Technical Reports from 2022
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
Unreachable Statements Are Inevitable In Software Testing: Theoretical Explanation, Francisco Zapata, Eric Smith, and Vladik Kreinovich
Technical Reports from 2021
What Is Wrong with Micromanagement: Economic View, Sean R. Aguilar and Olga Kosheleva
When to Stop Computing and Start Investing, Sean R. Aguilar and Olga Kosheleva
Why Base-20, Base-40, and Base-60 Number Systems?, Sean R. Aguilar, Olga Kosheleva, and Vladik Kreinovich
Why Too Much Interaction Between Different Parts of the Brain Leads To Unhappiness, Ricardo Alvarez, Yamel Hernandez, and Vladik Kreinovich
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
What Is a Reasonable Way to Make Predictions?, Leonardo Orea Amador and Vladik Kreinovich
Why People Overestimate Small Probabilities?, David Amparan and Vladik Kreinovich
The UTEP Corpus of Dissatisfaction in Spoken Dialog, Jonathan E. Avila, Nigel Ward, and Aaron Alarcon
Negations of Probability Distributions: A Survey, Ildar Z. Baryrshin, Nailya I. Kubysheva, Venera R. Bayrasheva, Olga Kosheleva, and Vladik Kreinovich
Uncertainty: Ideas Behind Neural Networks Lead Us Beyond KL-Decomposition and Interval Fields, Michael Beer, Olga Kosheleva, and Vladik Kreinovich
How to Select Typical Objects, Mariana Benitez, Jeffrey Weidner, and Vladik Kreinovich
Correcting Interval-Valued Expert Estimates: Empirical Formulas Explained, Laura A. Berrout Ramos, Vladik Kreinovich, and Kittawit Autchariyapanitkul
How Much For a Set: General Case of Decision Making Under Set-Valued Uncertainty, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
Why Do We Need Two Doses of Covid-19 Vaccine: A Qualitative Explanation, Laxman Bokati, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Is Our World Becoming Less Quantum?, Lidice Castro and Vladik Kreinovich
How to Best Write Research Papers: Basic English? Sophisticated English?, Martine Ceberio, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Why Fuzzy Techniques in Explainable AI? Which Fuzzy Techniques in Explainable AI?, Kelly Cohen, Laxman Bokati, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Why Gradient Descent -- Not the Best Optimization Technique -- Works Best in Neural Networks: Qualitative Explanation, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Why neural networks in the first place: a theoretical explanation, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Why Rectified Linear Neurons: Two Convexity-Related Explanations, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong