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Technical Reports from 2019

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Towards a More Efficient Representation of Functions in Quantum and Reversible Computing, Oscar Galindo, Laxman Bokati, and Vladik Kreinovich

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High Concentrations Naturally Lead to Fuzzy-Type Interactions and to Gravitational Wave Bursts, Oscar Galindo, Olga Kosheleva, and Vladik Kreinovich

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For Quantum and Reversible Computing, Intervals Are More Appropriate Than General Sets, And Fuzzy Numbers Than General Fuzzy Sets, Oscar Galindo and Vladik Kreinovich

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Nonlinear Mechanical Properties of Road Pavements: Geometric Symmetries Explain the Empirical Difference between Roads Built on Clay vs. Granular Soils, Afshin Gholamy and Vladik Kreinovich

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Beyond p-Boxes and Interval-Valued Moments: Natural Next Approximations to General Imprecise Probabilities, Olga Kosheleva and Vladik Kreinovich

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How to Organize Conferences: Systems Approach, Olga Kosheleva and Vladik Kreinovich

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Intuitive Idea of Implication vs. Formal Definition: How to Define the Corresponding Degree, Olga Kosheleva and Vladik Kreinovich

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Neutron Lifetime Puzzle and Nuclear Stability: A Possible Relation, Olga Kosheleva and Vladik Kreinovich

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Physics's Need for Interval Uncertainty and How It Explains Why Physical Space Is (at Least) 3-Dimensional, Olga Kosheleva and Vladik Kreinovich

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Systems Approach to Education: General Ideas, Olga Kosheleva and Vladik Kreinovich

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Why Bilingualism Helps Autistic Children Function: A Symmetry-Based Explanation, Olga Kosheleva and Vladik Kreinovich

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Why Beta Priors: Invariance-Based Explanation, Olga Kosheleva, Vladik Kreinovich, and Kittawit Autchariyapanitkul

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Why Triangular Membership Functions Are So Efficient in F-Transform Applications: A Global Explanation to Supplement the Existing Local One, Olga Kosheleva, Vladik Kreinovich, and Thach N. Nguyen

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Why Some Non-Classical Logics Are More Studied?, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Ranking-Based Voting Revisited: Maximum Entropy Approach Leads to Borda Count (and Its Versions), Olga Kosheleva, Vladik Kreinovich, and Guo Wei

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Egyptian Fractions Re-Revisited, Olga Kosheleva, Vladik Kreinovich, and Francisco Zapata

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Why Grade Distribution Is Often Multi-Modal: an Uncertainty-Based Explanation, Olga Kosheleva, Christian Servin, and Vladik Kreinovich

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Emerging Bilinguals Future Teachers' Digital Behavior in Online Pre-Calculus Class: Mixed Methods Study, Olga Kosheleva, Julian Viera Jr., and Vladik Kreinovich

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Computational Complexity of Experiment Design in Civil Engineering, Olga Kosheleva, Yan Wang, and Vladik Kreinovich

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Global Independence, Possible Local Dependence: Towards More Realistic Error Estimates for Indirect Measurements, Vladik Kreinovich

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The heresy of unheard-of simplicity: Comment on "The unreasonable effectiveness of small neural ensembles in high-dimensional brain" by A. N. Gorban, V. A. Makarov, and I. Y. Tyukin, Vladik Kreinovich

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In Alsina et al. Derivation of Min-Max Fuzzy Logic from Distributivity, All Conditions Are Necessary: A Proof, Vladik Kreinovich, Ildar Batyrshin, and Nailya Kubysheva

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How to Use Quantum Computing to Check Which Inputs Are Relevant: A Proof That Deutsch-Jozsa Algorithm Is, In Effect, the Only Possibility, Vladik Kreinovich, Martine Ceberio, and Ricardo Alvarez

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Deep Learning (Partly) Demystified, Vladik Kreinovich and Olga Kosheleva

