Technical Reports from 2005
Processing Educational Data: From Traditional Statistical Techniques to an Appropriate Combination of Probabilistic, Interval, and Fuzzy Approaches, Olga Kosheleva and Martine Ceberio
Monte-Carlo-Type Techniques for Processing Interval Uncertainty, and Their Potential Engineering Applications, Vladik Kreinovich, J. Beck, Carlos M. Ferregut, A. Sanchez, George R. Keller, Matthew G. Averill, and Scott A. Starks
Combining Interval, Probabilistic, and Fuzzy Uncertainty: Foundations, Algorithms, Challenges -- An Overview, Vladik Kreinovich, David J. Berleant, Scott Ferson, and Weldon A. Lodwick
Computing Best-Possible Bounds for the Distribution of a Sum of Several Variables is NP-Hard, Vladik Kreinovich and Scott Ferson
Why Product of Probabilities (Masses) for Independent Events? A Remark, Vladik Kreinovich and Scott Ferson
From Intervals to Domains: Towards a General Description of Validated Uncertainty, with Potential Applications to Geospatial and Meteorological Data, Vladik Kreinovich, Olga Kosheleva, Scott A. Starks, Kavitha Tupelly, Gracaliz P. Dimuro, Antonio C. da Costa Rocha, and Karen Villaverde
Kolmogorov Complexity Leads to a Representation Theorem for Idempotent Probabilities (Sigma-Maxitive Measures), Vladik Kreinovich and Luc Longpre
Interval Versions of Statistical Techniques with Applications to Environmental Analysis, Bioinformatics, and Privacy in Statistical Databases, Vladik Kreinovich, Luc Longpre, Scott A. Starks, Gang Xiang, Jan Beck, Raj Kandathi, Asis Nayak, Scott Ferson, and Janos Hajagos
Which Fuzzy Logic is the Best: Pragmatic Approach (and its Theoretical Analysis), Vladik Kreinovich and Hung T. Nguyen
Computing Mean and Variance under Dempster-Shafer Uncertainty: Towards Faster Algorithms, Vladik Kreinovich, Gang Xiang, and Scott Ferson
How the Concept of Information as Average Number of "Yes"-"No" Questions (Bits) Can Be Extended to Intervals, P-Boxes, and More General Uncertainty, Vladik Kreinovich, Gang Xiang, and Scott Ferson
Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations: Algorithms for Computing Statistics under Interval Uncertainty, and Their Computational Complexity, Vladik Kreinovich, Gang Xiang, Scott A. Starks, Luc Longpre, Martine Ceberio, Roberto Araiza, J. Beck, R. Kandathi, A. Nayak, R. Torres, and J. Hajagos
If an Exact Interval Computation Problem is NP-Hard, Then the Approximate Problem is Also NP-Hard: A Meta-Result, Aline B. Loreto, Laira V. Toscani, Leila Robeiro, Dalcidio M. Claudio, Liara S. Leal, Luc Longpre, and Vladik Kreinovich
A Universal Sensor Model, Valery Mazin and Vladik Kreinovich
Supporting Documentation for the 2003 SPS-Prospec Experiment, Oscar Mondragon and Salamah Salamah
Decision Making Beyond Arrow's "Impossibility Theorem", with the Analysis of Effects of Collusion and Mutual Attraction, Hung T. Nguyen, Olga Kosheleva, and Vladik Kreinovich
Optimization and Decision Making under Interval and Fuzzy Uncertainty: Towards New Mathematical Foundations, Hung T. Nguyen and Vladik Kreinovich
Interval-Based Robust Statistical Techniques for Non-Negative Convex Functions, with Application to Timing Analysis of Computer Chips, Michael Orshansky, Wei-Shen Wang, Martine Ceberio, and Gang Xiang
Exact Bounds for Interval and Fuzzy Functions under Monotonicity Constraints, with Potential Applications to Biostratigraphy, Emil Platon, Kavitha Tupelly, Vladik Kreinovich, Scott A. Starks, and Karen Villaverde
NSF Advance: Institutional Transformation for Faculty Diversity - Faculty Worklife Survey Results, Manuela Romero and Ann Q. Gates
Supporting Documentation for the SPS-Prospec Case Study, Salamah I. Salamah and Ann Q. Gates
Discrete Conservation of Nonnegativity for Elliptic Problems Solved by the hp-FEM, Pavel Solin, Thomas Vejchodsky, and Roberto Araiza
Kaluza-Klein 5D Ideas Made Fully Geometric, Scott A. Starks, Olga Kosheleva, and Vladik Kreinovich
From Fuzzification and Intervalization to Anglification: A New 5D Geometric Formalism for Physics and Data Processing, Scott A. Starks and Vladik Kreinovich
