Technical Reports from 2018
Need to Combine Interval and Probabilistic Uncertainty: What Needs to Be Computed, What Can Be Computed, What Can Be Feasibly Computed, and How Physics Can Help, Songsak Sriboonchitta, Thach N. Nguyen, Vladik Kreinovich, and Hung T. Nguyen
A New Kalman Filter Model for Nonlinear Systems Based on Ellipsoidal Bounding, Ligang Sun, Hamza Alkhatib, Boris Kargoll, Vladik Kreinovich, and Ingo Neumann
Why Quantum (Wave Probability) Models Are a Good Description of Many Non-Quantum Complex Systems, and How to Go Beyond Quantum Models, Miroslav Svitek, Olga Kosheleva, Vladik Kreinovich, and Thach N. Nguyen
Summation of Divergent Infinite Series: How Natural Are the Current Tricks, Mourat Tchoshanov, Olga Kosheleva, and Vladik Kreinovich
Computing with Words -- When Results Do Not Depend on the Selection of the Membership Function, Christopher W. Tovar, Carlos Cervantes, Mario Delgado, Stephanie Figueroa, Caleb Gillis, Daniel Gomez, Andres Llausas, Julio C. Lopez Molinar, Mariana Rogriguez, Alexander Wieczkowski, Francisco Zapata, and Vladik Kreinovich
Decision Making Under Interval Uncertainty: Beyond Hurwicz Pessimism-Optimism Criterion, Tran Anh Tuan, Vladik Kreinovich, and Thach N. Nguyen
Why Learning Has Aha-Moments and Why We Should Also Reward Effort, Not Just Results, Gerargo Uranga, Vladik Kreinovich, and Olga Kosheleva
What Is the Economically Optimal Way to Guarantee Interval Bounds on Control?, Alfredo Vaccaro, Martine Ceberio, and Vladik Kreinovich
Why Burgers Equation: Symmetry-Based Approach, Leobardo Valera, Martine Ceberio, and Vladik Kreinovich
Psychological Behavior of English Learners Utilizing a Cognitive Tutor in an Online Pre-Calculus, Julian Viera Jr., Olga Kosheleva, and Vladik Kreinovich
Experimental Determination of Mechanical Properties Is, In General, NP-Hard -- Unless We Measure Everything, Yan Wang, Oscar Galindo, Michael Baca, Jake Lasley, and Vladik Kreinovich
How to Explain Empirical Distribution of Software Defects by Severity, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
How to Select the Best Paper: Towards Justification (and Possible Enhancement) of Current Semi-Heuristic Procedures, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
Why Under Stress Positive Reinforcement Is More Effective? Why Optimists Study Better? Why People Become Restless? Simple Utility-Based Explanations, Francisco Zapata, Olga Kosheleva, and Vladik Kreinovich
How to Gauge Repair Risk?, Francisco Zapata and Vladik Kreinovich
Working on One Part at a Time is the Best Strategy for Software Production A Proof, Francisco Zapata, Maliheh Zargaran, and Vladik Kreinovich
Technical Reports from 2017
Fuzzy Systems Are Universal Approximators for Random Dependencies: A Simplified Proof, Mahdokhat Afravi and Vladik Kreinovich
From Fuzzy Universal Approximation to Fuzzy Universal Representation: It All Depends on the Continuum Hypothesis, Mahdokhat Michelle Afravi and Vladik Kreinovich
Normalization-Invariant Fuzzy Logic Operations Explain Empirical Success of Student Distributions in Describing Measurement Uncertainty, Hamza Alkhatib, Boris Kargoll, Ingo Neumann, and Vladik Kreinovich
Fuzzy Sets As Strongly Consistent Random Sets, Kittawit Autchariyapanitkul, Hung T. Nguyen, and Vladik Kreinovich
How Accurate Are Expert Estimations of Correlation?, Michael Beer, Zitong Gong, Francisco Alejandro Diaz De La O, and Vladik Kreinovich
What If We Do Not Know Correlations?, Michael Beer, Zitong Gong, Ingo Neumann, Songsak Sriboonchitta, and Vladik Kreinovich
How to Store Tensors in Computer Memory: An Observation, Martine Ceberio and Vladik Kreinovich
Sudoku App: Model-Driven Development of Android Apps Using OCL?, Yoonsik Cheon and Aditi Barua
Impacts of Java Language Features on the Memory Performances of Android Apps, Yoonsik Cheon and Adriana Escobar De La Torre
Need for a Large-N Array (and Wavelets and Differences) to Determine the Assumption-free 3-D Earth Model, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich
Soft Computing Approach to Detecting Discontinuities: Seismic Analysis and Beyond, Solymar Ayala Cortez, Aaron A. Velasco, and Vladik Kreinovich
Why Sparse?, Thongchai Dumrongpokaphan, Olga Kosheleva, Vladik Kreinovich, and Aleksandra Belina
Kuznets Curve: A Simple Dynamical System-Based Explanation, Thongchai Dumrongpokaphan and Vladik Kreinovich
Markowitz Portfolio Theory Helps Decrease Medicines' Side Effect and Speed Up Machine Learning, Thongchai Dumrongpokaphan and Vladik Kreinovich
Maximum Entropy as a Feasible Way to Describe Joint Distributions in Expert Systems, Thongchai Dumrongpokaphan, Vladik Kreinovich, and Hung T. Nguyen
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