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Technical Reports from 2017

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Negotiations vs. Confrontation: A Possible Explanation of the Empirical Results, Olga Kosheleva and Vladik Kreinovich

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Physical Induction Explains Why Over-Realistic Animation Sometimes Feels Creepy, Olga Kosheleva and Vladik Kreinovich

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Propagation of Probabilistic Uncertainty: The Simplest Case (A Brief Pedagogical Introduction), Olga Kosheleva and Vladik Kreinovich

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The Onsager Conjecture: A Pedagogical Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Deep Learning Methods Use KL Divergence Instead of Least Squares: A Possible Pedagogical Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Triangular Membership Functions Are Often Efficient in F-Transform Applications: Relation to Interval Uncertainty\\ and Haar Wavelets, Olga Kosheleva and Vladik Kreinovich

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Why West-to-East Jetlag Is More Severe: A Simple Qualitative Explanation, Olga Kosheleva and Vladik Kreinovich

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Simplest Polynomial for Which Naive (Straightforward) Interval Computations Cannot Be Exact, Olga Kosheleva, Vladik Kreinovich, and Songsak Sriboonchitta

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Almost All Diophantine Sets Are Undecidable, Vladik Kreinovich

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How to Deal with Uncertainties in Computing: from Probabilistic and Interval Uncertainty to Combination of Different Approaches, with Applications to Engineering and Bioinformatics, Vladik Kreinovich

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Towards Predictive Statistics: A Pedagogical Explanation, Vladik Kreinovich

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Why Some Physicists Are Excited About the Undecidability of the Spectral Gap Problem and Why Should We, Vladik Kreinovich

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How to Estimate Statistical Characteristics Based on a Sample: Nonparametric Maximum Likelihood Approach Leads to Sample Mean, Sample Variance, etc., Vladik Kreinovich and Thongchai Dumrongpokaphan

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How to Gauge Accuracy of Processing Big Data: Teaching Machine Learning Techniques to Gauge Their Own Accuracy, Vladik Kreinovich, Thongchai Dumrongpokaphan, Hung T. Nguyen, and Olga Kosheleva

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Beyond Traditional Applications of Fuzzy Techniques: Main Idea and Case Studies, Vladik Kreinovich, Olga Kosheleva, and Thongchai Dumrongpokaphan

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Probabilistic and More General Uncertainty-Based (e.g., Fuzzy) Approaches to Crisp Clustering Explain the Empirical Success of the K-Sets Algorithm, Vladik Kreinovich, Olga Kosheleva, Shahnaz Shahbazova, and Songsak Sriboonchitta

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Z-Numbers: How They Describe Student Confidence and How They Can Explain (and Improve) Laplacian and Schroedinger Eigenmap Dimension Reduction in Data Analysis, Vladik Kreinovich, Olga Kosheleva, and Michael Zakharevich

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Efficient Parameter-Estimating Algorithms for Symmetry-Motivated Models: Econometrics and Beyond, Vladik Kreinovich, Anh H. Ly, Olga Kosheleva, and Songsak Sriboonchitta

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Quantum Ideas in Economics Beyond Quantum Econometrics, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta

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How Better Are Predictive Models: Analysis on the Practically Important Example of Robust Interval Uncertainty, Vladik Kreinovich, Hung T. Nguyen, Songsak Sriboonchitta, and Olga Kosheleva

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Quantitative Justification for the Gravity Model in Economics, Vladik Kreinovich and Songsak Sriboonchitta

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What Decision to Make In a Conflict Situation under Interval Uncertainty: Efficient Algorithms for the Hurwzcz Approach, Bartłomiej Jacek Kubica, Andrzej Pownuk, and Vladik Kreinovich

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In System Identification, Interval (and Fuzzy) Estimates Can Lead to Much Better Accuracy than the Traditional Statistical Ones: General Algorithm and Case Study, Sergey I. Kumkov, Vladik Kreinovich, and Andrzej Pownuk

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Entropy as a Measure of Average Loss of Privacy, Luc Longpre, Vladik Kreinovich, and Thongchai Dumrongpokaphan

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An Ancient Bankruptcy Solution Makes Economic Sense, Anh H. Ly, Michael Zakharevich, Olga Kosheleva, and Vladik Kreinovich

