Technical Reports from 2024
From Quantifying and Propagating Uncertainty to Quantifying and Propagating Both Uncertainty and Reliability: Practice-Motivated Approach to Measurement Planning and Data Processing, Niklas R. Winnewisser, Vladik Kreinovich, and Olga Kosheleva
Technical Reports from 2023
How People Make Decisions Based on Prior Experience: Formulas of Instance-Based Learning Theory (ILBT) Follow from Scale Invariance, Palvi Aggarwal, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
How to Deal with Inconsistent Intervals: Utility-Based Approach Can Overcome the Limitations of the Purely Probability-Based Approach, Kittawit Autchariyapanitkul, Tomoe Entani, Olga Kosheleva, and Vladik Kreinovich
How to Estimate Unknown Unknowns: From Cosmic Light to Election Polls, Talha Azfar, Vignesh Ponraj, Vladik Kreinovich, and Nguyen Hoang Phuong
Why Sigmoid Transformation Helps Incorporate Logic Into Deep Learning: A Theoretical Explanation, Chitta Baral and Vladik Kreinovich
Every ReLU-Based Neural Network Can Be Described by a System of Takagi-Sugeno Fuzzy Rules: A Theorem, Barnabas Bede, Olga Kosheleva, and Vladik Kreinovich
Integrity First, Service Before Self, and Excellence: Core Values of US Air Force Naturally Follow from Decision Theory, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Just-in-Accuracy: Mobile Approach to Uncertainty, Martine Ceberio, Christoph Q. Lauter, and Vladik Kreinovich
How to Make Decision Under Interval Uncertainty: Description of All Reasonable Partial Orders on the Set of All Intervals, Tiago M. Costa, Olga Kosheleva, and Vladik Kreinovich
Selecting the Most Adequate Fuzzy Operation for Explainable AI: Empirical Fact and Its Possible Theoretical Explanation, Orsolya Csiszar, Gábor Csiszar, Martine Ceberio, and Vladik Kreinovich
Why Fuzzy Control Is Often More Robust (and Smoother): A Theoretical Explanation, Orsolya Csiszar, Gábor Csiszar, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich
We Can Always Reduce a Non-Linear Dynamical System to Linear -- at Least Locally -- But Does It Help?, Orsolya Csiszar, Gábor Csiszar, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Which Activation Function Works Best for Training Artificial Pancreas: Empirical Fact and Its Theoretical Explanation, Lehel Dénes-Fazakas, Lásló Szilágyi, György Eigner, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich
Why Bump Reward Function Works Well In Training Insulin Delivery Systems, Lehel Dénes-Fazakas, Lásló Szilágyi, Gyorgy Eigner, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Algebraic Product Is the Only "And-Like"-Operation for Which Normalized Intersection Is Associative: A Proof, Thierry Denœx and Vladik Kreinovich
Conflict Situations Are Inevitable When There Are Many Participants: A Proof Based on the Analysis of Aumann-Shapley Value, Sofia Holguin and Vladik Kreinovich
Fuzzy Mathematics under Non-Minimal "And"-Operations (t-Norms): Equivalence leads to Metric, Order Leads to Kinematic Metric, Topology Leads to Area or Volume, Purbita Jana, Olga Kosheleva, and Vladik Kreinovich
Causality: Hypergraphs, Matter of Degree, Foundations of Cosmology, Cliff Joslyn, Andres Ortiz-Muñoz, Edgar Daniel Rodriguez Velasquez, Olga Kosheleva, and Vladik Kreinovich
SUCCESS (Studying Underlying Characteristics of Computing and Engineering Student Success) Survey: Non-Cognitive and Affective Profiles in Engineering and Computing Students at UTEP (2018-2022), Sanga Kim, Christian Teran Lopez, Andres Segura, and Gabriel Miki
How to Efficiently Propagate P-Box Uncertainty, Olga Kosheleva and Vladik Kreinovich
If We Add Axiom of Choice to Constructive Analysis, We Get Classical Arithmetic: An Exercise in Reverse Constructive Mathematics, Olga Kosheleva and Vladik Kreinovich
