D-Index & Metrics Best Publications
Mathematics
USA
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 92 Citations 99,306 288 World Ranking 46 National Ranking 32
Computer Science D-index 98 Citations 124,120 305 World Ranking 227 National Ranking 141

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

2018 - INFORMS John von Neumann Theory Prize

2015 - Dantzig Prize, by the Society for Industrial and Applied Mathematics (SIAM) and the Mathematical Optimization Society (MOS)

2014 - Richard E. Bellman Control Heritage Award

2014 - Khachiyan Prize of the INFORMS Optimization Society

2001 - Member of the National Academy of Engineering For pioneering contributions to fundamental research, practice, and education of optimization/control theory, and especially its application to data communication networks.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical optimization
  • Computer network
  • Mathematical analysis

Dimitri P. Bertsekas focuses on Mathematical optimization, Dynamic programming, Rate of convergence, Convex optimization and Algorithm. Much of his study explores Mathematical optimization relationship to Shortest path problem. His Dynamic programming research is multidisciplinary, relying on both Stochastic programming, Computation, Optimal control and Reactive programming.

His research integrates issues of Orthant, Combinatorics, Penalty method and Hessian matrix in his study of Rate of convergence. His research in Convex optimization tackles topics such as Subgradient method which are related to areas like Convergence, Convex function and Differentiable function. Dimitri P. Bertsekas combines subjects such as Assignment problem, Computer network programming, Numerical analysis and Dual with his study of Algorithm.

His most cited work include:

  • Nonlinear Programming (11151 citations)
  • Dynamic Programming and Optimal Control (8194 citations)
  • Data networks (5967 citations)

What are the main themes of his work throughout his whole career to date?

Dimitri P. Bertsekas spends much of his time researching Mathematical optimization, Dynamic programming, Algorithm, Convergence and Shortest path problem. By researching both Mathematical optimization and Markov decision process, he produces research that crosses academic boundaries. Dimitri P. Bertsekas has included themes like Stochastic programming, Stochastic control, Computation, Decision problem and Reinforcement learning in his Dynamic programming study.

The various areas that Dimitri P. Bertsekas examines in his Computation study include Distributed algorithm and Theoretical computer science. In his research on the topic of Algorithm, Distributed computing is strongly related with Asynchronous communication. His Convergence research includes elements of Telecommunications network and Iterative method.

He most often published in these fields:

  • Mathematical optimization (57.65%)
  • Dynamic programming (25.88%)
  • Algorithm (20.00%)

What were the highlights of his more recent work (between 2010-2021)?

  • Mathematical optimization (57.65%)
  • Dynamic programming (25.88%)
  • Function (7.06%)

In recent papers he was focusing on the following fields of study:

Dimitri P. Bertsekas mainly focuses on Mathematical optimization, Dynamic programming, Function, Reinforcement learning and Shortest path problem. Dimitri P. Bertsekas does research in Mathematical optimization, focusing on Subgradient method specifically. In his works, Dimitri P. Bertsekas performs multidisciplinary study on Dynamic programming and Markov decision process.

His Function research integrates issues from State and Heuristic. His study in Reinforcement learning is interdisciplinary in nature, drawing from both Theoretical computer science, Artificial neural network, Aggregate and Algorithm, Computation. Dimitri P. Bertsekas has researched Shortest path problem in several fields, including Discrete mathematics, Bounded function and Minimax.

Between 2010 and 2021, his most popular works were:

  • Constrained Optimization and Lagrange Multiplier Methods (2914 citations)
  • Convex Optimization Algorithms (409 citations)
  • Incremental Gradient, Subgradient, and Proximal Methods for Convex Optimization: A Survey. (317 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical optimization
  • Computer network
  • Mathematical analysis

His scientific interests lie mostly in Mathematical optimization, Dynamic programming, Rate of convergence, Convex optimization and Subgradient method. His Mathematical optimization study integrates concerns from other disciplines, such as Convergence, Stochastic approximation and Algorithm. The study incorporates disciplines such as Reactive programming and Reinforcement learning in addition to Dynamic programming.

The Reactive programming study combines topics in areas such as Functional logic programming and Programming domain. His studies in Rate of convergence integrate themes in fields like Variational inequality, Temporal difference learning and Iterative method. His research in Convex optimization intersects with topics in Linear matrix inequality and Projection.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Nonlinear Programming

Dimitri Bertsekas.
(1995)

17641 Citations

Dynamic Programming and Optimal Control

Dimitri P. Bertsekas.
(1995)

13068 Citations

Data networks

Dimitri Bertsekas;Robert Gallager.
(1987)

9934 Citations

Parallel and Distributed Computation: Numerical Methods

Dimitri P. Bertsekas;John N. Tsitsiklis.
(1989)

8727 Citations

Parallel and distributed computation

Dimitri P. Bertsekas;John N. Tsitsiklis;Alexander N. Sennikov.
(1989)

8628 Citations

Neuro-dynamic programming

Dimitri P. Bertsekas;John N. Tsitsiklis.
(1996)

7280 Citations

Neuro-dynamic programming: an overview

D.P. Bertsekas;J.N. Tsitsiklis.
conference on decision and control (1995)

5778 Citations

Constrained Optimization and Lagrange Multiplier Methods

Dimitri P. Bertsekas.
(2014)

5649 Citations

Dynamic Programming and Stochastic Control

D. P. Bertsekas;Chelsea C. White.
systems man and cybernetics (1977)

4316 Citations

On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

Jonathan Eckstein;Dimitri P. Bertsekas.
Mathematical Programming (1992)

2908 Citations

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