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Probabilistic Graphical Models Follow Directly From Maximum Entropy, Anh H. Ly, Francisco Zapata, Olac Fuentes, and Vladik Kreinovich

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Does the Universe Really Expand Faster than the Speed of Light: Kinematic Analysis Based on Special Relativity and Copernican Principle, Reynaldo Martinez and Vladik Kreinovich

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How to Gauge the Accuracy of Fuzzy Control Recommendations: A Simple Idea, Patricia Melin, Oscar Castillo, Andrzej Pownuk, Olga Kosheleva, and Vladik Kreinovich

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Why Decimal System and Binary System Are the Most Widely Used: A Possible Explanation, Gerardo Muela

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It Is Possible to Determine Exact Fuzzy Values Based on an Ordering of Interval-Valued or Set-Valued Fuzzy Degrees, Gerardo Muela, Olga Kosheleva, and Vladik Kreinovich

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Uncertain Information Fusion and Knowledge Integration: How to Take Reliability into Account, Hung T. Nguyen, Kittawit Autchariyapanitkul, Olga Kosheleva, and Vladik Kreinovich

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Quantum Econometrics: How to Explain Its Quantitative Successes and How the Resulting Formulas Are Related to Scale Invariance, Entropy, Fuzzy, and Copulas, Hung T. Nguyen, Kittawit Autchariyapanitkul, Olga Kosheleva, Vladik Kreinovich, and Songsak Sriboonchitta

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Fuzzy Techniques Explain Empirical Power Law Governing Wars and Terrorist Attacks, Hung T. Nguyen, Kittawit Autchariyapanitkul, and Vladik Kreinovich

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Maximum Entropy Approach to Interbank Lending: Towards a More Accurate Algorithm, Thach N. Nguyen, Olga Kosheleva, and Vladik Kreinovich

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Maximum Entropy Beyond Selecting Probability Distributions, Thach N. Nguyen, Olga Kosheleva, and Vladik Kreinovich

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A Symmetry-Based Explanation for an Empirical Model of Fatigue Damage of Composite Materials, Pedro Barragan Olague and Vladik Kreinovich

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Prediction of Volcanic Eruptions as a Case Study of Predicting Rare Events in Chaotic Systems with Delay, Justin Parra, Olac Fuentes, Elizabeth Y. Anthony, and Vladik Kreinovich

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Towards Decision Making under General Uncertainty, Andrzej Pownuk, Olga Kosheleva, and Vladik Kreinovich

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Granular Approach to Data Processing Under Probabilistic Uncertainty, Andrzej Pownuk and Vladik Kreinovich

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(Hypothetical) Negative Probabilities Can Speed Up Uncertainty Propagation Algorithms, Andrzej Pownuk and Vladik Kreinovich

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Isn't Every Sufficiently Complex Logic Multi-Valued Already: Lindenbaum-Tarski Algebra and Fuzzy logic Are Both Particular Cases of the Same Idea, Andrzej Pownuk and Vladik Kreinovich

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Which Value x Best Represents a Sample x1, ..., xn: Utility-Based Approach Under Interval Uncertainty, Andrzej Pownuk and Vladik Kreinovich

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Why Linear Interpolation?, Andrzej Pownuk and Vladik Kreinovich

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Why Mixture of Probability Distributions, Andrzej Pownuk and Vladik Kreinovich

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Why Unexpectedly Positive Experiences Make Decision Makers More Optimistic: An Explanation, Andrzej Pownuk and Vladik Kreinovich

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A Thought on Refactoring Java Loops Using Java 8 Streams, Khandoker Rahad, Zejing Cao, and Yoonsik Cheon

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How to Make A Proof of Halting Problem More Convincing: A Pedagogical Remark, Benjamin W. Robertson, Olga Kosheleva, and Vladik Kreinovich

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Why Student Distributions? Why Matern's Covariance Model? A Symmetry-Based Explanation, Steffen Schön, Gaël Kermarrec, Boris Kargoll, Ingo Neumann, Olga Kosheleva, and Vladik Kreinovich

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In Fuzzy Decision Making, General Fuzzy Sets Can Be Replaced by Fuzzy Numbers, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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No Idea Is a Bad Idea: A Theoretical Explanation, Christian Servin and Vladik Kreinovich