Technical Reports from 2017
Practical Need for Algebraic (Equality-Type) Solutions of Interval Equations and for Extended-Zero Solutions, Ludmila Dymova, Pavel Sevastjanov, Andrzej Pownuk, and Vladik Kreinovich
How to Teach Implication, Martha Osegueda Escobar, Olga Kosheleva, and Vladik Kreinovich
Is It Legitimate Statistics or Is It Sexism: Why Discrimination Is Not Rational, Martha Osegueda Escobar, Vladik Kreinovich, and Thach N. Nguyen
Why Rectified Linear Neurons Are Efficient: Symmetry-Based, Complexity-Based, and Fuzzy-Based Explanations, Olac Fuentes, Justin Parra, Elizabeth Y. Anthony, and Vladik Kreinovich
Plans Are Worthless but Planning Is Everything: A Theoretical Explanation of Eisenhower's Observation, Angel F. Garcia Contreras, Martine Ceberio, and Vladik Kreinovich
Why Convex Optimization Is Ubiquitous and Why Pessimism Is Widely Spread, Angel F. Garcia Contreras, Martine Ceberio, and Vladik Kreinovich
How to Use Absolute-Error-Minimizing Software to Minimize Relative Error: Practitioner's Guide, Afshin Gholamy and Vladik Kreinovich
What Is the Optimal Bin Size of a Histogram: An Informal Description, Afshin Gholamy and Vladik Kreinovich
How to Best Apply Neural Networks in Geosciences: Towards Optimal "Averaging" in Dropout Training, Afshin Gholamy, Justin Parra, Vladik Kreinovich, Olac Fuentes, and Elizabeth Y. Anthony
A Short Note on Pitch, Interval, and Melody Matching Assessment, Eric Hanson, Hannah Baslee, and Eric Freudenthal
A consultation system for Cold - Heat diagnosis according to Vietnamese Traditional medicine combining positive and negative knowledge, Tran Thi Hue, Nguyen Hoang Phuong, and Vladik Kreinovich
Why Taylor Models And Modified Taylor Models are Empirically Successful: A Symmetry-Based Explanation, Mioara Joldes, Christoph Lauter, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Possible Explanation of Empirical Values of the Matern Smoothness Parameter for the Temporal Covariance of GPS Measurements, Gaël Kermarrec, Steffen Schön, and Vladik Kreinovich
Attraction-Repulsion Forces Between Biological Cells: A Theoretical Explanation of Empirical Formulas, Olga Kosheleva, Martine Ceberio, and Vladik Kreinovich
A Natural Feasible Algorithm That Checks Satisfiability of 2-CNF Formulas and, if the Formulas Is Satisfiable, Finds a Satisfying Vector, Olga Kosheleva and Vladik Kreinovich
Contradictions Do Not Necessarily Make a Theory Inconsistent, Olga Kosheleva and Vladik Kreinovich
Derivation of Gross-Pitaevskii Version of Nonlinear Schroedinger Equation from Scale Invariance, Olga Kosheleva and Vladik Kreinovich
Experimentally Observed Dark Matter Confinement Clarifies a Discrepancy in Estimating the Universe's Expansion Speed, Olga Kosheleva and Vladik Kreinovich
F-Transform As a First Step Towards a General Approach to Data Processing and Data Fusion, Olga Kosheleva and Vladik Kreinovich
Negotiations vs. Confrontation: A Possible Explanation of the Empirical Results, Olga Kosheleva and Vladik Kreinovich
Physical Induction Explains Why Over-Realistic Animation Sometimes Feels Creepy, Olga Kosheleva and Vladik Kreinovich
Propagation of Probabilistic Uncertainty: The Simplest Case (A Brief Pedagogical Introduction), Olga Kosheleva and Vladik Kreinovich
The Onsager Conjecture: A Pedagogical Explanation, Olga Kosheleva and Vladik Kreinovich
Why Deep Learning Methods Use KL Divergence Instead of Least Squares: A Possible Pedagogical Explanation, Olga Kosheleva and Vladik Kreinovich
Why Triangular Membership Functions Are Often Efficient in F-Transform Applications: Relation to Interval Uncertainty\\ and Haar Wavelets, Olga Kosheleva and Vladik Kreinovich
