الصفحة 1
الصفحة 1
Modular Algorithms in Symbolic Summation and Symbolic Integration
Brings together two streams in computer algebra: symbolic integration and summation on the one hand, and fast algorithmics on the other hand. In many algorithmically oriented areas of computer science, the analysis of al gorithms placed into the lime light by DonKnuth’stalkat the 1970ICM –provides a crystal-clear criterion for success. The researcher who designs an algorithm that is faster (asymptotically, in the worst case) than any previous method receives instant gratification : her result will be recognized as valuable. Al as, the downside is that such results come along quite infrequently, despite our best efforts. An alternative evaluation method is to run a new algorithm on examples; this has its obvious problems, but is sometimes the best we can do. George Collins, one of the fathers of computer algebra and a great experimenter,wrote in 1969: “I think this demonstrates again that a simple analysis is often more revealing than a ream of empirical data (although both are important). ” Within computer algebra, some areas have traditionally followed the former methodology, notably some parts of polynomial algebra and linear algebra. Other areas, such as polynomial system solving, have not yet been amenable to this - proach. The usual “input size” parameters of computer science seem inadequate, and although some natural “geometric” parameters have been identified (solution dimension, regularity), not all (potential) major progress can be expressed in this framework. Symbolic integration and summation have been in a similar state.
Experimental Algorithms ; 6th International Workshop, WEA 2007, Rome, Italy, June 6-8, 2007, Proceedings
Fostering and disseminating high quality research results focused on the experimental analysis of algorithms the papers are devoted to the design, analysis, implementation, experimental evaluation, and engineering of efficient algorithms. Among the application areas addressed are most fields applying advanced algorithmic techniques, such as combinatorial optimization, approximation, graph theory, discrete mathematics, data mining, simulation, cryptography and security, scheduling, searching, sorting, string matching, coding, networking, etc.
Beyond the Worst-Case Analysis of Algorithms
There are no silver bullets in algorithm design, and no single algorithmic idea is powerful and flexible enough to solve every computational problem. Nor are there silver bullets in algorithm analysis, as the most enlightening method for analyzing an algorithm often depends on the problem and the application. However, typical algorithms courses rely almost entirely on a single analysis framework, that of worst-case analysis, wherein an algorithm is assessed by its worst performance on any input of a given size. The purpose of this book is to popularize several alternatives to worst-case analysis and their most notable algorithmic applications, from clustering to linear programming to neural network training. Forty leading researchers have contributed introductions to different facets of this field, emphasizing the most important models and results, many of which can be taught in lectures to beginning graduate students in theoretical computer science and machine learning.
Approximation and Online Algorithms ; Vol.3879 : 3rd International Workshop, WAOA 2005, Palma de Mallorca, Spain, October 6-7, 2005, Revised Selected Papers
The third Workshop on Approximation and Online Algorithms (WAOA 2005) focused on the design and analysis of algorithms for online and computationally hard problems. Both kinds of problems have a large number of applications from a variety of ?elds. WAOA 2005 took place in Palma de Mallorca, Spain, on 6–7 October 2005. The workshop was part of the ALGO 2005 event that also hosted ESA, WABI, and ATMOS. The two previous WAOA workshops were held in Budapest (2003) and Rome (2004).
Approximation and online algorithms ; Vol.3351 ; 2nd international workshop, WAOA 2004, Bergen, Norway, September 14-16, 2004, Revised Selected Papers
The 2nd Workshop on Approximation and Online Algorithms (WAOA 2004) focused on the design and analysis of algorithms for online and computationally hard problems. Both kinds of problems have a large number of applications arising from a variety of fields. The workshop was part of the ALGO 2004 event which also hosted ESA, WABI, IWPEC, and ATMOS. Topics of interests for WAOA2004 were : applications to game theory, appr- imation classes, coloring and partitioning, competitive analysis, computational finance, cuts and connectivity, geometric problems, in approximability results, mechanism design, network design, routing, packing and covering, paradigms, randomization techniques, and scheduling problems. on the reviews, This volume contains the 21 selected papers
Approximation and Online Algorithms ; 5th International Workshop, WAOA 2007, Eilat, Israel, October 11-12, 2007. Revised Papers
The Fifth Workshop on Approximation and Online Algorithms (WAOA 2007) focused on the design and analysis of algorithms for online and computationally hard problems.
Approximation and Online Algorithms ; 4th International Workshop, WAOA 2006, Zurich, Switzerland, September 14-15, 2006, Revised Papers
It focuses on the design and analysis of algorithms for online and computationally hard problems. Both kinds of problems have a large number of applications
Algorithms and Complexity ; 6th Italian Conference, CIAC 2006, Rome, Italy, May 29-31, 2006, Proceedings
Here are the refereed proceedings of the 6th Italian Conference on Algorithms and Computation, CIAC 2006. The 33 revised full papers presented together with 3 invited papers address such topics as sequential, parallel and distributed algorithms, data structures, approximation algorithms, randomized algorithms, on-line algorithms, graph algorithms, analysis of algorithms, algorithm engineering, algorithmic game theory, computational biology, computational complexity, communication networks, computational geometry, cryptography, discrete optimization, graph drawing, mathematical programming, and quantum algorithms.
Algorithmic Aspects of Wireless Sensor Networks ; 3rd International Workshop, ALGOSENSORS 2007, Wroclaw, Poland, July 14, 2007, Revised Selected Papers
This book contains the proceedings of the Third International Workshop on Algorithmic Aspects of Wireless Sensor Networks. Coverage includes abstract models, complexity-theoretic results, and the design and analysis of algorithms for wireless sensor networks.
A Guide to Graph Algorithms
Offers high-quality content in the research area of graph algorithms and explores the latest developments in graph algorithmics. The reader will gain a comprehensive understanding of how to use algorithms to explore graphs. It is a collection of texts that have proved to be trend setters and good examples of that. The book aims at providing the reader with a deep understanding of the structural properties of graphs that are useful for the design of efficient algorithms. These algorithms have applications in finite state machine modelling, social network theory, biology, and mathematics. The book contains many exercises, some up at present-day research-level. The exercises encourage the reader to discover new techniques by putting things in a clear perspective.
