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Technical Reports from 2021

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How Probabilistic Methods for Data Fitting Deal with Interval Uncertainty: A More Realistic Analysis, Vladik Kreinovich and Sergey P. Shary

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Additional Spatial Dimensions Can Help Speed Up Computations, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich

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Baudelaire's Ideas of Vagueness and Uniqueness in Art: Algorithm-Based Explanations, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich

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How to Gauge the Quality of a Multi-Class Classification When Ground Truth Is Known with Uncertainty, Ricardo Mendez, Osagumwenro Osaretin, and Vladik Kreinovich

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So how to make group decisions? Arrow's Impossibility Theorem 70 years after, Hung T. Nguyen, Olga Kosheleva, and Vladik Kreinovich

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Different Concepts, Similar Computational Complexity: Nguyen's Results about Fuzzy and Interval Computations 35 Years Later, Hung T. Nguyen and Vladik Kreinovich

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Why Moments (and Generalized Moments) Are Used in Statistics and Why Expected Utility Is Used in Decision Making: A Possible Explanation, R. Noah Padilla and Vladik Kreinovich

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Why Do People Become Addicted: Towards a Theoretical Explanation for Eyal's Experiment-Based Hook Model, Christopher Reyes and Vladik Kreinovich

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Fault Detection in a Smart Electric Grid: Geometric Analysis, Hector Reyes, Dillon Trinh, and Vladik Kreinovich

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Why Model Order Reduction, Salvador Robles, Martine Ceberio, and Vladik Kreinovich

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How Void Ratio Depends on Grain Size In Soil Mechanics: Theoretical Explanation, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich

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What Is the True Formula for Soil Permeability? Not Clear, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich

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Invariance-Based Approach: General Methods and Pavement Engineering Case Study, Edgar Daniel Rodriguez Velasquez, Vladik Kreinovich, and Olga Kosheleva

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How the Pavement's Lifetime Depends on the Stress Level: An Explanation of the Empirical Formula, Edgar Daniel Rodriguez Velasquez, Vladik Kreinovich, Olga Kosheleva, and Hoang Phuong Nguyen

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Geometric Analysis Leads to Adversarial Teaching of Cybersecurity, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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Shall We Ignore All Intermediate Grades?, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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What Teachers Can Learn from Machine Learning, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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Why 70/100 Is Satisfactory? Why Five Letter Grades? Why Other Academic Conventions?, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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How to Gauge Students' Ability to Collaborate?, Christian Servin, Olga Kosheleva, Shahnaz Shahbazova, and Vladik Kreinovich

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Ethical Dilemma of Self-Driving Cars: Conservative Solution, Christian Servin, Vladik Kreinovich, and Shahnaz Shahbazova

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What Fuzzy and Quantum Computing Can Learn from the Success of Deep Learning, Shahnaz Shahbazova and Vladik Kreinovich

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As Complexity Rises, Meaningful Statements Lose Precision -- but Why?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich

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Shall We Be Foxes or Hedgehogs: What Is the Best Balance for Research?, Miroslav Svitek, Olga Kosheleva, Shahnaz Shahbazova, and Vladik Kreinovich

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Freedom of Will, Physics, and Human Intelligence: An Idea, Miroslav Svitek, Vladik Kreinovich, and Nguyen Hoang Phuong

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Commonsense "And"-Operations, Javier Tellez, Wenbo Xie, and Vladik Kreinovich

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Fuzzy Techniques, Laplace Indeterminacy Principle, and Maximum Entropy Approach Explain Lindy Effect and Help Avoid Meaningless Infinities in Physics, Julio C. Urenda, Sean R. Aguilar, Olga Kosheleva, and Vladik Kreinovich

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Why Kappa Regression?, Julio C. Urenda, Orsolya Csiszár, József Dombi, György Eigner, Olga Kosheleva, and Vladik Kreinovich

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Why Homogeneous Membranes Lead to Optimal Water Desalination: A Possible Explanation, Julio Urenda, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Randomized Tax Deadlines Can Help Economy, Julio C. Urenda and Olga Kosheleva

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Dimension Compactification Naturally Follows from First Principles, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich

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Tents of Israel Revisited: Audio Privacy, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich

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What Is the Uncertainty of the Result of Data Processing: Fuzzy Analogue of the Central Limit Theorem, Julio C. Urenda, Olga Kosheleva, Shahnaz Shahbazova, and Vladik Kreinovich

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Why Rectified Linear Activation Functions? Why Max-Pooling? A Possible Explanation, Julio C. Urenda and Vladik Kreinovich

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Mexican Folk Arithmetic Algorithm Makes Perfect Sense, Julio C. Urenda, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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Localized Learning: A Possible Alternative to Current Deep Learning Techniques, Javier Viana, Kelly Cohen, Anca Ralescu, Stephan Ralescu, and Vladik Kreinovich

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Extension to Multidimensional Problems of a Fuzzy-based Explainable & Noise-Resilient Algorithm, Javier Viana, Stephan Ralescu, Kelly Cohen, Anca Ralescu, and Vladik Kreinovich

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Why Cauchy Membership Functions: Efficiency, Javier Viana, Stephan Ralescu, Kelly Cohen, Anca Ralescu, and Vladik Kreinovich

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Why Ovals in Eliciting Intervals?, Joshua Zamora and Vladik Kreinovich

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Fuzzy Logic Leads to a More Adequate Way of Processing Likert-Scale Values: Case Study of Burnout, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich

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How to Estimate Time Needed for Software Migration, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich

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Why Moving Fast and Breaking Things Makes Sense?, Francisco Zapata, Eric Smith, and Vladik Kreinovich

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Why Normalized Difference Vegetation Index (NDVI)?, Francisco Zapata, Eric Smith, Vladik Kreinovich, and Nguyen Hoang Phuong

Technical Reports from 2020

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Should Fighting Corruption Always Be One of the Main Pre-Requisites for Economic Help?, Sean R. Aguilar and Vladik Kreinovich

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Why Quadratic Log-Log Dependence Is Ubiquitous And What Next, Sean R. Aguilar, Vladik Kreinovich, and Uyen Pham

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Why Quantiles Are a Good Description of Volatility in Economics: A Pedagogical Explanation, Sean R. Aguilar, Vladik Kreinovich, and Uyen Pham

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How Can Econometrics Help Fight the COVID'19 Pandemic?, Kevin Alvarez and Vladik Kreinovich

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Towards Fast and Understandable Computations: Which "And"- and "Or"-Operations Can Be Represented by the Fastest (i.e., 1-Layer) Neural Networks? Which Activations Functions Allow Such Representations?, Kevin Alvarez, Julio Urenda, Orsoly Csiszár, Gábor Csiszár, József Dombi, György Eigner, and Vladik Kreinovich

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Why Class-D Audio Amplifiers Work Well: A Theoretical Explanation, Kevin Alvarez, Julio Urenda, and Vladik Kreinovich

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Why It Is Sufficient to Have Real-Valued Amplitudes in Quantum Computing, Isaac Bautista, Vladik Kreinovich, Olga Kosheleva, and Nguyen Hoang Phuong

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Fusion of Probabilistic Knowledge as Foundation for Sliced-Normal Approach, Michael Beer, Olga Kosheleva, and Vladik Kreinovich