[HTML][HTML] МДМ-метод для решения общей квадратичной задачи математической диагностики
ВН Малоземов, НА Соловьева - Вестник Санкт-Петербургского …, 2023 - cyberleninka.ru
Термин математическая диагностика был введен ВФ Демьяновым в начале 2000-х
годов. Простейшая задача математической диагностики заключается в выяснении …
годов. Простейшая задача математической диагностики заключается в выяснении …
[PDF][PDF] МДМ-методу 50 лет
ВН Малозёмов - … по экстремальным задачам. Часть 1. Под …, 2017 - oml.cmlaboratory.com
Задача (1) имеет решение и оно единственно. Обозначим его v∗. Вопрос о
нахождении v∗ возник как вспомогательная задача в оптимальном управлении [1] и …
нахождении v∗ возник как вспомогательная задача в оптимальном управлении [1] и …
A theorem on strict separability of convex polyhedra and its applications in optimization
ZR Gabidullina - Journal of optimization theory and applications, 2011 - Springer
We propose a new approach to the strict separation of convex polyhedra. This approach is
based on the construction of the set of normal vectors for the hyperplanes, such that each …
based on the construction of the set of normal vectors for the hyperplanes, such that each …
An efficient acceleration technique for methods for finding the nearest point in a polytope and computing the distance between two polytopes
MV Dolgopolik - arXiv preprint arXiv:2205.04553, 2022 - arxiv.org
We present a simple and efficient acceleration technique for an arbitrary method for
computing the Euclidean projection of a point onto a convex polytope, defined as the convex …
computing the Euclidean projection of a point onto a convex polytope, defined as the convex …
Geometric approach to support vector machines learning for large datasets
R Strack - 2013 - scholarscompass.vcu.edu
Abstract The dissertation introduces Sphere Support Vector Machines (SphereSVM) and
Minimal Norm Support Vector Machines (MNSVM) as the new fast classification algorithms …
Minimal Norm Support Vector Machines (MNSVM) as the new fast classification algorithms …
Hypodifferentials of nonsmooth convex functions and their applications to nonsmooth convex optimization
MV Dolgopolik - arXiv preprint arXiv:2303.13464, 2023 - arxiv.org
A hypodifferential is a compact family of affine mappings that defines a local max-type
approximation of a nonsmooth convex function. We present a general theory of …
approximation of a nonsmooth convex function. We present a general theory of …
Cycle-breaking acceleration of SVM training
Fast SVM training is an important goal for which many proposals have been given in the
literature. In this work we will study from a geometrical point of view the presence, in both the …
literature. In this work we will study from a geometrical point of view the presence, in both the …
On the MDM Method for Solving the General Quadratic Problem of Mathematical Diagnostics
VN Malozemov, NA Solovyeva - Vestnik St. Petersburg University …, 2023 - Springer
The term “mathematical diagnostics” was introduced by VF Demyanov in the early 2000s.
The simplest problem of mathematical diagnostics is to determine the relative position of …
The simplest problem of mathematical diagnostics is to determine the relative position of …
Minimal norm support vector machines for large classification tasks
This paper introduces Minimal Norm Support Vector Machines (MNSVM) as the new fast
classification algorithm originating from minimal enclosing ball approach and based on …
classification algorithm originating from minimal enclosing ball approach and based on …
Analysis and convergence of SMO-like decomposition and geometrical algorithms for support vector machines
JL Lázaro - 2011 - dialnet.unirioja.es
Resumen Support Vector Machines (SVMs) constitute one of the most successful paradigms
in Machine Learning nowadays. Their success stems from the fact that they are relatively …
in Machine Learning nowadays. Their success stems from the fact that they are relatively …