Technical Reports from 2021
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
Why Rectified Linear Activation Functions? Why Max-Pooling? A Possible Explanation, Julio C. Urenda and Vladik Kreinovich
Mexican Folk Arithmetic Algorithm Makes Perfect Sense, Julio C. Urenda, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Localized Learning: A Possible Alternative to Current Deep Learning Techniques, Javier Viana, Kelly Cohen, Anca Ralescu, Stephan Ralescu, and Vladik Kreinovich
Extension to Multidimensional Problems of a Fuzzy-based Explainable & Noise-Resilient Algorithm, Javier Viana, Stephan Ralescu, Kelly Cohen, Anca Ralescu, and Vladik Kreinovich
Why Cauchy Membership Functions: Efficiency, Javier Viana, Stephan Ralescu, Kelly Cohen, Anca Ralescu, and Vladik Kreinovich
Why Ovals in Eliciting Intervals?, Joshua Zamora and Vladik Kreinovich
Fuzzy Logic Leads to a More Adequate Way of Processing Likert-Scale Values: Case Study of Burnout, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
How to Estimate Time Needed for Software Migration, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Why Moving Fast and Breaking Things Makes Sense?, Francisco Zapata, Eric Smith, and Vladik Kreinovich
Why Normalized Difference Vegetation Index (NDVI)?, Francisco Zapata, Eric Smith, Vladik Kreinovich, and Nguyen Hoang Phuong
Technical Reports from 2020
Should Fighting Corruption Always Be One of the Main Pre-Requisites for Economic Help?, Sean R. Aguilar and Vladik Kreinovich
Why Quadratic Log-Log Dependence Is Ubiquitous And What Next, Sean R. Aguilar, Vladik Kreinovich, and Uyen Pham
Why Quantiles Are a Good Description of Volatility in Economics: A Pedagogical Explanation, Sean R. Aguilar, Vladik Kreinovich, and Uyen Pham
How Can Econometrics Help Fight the COVID'19 Pandemic?, Kevin Alvarez and Vladik Kreinovich
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
Why Class-D Audio Amplifiers Work Well: A Theoretical Explanation, Kevin Alvarez, Julio Urenda, and Vladik Kreinovich
Why It Is Sufficient to Have Real-Valued Amplitudes in Quantum Computing, Isaac Bautista, Vladik Kreinovich, Olga Kosheleva, and Nguyen Hoang Phuong
Fusion of Probabilistic Knowledge as Foundation for Sliced-Normal Approach, Michael Beer, Olga Kosheleva, and Vladik Kreinovich
It Is Important to Take All Available Information into Account When Making a Decision: Case of the Two Envelopes Problem, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
Predictably (Boundedly) Rational: Examples of Seemingly Irrational Behavior Can Be Quantitatively Explained by Bounded Rationality, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
The Similarity Between Earth's and Mars's Core-Mantle Boundary Seems to Be Statistically Significant, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
Why 3D Fragmentation Usually Leads to Cuboids: A Simple Geometric Explanation, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
Why Significant Wave Height And Rogue Waves Are So Defined: A Possible Explanation, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
Economics of Reciprocity and Temptation, Laxman Bokati, Olga Kosheleva, Vladik Kreinovich, and Nguyen Ngoc Thach
How the Proportion of People Who Agree to Perform a Task Depends on the Stimulus: A Theoretical Explanation of the Empirical Formula, Laxman Bokati, Vladik Kreinovich, and Doan Thanh Ha
How to Explain the Anchoring Formula in Behavioral Economics, Laxman Bokati, Vladik Kreinovich, and Chon Van Le
How to Combine (Dis)Utilities of Different Aspects into a Single (Dis)Utility Value, and How This Is Related to Geometric Images of Happiness, Laxman Bokati, Nguyen Hoang Phuong, Olga Kosheleva, and Vladik Kreinovich
Why Immediate Repetition Is Good for Short-Time Learning Results but Bad For Long-Time Learning: Explanation Based on Decision Theory, Laxman Bokati, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Absence of Remotely Triggered Large Earthquakes: A Geometric Explanation, Laxman Bokati, Aaron A. Velasco, and Vladik Kreinovich
Scale-Invariance and Fuzzy Techniques Explain the Empirical Success of Inverse Distance Weighting and of Dual Inverse Distance Weighting in Geosciences, Laxman Bokati, Aaron A. Velasco, and Vladik Kreinovich
Optimal Search under Constraints, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
What If We Use Almost-Linear Functions Instead of Linear Ones as a First Approximation in Interval Computations, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Why Min, Max, Opening, and Closing Stock Prices Are Empirically Most Appropriate for Predictions, and Why Their Linear Combination Provides the Best Estimate for Beta, Somsak Chanaim, Olga Kosheleva, and Vladik Kreinovich
How to Find the Dependence Based on Measurements with Unknown Accuracy: Towards a Theoretical Justification for Midpoint and Convex-Combination Interval Techniques and Their Generalizations, Somsak Chanaim and Vladik Kreinovich
Coding Overhead of Mobile Apps, Yoonsik Cheon
Why Black-Scholes Equations Are Effective Beyond Their Usual Assumptions: Symmetry-Based Explanation, Warattaya Chinnakum and Sean R. Aguilar
Decision Making Under Interval Uncertainty: Towards (Somewhat) More Convincing Justifications for Hurwicz Optimism-Pessimism Approach, Warattaya Chinnakum, Laura Berrout Ramos, Olugbenga Iyiola, and Vladik Kreinovich
Let Us Use Negative Examples in Regression-Type Problems Too, Jonatan Contreras, Francisco Zapata, Olga Kosheleva, Vladik Kreinovich, and Martine Ceberio
When Can We Be Sure that Measurement Results Are Consistent: 1-D Interval Case and Beyond, Hani Dbouk, Steffen Schön, Ingo Neumann, and Vladik Kreinovich
Centroids Beyond Defuzzification, Juan Carlos Figueroa-Garcia, Christian Servin, and Vladik Kreinovich
How to Efficiently Store Intermediate Results in Quantum Computing: Theoretical Explanation of the Current Algorithm, Oscar Galindo, Olga Kosheleva, and Vladik Kreinovich
Why Majority Rule Does Not Work in Quantum Computing: A Pedagogical Explanation, Oscar Galindo, Olga Kosheleva, and Vladik Kreinovich
What Is the Optimal Annealing Schedule in Quantum Annealing, Oscar Galindo and Vladik Kreinovich
Quantum (and More General) Models of Research Collaboration, Oscar Galindo, Miroslav Svitek, and Vladik Kreinovich
Why Mean, Variance, Moments, Correlation, Skewness etc. – Invariance-Based Explanations, Olga Kosheleva, Laxman Bokati, and Vladik Kreinovich
Advice to New Instructors: Systems Approach, Olga Kosheleva and Vladik Kreinovich
A Fully Lexicographic Extension of Min or Max Operation Cannot Be Associative, Olga Kosheleva and Vladik Kreinovich
A "Fuzzy" Like Button Can Decrease Echo Chamber Effect, Olga Kosheleva and Vladik Kreinovich
A Mystery of Human Biological Development -- Can It Be Used to Speed up Computations?, Olga Kosheleva and Vladik Kreinovich