Why West-to-East Jetlag Is More Severe: A Simple Qualitative Explanation, Olga Kosheleva and Vladik Kreinovich
Simplest Polynomial for Which Naive (Straightforward) Interval Computations Cannot Be Exact, Olga Kosheleva, Vladik Kreinovich, and Songsak Sriboonchitta
Almost All Diophantine Sets Are Undecidable, Vladik Kreinovich
Towards Predictive Statistics: A Pedagogical Explanation, Vladik Kreinovich
Why Some Physicists Are Excited About the Undecidability of the Spectral Gap Problem and Why Should We, Vladik Kreinovich
How to Estimate Statistical Characteristics Based on a Sample: Nonparametric Maximum Likelihood Approach Leads to Sample Mean, Sample Variance, etc., Vladik Kreinovich and Thongchai Dumrongpokaphan
How to Gauge Accuracy of Processing Big Data: Teaching Machine Learning Techniques to Gauge Their Own Accuracy, Vladik Kreinovich, Thongchai Dumrongpokaphan, Hung T. Nguyen, and Olga Kosheleva
Beyond Traditional Applications of Fuzzy Techniques: Main Idea and Case Studies, Vladik Kreinovich, Olga Kosheleva, and Thongchai Dumrongpokaphan
Probabilistic and More General Uncertainty-Based (e.g., Fuzzy) Approaches to Crisp Clustering Explain the Empirical Success of the K-Sets Algorithm, Vladik Kreinovich, Olga Kosheleva, Shahnaz Shahbazova, and Songsak Sriboonchitta
Z-Numbers: How They Describe Student Confidence and How They Can Explain (and Improve) Laplacian and Schroedinger Eigenmap Dimension Reduction in Data Analysis, Vladik Kreinovich, Olga Kosheleva, and Michael Zakharevich
Efficient Parameter-Estimating Algorithms for Symmetry-Motivated Models: Econometrics and Beyond, Vladik Kreinovich, Anh H. Ly, Olga Kosheleva, and Songsak Sriboonchitta
Quantum Ideas in Economics Beyond Quantum Econometrics, Vladik Kreinovich, Hung T. Nguyen, and Songsak Sriboonchitta
How Better Are Predictive Models: Analysis on the Practically Important Example of Robust Interval Uncertainty, Vladik Kreinovich, Hung T. Nguyen, Songsak Sriboonchitta, and Olga Kosheleva
Quantitative Justification for the Gravity Model in Economics, Vladik Kreinovich and Songsak Sriboonchitta
What Decision to Make In a Conflict Situation under Interval Uncertainty: Efficient Algorithms for the Hurwzcz Approach, Bartłomiej Jacek Kubica, Andrzej Pownuk, and Vladik Kreinovich
In System Identification, Interval (and Fuzzy) Estimates Can Lead to Much Better Accuracy than the Traditional Statistical Ones: General Algorithm and Case Study, Sergey I. Kumkov, Vladik Kreinovich, and Andrzej Pownuk
Entropy as a Measure of Average Loss of Privacy, Luc Longpre, Vladik Kreinovich, and Thongchai Dumrongpokaphan
An Ancient Bankruptcy Solution Makes Economic Sense, Anh H. Ly, Michael Zakharevich, Olga Kosheleva, and Vladik Kreinovich
Probabilistic Graphical Models Follow Directly From Maximum Entropy, Anh H. Ly, Francisco Zapata, Olac Fuentes, and Vladik Kreinovich
Does the Universe Really Expand Faster than the Speed of Light: Kinematic Analysis Based on Special Relativity and Copernican Principle, Reynaldo Martinez and Vladik Kreinovich
How to Gauge the Accuracy of Fuzzy Control Recommendations: A Simple Idea, Patricia Melin, Oscar Castillo, Andrzej Pownuk, Olga Kosheleva, and Vladik Kreinovich
Why Decimal System and Binary System Are the Most Widely Used: A Possible Explanation, Gerardo Muela
It Is Possible to Determine Exact Fuzzy Values Based on an Ordering of Interval-Valued or Set-Valued Fuzzy Degrees, Gerardo Muela, Olga Kosheleva, and Vladik Kreinovich
Uncertain Information Fusion and Knowledge Integration: How to Take Reliability into Account, Hung T. Nguyen, Kittawit Autchariyapanitkul, Olga Kosheleva, and Vladik Kreinovich