Technical Reports from 2024
Data Fusion Is More Complex Than Data Processing: A Proof, Robert Alvarez, Salvador Ruiz, Martine Ceberio, and Vladik Kreinovich
Shapley Value under Interval Uncertainty and Partial Information, Kittawit Autchariyapanikul, Olga Kosheleva, and Vladik Kreinovich
Stochastic Dominance: Cases of Interval and P-Box Uncertainty, Kittawit Autchariyapanikul, Olga Kosheleva, and Vladik Kreinovich
Paradox of Causality and Paradoxes of Set Theory, Alondra Baquier, Bradley Beltran, Gabriel Miki-Silva, Olga Kosheleva, and Vladik Kreinovich
How to Make a Neural Network Learn from a Small Number of Examples -- and Learn Fast: An Idea, Chitta Baral and Vladik Kreinovich
How to Check Continuity Based on Approximate Measurement Results, Inese Bula and Vladik Kreinovich
Towards an Optimal Design: What Can We Recommend to Elon Musk?, Martine Ceberio, Olga Kosheleva, Vladik Kreinovich, and Hung T. Nguyen
Number Representation With Varying Number of Bits, Anuradha Choudhury, Md Ahsanul Haque, Saeefa Rubaiyet Nowmi, Ahmed Ann Noor Ryen, Sabrina Saika, and Vladik Kreinovich
Why Linear and Sigmoid Last Layers Work Better in Classification, Lehel Dénes-Fazakas, Lásló Szilágyi, and Vladik Kreinovich
How to Make a Decision under Interval Uncertainty If We Do Not Know the Utility Function, Jeffrey Escamilla and Vladik Kreinovich
What If the Resulting Interval Is Too Wide: From a Heuristic Fuzzy-Technique Idea to a Mathematically Justified Approach, Marc Fina and Vladik Kreinovich
Training Neural Networks on Interval Data: Unexpected Results and Their Explanation, Edwin Tomy George, Vladik Kreinovich, Christoph Lauter, Martine Ceberio, and Luc Jaulin
Towards a More Subtle (and Hopefully More Adequate) Fuzzy "And"-Operation: Normalization-Invariant Multi-Input Aggregation Operators, Yusuf Güven and Vladik Kreinovich
For Discrete-Time Linear Dynamical Systems under Interval Uncertainty, Predicting Two Moments Ahead Is NP-Hard, Luc Jaulin, Olga Kosheleva, and Vladik Kreinovich
Every Feasibly Computable Reals-to-Reals Function Is Feasibly Uniformly Continuous, Olga Kosheleva and Vladik Kreinovich
For 2 x n Cases, Proportional Fitting Problem Reduces to a Single Equation, Olga Kosheleva and Vladik Kreinovich
From Normal Distribution to What? How to Best Describe Distributions with Known Skewness, Olga Kosheleva and Vladik Kreinovich
How to Make AI More Reliable, Olga Kosheleva and Vladik Kreinovich
How to Propagate Uncertainty via AI Algorithms, Olga Kosheleva and Vladik Kreinovich
If Subsequent Results Are Too Easy to Obtain, the Proof Most Probably Has Errors: Explanation of the Empirical Observation, Olga Kosheleva and Vladik Kreinovich
What to Do If an Inflexible Tolerance Problem Has No Solutions: Probabilistic Justification of Piegat's Semi-Heuristic Idea, Olga Kosheleva and Vladik Kreinovich
Why Bernstein Polynomials: Yet Another Explanation, Olga Kosheleva and Vladik Kreinovich
Why Empirical Membership Functions Are Well-Approximated by Piecewise Quadratic Functions: Theoretical Explanation for Empirical Formulas of Novak's Fuzzy Natural Logic, Olga Kosheleva and Vladik Kreinovich
Why Fully Consistent Quantum Field Theories Require that the Space-Time Be at Least 10-Dimensional: A Commonsense Field-Based Explanation, Olga Kosheleva and Vladik Kreinovich
Fuzzy Ideas Explain Fechner Law and Help Detect Relation Between Objects in Video, Olga Kosheleva, Vladik Kreinovich, and Ahnaf Farhan
Two Is Enough, but Three (or More) Is Better: in AI and Beyond, Olga Kosheleva, Vladik Kreinovich, Victor L. Timchenko, and Yury P. Kondratenko
McFadden's Discrete Choice and Softmax under Interval (and Other) Uncertainty: Revisited, Bartlomiej Jacek Kubica, Olga Kosheleva, and Vladik Kreinovich
