Technical Reports from 2011
In the Beginning Was the Word, and the Word was Fuzzy, Vladik Kreinovich
Linear Neural Networks Revisited: From PageRank to Family Happiness, Vladik Kreinovich
Propagating Range (Uncertainty) and Continuity Information Through Computations: From Real-Valued Intervals to General Sets, Vladik Kreinovich
Towards Faster Estimation of Statistics and ODEs Under Interval, P-Box, and Fuzzy Uncertainty: From Interval Computations to Rough Set-Related Computations, Vladik Kreinovich
High-Concentration Chemical Computing Techniques for Solving Hard-To-Solve Problems, and Their Relation to Numerical Optimization, Neural Computing, Reasoning Under Uncertainty, and Freedom Of Choice, Vladik Kreinovich and Olac Fuentes
Estimating Probability of Failure of a Complex System Based on Inexact Information about Subsystems and Components, with Potential Applications to Aircraft Maintenance, Vladik Kreinovich, Christelle Jacob, Didier Dubois, Janette Cardoso, Martine Ceberio, and Ildar Batyrshin
I-Complexity and Discrete Derivative of Logarithms: A Symmetry-Based Explanation, Vladik Kreinovich and Jaime Nava
Prediction in Econometrics: Towards Mathematical Justification of Simple (and Successful) Heuristics, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta
Computation in Quantum Space-time Could Lead to a Super-polynomial Speedup, Vladik Kreinovich and Michael Zakharevich
When Is Busemann Product a Lattice? A Relation Between Metric Spaces and Corresponding Space-Time Models, Hans-Peter Künzi, Francisco Zapata, and Vladik Kreinovich
Towards Optimal Knowledge Processing: From Centralization Through Cyberinsfrastructure To Cloud Computing, Octavio Lerma, Eric Gutierrez, Chris Kiekintveld, and Vladik Kreinovich
Linear-Time Resource Allocation in Security Games with Identical Fully Protective Resources, Octavio Lerma, Vladik Kreinovich, and Chris Kiekintveld
Is It Possible to Have a Feasible Enclosure-Computing Method Which Is Independent of the Equivalent Form?, Marcin Michalak and Vladik Kreinovich
A New Justification for Weighted Average Aggregation in Fuzzy Techniques, Jaime Nava
Tropical (Idempotent) Algebras as a Way to Optimize Fuzzy Control, Jaime Nava
Why Bernstein Polynomials Are Better: Fuzzy-Inspired Justification, Jaime Nava, Olga Kosheleva, and Vladik Kreinovich
A Simple Physics-Motivated Equivalent Reformulation of P=NP that Makes This Equality (Slighty) More Plausible, Jaime Nava and Vladik Kreinovich
Orthogonal Bases Are the Best: A Theorem Justifying Bruno Apolloni's Heuristic Neural Network Idea, Jaime Nava and Vladik Kreinovich
Theoretical Explanation of Bernstein Polynomials' Efficiency: They Are Optimal Combination of Optimal Endpoint-Related Functions, Jaime Nava and Vladik Kreinovich
Towards Interval Techniques for Model Validation, Jaime Nava and Vladik Kreinovich
Why Neural Networks Are Computationally Efficient Approximators: An Explanation, Jaime Nava and Vladik Kreinovich
Joggler: Data Harvest And Analysis Tool, Ondrej Nebesky
Towards a General Description of Translation-Invariant and Translation-Covariant Linear Transformations: A Natural Justification of Fourier Transforms and Fuzzy Transforms, Irina Perfilieva and Vladik Kreinovich
Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems: A Theoretical Explanation, Irina Perfilieva and Vladik Kreinovich
Processing Interval Sensor Data in the Presence of Outliers, with Potential Applications to Localizing Underwater Robots, Jan Sliwka, Luc Jaulin, Martine Ceberio, and Vladik Kreinovich