Eigenvalue Analysis of Hessian Matrices in Quadratic Loss Functions for Machine Learning Optimization

Quadratic functions are fundamental to understand optimization landscapes in machine learning. In this study, we focus on the optimization of a class of quadratic loss functions, examining their behavior through the construction of Hessian matrices and the analysis of their eigenvalues.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/03.2025/ramakrishna
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Eigenvalue Analysis of Hessian Matrices in Quadratic Loss Functions for Machine Learning Optimization

T. V. N. Prasanna, A. V. Ramakrishna, Nathan Sairam
International journal of mathematics and computer science
Neural Networks and Applications
article

Eigenvalue Analysis of Hessian Matrices in Quadratic Loss Functions for Machine Learning Optimization

T. V. N. Prasanna, A. V. Ramakrishna, Nathan Sairam
article en

Abstract

Quadratic functions are fundamental to understand optimization landscapes in machine learning. In this study, we focus on the optimization of a class of quadratic loss functions, examining their behavior through the construction of Hessian matrices and the analysis of their eigenvalues.

International journal of mathematics and computer science
Openalex Percentile: Top 95%
Neural Networks and Applications
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Eigenvalue Analysis of Hessian Matrices in Quadratic Loss Functions for Machine Learning Optimization — T. V. N. Prasanna, A. V. Ramakrishna, et al. · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS