Technical Reports from 2022
Why Deep Neural Networks: Yet Another Explanation, Ricardo Lozano, Ivan Montoya Sanchez, and Vladik Kreinovich
Dielectric Barrier Discharge (DBD) Thrusters -- Aerospace Engines of the Future: Invariance-Based Analysis, Alexis Lupo and Vladik Kreinovich
An Argument in Favor of Piecewise-Constant Membership Functions, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Data Processing under Fuzzy Uncertainty: Towards More Accurate Algorithms, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Standard Interval Computation Algorithm Is Not Inclusion-Monotonic: Examples, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Epistemic vs. Aleatory: Case of Interval Uncertainty, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich
Which Interval-Valued Alternatives Are Possibly Optimal If We Use Hurwicz Criterion, Marina Tuyako Mizukoshi, Weldon Lodwick, Martine Ceberio, and Vladik Kreinovich
Data Processing under Fuzzy Uncertainty: Towards More Efficient Algorithm, Hung T. Nguyen, Olga Kosheleva, and Vladik Kreinovich
Why Self-Esteem Helps to Solve Problems: An Algorithmic Explanation, Oscar Ortiz, Henry Salgado, Olga Kosheleva, and Vladik Kreinovich
Monotonic Bit-Invariant Permutation-Invariant Metrics on the Set of All Infinite Binary Sequences, Irina Padilla and Vladik Kreinovich
Shall We Use Logical Approach or More Traditional Mamdani Approach in Fuzzy Control: Pragmatic Analysis, R. Noah Padilla, Olga Kosheleva, and Vladik Kreinovich
Fair Bankruptcy Solutions Under Interval Uncertainty, Uyen Pham, Olga Kosheleva, and Vladik Kreinovich
Spiral Arms Around a Star: Geometric Explanation, Juan L. Puebla and Vladik Kreinovich
Why Immunodepressive Drugs Often Make People Happier, Joshua Ramos, Dario Vasquez, Ruth Trejo, and Vladik Kreinovich
How to Solve the Apportionment Paradox, Christopher Reyes and Vladik Kreinovich
Economy-Related Emotional Attitudes Towards Other People: How Can We Explain Them?, Christopher Reyes, Vladik Kreinovich, and Chon Van Le
Need for Optimal Distributed Measurement of Cumulative Quantities Explains the Ubiquity of Absolute and Relative Error Components, Hector A. Reyes, Aaron D. Brown, Jeffrey Escamilla, Ethan D. Kish, and Vladik Kreinovich
Graph Approach to Uncertainty Quantification, Hector A. Reyes, Cliff Joslyn, and Vladik Kreinovich
Over-Measurement Paradox: Suspension of Thermonuclear Research Center and Need to Update Standards, Hector Reyes, Saeid Tizpaz-Niari, and Vladik Kreinovich
Computing the Range of a Function-of-Few-Linear-Combinations Under Linear Constraints: A Feasible Algorithm, Salvador Robles, Martine Ceberio, and Vladik Kreinovich
How to Get the Most Accurate Measurement-Based Estimates, Salvador Robles, Martine Ceberio, and Vladik Kreinovich
Invariance-Based Approach Explains Empirical Formulas from Pavement Engineering to Deep Learning, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich
Why Physical Power Laws Usually Have Rational Exponents, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich
How the Pavement Strength Changes With Time: AI Ideas Help to Explain Semi-Empirical Formulas, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
How to Estimate The Present Serviceability Rating of a Road Segment: Explanation of an Empirical Formula, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
How Viscosity of An Asphalt Binder Depends on Temperature: Theoretical Explanation of an Empirical Dependence, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
Physical Meaning Often Leads to Natural Derivations in Elementary Mathematics: On the Examples of Solving Quadratic and Cubic Equations, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Towards Better Ways to Compute the Overall Grade for a Class, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Why Some Theoretically Possible Representations of Natural Numbers Were Historically Used and Some Were Not: An Algorithm-Based Explanation, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Education in the Era of Google, Wikipedia, and Deep Learning: Are We Humans Still Needed and If Yes for What?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
Freedom of Will, Non-Uniqueness of Cauchy Problem, Fractal Processes, Renormalization, Phase Transitions, and Stealth Aircraft, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
How to Combine Expert Estimates? How to Estimate Probability in the Intersection of Two Populations?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
In the Absence of Information, the Only Reasonable Negotiation Scheme Is Offering a Certain Percentage of the Original Request: A Proof, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
What About Generic "And"- and "Or"-Operations: from Levels of Certainty (Philosophical-Physical-Mathematical) to a Natural Interpretation of Quantum-Like Negative Degrees of Certainty, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
Why Five Stages of Solar Activity, Why Five Stages of Grief, Why Seven Plus Minus Two: A General Geometric Explanation, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
How Can the Opposite to a True Theory Be Also True? A Similar Talmudic Discussion Helps Make This Famous Bohr's Statement Logically Consistent, Miroslav Svitek and Vladik Kreinovich
Why Ideas First Appear in Informal Form? Why It Is Very Difficult to Know Yourself? Fuzzy-Based Explanation, Miroslav Svitek and Vladik Kreinovich
Why Color Optical Computing, Victor L. Timchenko, Yury P. Kondratenko, and Vladik Kreinovich
How to Detect (and Analyze) Independent Subsystems of a Black-Box (or Grey-Box) System, Saeid Tizpaz-Niari, Olga Kosheleva, and Vladik Kreinovich
Why 1/(1+d) Is an Effective Distance-Based Similarity Measure: Two Explanations, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich
Why FLASH Radiotherapy Is Efficient: A Possible Explanation, Julio Urenda, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Why Menzerath's Law?, Julio Urenda and Vladik Kreinovich
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
How to Select a Representative Sample for a Family of Functions?, Leobardo Valera, Martine Ceberio, and Vladik Kreinovich
What Is the Most Adequate Fuzzy Methodology?, Noah Velasco, Olga Kosheleva, and Vladik Kreinovich
Dialogs Re-enacted Across Languages, Nigel Ward, Jonathan E. Avila, and Emilia Rivas
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
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
Systems Approach Explains Why Low Heart Rate Variability Is Correlated with Depression (and Suicidal Thoughts), Francisco Zapata, Eric Smith, and Vladik Kreinovich
Unexpected Economic Consequence of Cloud Computing: A Boost to Algorithmic Creativity, Francisco Zapata, Eric Smith, and Vladik Kreinovich