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We study the trajectory of iterations and the convergence rates of the Expectation-Maximization (EM) algorithm for two-component Mixed Linear Regression (2MLR). The fundamental goal of MLR is to learn the regression models from unlabeled…

Machine Learning · Computer Science 2024-06-05 Zhankun Luo , Abolfazl Hashemi

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu

The Predictive Normalized Maximum Likelihood (pNML) scheme has been recently suggested for universal learning in the individual setting, where both the training and test samples are individual data. The goal of universal learning is to…

Machine Learning · Computer Science 2020-01-09 Koby Bibas , Yaniv Fogel , Meir Feder

The Manta Ray Foraging Optimization algorithm (MRFO) has proven to be a powerful heuristic strategy in the optimal solution of a large number of engineering problems. In this paper, an improvement of MRFO with Levy Flight is suggested for…

Neural and Evolutionary Computing · Computer Science 2026-05-19 Adrian Rubio-Solis

Online optimization with memory costs has many real-world applications, where sequential actions are made without knowing the future input. Nonetheless, the memory cost couples the actions over time, adding substantial challenges.…

Machine Learning · Computer Science 2023-05-02 Pengfei Li , Jianyi Yang , Shaolei Ren

This paper explores the potential of extreme learning machine based supervised classification algorithm for land cover classification. In comparison to a backpropagation neural network, which requires setting of several user-defined…

Neural and Evolutionary Computing · Computer Science 2019-07-02 Mahesh Pal

The expectation-maximization (EM) algorithm and its variants are widely used in statistics. In high-dimensional mixture linear regression, the model is assumed to be a finite mixture of linear regression and the number of predictors is much…

Statistics Theory · Mathematics 2023-07-24 Ning Wang , Xin Zhang , Qing Mai

Reconfigurable intelligent surface (RIS)-assisted orthogonal frequency division multiplexing (OFDM) systems have aroused extensive research interests due to the controllable communication environment and the performance of combating…

Signal Processing · Electrical Eng. & Systems 2021-10-27 Chaojin Qing , Li Wang , Lei Dong , Jiafan Wang

Contrastive representation learning has emerged as an outstanding approach for anomaly detection. In this work, we explore the $\ell_2$-norm of contrastive features and its applications in out-of-distribution detection. We propose a simple…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Tai Le-Gia , Jaehyun Ahn

This paper considers the problem of recovering signals modeled by generative models from linear measurements contaminated with sparse outliers. We propose an outlier detection approach for reconstructing the ground-truth signals modeled by…

Machine Learning · Statistics 2023-10-17 Jirong Yi , Jingchao Gao , Tianming Wang , Xiaodong Wu , Weiyu Xu

Optimal Learning Machines (OLM) are systems that extract maximally informative representation of the environment they are in contact with, or of the data they are presented. It has recently been suggested that these systems are…

Data Analysis, Statistics and Probability · Physics 2020-01-29 Matteo Marsili

Anomaly detecting as an important technical in cloud computing is applied to support smooth running of the cloud platform. Traditional detecting methods based on statistic, analysis, etc. lead to the high false-alarm rate due to…

Machine Learning · Computer Science 2019-01-29 Jing Zhang

Machine Learning is proving invaluable across disciplines. However, its success is often limited by the quality and quantity of available data, while its adoption by the level of trust that models afford users. Human vs. machine performance…

Fiber nonlinear interference (NLI) modeling and monitoring are the key building blocks to support elastic optical networks (EONs). In the past, they were normally developed and investigated separately. Moreover, the accuracy of the…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Qunbi Zhuge , Xiaobo Zeng , Huazhi Lun , Meng Cai , Xiaomin Liu , Weisheng Hu

Consider semi-supervised learning for classification, where both labeled and unlabeled data are available for training. The goal is to exploit both datasets to achieve higher prediction accuracy than just using labeled data alone. We…

Machine Learning · Statistics 2019-06-20 Xinwei Zhang , Zhiqiang Tan

Designing deep neural network classifiers that perform robustly on distributions differing from the available training data is an active area of machine learning research. However, out-of-distribution generalization for regression-the…

Machine Learning · Computer Science 2024-01-01 Benjamin Eyre , Elliot Creager , David Madras , Vardan Papyan , Richard Zemel

Expected risk minimization (ERM) is at the core of many machine learning systems. This means that the risk inherent in a loss distribution is summarized using a single number - its average. In this paper, we propose a general approach to…

Machine Learning · Computer Science 2023-01-24 Christian Fröhlich , Robert C. Williamson

Parameter estimation of mixture regression model using the expectation maximization (EM) algorithm is highly sensitive to outliers. Here we propose a fast and efficient robust mixture regression algorithm, called Component-wise Adaptive…

Methodology · Statistics 2021-04-20 Wennan Chang , Xinyu Zhou , Yong Zang , Chi Zhang , Sha Cao

The $\ell_0$-constrained empirical risk minimization ($\ell_0$-ERM) is a promising tool for high-dimensional statistical estimation. The existing analysis of $\ell_0$-ERM estimator is mostly on parameter estimation and support recovery…

Statistics Theory · Mathematics 2020-01-22 Xiao-Tong Yuan , Ping Li

We present a general methodology for using unlabeled data to design semi supervised learning (SSL) variants of the Empirical Risk Minimization (ERM) learning process. Focusing on generalized linear regression, we analyze of the…

Machine Learning · Statistics 2022-03-08 Oren Yuval , Saharon Rosset