Industry-Academia Collaboration: Main Challenges and What Can We Do, Olga Kosheleva and Vladik Kreinovich
Smooth Non-Additive Integrals and Measures and Their Potential Applications, Olga Kosheleva and Vladik Kreinovich
What Was More Frequently Used -- "And" or "Or": Based on Analysis of European Languages, Olga Kosheleva and Vladik Kreinovich
When Is a Single "And"-Condition Enough?, Olga Kosheleva and Vladik Kreinovich
Wormholes, Superfast Computations, and Selivanov's Theorem, Olga Kosheleva and Vladik Kreinovich
How to Select A Model If We Know Probabilities with Interval Uncertainty, Vladik Kreinovich
From Type-2 Fuzzy to Type-2 Intervals and Type-2 Probabilities, Vladik Kreinovich, Olga Kosheleva, and Luc Longpré
Which Random-Set Representation of a Fuzzy Set Is the Simplest?, Vladik Kreinovich, Olga Kosheleva, and Hung T. Nguyen
Uncertainty Quantification for Results of AI-Based Data Processing: Towards More Feasible Algorithms, Christoph Q. Lauter, Martine Ceberio, Vladik Kreinovich, and Olga Kosheleva
Approximate Stochastic Dominance Revisited, Chon Van Le, Olga Kosheleva, and Vladik Kreinovich
Why Softmax? Because It Is the Only Consistent Approach to Probability-Based Classification, Anatole Lokshin and Vladik Kreinovich
Complex Numbers Explain Why in Chinese Tradition, 4 Is Bad But 8 Is Good, Luc Longpre, Olga Kosheleva, and Vladik Kreinovich
Designing an Optimal Medicine Cocktail Is NP-Hard, Luc Longpre and Vladik Kreinovich
Towards Decision Making Under Interval Uncertainty, Juan A. Lopez and Vladik Kreinovich
Which Fuzzy Implications Operations Are Polynomial? A Theorem Proves That This Can Be Determined by a Finite Set of Inequalities, Sebastia Massanet, Olga Kosheleva, and Vladik Kreinovich
Why Fractional Fuzzy, Mehran Mazandarani, Olga Kosheleva, and Vladik Kreinovich
How to Make Machine Learning Financial Recommendations More Fair: Theoretical Explanation, Tho M. Nguyen, Saeid Tizpaz-Niari, and Vladik Kreinovich
Linear Regression under Partial Information, Tho M. Nguyen, Saeid Tizpaz-Niari, and Vladik Kreinovich
Local-Global Support for Earth Sciences: Economic Analysis, Uyen Hoang Pham, Aaron Velasco, and Vladik Kreinovich
Foundations of Neural Networks Explain the Empirical Success of the "Surrogate" Approach to Ordinal Regression -- and Recommend What Next, Salvador Robles, Martine Ceberio, and Vladik Kreinovich
Why Resilient Modulus Is Proportional to the Square Root of Unconfined Compressive Strength (UCS): A Qualitative Explanation, Edgar Daniel Rodriguez Velasquez and Vladik Kreinovich
Why Inverse Layers in Pavement? Why Zipper Fracking? Why Interleaving in Education? A General Explanation, Edgar Daniel Rodriguez Velasquez, Aaron Velasco, Olga Kosheleva, and Vladik Kreinovich
Everything Is a Matter of Degree: The Main Idea Behind Fuzzy Logic Is Useful in Geosciences and in Authorship, Christian Servin, Aaron Velasco, Edgar Daniel Rodriguez Velasquez, and Vladik Kreinovich
If Everything is a Matter of Degree, Why Do Crisp Techniques Often Work Better?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
Is Fully Explainable AI Even Possible: Fuzzy-Based Analysis, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
The World Is Cognizable: An Argument Based on Hoermander's Theorem, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
What Do Goedel's Theorem and Arrow's Theorem Have in Common: A Possible Answer to Arrow's Question, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
When Is It Beneficial to Merge Two Companies? When Is it Beneficial to Start a Research Collaboration?, Miroslav Svitek, Olga Kosheleva, and Vladik Kreinovich
How to Combine Probabilistic and Fuzzy Uncertainty: Theoretical Explanation of Clustering-Related Empirical Result, Lázló Szilágyi, Olga Kosheleva, and Vladik Kreinovich