Technical Reports from 2019
Global Independence, Possible Local Dependence: Towards More Realistic Error Estimates for Indirect Measurements, Vladik Kreinovich
In Alsina et al. Derivation of Min-Max Fuzzy Logic from Distributivity, All Conditions Are Necessary: A Proof, Vladik Kreinovich, Ildar Batyrshin, and Nailya Kubysheva
How to Use Quantum Computing to Check Which Inputs Are Relevant: A Proof That Deutsch-Jozsa Algorithm Is, In Effect, the Only Possibility, Vladik Kreinovich, Martine Ceberio, and Ricardo Alvarez
Deep Learning (Partly) Demystified, Vladik Kreinovich and Olga Kosheleva
Geometric Reformulation of Learning Models Can Help Prepare Better Teachers, Vladik Kreinovich and Olga Kosheleva
Joule's 19th Century Energy Conservation Meta-Law and the 20th Century Physics (Quantum Mechanics and General Relativity): 21st Century Analysis, Vladik Kreinovich and Olga Kosheleva
Optimization under Uncertainty Explains Empirical Success of Deep Learning Heuristics, Vladik Kreinovich and Olga Kosheleva
Why h-Index, Vladik Kreinovich, Olga Kosheleva, and Nguyen Hoang Phuong
How to Reconcile Maximum Entropy Approach with Intuition: e.g., Should Interval Uncertainty Be Represented by a Uniform Distribution, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta
Why Fuzzy Partition in F-Transform?, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta
Use of Symmetries in Economics: An Overview, Vladik Kreinovich, Olga Kosheleva, Nguyen N. Thach, and Nguyen Duc Trung
How to Make a Decision Based on the Minimum Bayes Factor (MBF): Explanation of the Jeffreys Scale, Vladik Kreinovich, Olga Kosheleva, and Nguyen Duc Trung
Computing Without Computing: DNA Version, Vladik Kreinovich and Julio C. Urenda
Softmax and McFadden's Discrete Choice under Interval (and Other) Uncertainty, Bartłomiej Jacek Kubica, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich
Perfect Reproducibility Is Not Always Algorithmically Possible: A Pedagogical Observation, Jake Lasley, Salamah Salamah, and Vladik Kreinovich
How to Gauge a Combination of Uncertainties of Different Type: General Foundations, Ingo Neumann, Vladik Kreinovich, and Thach N. Nguyen
Calibration Helps Reduce Disagreement Between Different Pavement Condition Indices, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich
How to Estimate Pavement Roughness: Beyond International Roughness Index, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich
Towards a Theoretical Explanation of How Pavement Condition Index Deteriorates over Time, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich
Relationship Between Measurement Results and Expert Estimates of Cumulative Quantities, on the Example of Pavement Roughness, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich
Accuracy of Data Fusion: Interval (and Fuzzy) Case, Christian Servin, Olga Kosheleva, and Vladik Kreinovich
How to Fuse Expert Knowledge: Not Always "And" but a Fuzzy Combination of "And" and "Or", Christian Servin, Olga Kosheleva, and Vladik Kreinovich
How to Define "and"- and "or"-Operations for Intuitionistic and Picture Fuzzy Sets, Christian Servin, Reynaldo Martinez, Peter Hanson, Leonel Lopez, and Vladik Kreinovich
Hierarchial Multiclass Classification Works Better Than Direct Classification: An Explanation of the Empirical Fact, Julio Urenda, Nancy Avila, Nelly Gordillo, and Vladik Kreinovich
Which Fourier Components Are Most Informative: General Idea and Case Studies, Julio Urenda, Nancy Avila, Nelly Gordillo, and Vladik Kreinovich
How to Make Decisions: Consider Multiple Scenarios, Consult Experts, Play Down Emotions -- Quantitative Explanation of Commonsense Ideas, Julio Urenda, Francis Biney, Marco Cardiel, Perla De La O, Anthony DesArmier, Noa Dodson, Taylor Dodson, Sebastian Gonzalez, Laura Hinojos, Jorge Huerta, Ryan Jones, Oliver Martinez, Carlos A. Saldaña Matamoros, Manuel Muñoz, and Vladik Kreinovich
Why Experts Sometimes Do Not Perform Well in Unusual Situations, Julio C. Urenda and Vladik Kreinovich
Why The Obvious Necessary Condition is (Often) Also Sufficient (TONCAS): An Explanation of the Phenomenon, Julio C. Urenda and Vladik Kreinovich
Why Top Experts Are Paid So Much: Economics-Based Explanation, Julio C. Urenda and Vladik Kreinovich
How User Ratings Change with Time: Theoretical Explanation of an Empirical Formula, Julio Urenda, Manuel Hernandez, Natalia Villanueva Rosales, and Vladik Kreinovich
Finitely Generated Sets of Fuzzy Values: If "And" Is Exact, Then "Or" Is Almost Always Approximate, And Vice Versa -- A Theorem, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Fuzzy Logic Explains the Usual Choice of Logical Operations in 2-Valued Logic, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Geometric Explanation for an Empirical Formula Describing Our Galaxy's Warping, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Why Derivative: Invariance-Based Explanation, Julio Urenda, Olga Kosheleva, and Vladik Kreinovich
Geometric Aspects of Wound Healing, Julio Urenda and Vladik Kreinovich
In the Absence of Information, 1/n Investment Makes Perfect Sense, Julio Urenda and Vladik Kreinovich
When Revolutions Happen: Algebraic Explanation, Julio Urenda and Vladik Kreinovich
Why a Classification Based on Linear Approximation to Dynamical Systems Often Works Well in Nonlinear Cases, Julio Urenda and Vladik Kreinovich
Why Liquids? A Symmetry-Based Solution to Weisskopf's Challenge, Julio Urenda and Vladik Kreinovich
Derivation of Louisville-Bratu-Gelfand Equation from Shift- or Scale-Invariance, Leobardo Valera, Martine Ceberio, and Vladik Kreinovich
How Earthquake Risk Depends on the Closeness to a Fault: Symmetry-Based Geometric Analysis, Aaron A. Velasco, Solymar Ayala Cortez, Olga Kosheleva, and Vladik Kreinovich
Planning for a Corpus of Continuous Ratings of Spoken Dialog Quality, Nigel G. Ward
How to Apply Software Engineering Testing Methodologies to Education, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
How We Can Explain Simple Empirical Memory Rules, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Logarithms Are Not Infinity: A Rational Physics-Related Explanation of the Mysterious Statement by Lev Landau, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Why A Is Usually 90, B Is 80, etc.: A Possible Explanation, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Technical Reports from 2018
Towards Foundations of Interval and Fuzzy Uncertainty, Mahdokhat Afravi, Kehinde Akinola, Fredrick Ayivor, Ramon Bustamante, Erick Duarte, Ahnaf Farhan, Martha Garcia, Govinda K. C., Jeffrey Hope, Olga Kosheleva, Vladik Kreinovich, Jose Perez, Francisco Rodriguez, Christian Servin, Eric Torres, and Jesus Tovar
Qualitative conditioning in an interval-based possibilistic setting, Salem Benferhat, Vladik Kreinovich, and Amelie Levray
Italian Folk Multiplication Algorithm Is Indeed Better: It Is More Parallelizable, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich