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We introduce the implicitly constrained least squares (ICLS) classifier, a novel semi-supervised version of the least squares classifier. This classifier minimizes the squared loss on the labeled data among the set of parameters implied by…

Machine Learning · Statistics 2017-01-31 Jesse H. Krijthe , Marco Loog

We introduce a new methodology for analyzing serial data by quantile regression assuming that the underlying quantile function consists of constant segments. The procedure does not rely on any distributional assumption besides serial…

Methodology · Statistics 2020-09-09 Laura Jula Vanegas , Merle Behr , Axel Munk

Distribution regression seeks to estimate the conditional distribution of a multivariate response given a continuous covariate. This approach offers a more complete characterization of dependence than traditional regression methods.…

Statistics Theory · Mathematics 2025-06-10 Rong Tang , Yun Yang

Variational Level Set (LS) has been a widely used method in medical segmentation. However, it is limited when dealing with multi-instance objects in the real world. In addition, its segmentation results are quite sensitive to initial…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Ngan Le , Kha Gia Quach , Khoa Luu , Marios Savvides , Chenchen Zhu

Semi-supervised learning (SSL) has emerged as a promising paradigm for breast ultrasound (BUS) image segmentation, but it often suffers from unstable pseudo labels under extremely limited annotations, leading to inaccurate supervision and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Ruili Li , Jiayi Ding , Ruiyu Li , Yilun Jin , Shiwen Ge , Yuwen Zeng , Xiaoyong Zhang , Eichi Takaya , Jan Vrba , Noriyasu Homma

The Broad Learning System (BLS) has gained significant attention for its computational efficiency and less network parameters compared to deep learning structures. However, the standard BLS relies on the pseudoinverse solution, which…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Zijing Li

Regression aims at estimating the conditional mean of output given input. However, regression is not informative enough if the conditional density is multimodal, heteroscedastic, and asymmetric. In such a case, estimating the conditional…

Machine Learning · Computer Science 2014-04-29 Voot Tangkaratt , Ning Xie , Masashi Sugiyama

AutoML platforms have numerous options for the algorithms to try for each step of the analysis, i.e., different possible algorithms for imputation, transformations, feature selection, and modelling. Finding the optimal combination of…

Machine Learning · Computer Science 2024-01-19 Giorgos Borboudakis , Paulos Charonyktakis , Konstantinos Paraschakis , Ioannis Tsamardinos

We introduce a novel semi-supervised version of the least squares classifier. This implicitly constrained least squares (ICLS) classifier minimizes the squared loss on the labeled data among the set of parameters implied by all possible…

Machine Learning · Statistics 2015-07-27 Jesse H. Krijthe , Marco Loog

Region search is widely used for object localization. Typically, the region search methods project the score of a classifier into an image plane, and then search the region with the maximal score. The recently proposed region search…

Computer Vision and Pattern Recognition · Computer Science 2015-11-26 Ji Zhao , Deyu Meng , Jiayi Ma

Partial Least Squares (PLS) is a widely used method for data integration, designed to extract latent components shared across paired high-dimensional datasets. Despite decades of practical success, a precise theoretical understanding of its…

Machine Learning · Statistics 2025-12-18 Victor Léger , Florent Chatelain

A new statistical technique for constructing linear latent structure (LLS) models from available data, supported by well established theoretical results and an efficient algorithm, is presented. The method reduces the problem of estimating…

Statistics Theory · Mathematics 2007-06-13 I. Akushevich , M. Kovtun , A. I. Yashin , K. G. Manton

We present a novel adaptive random subspace learning algorithm (RSSL) for prediction purpose. This new framework is flexible where it can be adapted with any learning technique. In this paper, we tested the algorithm for regression and…

Machine Learning · Computer Science 2015-02-10 Mohamed Elshrif , Ernest Fokoue

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

Semi-weakly supervised semantic segmentation (SWSSS) aims to train a model to identify objects in images based on a small number of images with pixel-level labels, and many more images with only image-level labels. Most existing SWSSS…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Wonho Bae , Junhyug Noh , Milad Jalali Asadabadi , Danica J. Sutherland

In this work, we explore the theoretical properties of conditional deep generative models under the statistical framework of distribution regression where the response variable lies in a high-dimensional ambient space but concentrates…

Statistics Theory · Mathematics 2026-02-02 Shivam Kumar , Yun Yang , Lizhen Lin

Contextual stochastic optimization is an advanced methodology to model uncertainty in the presence of contextual information during decision planning processes. Although classical methodologies focus on minimizing the expectation of a…

Optimization and Control · Mathematics 2025-11-24 Man Yiu Tsang , Tony Sit , Hoi Ying Wong

Managing the dynamic regions in the photometric loss formulation has been a main issue for handling the self-supervised depth estimation problem. Most previous methods have alleviated this issue by removing the dynamic regions in the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Geonho Cha , Ho-Deok Jang , Dongyoon Wee

We establish data-driven versions of the System Level Synthesis (SLS) parameterization of achievable closed-loop system responses for a linear-time-invariant system over a finite-horizon. Inspired by recent work in data-driven control that…

Optimization and Control · Mathematics 2021-03-09 Anton Xue , Nikolai Matni

We establish the first global convergence result of neural networks for two stage least squares (2SLS) approach in nonparametric instrumental variable regression (NPIV). This is achieved by adopting a lifted perspective through mean-field…

Machine Learning · Statistics 2025-11-19 Zonghao Chen , Atsushi Nitanda , Arthur Gretton , Taiji Suzuki