. To take advantages of both HF…

Machine Learning · Statistics 2021-08-12 Maolin Shi , Shuo Wang , Wei Sun , Liye Lv , Xueguan Song

The support vector machine (SVM) is a popular machine learning classification method which produces a nonlinear decision boundary in a feature space by constructing linear boundaries in a transformed Hilbert space. It is well known that…

Quantum Physics · Physics 2017-10-31 Rupak Chatterjee , Ting Yu

The development of next-generation autonomous control of fission systems, such as nuclear power plants, will require leveraging advancements in machine learning. For fission systems, accurate prediction of nuclear transport is important to…

Computational Physics · Physics 2021-06-01 Akshay J. Dave , Jiankai Yu , Jarod Wilson , Bren Phillips , Kaichao Sun , Benoit Forget

This work presents a machine learning approach based on support vector machines (SVMs) for quantum entanglement detection. Particularly, we focus in bipartite systems of dimensions 3x3, 4x4, and 5x5, where the positive partial transpose…

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

Machine Learning · Computer Science 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

Kernel-based machine learning algorithms are based on mapping data from the original input feature space to a kernel feature space of higher dimensionality to solve a linear problem in that space. Over the last decade, kernel based…

Computer Vision and Pattern Recognition · Computer Science 2011-01-18 Mahesh Pal

Deep learning models are used in critical applications, in which mistakes can have serious consequences. Therefore, it is crucial to understand how and why models generate predictions. This understanding provides useful information to check…

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

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