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Technical Reports from 2018

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Reverse Mathematics Is Computable for Interval Computations, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Why Zipf's Law: A Symmetry-Based Explanation, Daniel Cervantes, Olga Kosheleva, and Vladik Kreinovich

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Analysis of Prosody Around Turn Starts, Gerardo Cervantes and Nigel Ward

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Soft Computing Ideas Can Help Earthquake Geophysics, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich

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How to Monitor Possible Side Effects of Enhanced Oil Recovery Process, Jose Manuel Dominguez Esquivel, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich

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Why Hammerstein-Type Block Models Are So Efficient: Case Study of Financial Econometrics, Thongchai Dumrongpokaphan, Afshin Gholamy, Vladik Kreinovich, and Nguyen Hoang Phuong

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Translating Discrete Estimates into a Less Detailed Scale: An Optimal Approach, Thongchai Dumrongpokaphan, Olga Kosheleva, and Vladik Kreinovich

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Why Threshold Models: A Theoretical Explanation, Thongchai Dumrongpokaphan, Vladik Kreinovich, and Songsak Sriboonchitta

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Why Max and Average Poolings are Optimal in Convolutional Neural Networks, Ahnaf Farhan, Olga Kosheleva, and Vladik Kreinovich

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Why Skew Normal: A Simple Pedagogical Explanation, José Guadalupe Flores Muñiz, Vyacheslav Kalashnikov, Nataliya Kalashnykova, Olga Kosheleva, and Vladik Kreinovich

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Towards Parallel Quantum Computing: Standard Quantum Teleportation Algorithm Is, in Some Reasonable Sense, Unique, Oscar Galindo, Olga Kosheleva, and Vladik Kreinovich

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Current Quantum Cryptography Algorithm Is Optimal: A Proof, Oscar Galindo, Vladik Kreinovich, and Olga Kosheleva

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Why Triangular and Trapezoid Membership Functions Are Efficient in Design Applications, Afshin Gholamy, Olga Kosheleva, and Vladik Kreinovich

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How Many Monte-Carlo Simulations Are Needed to Adequately Process Interval Uncertainty: An Explanation of the Smart Electric Grid-Related Simulation Results, Afshin Gholamy and Vladik Kreinovich

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Why 70/30 or 80/20 Relation Between Training and Testing Sets: A Pedagogical Explanation, Afshin Gholamy, Vladik Kreinovich, and Olga Kosheleva

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Virtual Agent Interaction Framework (VAIF): A Tool for Rapid Development of Social Agents, Ivan Gris and David G. Novick

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Optimization of Quadratic Forms and t-norm Forms on Interval Domain and Computational Complexity, Milan Hladik, Michal Čerńy, and Vladik Kreinovich

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When Is Data Processing Under Interval and Fuzzy Uncertainty Feasible: What If Few Inputs Interact? Does Feasibility Depend on How We Describe Interaction?, Milan Hladík, Michal Čerńy, and Vladik Kreinovich

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How to Efficiently Compute Ranges Over a Difference Between Boxes, With Applications to Underwater Localization, Luc Jaulin, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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How to Describe Correlation in the Interval Case?, Carlos Jimenez, Francisco Zapata, and Vladik Kreinovich

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All Maximally Complex Problems Allow Simplifying Divide-and-Conquer Approach: Intuitive Explanation of a Somewhat Counterintuitive Ladner's Result, Olga Kosheleva and Vladik Kreinovich

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Comparing US and Russian Grading Scales, Olga Kosheleva and Vladik Kreinovich

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How Intelligence Community Interprets Imprecise (Fuzzy) Words, and How to Justify This Empirical-Based Interpretation, Olga Kosheleva and Vladik Kreinovich

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How to Explain the Results of the Richard Thaler's 1997 Financial Times Contest, Olga Kosheleva and Vladik Kreinovich

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In the Discrete Case, Averaging Cannot Be Consistent, Olga Kosheleva and Vladik Kreinovich

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Measures of Specificity Used in the Principle of Justifiable Granularity: A Theoretical Explanation of Empirically Optimal Selections, Olga Kosheleva and Vladik Kreinovich

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Relativistic Effects Can Be Used to Achieve a Universal Square-Root (Or Even Faster) Computation Speedup, Olga Kosheleva and Vladik Kreinovich

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Secure Multi-Agent Quantum Communication: Towards the Most Efficient Scheme (A Pedagogical Remark), Olga Kosheleva and Vladik Kreinovich

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Why Asset-Based Approach to Teaching Is More Effective than the Usual Deficit-Based Approach, and Why The New Approach Is Not Easy to Implement: A Simple Geometric Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Bellman-Zadeh Approach to Fuzzy Optimization, Olga Kosheleva and Vladik Kreinovich

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Why Early Galaxies Were Pickle-Shaped: A Geometric Explanation, Olga Kosheleva and Vladik Kreinovich

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Why STEM?, Olga Kosheleva and Vladik Kreinovich

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Why Superforecasters Change Their Estimates on Average by 3.5%: A Possible Theoretical Explanation, Olga Kosheleva and Vladik Kreinovich

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A Symmetry-Based Explanation of the Main Idea Behind Chubanov's Linear Programming Algorithm, Olga Kosheleva, Vladik Kreinovich, and Thongchai Dumrongpokaphan

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Type-2 Fuzzy Analysis Explains Ubiquity of Triangular and Trapezoid Membership Functions, Olga Kosheleva, Vladik Kreinovich, and Shahnaz Shahbazova

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From Gig Economy to Gig Education, Olga Kosheleva, Julian Viera Jr., and Vladik Kreinovich

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Should School Feel Like a Family: Lessons from Business Controversy as Interpreted by Decision Making Theory, Olga Kosheleva, Julian Viera Jr., and Vladik Kreinovich

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From Traditional Neural Networks to Deep Learning: Towards Mathematical Foundations of Empirical Successes, Vladik Kreinovich

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Lotfi Zadeh: a Pioneer in AI, a Pioneer in Statistical Analysis, a Pioneer in Foundations of Mathematics, and a True Citizen of the World, Vladik Kreinovich

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Symmetries Are Important, Vladik Kreinovich

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Why Encubation?, Vladik Kreinovich, Rohan Baingolkar, Swapnil S. Chauhan, and Ishtjot S. Kamboj

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Optimization under Fuzzy Constraints: From a Heuristic Algorithm to an Algorithm That Always Converges, Vladik Kreinovich and Juan Carlos Figueroa-Garcia

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A Turing Machine Is Just a Finite Automaton with Two Stacks: A Comment on Teaching Theory of Computation, Vladik Kreinovich and Olga Kosheleva

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Which Fuzzy Logic Operations Are Most Appropriate for Ontological Semantics: Theoretical Explanation of Empirical Observations, Vladik Kreinovich and Olga Kosheleva

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Economics of Commitment: Why Giving Away Some Freedom Makes Sense, Vladik Kreinovich, Olga Kosheleva, Mahdokhat Afravi, Genesis Bejarano, and Marisol Chacon

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Which t-Norm Is Most Appropriate for Bellman-Zadeh Optimization, Vladik Kreinovich, Olga Kosheleva, and Shahnaz Shahbazova

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Why Triangular and Trapezoid Membership Functions: A Simple Explanation, Vladik Kreinovich, Olga Kosheleva, and Shahnaz Shahbazova

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Why Bohmian Approach to Quantum Econometrics: An Algebraic Explanation, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta

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When Is Propagation of Interval and Fuzzy Uncertainty Feasible?, Vladik Kreinovich, Andrzej Pownuk, Olga Kosheleva, and Aleksandra Belina

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Can Mass Be Negative?, Vladik Kreinovich and Sergei Soloviev