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We propose a new regression algorithm that learns from a set of input-output pairs. Our algorithm is designed for populations where the relation between the input variables and the output variable exhibits a heterogeneous behavior across…

Machine Learning · Computer Science 2026-02-17 Ş. İlker Birbil , Sinan Yıldırım , Samet Çopur , M. Hakan Akyüz

State-of-the-art methods for solving smooth optimization problems are nonlinear conjugate gradient, low memory BFGS, and Majorize-Minimize (MM) subspace algorithms. The MM subspace algorithm which has been introduced more recently has shown…

Optimization and Control · Mathematics 2016-08-24 Emilie Chouzenoux , Jean-Christophe Pesquet

An importance sampling and bagging approach to solving the support vector machine (SVM) problem in the context of large databases is presented and evaluated. Our algorithm builds on the nearest neighbors ideas presented in Camelo at al.…

Machine Learning · Statistics 2018-08-20 R. Bárcenas , M. D. Gónzalez--Lima , A. J. Quiroz

Ensembles based on k nearest neighbours (kNN) combine a large number of base learners, each constructed on a sample taken from a given training data. Typical kNN based ensembles determine the k closest observations in the training data…

Machine Learning · Statistics 2023-03-23 Amjad Ali , Muhammad Hamraz , Dost Muhammad Khan , Wajdan Deebani , Zardad Khan

Ensembles are popular methods for solving practical supervised learning problems. They reduce the risk of having underperforming models in production-grade software. Although critical, methods for learning heterogeneous regression ensembles…

Machine Learning · Computer Science 2018-04-18 Jihed Khiari , Luis Moreira-Matias , Ammar Shaker , Bernard Zenko , Saso Dzeroski

Feature correspondence selection is pivotal to many feature-matching based tasks in computer vision. Searching for spatially k-nearest neighbors is a common strategy for extracting local information in many previous works. However, there is…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Chen Zhao , Zhiguo Cao , Chi Li , Xin Li , Jiaqi Yang

The estimation of mutual information (MI) or conditional mutual information (CMI) from a set of samples is a long-standing problem. A recent line of work in this area has leveraged the approximation power of artificial neural networks and…

Information Theory · Computer Science 2021-10-27 Sina Molavipour , Germán Bassi , Mikael Skoglund

Let $k$ be a nonnegative integer. In the approximate $k$-flat nearest neighbor ($k$-ANN) problem, we are given a set $P \subset \mathbb{R}^d$ of $n$ points in $d$-dimensional space and a fixed approximation factor $c > 1$. Our goal is to…

Computational Geometry · Computer Science 2014-11-07 Wolfgang Mulzer , Huy L. Nguyen , Paul Seiferth , Yannik Stein

Several sampling algorithms with variance reduction have been proposed for accelerating the training of Graph Convolution Networks (GCNs). However, due to the intractable computation of optimal sampling distribution, these sampling…

Machine Learning · Computer Science 2020-06-12 Ziqi Liu , Zhengwei Wu , Zhiqiang Zhang , Jun Zhou , Shuang Yang , Le Song , Yuan Qi

We study predictive probability inference in classification tasks using random forests under class imbalance. We focus on two simplified variants of Breiman's algorithm, namely subsampling Infinite Random Forests (IRFs) and under-sampling…

Statistics Theory · Mathematics 2025-05-23 Moria Mayala , Olivier Wintenberger , Charles Tillier , Clément Dombry

Various kinds of k-nearest neighbor (KNN) based classification methods are the bases of many well-established and high-performance pattern-recognition techniques, but both of them are vulnerable to their parameter choice. Essentially, the…

Artificial Intelligence · Computer Science 2016-12-08 Ji Feng , Qingsheng Zhu , Jinlong Huang , Lijun Yang

Class imbalance poses a challenge for developing unbiased, accurate predictive models. In particular, in image segmentation neural networks may overfit to the foreground samples from small structures, which are often heavily…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Zeju Li , Konstantinos Kamnitsas , Ben Glocker

We characterize the squared prediction risk of ensemble estimators obtained through subagging (subsample bootstrap aggregating) regularized M-estimators and construct a consistent estimator for the risk. Specifically, we consider a…

Statistics Theory · Mathematics 2025-09-30 Takuya Koriyama , Pratik Patil , Jin-Hong Du , Kai Tan , Pierre C. Bellec

Deep neural networks (DNNs) are notorious for making more mistakes for the classes that have substantially fewer samples than the others during training. Such class imbalance is ubiquitous in clinical applications and very crucial to handle…

Machine Learning · Computer Science 2022-01-06 Sara Sangalli , Ertunc Erdil , Andreas Hoetker , Olivio Donati , Ender Konukoglu

Deep Learning (DL) methods show very good performance when trained on large, balanced data sets. However, many practical problems involve imbalanced data sets, or/and classes with a small number of training samples. The performance of DL…

Machine Learning · Computer Science 2017-02-07 Dolev Raviv , Margarita Osadchy

Imbalanced multiclass datasets pose challenges for machine learning algorithms. These datasets often contain minority classes that are important for accurate prediction. Existing methods still suffer from sparse data and may not accurately…

Machine Learning · Computer Science 2025-04-30 I Made Putrama , Peter Martinek

We study the active learning problem of top-$k$ ranking from multi-wise comparisons under the popular multinomial logit model. Our goal is to identify the top-$k$ items with high probability by adaptively querying sets for comparisons and…

Data Structures and Algorithms · Computer Science 2017-08-01 Xi Chen , Yuanzhi Li , Jieming Mao

In this study, we consider classification problems based on neural networks in data-imbalanced environment. Learning from an imbalanced data set is one of the most important and practical problems in the field of machine learning. A…

Machine Learning · Statistics 2019-12-02 Muneki Yasuda , Seishirou Ueno

The weighted nearest neighbors (WNN) estimator has been popularly used as a flexible and easy-to-implement nonparametric tool for mean regression estimation. The bagging technique is an elegant way to form WNN estimators with weights…

Machine Learning · Statistics 2022-07-19 Emre Demirkaya , Yingying Fan , Lan Gao , Jinchi Lv , Patrick Vossler , Jingbo Wang

The approximate nearest neighbor problem ($\epsilon$-ANN) in high dimensional Euclidean space has been mainly addressed by Locality Sensitive Hashing (LSH), which has polynomial dependence in the dimension, sublinear query time, but…

Computational Geometry · Computer Science 2016-12-06 Evangelos Anagnostopoulos , Ioannis Z. Emiris , Ioannis Psarros