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Kernel methods play a critical role in many machine learning algorithms. They are useful in manifold learning, classification, clustering and other data analysis tasks. Setting the kernel's scale parameter, also referred to as the kernel's…

Machine Learning · Computer Science 2019-06-06 Ofir Lindenbaum , Moshe Salhov , Arie Yeredor , Amir Averbuch

We propose a novel methodology for general multi-class classification in arbitrary feature spaces, which results in a potentially well-calibrated classifier. Calibrated classifiers are important in many applications because, in addition to…

Machine Learning · Statistics 2023-02-22 Raoul Heese , Jochen Schmid , Michał Walczak , Michael Bortz

In order to compare and benchmark the mathematical software, the performance profiles have been introduced [1]. However, it has been proved that the algorithm is not flawless. The main issue with the performance profile is that it may rank…

Optimization and Control · Mathematics 2020-01-31 Rasoul Hekmati , Hanieh Mirhajianmoghadam

We review machine learning methods employing positive definite kernels. These methods formulate learning and estimation problems in a reproducing kernel Hilbert space (RKHS) of functions defined on the data domain, expanded in terms of a…

Statistics Theory · Mathematics 2009-09-29 Thomas Hofmann , Bernhard Schölkopf , Alexander J. Smola

Feature selection plays a crucial role in improving predictive accuracy by identifying relevant features while filtering out irrelevant ones. This study investigates the importance of effective feature selection in enhancing the performance…

Machine Learning · Computer Science 2024-03-12 Younes Ghazagh Jahed , Seyyed Ali Sadat Tavana

Collaborative filtering is the simplest but oldest machine learning algorithm in the field of recommender systems. In spite of its long history, it remains a discussion topic in research venues. Usually people use users/items whose…

Information Retrieval · Computer Science 2023-03-09 Hao Wang

Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

Machine Learning · Computer Science 2026-02-19 Jiang Yuhan , Matthew Otten

Model performance evaluation is a critical and expensive task in machine learning and computer vision. Without clear guidelines, practitioners often estimate model accuracy using a one-time completely random selection of the data. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Riccardo Fogliato , Pratik Patil , Mathew Monfort , Pietro Perona

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

Efficient benchmarking techniques aim to lower the computational cost of evaluating LLMs by predicting full benchmark scores using only a subset of a benchmark's questions. By reframing this problem as an instance of multiple regression…

Machine Learning · Statistics 2026-05-26 Sam Bowyer , Acyr Locatelli , Kris Cao

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

Machine Learning · Computer Science 2018-11-02 Yaqiang Yao , Huanhuan Chen

We tackle the problem of Selective Classification where the objective is to achieve the best performance on a predetermined ratio (coverage) of the dataset. Recent state-of-the-art selective methods come with architectural changes either…

Machine Learning · Computer Science 2023-03-03 Leo Feng , Mohamed Osama Ahmed , Hossein Hajimirsadeghi , Amir Abdi

A highly comparative, feature-based approach to time series classification is introduced that uses an extensive database of algorithms to extract thousands of interpretable features from time series. These features are derived from across…

Machine Learning · Computer Science 2017-11-10 Ben D. Fulcher , Nick S. Jones

In a typical Internet-of-Things setting that involves scientific applications, a target computation can be evaluated in many different ways depending on the split of computations among various devices. On the one hand, different…

Performance · Computer Science 2022-08-09 Aravind Sankaran , Paolo Bientinesi

Classifiers label data as belonging to one of a set of groups based on input features. It is challenging to obtain accurate classification performance when the feature distributions in the different classes are complex, with nonlinear,…

Machine Learning · Statistics 2021-10-06 Didong Li , David B Dunson

In this paper, we formulate a new generalized reference kernel hoping to improve the original base kernel using a set of reference vectors. Depending on the selected reference vectors, our formulation shows similarities to approximate…

Machine Learning · Computer Science 2022-05-05 Jenni Raitoharju , Alexandros Iosifidis

Fairness has been a critical issue that affects the adoption of deep learning models in real practice. To improve model fairness, many existing methods have been proposed and evaluated to be effective in their own contexts. However, there…

Machine Learning · Computer Science 2024-03-26 Junjie Yang , Jiajun Jiang , Zeyu Sun , Junjie Chen

This work introduces two strategies for training network classifiers with heterogeneous agents. One strategy promotes global smoothing over the graph and a second strategy promotes local smoothing over neighbourhoods. It is assumed that the…

Artificial Intelligence · Computer Science 2019-11-13 Elsa Rizk , Roula Nassif , Ali H. Sayed

In this paper, we propose a special fusion method for combining ensembles of base classifiers utilizing new neural networks in order to improve overall efficiency of classification. While ensembles are designed such that each classifier is…

Machine Learning · Computer Science 2009-12-08 Mehdi Salkhordeh Haghighi , Hadi Sadoghi Yazdi , Abedin Vahedian , Hamed Modaghegh

Demands for minimum parameter setup in machine learning models are desirable to avoid time-consuming optimization processes. The $k$-Nearest Neighbors is one of the most effective and straightforward models employed in numerous problems.…

Machine Learning · Computer Science 2022-10-03 Danilo Samuel Jodas , Leandro Aparecido Passos , Ahsan Adeel , João Paulo Papa