Lie Group Techniques for Neural Learning

Abstract

OUTLINE: 1. Neural Networks: a short introduction; 2. Independent Component Analysis: (a) Stochastic signal processing; (b) Constraint optimization in ICA; 3. Geometric Integration of Learning Equations: (a) Gradient flows and algorithms on manifolds; (b) MEC learning; (c) Newton methods; (d) Diffusion algorithms.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 2005
Accession Number
ADA433732

Entities

People

  • Elena Celledoni

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Cognitive Science
  • Content Addressable Memory
  • Differential Equations
  • Equations
  • Floating Point Operations
  • Geometry
  • Information Processing
  • Information Systems
  • Learning
  • Lie Groups
  • Mathematics
  • Neural Networks
  • Random Variables
  • Signal Processing
  • Time Signals

Readers

  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • STEM Education

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms
  • AI & ML - Neural Networks