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Technical Reports from 2013

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Towards Discrete Interval, Set, and Fuzzy Computations, Enrique Portillo, Olga Kosheleva, and Vladik Kreinovich

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Checking Monotonicity Is NP-Hard Even for Cubic Polynomials, Andrzej Pownuk, Luc Longpre, and Vladik Kreinovich

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Why ℓ1 Is a Good Approximation to ℓ0: A Geometric Explanation, Carlos Ramirez, Vladik Kreinovich, and Miguel Argaez

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√(x2 + μ) is the Most Computationally Efficient Smooth Approximation to |x|: a Proof, Carlos Ramirez, Reinaldo Sanchez, Vladik Kreinovich, and Miguel Argaez

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Relation Between Polling and Likert-Scale Approaches to Eliciting Membership Degrees Clarified by Quantum Computing, Renata Hax Sander Reiser, Adriano Maron, Lidiane Visintin, Ana Maria Abeijon, and Vladik Kreinovich

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An Ontological Approach to Capture Data Provenance Across Multiple Platforms, Leonardo Salayandia

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From p-Boxes to p-Ellipsoids: Towards an Optimal Representation of Imprecise Probabilities, Konstantin K. Semenov and Vladik Kreinovich

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How to Gauge Accuracy of Measurements and of Expert Estimates: Beyond Normal Distributions, Christian Servin, Aline Jaimes, Craig Tweedie, Aaron A. Velasco, Omar Ochoa, and Vladik Kreinovich

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Images are Easier to Restore than 1-D Signals: A Theoretical Explanation of a Surprising Empirical Phenomenon, Christian Servin and Vladik Kreinovich

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A Vine Copula Approach for Analyzing Financial Risk and Co-movement of the Indonesian, Philippine and Thailand Stock Markets, Songsak Sriboonchitta, Jianxu Liu, Vladik Kreinovich, and Hung T. Nguyen

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Vine Copulas as a Way to Describe and Analyze Multi-Variate Dependence in Econometrics: Computational Motivation and Comparison with Bayesian Networks and Fuzzy Approaches, Songsak Sriboonchitta, Jianxu Liu, Vladik Kreinovich, and Hung T. Nguyen

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Fuzziness and Bayesian Analysis in Engineering, Matthias Stein, Michael Beer, and Vladik Kreinovich

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Bayesian Approach for Inconsistent Information, M. Stein, Michael Beer, and Vladik Kreinovich

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Enhancing the Expressiveness of the CleanJava Language, Melisa Vela and Yoonsik Cheon

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Aggregation Operations from Quantum Computing, Lidiane Visintin, Adriano Maron, Renata Reiser, Ana Maria Abeijon, and Vladik Kreinovich

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Towards Fuzzy Method for Estimating Prediction Accuracy for Discrete Inputs, with Application to Predicting At-Risk Students, Xiaojing Wang, Martine Ceberio, and Angel F. Garcia Contreras

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Lexical and Prosodic Indicators of Importance in Spoken Dialog, Nigel G. Ward and Karen A. Richart-Ruiz

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Data Collection for the Similar Segments in Social Speech Task, Nigel G. Ward and Steven D. Werner

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Data Anonymization that Leads to the Most Accurate Estimates of Statistical Characteristics, Gang Xiang and Vladik Kreinovich

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Data Anonymization that Leads to the Most Accurate Estimates of Statistical Characteristics: Fuzzy-Motivated Approach, G. Xiang, S. Ferson, L. Ginzburg, L. Longpre, E. Mayorga, and O. Kosheleva

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CJC: An Extensible Checker for the CleanJava Annotation Language, Cesar Yeep

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A New Analog Optical Processing Scheme for Solving NP-Hard Problems, Michael Zakharevich and Vladik Kreinovich

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How to Faster Test a Device for Different Combinations of Parameters, Francisco Zapata, Luis C. Gutierrez, and Vladik Kreinovich

