[КНИГА][B] Optimization for machine learning

S Sra, S Nowozin, SJ Wright - 2011 - books.google.com
An up-to-date account of the interplay between optimization and machine learning,
accessible to students and researchers in both communities. The interplay between …

[ЦИТИРОВАНИЕ][C] Robust Optimization

A Ben-Tal - Princeton University Press google schola, 2009 - books.google.com
Robust optimization is still a relatively new approach to optimization problems affected by
uncertainty, but it has already proved so useful in real applications that it is difficult to tackle …

[PDF][PDF] Robustness and Regularization of Support Vector Machines.

H Xu, C Caramanis, S Mannor - Journal of machine learning research, 2009 - jmlr.org
We consider regularized support vector machines (SVMs) and show that they are precisely
equivalent to a new robust optimization formulation. We show that this equivalence of robust …

Selected topics in robust convex optimization

A Ben-Tal, A Nemirovski - Mathematical Programming, 2008 - Springer
Robust Optimization is a rapidly develo** methodology for handling optimization
problems affected by non-stochastic “uncertain-but-bounded” data perturbations. In this …

[PDF][PDF] Second order cone programming approaches for handling missing and uncertain data

PK Shivaswamy, C Bhattacharyya, AJ Smola - Journal of Machine …, 2006 - jmlr.org
We propose a novel second order cone programming formulation for designing robust
classifiers which can handle uncertainty in observations. Similar formulations are also …

Distributionally robust chance-constrained kernel-based support vector machine

F Lin, SC Fang, X Fang, Z Gao - Computers & Operations Research, 2024 - Elsevier
Support vector machine (SVM) is a powerful model for supervised learning. This article
addresses the nonlinear binary classification problem using kernel-based SVM with …

Oracle-based robust optimization via online learning

A Ben-Tal, E Hazan, T Koren… - Operations …, 2015 - pubsonline.informs.org
Robust optimization is a common optimization framework under uncertainty when problem
parameters are unknown, but it is known that they belong to some given uncertainty set. In …

A survey of robust optimization based machine learning with special reference to support vector machines

M Singla, D Ghosh, KK Shukla - International Journal of Machine Learning …, 2020 - Springer
This paper gives an overview of developments in the field of robust optimization in machine
learning (ML) in general and Support Vector Machine (SVM)/Support Vector Regression …

[HTML][HTML] Robust and distributionally robust optimization models for linear support vector machine

D Faccini, F Maggioni, FA Potra - Computers & Operations Research, 2022 - Elsevier
In this paper we present novel data-driven optimization models for Support Vector Machines
(SVM), with the aim of linearly separating two sets of points that have non-disjoint convex …

Feature selection and molecular classification of cancer using genetic programming

J Yu, J Yu, AA Almal, SM Dhanasekaran, D Ghosh… - Neoplasia, 2007 - Elsevier
Despite important advances in microarray-based molecular classification of tumors, its
application in clinical settings remains formidable. This is in part due to the limitation of …