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Spectral clustering methods which are frequently used in clustering and community detection applications are sensitive to the specific graph constructions particularly when imbalanced clusters are present. We show that ratio cut (RCut) or…

机器学习 · 统计学 2016-11-18 Cem Aksoylar , Jing Qian , Venkatesh Saligrama

Deep learning is a state of the art method for a lot of applications. The main issue is that most of the real-time data is highly imbalanced in nature. In order to avoid bias in training, cost-sensitive approach can be used. In this paper,…

机器学习 · 计算机科学 2020-10-20 Simran K , Prathiksha Balakrishna , Vinayakumar Ravi , Soman KP

The most popular classification algorithms are designed to maximize classification accuracy during training. However, this strategy may fail in the presence of class imbalance since it is possible to train models with high accuracy by…

机器学习 · 计算机科学 2024-01-26 Erhan Can Ozcan , Berk Görgülü , Mustafa G. Baydogan , Ioannis Ch. Paschalidis

Sparsity-inducing penalties are useful tools to design multiclass support vector machines (SVMs). In this paper, we propose a convex optimization approach for efficiently and exactly solving the multiclass SVM learning problem involving a…

机器学习 · 计算机科学 2015-12-15 G. Chierchia , Nelly Pustelnik , Jean-Christophe Pesquet , B. Pesquet-Popescu

Classification is a well-studied machine learning task which concerns the assignment of instances to a set of outcomes. Classification models support the optimization of managerial decision-making across a variety of operational business…

机器学习 · 计算机科学 2025-05-19 Wouter Verbeke , Diego Olaya , Jeroen Berrevoets , Sam Verboven , Sebastián Maldonado

Anomaly detection is defined as the problem of finding data points that do not follow the patterns of the majority. Among the various proposed methods for solving this problem, classification-based methods, including one-class Support…

最优化与控制 · 数学 2023-12-05 Amir Hossein Noormohammadia , Seyed Ali MirHassania , Farnaz Hooshmand Khaligh

In this work we are interested in the construction of numerical methods for high dimensional constrained nonlinear optimization problems by particle-based gradient-free techniques. A consensus-based optimization (CBO) approach combined with…

最优化与控制 · 数学 2021-11-23 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

The stochastic block model (SBM) is a popular framework for studying community detection in networks. This model is limited by the assumption that all nodes in the same community are statistically equivalent and have equal expected degrees.…

统计理论 · 数学 2016-01-20 Yudong Chen , Xiaodong Li , Jiaming Xu

We introduce a novel algorithm that leverages stochastic sampling techniques to compute the perturbative triples correction in the coupled-cluster (CC) framework. By combining elements of randomness and determinism, our algorithm achieves a…

化学物理 · 物理学 2024-05-29 Yann Damour , Alejandro Gallo , Anthony Scemama

This paper proposes a robust classification model, based on support vector machine (SVM), which simultaneously deals with outliers detection and feature selection. The classifier is built considering the ramp loss margin error and it…

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

最优化与控制 · 数学 2023-05-01 Antonio Alcántara , Carlos Ruiz

There is growing importance to detecting faults and implementing the best methods in industrial and real-world systems. We are searching for the most trustworthy and practical data-based fault detection methods proposed by artificial…

系统与控制 · 电气工程与系统科学 2023-01-11 Mohammad Hossein Modirrousta , Mahdi Aliyari Shoorehdeli , Mostafa Yari , Arash Ghahremani

Interest in bilevel optimization has grown in recent years, partially due to its applications to tackle challenging machine-learning problems. Several exciting recent works have been centered around developing efficient gradient-based…

In model-based clustering and classification, the cluster-weighted model constitutes a convenient approach when the random vector of interest constitutes a response variable Y and a set p of explanatory variables X. However, its…

统计方法学 · 统计学 2013-07-23 Sanjeena Subedi , Antonio Punzo , Salvatore Ingrassia , Paul D. McNicholas

The class-imbalance issue is intrinsic to many real-world machine learning tasks, particularly to the rare-event classification problems. Although the impact and treatment of imbalanced data is widely known, the magnitude of a metric's…

机器学习 · 计算机科学 2022-06-22 Azim Ahmadzadeh , Rafal A. Angryk

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

统计理论 · 数学 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

This paper explores the application of Machine Learning techniques for pricing high-dimensional options within the framework of the Uncertain Volatility Model (UVM). The UVM is a robust framework that accounts for the inherent…

计算金融 · 定量金融 2025-06-06 Ludovic Goudenege , Andrea Molent , Antonino Zanette

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

最优化与控制 · 数学 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

The VC dimension measures the capacity of a learning machine, and a low VC dimension leads to good generalization. While SVMs produce state-of-the-art learning performance, it is well known that the VC dimension of a SVM can be unbounded;…

机器学习 · 计算机科学 2017-05-02 Jayadeva

Constrained machine learning enables fairness-aware training, physics-informed neural networks, and integration of symbolic domain knowledge into statistical models. Despite its practical importance, no general method exists for the…

机器学习 · 计算机科学 2026-05-20 Adam Bosák , Andrii Kliachkin , Jana Lepšová , Gilles Bareilles , Jakub Mareček