Sampling in Combinatorial and Geometric Set Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Sampling in Combinatorial and Geometric Set Systems PDF full book. Access full book title Sampling in Combinatorial and Geometric Set Systems by Nabil H. Mustafa. Download full books in PDF and EPUB format.
Author: Nabil H. Mustafa Publisher: American Mathematical Society ISBN: 1470461560 Category : Mathematics Languages : en Pages : 251
Book Description
Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.
Author: Nabil H. Mustafa Publisher: American Mathematical Society ISBN: 1470461560 Category : Mathematics Languages : en Pages : 251
Book Description
Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.
Author: Michael Drmota Publisher: Springer Science & Business Media ISBN: 3211753575 Category : Mathematics Languages : en Pages : 466
Book Description
The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.
Author: Philippe Flajolet Publisher: Cambridge University Press ISBN: 1139477161 Category : Mathematics Languages : en Pages : 825
Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Book Description
Ce cahier est un bon choix pour ceux qui veulent apprendre facilement à écrire les lettres de l'alphabet Arabe. En fonction de leur emplacement dans le mot, certaines lettres ont quatre formes: forme isolée, initiale, médiane et finale, ce livre aidera les apprenants à les écrire correctement. les flèches fourniront une excellente explication sur la façon dont elles doivent être écrites. Recommandé pour: Enfants d'âge préscolaire Enfants 4+ Débutants Des détails: Couverture: finition MAT Taille: 8,5 "x 11" Pages: 98 pages Une section bonus de coloriage (03 pages) à la fin du livre.
Author: Nabil H. Mustafa
Author: Nabil H. Mustafa
Author: Michael Drmota
Author: Philippe Flajolet
Author: Sabir SIFOUR