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Mathematics

D-Index
38
Citations
4306
World Ranking
2402
National Ranking
55

Overview

David Yang Gao is affiliated with Federation University Australia. Their work primarily spans the field of Mathematics, with a significant focus on several subfields including Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Artificial Intelligence, and Information Systems.

The scientist has contributed to various main topics of research such as:

  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Advanced Topology and Set Theory
  • Software Engineering Research
  • Topic Modeling
  • Natural Language Processing Techniques
  • Geometric and Algebraic Topology

David Yang Gao's recent publications include the following papers:

  • "Testing LLMs on Code Generation with Varying Levels of Prompt Specificity" (2023), published in arXiv (Cornell University)
  • "Soficity for group actions on sets and applications" (2024), published in arXiv (Cornell University)
  • "Periodic Implicit Representation, Design and Optimization of Porous Structures Using Periodic B-splines" (2024), published in arXiv (Cornell University)
  • "All actions of LERF groups on sets are sofic" (2024), published in arXiv (Cornell University)
  • "On conjugacy and perturbation of subalgebras" (2024), published in arXiv (Cornell University)

The scientist's frequent co-authors comprise:

  • Srivatsav Kunnawalkam Elayavalli
  • Gregory Patchell
  • Hui Shan Tan
  • Tattwamasi Amrutam
  • Lincoln Murr

David Yang Gao regularly publishes in the venue arXiv (Cornell University) with 11 contributions. Other publication venues include:

  • Informatica
  • International Mathematics Research Notices
  • Journal of Logic and Analysis
  • Research in the Mathematical Sciences

Best Publications

  • Duality Principles in Nonconvex Systems: Theory, Methods and Applications

    David Yang Gao

  • Duality Principles in Nonconvex Systems

    David Yang Gao

  • Canonical Dual Transformation Method and Generalized Triality Theory in Nonsmooth Global Optimization

    David Yang Gao

  • Perfect duality theory and complete solutions to a class of global optimization problems

    David Yang Gao

  • Solutions and optimality criteria to box constrained nonconvex minimization problems

    David Yang Gao

  • Nonlinear elastic beam theory with application in contact problems and variational approaches

    David Yang Gao

  • Advances in mechanics and mathematics

    David Y. Gao;Ray W. Ogden

  • Canonical Duality Theory and Solutions to Constrained Nonconvex Quadratic Programming

    David Yang Gao

  • Discrete state transition algorithm for unconstrained integer optimization problems

    Xiaojun Zhou;David Yang Gao;Chunhua Yang;Weihua Gui

  • Finite deformation beam models and triality theory in dynamical post-buckling analysis☆

    David Yang Gao

  • Solutions to quadratic minimization problems with box and integer constraints

    David Yang Gao;Ning Ruan

  • Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

    David Yang Gao

  • Canonical duality theory: Unified understanding and generalized solution for global optimization problems

    David Yang Gao

  • Canonical dual approach to solving 0-1 quadratic programming problems

    Shu Cherng Fang;Shu Cherng Fang;David Yang Gao;David Yang Gao;Ruey-Lin Sheu;Soon Yi Wu;Soon Yi Wu

  • Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications

    David Yang Gao

  • Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization

    David Y. Gao;Hanif D. Sherali

  • Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation

    David Gao;Raymond William Ogden

  • General Analytic Solutions and Complementary Variational Principles for Large Deformation Nonsmooth Mechanics

    David Yang Gao

  • Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications

    DY Gao

  • Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality

    David Yang Gao;Ning Ruan;Hanif D. Sherali

  • Canonical Duality Theory and Solutions to Constrained Nonconvex Quadratic Programming Dedicated to Professor Ivar Ekeland on the occasion of his 60th birthday

    David Yang Gao

Frequent Co-Authors

Shu-Cherng Fang
Shu-Cherng Fang North Carolina State University
Hanif D. Sherali
Hanif D. Sherali Virginia Tech
Saeid Nahavandi
Saeid Nahavandi Swinburne University of Technology
John Yearwood
John Yearwood Deakin University
Chee Peng Lim
Chee Peng Lim Swinburne University of Technology
Patrizio Neff
Patrizio Neff University of Duisburg-Essen
Angus R. Simpson
Angus R. Simpson University of Adelaide
Kok Lay Teo
Kok Lay Teo Sunway University
Chuandong Li
Chuandong Li Southwest University
Tingwen Huang
Tingwen Huang Shenzhen Institutes of Advanced Technology

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