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Technical Reports from 2023

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Why Resilient Modulus Is Proportional to the Square Root of Unconfined Compressive Strength (UCS): A Qualitative Explanation, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich

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Why Inverse Layers in Pavement? Why Zipper Fracking? Why Interleaving in Education? A General Explanation, Edgar Daniel Rodriguez Velasquez, Aaron Velasco, Olga Kosheleva, and Vladik Kreinovich

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Everything Is a Matter of Degree: The Main Idea Behind Fuzzy Logic Is Useful in Geosciences and in Authorship, Christian Servin, Aaron Velasco, Edgar Daniel Rodriguez Velasquez, and Vladik Kreinovich

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If Everything is a Matter of Degree, Why Do Crisp Techniques Often Work Better?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich

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Is Fully Explainable AI Even Possible: Fuzzy-Based Analysis, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich

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The World Is Cognizable: An Argument Based on Hoermander's Theorem, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich

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What Do Goedel's Theorem and Arrow's Theorem Have in Common: A Possible Answer to Arrow's Question, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich

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When Is It Beneficial to Merge Two Companies? When Is it Beneficial to Start a Research Collaboration?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich

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How to Combine Probabilistic and Fuzzy Uncertainty: Theoretical Explanation of Clustering-Related Empirical Result, Lázló Szilágyi, Olga Kosheleva, and Vladik Kreinovich

From Fuzzy to Mobile Fuzzy, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, and Vladik Kreinovich

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Towards a Psychologically Natural Relation Between Colors and Fuzzy Degrees, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Interval-Valued and Set-Valued Extensions of Discrete Fuzzy Logics, Belnap Logic, and Color Optical Computing, Victor L. Timchenko, Yury P. Kondratenko, and Vladik Kreinovich

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Natural Color Interpretation of Interval-Valued Fuzzy Degrees, Victor L. Timchenko, Yury P. Kondratenko, Vladik Kreinovich, and Olga Kosheleva

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Why Unit Two-Variable-Per-Inequality (UTVPI) Constraints Are So Efficient to Handle: Intuitive Explanation, Saeid Tizpaz-Niari, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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How to Best Retrain a Neural Network If We Added One More Input Variable, Saeid Tizpaz-Niari and Vladik Kreinovich

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Fast -- Asymptotically Optimal -- Methods for Determining the Optimal Number of Features, Saied Tizpaz-Niari, Luc Longpré, Olga Kosheleva, and Vladik Kreinovich

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Why Micro-Funding? Why Small Businesses Are Important? Analysis Based on First Principles, Hein D. Tran, Edwin Tomy George, and Vladik Kreinovich

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Fuzzy Techniques Explain the Effectiveness of ReLU Activation Function in Deep Learning, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich

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Methodological Lesson of Pythagorean Triples, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich

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Why Deep Learning Is Under-Determined? Why Usual Numerical Methods for Solving Partial Differential Equations Do Not Preserve Energy? The Answers May Be Related to Chevalley-Warning Theorem (and Thus to Fermat Last Theorem), Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich

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Logical Inference Inevitably Appears: Fuzzy-Based Explanation, Julio C. Urenda, Olga Kosheleva, Vladik Kreinovich, and Orsolya Csiszar

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Giant Footprints of Buddha and Generalized Limits, Julio C. Urenda and Vladik Kreinovich

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Topological Explanation of Why Complex Numbers Are Needed in Quantum Physics, Julio C. Urenda and Vladik Kreinovich

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Usually, Either Left and Right Brains Are Equally Active or Only One of Them Is Active: First-Principles Explanation, Julio C. Urenda and Vladik Kreinovich

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Why Attitudes Are Usually Mutual: A Possible Mathematical Explanation, Julio C. Urenda and Vladik Kreinovich

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Why Gliding Symmetry Used to Be Prevalent in Biology But Practically Disappeared, Julio C. Urenda and Vladik Kreinovich

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Low-Probability High-Impact Events Are Even More Important Than It Is Usually Assumed, Aaron Velasco, Olga Kosheleva, and Vladik Kreinovich

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Why 6-Labels Uncertainty Scale in Geosciences: Probability-Based Explanation, Aaron Velasco, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich

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Dialogs Re-enacted Across Languages, Version 2, Nigel G. Ward, Jonathan E. Avila, Emilia Rivas, and Divette Marco

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How to Propagate Interval (and Fuzzy) Uncertainty: Optimism-Pessimism Approach, Vinícius F. Wasques, Olga Kosheleva, and Vladik Kreinovich

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People Prefer More Information About Uncertainty, But Perform Worse When Given This Information: An Explanation of the Paradoxical Phenomenon, Jieqiong Zhao, Olga Kosheleva, and Vladik Kreinovich

Technical Reports from 2022

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How to Make Inflation Optimal and Fair, Sean Aguilar and Vladik Kreinovich

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Why Best-Worst Method Works Well, Sean Aguilar and Vladik Kreinovich

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Why Decision Paralysis, Sean Aguilar and Vladik Kreinovich

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Why Seneca Effect?, Sean R. Aguilar and Vladik Kreinovich

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Hunting Habits of Predatory Birds: Theoretical Explanation of an Empirical Formula, Adilene Alaniz, Jiovani Hernandez, Andres D. Munoz, and Vladik Kreinovich

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Why Rectified Linear Unit is Efficient in Machine Learning: One More Explanation, Barnabas Bede, Vladik Kreinovich, and Uyen Pham

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Why Constraint Interval Arithmetic Works Well: A Theorem Explains Empirical Success, Barnabas Bede, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich

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How to elicit complex-valued fuzzy degrees, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich

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Why Rarity Score Is a Good Evaluation of a Non-Fungible Token, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich

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Why Quantiles Are a Good Description of Volatility in Economics: An Alternative Explanation, Laxman Bokati, Olga Kosheleva, Vladik Kreinovich, and Kittawit Autchariyapanitkul

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Why Decreased Gaps Between Brain Cells Cause Severe Headaches: A Symmetry-Based Geometric Explanation, Laxman Bokati, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Why Shapley Value and Its Variants Are Useful in Machine Learning (and in Other Applications), Laxman Bokati, Olga Kosheleva, Vladik Kreinovich, and Nguye Ngoc Thach

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Why Exponential Almon Lag Works Well in Econometrics: An Invariance-Based Explanation, Laxman Bokati and Vladik Kreinovich

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Why Micro-Size Objects Affect the Flow Much More than Larger Ones: A Geometric Explanations with Applications Ranging from Volcanoes and Tornadoes to Blood, Fish, and Building Preservation, Laxman Bokati and Vladik Kreinovich

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Why Smaller-Size Objects Affect the Flow Much More than Larger Ones: A Geometric Explanation with Applications Ranging from Volcanoes and Tornadoes to Blood, Fish, and Building Preservation, Laxman Bokati and Vladik Kreinovich

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Why Time Seems to Pass Slowly for Unpleasant Experiences and Quickly for Pleasant Experiences: An Explanation Based on Decision Theory, Laxman Bokati and Vladik Kreinovich

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Why Rectified Power (RePU) Activation Functions Are Efficient in Deep Learning: A Theoretical Explanation, Laxman Bokati, Vladik Kreinovich, Joseph Baca, and Natasha Rovelli

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A Possible Common Mechanism Behind Skew Normal Distributions in Economics and Hydraulic Fracturing-Induced Seismicity, Laxman Bokati, Aaron Velasco, Vladik Kreinovich, and Kittawit Autchariyapanitkul

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How to Describe Relative Approximation Error? A New Justification for Gustafson's Logarithmic Expression, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich