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Technical Reports from 2023

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How People Make Decisions Based on Prior Experience: Formulas of Instance-Based Learning Theory (ILBT) Follow from Scale Invariance, Palvi Aggarwal, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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How to Estimate Unknown Unknowns: From Cosmic Light to Election Polls, Talha Azfar, Vignesh Ponraj, Vladik Kreinovich, and Nguyen Hoang Phuong

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Integrity First, Service Before Self, and Excellence: Core Values of US Air Force Naturally Follow from Decision Theory, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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How to Make Decision Under Interval Uncertainty: Description of All Reasonable Partial Orders on the Set of All Intervals, Tiago M. Costa, Olga Kosheleva, and Vladik Kreinovich

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Selecting the Most Adequate Fuzzy Operation for Explainable AI: Empirical Fact and Its Possible Theoretical Explanation, Orsolya Csiszar, Gábor Csiszar, Martine Ceberio, and Vladik Kreinovich

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Why Fuzzy Control Is Often More Robust (and Smoother): A Theoretical Explanation, Orsolya Csiszar, Gábor Csiszar, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich

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We Can Always Reduce a Non-Linear Dynamical System to Linear -- at Least Locally -- But Does It Help?, Orsolya Csiszar, Gábor Csiszar, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Which Activation Function Works Best for Training Artificial Pancreas: Empirical Fact and Its Theoretical Explanation, Lehel Dénes-Fazakas, Lásló Szilágyi, György Eigner, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich

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Why Bump Reward Function Works Well In Training Insulin Delivery Systems, Lehel Dénes-Fazakas, Lásló Szilágyi, Gyorgy Eigner, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Algebraic Product Is the Only "And-Like"-Operation for Which Normalized Intersection Is Associative: A Proof, Thierry Denœx and Vladik Kreinovich

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Conflict Situations Are Inevitable When There Are Many Participants: A Proof Based on the Analysis of Aumann-Shapley Value, Sofia Holguin and Vladik Kreinovich

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Fuzzy Mathematics under Non-Minimal "And"-Operations (t-Norms): Equivalence leads to Metric, Order Leads to Kinematic Metric, Topology Leads to Area or Volume, Purbita Jana, Olga Kosheleva, and Vladik Kreinovich

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Causality: Hypergraphs, Matter of Degree, Foundations of Cosmology, Cliff Joslyn, Andres Ortiz-Muñoz, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich

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SUCCESS (Studying Underlying Characteristics of Computing and Engineering Student Success) Survey: Non-Cognitive and Affective Profiles in Engineering and Computing Students at UTEP (2018-2022), Sanga Kim, Christian Teran Lopez, Andres Segura, and Gabriel Miki

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Industry-Academia Collaboration: Main Challenges and What Can We Do, Olga Kosheleva and Vladik Kreinovich

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What Was More Frequently Used -- "And" or "Or": Based on Analysis of European Languages, Olga Kosheleva and Vladik Kreinovich

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Wormholes, Superfast Computations, and Selivanov's Theorem, Olga Kosheleva and Vladik Kreinovich

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How to Select A Model If We Know Probabilities with Interval Uncertainty, Vladik Kreinovich

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Why Softmax? Because It Is the Only Consistent Approach to Probability-Based Classification, Anatole Lokshin and Vladik Kreinovich

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Complex Numbers Explain Why in Chinese Tradition, 4 Is Bad But 8 Is Good, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich

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Designing an Optimal Medicine Cocktail Is NP-Hard, Luc Longpre and Vladik Kreinovich

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Towards Decision Making Under Interval Uncertainty, Juan A. Lopez and Vladik Kreinovich

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Which Fuzzy Implications Operations Are Polynomial? A Theorem Proves That This Can Be Determined by a Finite Set of Inequalities, Sebastia Massanet, Olga Kosheleva, and Vladik Kreinovich

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Why Fractional Fuzzy, Mehran Mazandarani, Olga Kosheleva, and Vladik Kreinovich

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Foundations of Neural Networks Explain the Empirical Success of the "Surrogate" Approach to Ordinal Regression -- and Recommend What Next, Salvador Robles, Martine Ceberio, and Vladik Kreinovich

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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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How to Combine Probabilistic and Fuzzy Uncertainty: Theoretical Explanation of Clustering-Related Empirical Result, Lázló Szilágyi, 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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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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Topological Explanation of Why Complex Numbers Are Needed in Quantum Physics, 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