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Geometric Reformulation of Learning Models Can Help Prepare Better Teachers, Vladik Kreinovich and Olga Kosheleva

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Joule's 19th Century Energy Conservation Meta-Law and the 20th Century Physics (Quantum Mechanics and General Relativity): 21st Century Analysis, Vladik Kreinovich and Olga Kosheleva

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Optimization under Uncertainty Explains Empirical Success of Deep Learning Heuristics, Vladik Kreinovich and Olga Kosheleva

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Why h-Index, Vladik Kreinovich, Olga Kosheleva, and Nguyen Hoang Phuong

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How to Reconcile Maximum Entropy Approach with Intuition: e.g., Should Interval Uncertainty Be Represented by a Uniform Distribution, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta

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Why Fuzzy Partition in F-Transform?, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta

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Use of Symmetries in Economics: An Overview, Vladik Kreinovich, Olga Kosheleva, Nguyen N. Thach, and Nguyen Duc Trung

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How to Make a Decision Based on the Minimum Bayes Factor (MBF): Explanation of the Jeffreys Scale, Vladik Kreinovich, Olga Kosheleva, and Nguyen Duc Trung

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Computing Without Computing: DNA Version, Vladik Kreinovich and Julio C. Urenda

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Softmax and McFadden's Discrete Choice under Interval (and Other) Uncertainty, Bartłomiej Jacek Kubica, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich

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Perfect Reproducibility Is Not Always Algorithmically Possible: A Pedagogical Observation, Jake Lasley, Salamah Salamah, and Vladik Kreinovich

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How to Gauge a Combination of Uncertainties of Different Type: General Foundations, Ingo Neumann, Vladik Kreinovich, and Thach N. Nguyen

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Calibration Helps Reduce Disagreement Between Different Pavement Condition Indices, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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How to Estimate Pavement Roughness: Beyond International Roughness Index, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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Towards a Theoretical Explanation of How Pavement Condition Index Deteriorates over Time, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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Relationship Between Measurement Results and Expert Estimates of Cumulative Quantities, on the Example of Pavement Roughness, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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Accuracy of Data Fusion: Interval (and Fuzzy) Case, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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How to Fuse Expert Knowledge: Not Always "And" but a Fuzzy Combination of "And" and "Or", Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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How to Define "and"- and "or"-Operations for Intuitionistic and Picture Fuzzy Sets, Christian Servin, Reynaldo Martinez, Peter Hanson, Leonel Lopez, and Vladik Kreinovich

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Hierarchial Multiclass Classification Works Better Than Direct Classification: An Explanation of the Empirical Fact, Julio Urenda, Nancy Avila, Nelly Gordillo, and Vladik Kreinovich

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Which Fourier Components Are Most Informative: General Idea and Case Studies, Julio Urenda, Nancy Avila, Nelly Gordillo, and Vladik Kreinovich

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How to Make Decisions: Consider Multiple Scenarios, Consult Experts, Play Down Emotions -- Quantitative Explanation of Commonsense Ideas, Julio Urenda, Francis Biney, Marco Cardiel, Perla De La O, Anthony DesArmier, Noa Dodson, Taylor Dodson, Sebastian Gonzalez, Laura Hinojos, Jorge Huerta, Ryan Jones, Oliver Martinez, Carlos A. Saldaña Matamoros, Manuel Muñoz, and Vladik Kreinovich

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Why Experts Sometimes Do Not Perform Well in Unusual Situations, Julio C. Urenda and Vladik Kreinovich

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Why The Obvious Necessary Condition is (Often) Also Sufficient (TONCAS): An Explanation of the Phenomenon, Julio C. Urenda and Vladik Kreinovich

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Why Top Experts Are Paid So Much: Economics-Based Explanation, Julio C. Urenda and Vladik Kreinovich

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How User Ratings Change with Time: Theoretical Explanation of an Empirical Formula, Julio Urenda, Manuel Hernandez, Natalia Villanueva Rosales, and Vladik Kreinovich