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Knowledge Geometry Is Similar to General Relativity: Both Mass and Knowledge Curve the Corresponding Spaces, Francisco Zapata and Vladik Kreinovich

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How to Generate Worst-Case Scenarios When Testing Already Deployed Systems Against Unexpected Situations, Francisco Zapata, Ricardo Pineda, and Martine Ceberio

Technical Reports from 2012

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Decision Making under Interval and Fuzzy Uncertainty: Towards an Operational Approach, Rafik Aliev, Oleg H. Huseynov, and Vladik Kreinovich

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Algorithmics of Checking Whether a Mapping Is Injective, Surjective, and/or Bijective, E. Cabral Balreira, Olga Kosheleva, and Vladik Kreinovich

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Interval or Moments: Which Carry More Information?, Michael Beer and Vladik Kreinovich

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Estimating Statistical Characteristics of Lognormal and Delta-Lognormal Distributions under Interval Uncertainty: Algorithms and Computational Complexity, Nitaya Buntao, Sa-aat Niwitpong, and Vladik Kreinovich

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Simplicity Is Worse Than Theft: A Constraint-Based Explanation of a Seemingly Counter-Intuitive Russian Saying, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Extending Java for Android Programming, Yoonsik Cheon

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Kansei Engineering: Towards Optimal Set of Designs, Van-Nam Huynh, Octavio Lerma, and Vladik Kreinovich

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Estimating Correlation under Interval and Fuzzy Uncertainty: Case of Hierarchical Estimation, Ali Jalal-Kamali

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How to Define Average Class Size (and Deviations from the Average Class Size) in a Way Which Is Most Adequate for Teaching Effectiveness, Olga Kosheleva and Vladik Kreinovich

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How to Divide Students into Groups so as to Optimize Learning: Towards a Solution to a Pedagogy-Related Optimization Problem, Olga Kosheleva and Vladik Kreinovich

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Should Voting be Mandatory? Democratic Decision Making from the Economic Viewpoint, Olga Kosheleva, Vladik Kreinovich, and Boakun Li

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Kinematic Spaces and de Vries Algebras: Towards Possible Physical Meaning of de Vries Algebras, Olga Kosheleva and Francisco Zapata

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Decision Making under Interval Uncertainty (and Beyond), Vladik Kreinovich

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How to Define Relative Approximation Error of an Interval Estimate: A Proposal, Vladik Kreinovich

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In Applications, A Rigorous Proof Is Not Enough: It Is Also Important to Have an Intuitive Understanding, Vladik Kreinovich

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In Quantum Physics, Free Will Leads to Nonconservation of Energy, Vladik Kreinovich

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Interval Uncertainty as the Basis for a General Description of Uncertainty: A Position Paper, Vladik Kreinovich

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Membership Functions or alpha-Cuts? Algorithmic (Constructivist) Analysis Justifies an Interval Approach, Vladik Kreinovich

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Negative Results of Computable Analysis Disappear If We Restrict Ourselves to Random (Or, More Generally, Typical) Inputs, Vladik Kreinovich

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Research-related Projects for Graduate Students as a Tool to Motivate Graduate Students in Classes Outside Their Direct Interest Areas, Vladik Kreinovich

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Towards Formalizing Non-Monotonic Reasoning in Physics: Logical Approach Based on Physical Induction and Its Relation to Kolmogorov Complexity, Vladik Kreinovich

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Towards Optimizing Cloud Computing: An Example of Optimization under Uncertainty, Vladik Kreinovich

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Zadeh's Vision of Going from Fuzzy to Computing With Words: from the Idea's Origin to Current Successes to Remaining Challenges, Vladik Kreinovich

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Optimizing Computer Representation and Computer Processing of Epistemic Uncertainty for Risk-Informed Decision Making: Finances etc., Vladik Kreinovich, Nitaya Buntao, and Olga Kosheleva

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How to Define Mean, Variance, etc., for Heavy-Tailed Distributions: A Fractal-Motivated Approach, Vladik Kreinovich and Olga Kosheleva