Mathematical Aspects of Computer and Information Sciences (PDF)

Mathematical Aspects of Computer

Author:
Ilias S. Kotsireas, Siegfried M. Rump & Chee K. Yap
Release at: 2016
Pages: 631
Edition:
First Edition
File Size: 25 MB
File Type: pdf
Language: English




Description of Mathematical Aspects of Computer and Information Sciences (PDF)

Mathematical Aspects of Computer and Information Sciences written by Ilias S. Kotsireas, Siegfried M. Rump & Chee K. Yap is a great book available in (eBook) PDF download. This Mathematical Aspects of Computer book is a series of biennial conferences focusing on research in mathematical and computational aspects of computing and information science. It's broadly concerned with algorithms, their embedding, and their complexity in larger logical systems. At the algorithmic level, there is a rich interplay along the numerical, algebraic, geometric, topological axes.

Mathematical Aspects of Computer and Information Sciences (MACIS) is a series of biennial conferences focusing on research in mathematical and computational aspects of computing and information science. It is broadly concerned with algorithms, their complexity, and their embedding in larger logical systems. At the algorithmic level, there is a rich interplay along the numerical/algebraic/geometric/topological axes. At the logical level, there are issues of data organization, interpretation, and associated tools. These issues often arise in scientific and engineering computation where we need experimental and case studies to validate or enrich the theory. MACIS is interested in outstanding and emerging problems in all these areas.

Previous MACIS conferences have been held in Beijing (2006, 2011), Paris (2007), Fukuoka (2009), and Nanning (2013). MACIS 2015 was held at the Zuse Institute Berlin (ZIB) located in the capital of Germany, in the vicinity of the Freie Universität Berlin. Named after Konrad Zuse, the inventor of the first programmable computer, ZIB is an interdisciplinary research institute for applied mathematics and data-intensive high-performance computing. Its research areas in modeling, simulation, and optimization in partnership with academia and industry are exemplary of the goals of MACIS.




Content of Mathematical Aspects of Computer and Information Sciences (PDF)


Invited Papers

Chapter 1: Current Challenges in Developing Open Source Computer Algebra Systems

Chapter 2: Exploiting Structure in Floating-Point Arithmetic

Chapter 3: Symbolic Geometric Reasoning with Advanced Invariant Algebras

Chapter 4: Congruence Testing of Point Sets in Three and Four Dimensions: Results and Techniques

Curves and Surfaces

Chapter 5: Mesh Reduction to Exterior Surface Parts via Random Convex-Edge Affine Features

Chapter 6: Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve

Chapter 7: Linear k-Monotonicity Preserving Algorithms and Their Approximation Properties

Applied Algebraic Geometry

Chapter 8: Workspace Multiplicity and Fault Tolerance of Cooperating Robots

Chapter 9: Numerical Local Irreducible Decomposition

Chapter 10: Computing the Chow Variety of Quadratic Space Curves

Chapter 11: Numerically Testing Generically Reduced Projective Schemes for the Arithmetic Gorenstein Property

Chapter 12: Some Results Concerning the Explicit Isomorphism Problem over Number Fields

Cryptography

Chapter 13: Implementing Cryptographic Pairings on Accumulator Based Smart Card Architectures

Chapter 14: Short Group Signatures with Distributed Traceability

Chapter 15: On the Optimality of Differential Fault Analyses on CLEFIA

Verified Numerical Computation

Chapter 16: H3 and H4 Regularities of the Poisson Equation on Polygonal Domains

Chapter 17: Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods

Chapter 18: Verified Computations for Solutions to Semilinear Parabolic Equations Using the Evolution Operator

Chapter 19: Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval

Polynomial System Solving

Chapter 20: Improving a CGS-QE Algorithm

Chapter 21: Efficient Subformula Orders for Real Quantifier Elimination of Non-prenex Formulas

Chapter 22: Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases

Chapter 23: Advanced Algebraic Attack on Trivium

Managing Massive Data

Chapter 24: Compressing Big Data: When the Rate of Convergence to the Entropy Matters

Chapter 25: Trends in Temporal Reasoning: Constraints, Graphs and Posets

Chapter 26: Reconstructing a Sparse Solution from a Compressed Support Vector Machine

Chapter 27: Using Statistical Search to Discover Semantic Relations of Political Lexica Evidences from Bulgarian-Slovak EUROPARL 7 Corpus

Computational Theory of Differential and Difference Equations

Chapter 28: Simple Differential Field Extensions and Effective Bounds

Chapter 29: A New Bound for the Existence of Differential Field Extensions

Chapter 30: Dimension Polynomials of Intermediate Fields of Inversive Difference Field Extensions

Chapter 31: A “Polynomial Shifting” Trick in Differential Algebra

Data and Knowledge Exploration

Chapter 32: Searching for Geometric Theorems Using Features Retrieved from Diagrams

Chapter 33: New Method for Instance Feature Selection Using Redundant Features for Biological Data

Chapter 34: Faceted Search for Mathematics

Chapter 35: Evaluation of a Predictive Algorithm for Converting Linear Strings to Mathematical Formulae for an Input Method

Algorithm Engineering in Geometric Computing

Chapter 36: Linear Programs and Convex Hulls Over Fields of Puiseux Fractions

Chapter 37: Another Classroom Example of Robustness Problems in Planar Convex Hull Computation

Chapter 38: Precision-Driven Computation in the Evaluation of Expression-Dags with Common Subexpressions: Problems and Solutions

Real Complexity: Theory and Practice

Chapter 39: Rigorous Numerical Computation of Polynomial Differential Equations Over Unbounded Domains

Chapter 40: Using Taylor Models in Exact Real Arithmetic

Chapter 41: On the Computational Complexity of Positive Linear Functionals on C1⁄20; 1

Chapter 42: Average-Case Bit-Complexity Theory of Real Functions

Chapter 43: Certifying Trajectories of Dynamical Systems

Global Optimization

Chapter 44: A New Matrix Splitting Based Relaxation for the Quadratic Assignment Problem

Chapter 45: Global Optimization of H1 Problems: Application to Robust Control Synthesis Under Structural Constraints

Chapter 46: Global Optimization Based on Contractor Programming: An Overview of the IBEX Library

Chapter 47: The Bernstein Branch-and-Prune Algorithm for Constrained Global Optimization of Multivariate Polynomial MINLPs

General Session

Chapter 48: Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental

Chapter 49: On the Quality of Some Root-Bounds

Chapter 50: Relative Hilbert-Post Completeness for Exceptions

Chapter 51: Optimal Coverage in Automotive Configuration

Index

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