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In this paper, we aim to develop a simple and scalable reinforcement learning algorithm that uses standard supervised learning methods as subroutines. Our goal is an algorithm that utilizes only simple and convergent maximum likelihood loss…

Machine Learning · Computer Science 2019-10-09 Xue Bin Peng , Aviral Kumar , Grace Zhang , Sergey Levine

We present combinatorial approximation algorithms for the weighted correlation clustering problem. In this problem, we have a set of vertices and two weight values for each pair of vertices, denoting their difference and similarity. The…

Data Structures and Algorithms · Computer Science 2025-07-16 Mojtaba Ostovari , Alireza Zarei

Ordinal regression (OR) is a special multiclass classification problem where an order relation exists among the labels. Recent years, people share their opinions and sentimental judgments conveniently with social networks and E-Commerce so…

Machine Learning · Computer Science 2018-12-21 Yong Shi , Huadong Wang , Xin Shen , Lingfeng Niu

The aim of ordinal classification is to predict the ordered labels of the output from a set of observed inputs. Interval-valued data refers to data in the form of intervals. For the first time, interval-valued data and interval-valued…

Methodology · Statistics 2023-11-06 Aleix Alcacer , Marina Martínez-Garcia , Irene Epifanio

Generalisation of a deep neural network (DNN) is one major concern when employing the deep learning approach for solving practical problems. In this paper we propose a new technique, named approximated orthonormal normalisation (AON), to…

Machine Learning · Computer Science 2020-01-15 Guoqiang Zhang , Kenta Niwa , W. B. Kleijn

We study the Euclidean minimum weight perfect matching problem for $n$ points in the plane. It is known that any deterministic approximation algorithm whose approximation ratio depends only on $n$ requires at least $\Omega(n \log n)$ time.…

Computational Geometry · Computer Science 2026-01-09 Stefan Hougardy , Karolina Tammemaa

Group Ordered Weighted $L_{1}$-Norm (Group OWL) regularized models have emerged as a useful procedure for high-dimensional sparse multi-task learning with correlated features. Proximal gradient methods are used as standard approaches to…

Machine Learning · Computer Science 2025-04-09 Runxue Bao , Quanchao Lu , Yanfu Zhang

This paper deals with an extension of the Support Vector Machine (SVM) for classification problems where, in addition to maximize the margin, i.e., the width of strip defined by the two supporting hyperplanes, the minimum of the ordered…

Optimization and Control · Mathematics 2021-07-15 Alfredo Marín , Luisa I. Martínez-Merino , Justo Puerto , Antonio M. Rodríguez-Chía

Given complex numbers $w_1, \ldots, w_n$, we define the weight $w(X)$ of a set $X$ of 0-1 vectors as the sum of $w_1^{x_1} \cdots w_n^{x_n}$ over all vectors $(x_1, \ldots, x_n)$ in $X$. We present an algorithm, which for a set $X$ defined…

Combinatorics · Mathematics 2019-08-15 Alexander Barvinok , Guus Regts

We propose a metric -- Projection Norm -- to predict a model's performance on out-of-distribution (OOD) data without access to ground truth labels. Projection Norm first uses model predictions to pseudo-label test samples and then trains a…

Machine Learning · Computer Science 2022-02-14 Yaodong Yu , Zitong Yang , Alexander Wei , Yi Ma , Jacob Steinhardt

In the load balancing problem, the input is an $n$-vertex bipartite graph $G = (C \cup S, E)$ and a positive weight for each client $c \in C$. The algorithm must assign each client $c \in C$ to an adjacent server $s \in S$. The load of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-26 Sepehr Assadi , Aaron Bernstein , Zachary Langley

The main goal in this paper is to propose a new method for deriving oracle inequalities related to the exponential weighting method. For the sake of simplicity we focus on recovering an unknown vector from noisy data with the help of a…

Statistics Theory · Mathematics 2012-11-20 Elena Chernousova , Yuri Golubev , Katerina Krymova

Tuning the regularization parameter in penalized regression models is an expensive task, requiring multiple models to be fit along a path of parameters. Strong screening rules drastically reduce computational costs by lowering the…

Machine Learning · Statistics 2025-05-07 Fabio Feser , Marina Evangelou

We propose a new method for high-dimensional semi-supervised learning problems based on the careful aggregation of the results of a low-dimensional procedure applied to many axis-aligned random projections of the data. Our primary goal is…

Methodology · Statistics 2023-04-19 Tengyao Wang , Edgar Dobriban , Milana Gataric , Richard J. Samworth

Looking for sparsity is nowadays crucial to speed up the training of large-scale neural networks. Projections onto the $\ell_{1,2}$ and $\ell_{1,\infty}$ are among the most efficient techniques to sparsify and reduce the overall cost of…

Machine Learning · Computer Science 2025-02-28 Guillaume Perez , Laurent Condat , Michel Barlaud

Extending generalized estimating equations (GEE) to ordinal response data requires a conversion of the ordinal response to a vector of binary category indicators. That leads to a rather complicated association structure, and the…

Methodology · Statistics 2017-05-23 Aristidis K. Nikoloulopoulos

In this paper we develop a new family of Ordered Weighted Averaging (OWA) operators. Weight vector is obtained from a desired orness of the operator. Using Faulhaber's formulas we obtain direct and simple expressions for the weight vector…

Artificial Intelligence · Computer Science 2018-02-01 Oscar Duarte , Sandra Téllez

The main contributions of this paper are the proposition and the convergence analysis of a class of inertial projection-type algorithm for solving variational inequality problems in real Hilbert spaces where the underline operator is…

Optimization and Control · Mathematics 2021-01-25 Yekini Shehu , Olaniyi. S. Iyiola , Xiao-Huan Li , Qiao-Li Dong

In this paper, we introduce a novel data transformation framework based on Opposition-Based Learning (OBL) to boost the performance of traditional classification algorithms. Originally developed to accelerate convergence in optimization…

Machine Learning · Computer Science 2025-04-28 Abdesslem Layeb

Balls are sequentially allocated into $n$ bins as follows: for each ball, an independent, uniformly random bin is generated. An overseer may then choose to either allocate the ball to this bin, or else the ball is allocated to a new…

Probability · Mathematics 2018-07-04 Ohad N. Feldheim , Ori Gurel-Gurevich