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When estimating a regression model, we might have data where some labels are missing, or our data might be biased by a selection mechanism. When the response or selection mechanism is ignorable (i.e., independent of the response variable…

Statistics Theory · Mathematics 2023-08-22 Philip Boeken , Noud de Kroon , Mathijs de Jong , Joris M. Mooij , Onno Zoeter

Analysis of multivariate healthcare time series data is inherently challenging: irregular sampling, noisy and missing values, and heterogeneous patient groups with different dynamics violating exchangeability. In addition, interpretability…

Machine Learning · Computer Science 2023-11-15 Onur Poyraz , Pekka Marttinen

This paper studies the problem of interacting multiple model (IMM) estimation for jump Markov linear systems with unknown measurement noise covariance. The system state and the unknown covariance are jointly estimated in the framework of…

Systems and Control · Computer Science 2014-11-06 Wenling Li , Yingmin Jia

We advance both the theory and practice of robust $\ell_p$-quasinorm regression for $p \in (0,1]$ by using novel variants of iteratively reweighted least-squares (IRLS) to solve the underlying non-smooth problem. In the convex case, $p=1$,…

Optimization and Control · Mathematics 2022-10-14 Liangzu Peng , Christian Kümmerle , René Vidal

Existing regression models tend to fall short in both accuracy and uncertainty estimation when the label distribution is imbalanced. In this paper, we propose a probabilistic deep learning model, dubbed variational imbalanced regression…

Machine Learning · Computer Science 2024-11-12 Ziyan Wang , Hao Wang

Neural networks trained on real-world datasets with long-tailed label distributions are biased towards frequent classes and perform poorly on infrequent classes. The imbalance in the ratio of positive and negative samples for each class…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Kevin Duarte , Yogesh S. Rawat , Mubarak Shah

Recent advancements in Mixed Integer Optimization (MIO) algorithms, paired with hardware enhancements, have led to significant speedups in resolving MIO problems. These strategies have been utilized for optimal subset selection,…

Methodology · Statistics 2024-03-27 Madhav Sankaranarayanan , Intekhab Hossain , Tom Chen

Often in real-world datasets, especially in high dimensional data, some feature values are missing. Since most data analysis and statistical methods do not handle gracefully missing values, the first step in the analysis requires the…

Machine Learning · Statistics 2016-12-08 Yehezkel S. Resheff , Daphna Weinshall

A common challenge faced in practical supervised learning, such as medical image processing and robotic interactions, is that there are plenty of tasks but each task cannot afford to collect enough labeled examples to be learned in…

Machine Learning · Computer Science 2020-06-22 Weihao Kong , Raghav Somani , Sham Kakade , Sewoong Oh

Deep metric learning (DML) has received much attention in deep learning due to its wide applications in computer vision. Previous studies have focused on designing complicated losses and hard example mining methods, which are mostly…

Machine Learning · Computer Science 2020-06-19 Qi Qi , Yan Yan , Xiaoyu Wang , Tianbao Yang

Automated Machine Learning has grown very successful in automating the time-consuming, iterative tasks of machine learning model development. However, current methods struggle when the data is imbalanced. Since many real-world datasets are…

Machine Learning · Computer Science 2022-11-02 Prabhant Singh , Joaquin Vanschoren

Label Distribution Learning (LDL) is a novel machine learning paradigm that addresses the problem of label ambiguity and has found widespread applications. Obtaining complete label distributions in real-world scenarios is challenging, which…

Machine Learning · Computer Science 2024-10-18 Zhiqiang Kou , Haoyuan Xuan , Jing Wang , Yuheng Jia , Xin Geng

The Seemingly Unrelated Regressions (SUR) model is a wide used estimation procedure in econometrics, insurance and finance, where very often, the regression model contains more than one equation. Unknown parameters, regression coefficients…

Methodology · Statistics 2021-07-05 Giovanni Saraceno , Fatemah Alqallaf , Claudio Agostinelli

Robust subspace estimation is fundamental to many machine learning and data analysis tasks. Iteratively Reweighted Least Squares (IRLS) is an elegant and empirically effective approach to this problem, yet its theoretical properties remain…

Machine Learning · Statistics 2026-03-11 Gilad Lerman , Kang Li , Tyler Maunu , Teng Zhang

For over two decades, detecting rare events has been a challenging task among researchers in the data mining and machine learning domain. Real-life problems inspire researchers to navigate and further improve data processing and algorithmic…

Machine Learning · Computer Science 2025-09-09 Elaheh Jafarigol , Theodore Trafalis , Neshat Mohammadi

We introduce 'mixed LICORS', an algorithm for learning nonlinear, high-dimensional dynamics from spatio-temporal data, suitable for both prediction and simulation. Mixed LICORS extends the recent LICORS algorithm (Goerg and Shalizi, 2012)…

Methodology · Statistics 2015-07-27 Georg M. Goerg , Cosma Rohilla Shalizi

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

Multi-view data have been routinely collected in various fields of science and engineering. A general problem is to study the predictive association between multivariate responses and multi-view predictor sets, all of which can be of high…

Methodology · Statistics 2018-07-30 Gen Li , Xiaokang Liu , Kun Chen

We describe $k$-MLE, a fast and efficient local search algorithm for learning finite statistical mixtures of exponential families such as Gaussian mixture models. Mixture models are traditionally learned using the expectation-maximization…

Machine Learning · Computer Science 2016-11-15 Frank Nielsen

Unsupervised mixture learning (UML) aims at identifying linearly or nonlinearly mixed latent components in a blind manner. UML is known to be challenging: Even learning linear mixtures requires highly nontrivial analytical tools, e.g.,…

Machine Learning · Computer Science 2022-10-17 Qi Lyu , Xiao Fu