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Technical Reports from 2022

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Why Menzerath's Law?, Julio Urenda and Vladik Kreinovich

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Need to Combine Interval and Probabilistic Uncertainty: What Needs to Be Computed, What Can Be Computed, What Can Be Feasibly Computed, and How Physics Can Help, Julio Urenda, Vladik Kreinovich, and Olga Kosheleva

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How to Select a Representative Sample for a Family of Functions?, Leobardo Valera, Martine Ceberio, and Vladik Kreinovich

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What Is the Most Adequate Fuzzy Methodology?, Noah Velasco, Olga Kosheleva, and Vladik Kreinovich

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Dialogs Re-enacted Across Languages, Nigel Ward, Jonathan E. Avila, and Emilia Rivas

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Non-Localized Physical Processes Can Help Speed up Computations, Be It Hidden Variables in Quantum Physics or Non-Localized Energy in General Relativity, Michael Zakharevich, Olga Kosheleva, and Vladik Kreinovich

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Seemingly Counter-Intuitive Features of Good-to-Great Companies Actually Make Perfect Sense: Possible Algorithmics-Based Explanations, Francisco Zapata, Eric Smith, Olga Kosheleva, and Vladik Kreinovich

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Systems Approach Explains Why Low Heart Rate Variability Is Correlated with Depression (and Suicidal Thoughts), Francisco Zapata, Eric Smith, and Vladik Kreinovich

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Unexpected Economic Consequence of Cloud Computing: A Boost to Algorithmic Creativity, Francisco Zapata, Eric Smith, and Vladik Kreinovich

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Unreachable Statements Are Inevitable In Software Testing: Theoretical Explanation, Francisco Zapata, Eric Smith, and Vladik Kreinovich

Technical Reports from 2021

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What Is Wrong with Micromanagement: Economic View, Sean R. Aguilar and Olga Kosheleva

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When to Stop Computing and Start Investing, Sean R. Aguilar and Olga Kosheleva

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Why Base-20, Base-40, and Base-60 Number Systems?, Sean R. Aguilar, Olga Kosheleva, and Vladik Kreinovich

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Why Too Much Interaction Between Different Parts of the Brain Leads To Unhappiness, Ricardo Alvarez, Yamel Hernandez, and Vladik Kreinovich

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Why Decimal System? Why Communities With More Than 150 Folks Tend to Split? New Consequences of the Seven Plus Minus Two Law, Leobardo Orea Amador and Vladik Kreinovich

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What Is a Reasonable Way to Make Predictions?, Leonardo Orea Amador and Vladik Kreinovich

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Why People Overestimate Small Probabilities?, David Amparan and Vladik Kreinovich

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The UTEP Corpus of Dissatisfaction in Spoken Dialog, Jonathan E. Avila, Nigel Ward, and Aaron Alarcon

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Negations of Probability Distributions: A Survey, Ildar Z. Baryrshin, Nailya I. Kubysheva, Venera R. Bayrasheva, Olga Kosheleva, and Vladik Kreinovich

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Uncertainty: Ideas Behind Neural Networks Lead Us Beyond KL-Decomposition and Interval Fields, Michael Beer, Olga Kosheleva, and Vladik Kreinovich

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How to Select Typical Objects, Mariana Benitez, Jeffrey Weidner, and Vladik Kreinovich

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Correcting Interval-Valued Expert Estimates: Empirical Formulas Explained, Laura A. Berrout Ramos, Vladik Kreinovich, and Kittawit Autchariyapanitkul

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How Much For a Set: General Case of Decision Making Under Set-Valued Uncertainty, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich

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Why Do We Need Two Doses of Covid-19 Vaccine: A Qualitative Explanation, Laxman Bokati, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich

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Is Our World Becoming Less Quantum?, Lidice Castro and Vladik Kreinovich

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How to Best Write Research Papers: Basic English? Sophisticated English?, Martine Ceberio, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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Why Fuzzy Techniques in Explainable AI? Which Fuzzy Techniques in Explainable AI?, Kelly Cohen, Laxman Bokati, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Why Gradient Descent -- Not the Best Optimization Technique -- Works Best in Neural Networks: Qualitative Explanation, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Why neural networks in the first place: a theoretical explanation, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich

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Why Rectified Linear Neurons: Two Convexity-Related Explanations, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong

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Why Dilated Convolutional Neural Networks: A Proof of Their Optimality, Jonatan Contreras, Martine Ceberio, and Vladik Kreinovich

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"Negative" Results -- When the Measured Quantity Is Outside the Sensor's Range -- Can Help Data Processing, Jonatan Contreras, Francisco Zapata, Olga Kosheleva, Vladik Kreinovich, and Martine Ceberio

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Why rectified linear neurons: a possible interval-based explanation, Jonathan Contreras, Martine Ceberio, and Vladik Kreinovich

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Why Daubechies wavelets are so successful, Solymar Ayala Cortez, Laxman Bokati, Aaron Velasco, and Vladik Kreinovich

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Why, in Deep Learning, Non-Smooth Activation Function Works Better Than Smooth Ones, Daniel Cruz, Richard Godoy, and Vladik Kreinovich

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How Accurate Are Fuzzy Control Recommendations: Interval-Valued Case, Juan Carlos Figueroa-Garcia and Vladik Kreinovich

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Why Geological Regions?, Daniela Flores, Olga Kosheleva, and Vladik Kreinovich

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Fourier Transform and Other Quadratic Problems under Interval Uncertainty, Oscar Galindo, Christopher Ibarra, and Vladik Kreinovich

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While, In General, Uncertainty Quantification (UQ) Is NP-Hard, Many Practical UQ Problems Can Be Made Feasible, Anderson Gray, Scott Ferson, Olga Kosheleva, and Vladik Kreinovich

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Why Residual Neural Networks, Sofia Holguin and Vladik Kreinovich

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How to Extend Interval Arithmetic So That Inverse and Division Are Always Defined, Tahea Hossain, Jonathan Rivera, Yash Sharma, and Vladik Kreinovich

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Decision Making Under Uncertainty: Cases When We Only Know an Upper Bound or a Lower Bound, Toshiki Kamio, Gavin Baechle, and Vladik Kreinovich

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Is It Fair That Advanced Workers Get Paid Disproportionally More: Economic Analysis, Olga Kosheleva and Sean R. Aguilar

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Blessings, God, Sacrifices: Possible Rational Explanations of Biblical Ideas, Olga Kosheleva and Vladik Kreinovich

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Can Ideas Behind Ancient Egyptian Fractions Speed up Modern Computers?, Olga Kosheleva and Vladik Kreinovich

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Each Realistic Continuous Functional Dependence Implies a Relation Between Some Variables: A Theoretical Explanation of a Fuzzy-Related Empirical Phenomenon, Olga Kosheleva and Vladik Kreinovich

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Five Revolutionary Ideas in the 1950s-70s Science: 90th Birthday of Revolt Pimenov, Olga Kosheleva and Vladik Kreinovich

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Godel's Proof of Existence of God Revisited, Olga Kosheleva and Vladik Kreinovich

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Green Computing: Three Examples of How Non-Trivial Mathematical Analysis Can Help, Olga Kosheleva and Vladik Kreinovich

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How General Is Fuzzy Decision Making?, Olga Kosheleva and Vladik Kreinovich