Is Alaska Negative-Tax Arrangement Fair? Almost: Mathematical Analysis, Chon Van Le and Vladik Kreinovich
There Is Still Plenty of Room at the Bottom: Feynman's Vision of Quantum Computing 65 Years Later, Alexis Lupo, Vladik Kreinovich, Victor L. Timchenko, and Yuriy P. Kondratenko
How to Fairly Allocate Safety Benefits of Self-Driving Cars, Fernando Munoz, Christian Servin, and Vladik Kreinovich
Why Kolmolgorov-Arnold Networks (KAN) Work So Well: A Qualitative Explanation, Hung T. Nguyen, Vladik Kreinovich, and Olga Kosheleva
Why Pavement Cracks Are Mostly Longitudinal, Sometimes Transversal, and Rarely of Other Directions: A Geometric Explanation, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich
How Can We Explain Empirical Formulas for Shrinkage Cracking of Cement-Stabilized Pavement Layers, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
How Difficult Is It to Comprehend a Program That Has Significant Repetitions: Fuzzy-Related Explanations of Empirical Results, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Update From Aristotle to Newton, from Sets to Fuzzy Sets, and from Sigmoid to ReLU: What Do All These Transitions Have in Common?, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Why Is Grade Distribution Often Bimodal? Why Individualized Teaching Adds Two Sigmas to the Average Grade? And How Are These Facts Related?, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
Shall We Place More Advanced Students in a Separate Class?, Shahnaz Shahbazova, Olga Kosheleva, and Vladik Kreinovich
Why Two Fish Follow Each Other but Three Fish Form a School: A Symmetry-Based Explanation, Shahnaz Shahbazova, Olga Kosheleva, and Vladik Kreinovich
Why Decisions Based on the Results of Worst-Case, Most Realistic, and Best-Case Scenarios Work Well?, Miroslav Svitek, Olga Kosheleva, Vladik Kreinovich, and Chon Van Le
A Full Description of All Commutative Associative Polynomial Operations on Probabilities, Miroslav Svitek, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
To Which Interdisciplinary Research Collaborations Should We Pay More Attention?, Miroslav Svitek, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Why Magenta Is Not a Real Color, and How It Is Related to Fuzzy Control and Quantum Computing, Victor L. Timchenko, Yuriy P. Kondratenko, Olga Kosheleva, and Vladik Kreinovich
Why Green Wavelength Is Closer to Blue Than to Red and How It Is Related to Computations: Information-Based Explanation, Victor L. Timchenko, Yury P. Kondratenko, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
How to Gauge Inequality and Fairness: A Complete Description of All Decomposable Versions of Theil Index, Saeid Tizpaz-Niari, Olga Kosheleva, and Vladik Kreinovich
Three Applications of Geometric Reasoning: Why Metastasis Is Mostly Caused by Elongated Cancer Cells? How Body Shape Affects Curiosity? Why Ring Fractures in Ice?, Julio C. Urenda, Olga Kosheleva, and Vladik Kreinovich
Why Angles Between Galactic Center Filaments and Galactic Plane Follow a Bimodal Distribution: A Symmetry-Based Explanation, Julio C. Urenda and Vladik Kreinovich
Why Seismicity in Ireland Is Low: A Possible Geometric Explanation, Julio C. Urenda, Aaron Velasco, and Vladik Kreinovich
Topics in the Study of the Pragmatic Functions of Phonetic Reduction in Dialog, Nigel G. Ward and Carlos A. Ortega
Somewhat Surprisingly, (Subjective) Fuzzy Technique Can Help to Better Combine Measurement Results and Expert Estimates into a Model with Guaranteed Accuracy: Digital Twins and Beyond, Niklas Winnewisser, Michael Beer, Olga Kosheleva, and Vladik Kreinovich
Using Known Relation Between Quantities to Make Measurements More Accurate and More Reliable, Niklas Winnewisser, Felix Mett, Michael Beer, Olga Kosheleva, and Vladik Kreinovich