Some Usability Issues and Research Priorities in Spoken Dialog Applications, Nigel Ward, Anais G. Rivera, Karen Ward, and David G. Novick
New Algorithms for Statistical Analysis of Interval Data, Gang Xiang, Scott A. Starks, Vladik Kreinovich, and Luc Longpre
Technical Reports from 2004
GEON: Geophysical Data Add the 3rd Dimension in Geospatial Studies, R. Aldouri, George R. Keller, Ann Q. Gates, J. Rasillo, Leonardo Salayandia, Vladik Kreinovich, John M. Seeley, P. Taylor, and S. Holloway
Monte-Carlo-Type Techniques for Processing Interval Uncertainty, and Their Geophysical and Engineering Applications, Matthew G. Averill, Kate C. Miller, George R. Keller, Vladik Kreinovich, Jan Beck, Roberto Araiza, Roberto Torres, and Scott A. Starks
Interval-Valued and Fuzzy-Valued Random Variables: From Computing Sample Variances to Computing Sample Covariances, Jan B. Beck, Vladik Kreinovich, and Berlin Wu
Computing 2-Step Predictions for Interval-Valued Finite Stationary Markov Chains, Marcilia Andrade Campos, Gracaliz Pereira Dimuro, Antonio Carlos da Rocha Costa, and Vladik Kreinovich
On the Use of Intervals in Scientific Computing: What is the Best Transition from Linear to Quadratic Approximation?, Martine Ceberio, Vladik Kreinovich, and Lev Ginzburg
Advanced Relation Model for Genome Sequence Visualization (ARM 4 GSV): Exploratory Visualization Examples, Brian J. D'Auriol and Kavitha Tupelly
The Multi-Layered Interval Categorizer Tesselation-Based Model, Marilton S. de Aguiar, Gracaliz P. Dimuro, Antonio C. da Rocha Costa, Rafael K.S. Silva, Fabia A. da Costa, and Vladik Kreinovich
Using 1-D Radar Observations to Detect a Space Explosion Core Among the Explosion Fragments: Sequential and Distributed Algorithms, P. Debroux, J. Boehm, Vladik Kreinovich, Gang Xiang, J. Beck, K. Tupelly, R. Kandathi, Luc Longpre, and K. Villaverde
Modelling Measurement Processes as Timed Information Processes in Simplex Domains, Gracaliz P. Dimuro, Antonio C. da Rocha Costa, and Vladik Kreinovich
Exact Bounds on Finite Populations of Interval Data, Scott Ferson, Lev Ginzburg, Vladik Kreinovich, Luc Longpre, and Monica Aviles
Probabilistic Approach to Trust: Ideas, Algorithms, And Simulations, Pattama Jaksurat, Eric A. Freudenthal, Martine Ceberio, and Vladik Kreinovich
Convergence Properties of an Interval Probabilistic Approach to System Reliability Estimation, Cliff Joslyn and Vladik Kreinovich
Beyond Convex? Global Optimization is Feasible Only for Convex Objective Functions: A Theorem, R. Baker Kearfott and Vladik Kreinovich
Computing the Cube of an Interval Matrix is NP-Hard, Olga Kosheleva, Vladik Kreinovich, Guenter Mayer, and Hung T. Nguyen
Optimal Finite Characterization of Linear Problems with Inexact Data, Vladik Kreinovich
From Intervals to? Towards a General Description of Validated Uncertainty, Vladik Kreinovich, Gracaliz P. Dimuro, and Antonio C. da Rocha Costa
Towards Applying Computational Complexity to Foundations of Physics, Vladik Kreinovich and Andrei Finkelstein
Application of Kolmogorov Complexity to Advanced Problems in Mechanics, Vladik Kreinovich and Isaak A. Kunin
Fast Quantum Algorithms for Handling Probabilistic and Interval Uncertainty, Vladik Kreinovich and Luc Longpre
Computing Higher Central Moments for Interval Data, Vladik Kreinovich, Luc Longpre, Scott Ferson, and Lev Ginzburg
Outlier Detection under Interval Uncertainty: Algorithmic Solvability and Computational Complexity, Vladik Kreinovich, Luc Longpre, Praveen Patangay, Scott Ferson, and Lev Ginzburg
Probabilities, Intervals, What Next? Extension of Interval Computations to Situations with Partial Information about Probabilities, Vladik Kreinovich, Gennady N. Solopchenko, Scott Ferson, Lev Ginzburg, and Richard Alo
Geometric Approach to Detecting and Locating Cracks in Thin Plates by Lamb Wave Reflection: Case of Moving Transducer, Jose R. Mares, Roberto A. Osegueda, Nagaswaroopa Kaukuri, and Vladik Kreinovich