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 76 Citations 23,058 208 World Ranking 123 National Ranking 70
Computer Science D-index 76 Citations 22,990 217 World Ranking 802 National Ranking 480

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

2004 - Fellow of the American Academy of Arts and Sciences

2003 - Member of the European Academy of Sciences

1996 - ACM Fellow Bernard Chazelle has made fundamental contributions in the design and analysis of algorithms in computational geometry.

1994 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Algorithm
  • Geometry
  • Artificial intelligence

Bernard Chazelle spends much of his time researching Combinatorics, Algorithm, Computational geometry, Discrete mathematics and Time complexity. His research integrates issues of Intersection, Convex combination and Simple polygon, Regular polygon in his study of Combinatorics. His Algorithm research is multidisciplinary, incorporating elements of Output-sensitive algorithm, Theoretical computer science and Discrepancy theory.

Bernard Chazelle combines subjects such as Simple, Type, Rectangle, Distribution and Calculus with his study of Computational geometry. His work investigates the relationship between Discrete mathematics and topics such as Linear programming that intersect with problems in Integer programming, Position and Heuristic. His Time complexity research incorporates elements of Randomized algorithm and Probabilistic analysis of algorithms.

His most cited work include:

  • Shape distributions (1442 citations)
  • Triangulating a simple polygon in linear time (566 citations)
  • Matching 3D models with shape distributions (542 citations)

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

His primary scientific interests are in Combinatorics, Discrete mathematics, Algorithm, Computational geometry and Upper and lower bounds. He has included themes like Range searching, Convex hull and Convex polytope in his Combinatorics study. His study focuses on the intersection of Discrete mathematics and fields such as Monotonic function with connections in the field of Property testing.

His Algorithm research is multidisciplinary, incorporating elements of Voronoi diagram, Theoretical computer science, Output-sensitive algorithm and Distribution. His Computational geometry research includes themes of Line segment and Discrepancy theory. The various areas that Bernard Chazelle examines in his Time complexity study include Plane and Deterministic algorithm.

He most often published in these fields:

  • Combinatorics (45.29%)
  • Discrete mathematics (27.90%)
  • Algorithm (25.72%)

What were the highlights of his more recent work (between 2011-2020)?

  • Statistical physics (5.07%)
  • Theoretical computer science (11.59%)
  • Conjecture (3.62%)

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

His scientific interests lie mostly in Statistical physics, Theoretical computer science, Conjecture, Almost surely and Gene. His research investigates the connection with Theoretical computer science and areas like Successor cardinal which intersect with concerns in Efficient algorithm and Event graph. The Almost surely study combines topics in areas such as Probabilistic logic, Graph, Mixing and Social network.

Bernard Chazelle works mostly in the field of Function, limiting it down to concerns involving Logarithm and, occasionally, Algorithm. The study incorporates disciplines such as Voronoi diagram, Convex geometry and Regular polygon in addition to Algorithm. His Discrete mathematics research integrates issues from Carry and Point.

Between 2011 and 2020, his most popular works were:

  • Parallel Computational Geometry (62 citations)
  • On the convergence of the Hegselmann-Krause system (60 citations)
  • Inertial Hegselmann-Krause Systems (35 citations)

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

  • Algorithm
  • Geometry
  • Artificial intelligence

The scientist’s investigation covers issues in Conjecture, Applied mathematics, Inertial frame of reference, Statistical physics and Equivalence. His Conjecture research is multidisciplinary, incorporating perspectives in Real line and Finite set. His Applied mathematics research incorporates themes from Asymptotic computational complexity, Mathematical optimization, Flocking and Well posedness.

Statistical physics combines with fields such as Dynamic network analysis, Almost surely, Multi-agent system, Type and Bifurcation analysis in his work. His Dynamic network analysis research is multidisciplinary, relying on both Dynamical systems theory, Control theory and Turing machine. His studies link Artificial intelligence with Equivalence.

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

Shape distributions

Robert Osada;Thomas Funkhouser;Bernard Chazelle;David Dobkin.
ACM Transactions on Graphics (2002)

2273 Citations

Triangulating a simple polygon in linear time

Bernard Chazelle.
Discrete and Computational Geometry (1991)

1086 Citations

Matching 3D models with shape distributions

R. Osada;T. Funkhouser;B. Chazelle;D. Dobkin;D. Dobkin.
international conference on shape modeling and applications (2001)

880 Citations

An optimal algorithm for intersecting line segments in the plane

Bernard Chazelle;Herbert Edelsbrunner.
Journal of the ACM (1992)

707 Citations

The Discrepancy Method: Randomness and Complexity

Bernard Chazelle.
(2000)

642 Citations

Fractional cascading: I. A data structuring technique

Bernard Chazelle;Leonidas J. Guibas.
Algorithmica (1986)

625 Citations

Whole-proteome prediction of protein function via graph-theoretic analysis of interaction maps

Elena Nabieva;Kam Jim;Amit Agarwal;Bernard Chazelle.
Bioinformatics (2005)

572 Citations

Filtering search: a new approach to query answering

Bernard Chazelle.
SIAM Journal on Computing (1986)

551 Citations

Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform

Nir Ailon;Bernard Chazelle.
symposium on the theory of computing (2006)

533 Citations

An optimal convex hull algorithm in any fixed dimension

Bernard Chazelle.
Discrete and Computational Geometry (1993)

501 Citations

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