About
Contact & Profiles
A5004400375
Research Areas
- Statistical and numerical algorithms
- Neural Networks and Applications
- Numerical Methods and Algorithms
- Machine Learning and Algorithms
- Aerospace Engineering and Control Systems
- Matrix Theory and Algorithms
- Spectral Theory in Mathematical Physics
- Machine Learning and Data Classification
- Quantum Mechanics and Non-Hermitian Physics
- Mathematical Analysis and Transform Methods
Novosibirsk State University
2024-2025
Liaoning University
2025
10.1103/physreva.111.012221
article
EN
Physical review. A/Physical review, A
2025-01-29
Abstract In this paper, we revisit Linear Neural Networks (LNNs) with single-output neurons performing linear operations. The study focuses on constructing an optimal regularized weight matrix Q from training pairs <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo stretchy="false">{</m:mo> <m:mi>G</m:mi> <m:mo>,</m:mo> <m:mi>H</m:mi> stretchy="false">}</m:mo> </m:mrow> </m:math> {\{G,H\}} , reformulating the LNNs framework as equations, and addressing it a inverse problem....
10.1515/jiip-2025-0010
article
EN
Journal of Inverse and Ill-Posed Problems
2025-03-28
10.1145/3709026.3709071
article
EN
2024-12-06
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