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Reinforcement Learning (RL) has become essential for eliciting complex reasoning capabilities in Large Language Models (LLMs). However, the substantial memory overhead of storing Key-Value (KV) caches during long-horizon rollouts acts as a…

Machine Learning · Computer Science 2026-03-31 Sijia Luo , Xiaokang Zhang , Yuxuan Hu , Bohan Zhang , Ke Wang , Jinbo Su , Mengshu Sun , Lei Liang , Jing Zhang

$L_1$ regularized logistic regression has now become a workhorse of data mining and bioinformatics: it is widely used for many classification problems, particularly ones with many features. However, $L_1$ regularization typically selects…

Machine Learning · Statistics 2015-02-12 Zhe Liu

Nowadays, several data analysis problems require for complexity reduction, mainly meaning that they target at removing the non-influential covariates from the model and at delivering a sparse model. When categorical covariates are present,…

Statistics Theory · Mathematics 2022-12-21 Lea Kaufmann , Maria Kateri

Combining information from different sources is a common way to improve classification accuracy in Brain-Computer Interfacing (BCI). For instance, in small sample settings it is useful to integrate data from other subjects or sessions in…

Machine Learning · Statistics 2013-10-24 Wojciech Samek , Alexander Binder , Klaus-Robert Müller

This paper introduces a novel approach for multi-task regression that connects Kernel Machines (KMs) and Extreme Learning Machines (ELMs) through the exploitation of the Random Fourier Features (RFFs) approximation of the RBF kernel. In…

In this paper we propose a new non-linear classifier based on a combination of locally linear classifiers. A well known optimization formulation is given as we cast the problem in a $\ell_1$ Multiple Kernel Learning (MKL) problem using many…

Machine Learning · Computer Science 2024-01-19 David Picard

The underlying physics of astronomical systems governs the relation between their measurable properties. Consequently, quantifying the statistical relationships between system-level observable properties of a population offers insights into…

Instrumentation and Methods for Astrophysics · Physics 2022-06-15 Arya Farahi , Dhayaa Anbajagane , August Evrard

Relating a set of variables X to a response y is crucial in chemometrics. A quantitative prediction objective can be enriched by qualitative data interpretation, for instance by locating the most influential features. When high-dimensional…

Machine Learning · Statistics 2023-04-21 Louna Alsouki , Laurent Duval , Clément Marteau , Rami El Haddad , François Wahl

Mixed linear regression (MLR) has attracted increasing attention because of its great theoretical and practical importance in capturing nonlinear relationships by utilizing a mixture of linear regression sub-models. Although considerable…

Machine Learning · Statistics 2025-03-25 Yujing Liu , Zhixin Liu , Lei Guo

The paper presents a new framework for complex Support Vector Regression as well as Support Vector Machines for quaternary classification. The method exploits the notion of widely linear estimation to model the input-out relation for…

Machine Learning · Computer Science 2016-11-15 Pantelis Bouboulis , Sergios Theodoridis , Charalampos Mavroforakis , Leoni Dalla

The use of machine learning methods helps to improve decision making in different fields. In particular, the idea of bridging predictions (machine learning models) and prescriptions (optimization problems) is gaining attention within the…

Optimization and Control · Mathematics 2022-11-22 Antonio Alcántara , Carlos Ruiz

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

Optimization and Control · Mathematics 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

Traditionally, kernel methods rely on the representer theorem which states that the solution to a learning problem is obtained as a linear combination of the data mapped into the reproducing kernel Hilbert space (RKHS). While elegant from…

Machine Learning · Computer Science 2021-08-30 Riikka Huusari , Sahely Bhadra , Cécile Capponi , Hachem Kadri , Juho Rousu

Multivariate classification methods using explanatory and predictive models are necessary for characterizing subgroups of patients according to their risk profiles. Popular methods include logistic regression and classification trees with…

Machine Learning · Computer Science 2015-11-23 Luca Talenti , Margaux Luck , Anastasia Yartseva , Nicolas Argy , Sandrine Houzé , Cecilia Damon

Logistic regression is the most commonly used method for constructing predictive models for binary responses. One significant drawback to this approach, however, is that the asymptotes of the logistic response function are fixed at 0 and 1,…

Methodology · Statistics 2026-02-09 Anthony Almudevar , Jacob Almudevar

The pseudo-likelihood method is one of the most popular algorithms for learning sparse binary pairwise Markov networks. In this paper, we formulate the $L_1$ regularized pseudo-likelihood problem as a sparse multiple logistic regression…

Machine Learning · Statistics 2017-04-10 Sinong Geng , Zhaobin Kuang , David Page

Motivated by a hemodialysis monitoring study, we propose a logistic model with a functional predictor, called the Sparse Functional Logistic Regression (SFLR), where the corresponding coefficient function is {\it locally sparse}, that is,…

Methodology · Statistics 2021-06-22 Yunnan Xu , Pang Du , John Robertson , Ryan Senger

In this paper, we propose the classification method based on a learning paradigm we are going to call Quantum Low Entropy based Associative Reasoning or QLEAR learning. The approach is based on the idea that classification can be understood…

Machine Learning · Computer Science 2017-05-31 Marko V. Jankovic

Sparsity of formal knowledge and roughness of non-ontological construction make sparsity problem particularly prominent in Open Knowledge Graphs (OpenKGs). Due to sparse links, learning effective representation for few-shot entities becomes…

Artificial Intelligence · Computer Science 2022-11-09 Qian Li , Shafiq Joty , Daling Wang , Shi Feng , Yifei Zhang

Session-based recommendation systems(SBRS) are more suitable for the current e-commerce and streaming media recommendation scenarios and thus have become a hot topic. The data encountered by SBRS is typically highly sparse, which also…

Information Retrieval · Computer Science 2023-08-31 Zihan Wang , Gang Wu , Haotong Wang
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