Multilinear Computing and Multilinear Algebraic Geometry

Abstract

Recent years have seen exciting new developments in mathematics and computer science, which have opened up new domains of application for computational mathematics. These come with new challenges, for which new approaches and tools must be and are being developed. Machine learning and compressive sensing are two typical examples; they draw not only from traditional linear algebra based numerical analysis or approximation theory, but also from information theory, graph theory, the geometry of Banach spaces, probability theory, and more. This proposal seeks to fund the research of three faculty drawn to these new computational challenges, who are also finding increasingly that their different fields of expertise all contribute to the development of dramatically more effective tools. This confluence of interests, and the conviction that joining their efforts will produce a whole that exceeds the sum of its parts, constitute the engine that drives the approaches proposed here.

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Document Details

Document Type
Technical Report
Publication Date
Aug 10, 2016
Accession Number
AD1013502

Entities

People

  • Lek-heng Lim

Organizations

  • Princeton University

Tags

Communities of Interest

  • Autonomy
  • Human Systems

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algebra
  • Algebraic Geometry
  • Algorithms
  • Applied Mathematics
  • Compressed Sensing
  • Computer Science
  • Data Analysis
  • Geometry
  • Information Theory
  • Linear Algebra
  • Machine Learning
  • Mathematics
  • Signal Processing
  • Stochastic Processes
  • Supervised Machine Learning
  • Topology

Readers

  • Graph Algorithms and Convex Optimization.
  • Strategic Security Studies
  • Technical Research and Report Writing.

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms
  • Space