Technical Reports from 2021
Why neural networks in the first place: a theoretical explanation, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, and Vladik Kreinovich
Why Rectified Linear Neurons: Two Convexity-Related Explanations, Jonatan Contreras, Martine Ceberio, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Why Dilated Convolutional Neural Networks: A Proof of Their Optimality, Jonatan Contreras, Martine Ceberio, and Vladik Kreinovich
"Negative" Results -- When the Measured Quantity Is Outside the Sensor's Range -- Can Help Data Processing, Jonatan Contreras, Francisco Zapata, Olga Kosheleva, Vladik Kreinovich, and Martine Ceberio
Why rectified linear neurons: a possible interval-based explanation, Jonathan Contreras, Martine Ceberio, and Vladik Kreinovich
Why Daubechies wavelets are so successful, Solymar Ayala Cortez, Laxman Bokati, Aaron Velasco, and Vladik Kreinovich
Why, in Deep Learning, Non-Smooth Activation Function Works Better Than Smooth Ones, Daniel Cruz, Richard Godoy, and Vladik Kreinovich
How Accurate Are Fuzzy Control Recommendations: Interval-Valued Case, Juan Carlos Figueroa-Garcia and Vladik Kreinovich
Why Geological Regions?, Daniela Flores, Olga Kosheleva, and Vladik Kreinovich
Fourier Transform and Other Quadratic Problems under Interval Uncertainty, Oscar Galindo, Christopher Ibarra, and Vladik Kreinovich
While, In General, Uncertainty Quantification (UQ) Is NP-Hard, Many Practical UQ Problems Can Be Made Feasible, Anderson Gray, Scott Ferson, Olga Kosheleva, and Vladik Kreinovich
Why Residual Neural Networks, Sofia Holguin and Vladik Kreinovich
How to Extend Interval Arithmetic So That Inverse and Division Are Always Defined, Tahea Hossain, Jonathan Rivera, Yash Sharma, and Vladik Kreinovich
Decision Making Under Uncertainty: Cases When We Only Know an Upper Bound or a Lower Bound, Toshiki Kamio, Gavin Baechle, and Vladik Kreinovich
Is It Fair That Advanced Workers Get Paid Disproportionally More: Economic Analysis, Olga Kosheleva and Sean R. Aguilar
Blessings, God, Sacrifices: Possible Rational Explanations of Biblical Ideas, Olga Kosheleva and Vladik Kreinovich
Can Ideas Behind Ancient Egyptian Fractions Speed up Modern Computers?, Olga Kosheleva and Vladik Kreinovich
Each Realistic Continuous Functional Dependence Implies a Relation Between Some Variables: A Theoretical Explanation of a Fuzzy-Related Empirical Phenomenon, Olga Kosheleva and Vladik Kreinovich
Five Revolutionary Ideas in the 1950s-70s Science: 90th Birthday of Revolt Pimenov, Olga Kosheleva and Vladik Kreinovich
Godel's Proof of Existence of God Revisited, Olga Kosheleva and Vladik Kreinovich
Green Computing: Three Examples of How Non-Trivial Mathematical Analysis Can Help, Olga Kosheleva and Vladik Kreinovich
How General Is Fuzzy Decision Making?, Olga Kosheleva and Vladik Kreinovich
How Multi-View Techniques Can Help In Processing Uncertainty, Olga Kosheleva and Vladik Kreinovich
How to Gauge Reliability of a Binary Classification Result: A Simple Case, Olga Kosheleva and Vladik Kreinovich
How to Teach Advanced Highly Motivated Students: Teaching Strategy of Iosif Yakovlevich Verebeichik, Olga Kosheleva and Vladik Kreinovich
Lev Landau's Marital Advice Explained, Olga Kosheleva and Vladik Kreinovich
Limit Theorems as Blessing of Dimensionality: Neural-Oriented Overview, Olga Kosheleva and Vladik Kreinovich
Low-Complexity Zonotopes Can Enhance Uncertainty Quantification (UQ), Olga Kosheleva and Vladik Kreinovich
Selfish Gene Theory Explains Oedipus Complex, Olga Kosheleva and Vladik Kreinovich
What Is 1/0 from the Practical Viewpoint: A Pedagogical Note, Olga Kosheleva and Vladik Kreinovich
What Is the Logic Behind Cistercian Numbers?, Olga Kosheleva and Vladik Kreinovich
Why Chomsky Normal Form: A Pedagogical Note, Olga Kosheleva and Vladik Kreinovich
Why ∞ Is a Reasonable Symbol for Infinity, Olga Kosheleva and Vladik Kreinovich
Why Question-Based Reasoning Leads to Constructive Approach to Knowledge, Olga Kosheleva and Vladik Kreinovich
Why Romans Sometimes Wrote 8 as VIII, And Sometimes as IIX: A Possible Explanation, Olga Kosheleva and Vladik Kreinovich
Why Semi-Supervised Learning Makes Sense: A Pedagogical Note, Olga Kosheleva and Vladik Kreinovich
Why T-Duality: A Simple Explanation, Olga Kosheleva and Vladik Kreinovich
How to Work? How to Study? Shall We Cram for the Exams? And How Is This Related to Life on Earth?, Olga Kosheleva, Vladik Kreinovich, and Nguyen Hoang Phuong
Revolt Pimenov Taught Us How to Be Scientists, Vladik Kreinovich
Distributions on an Interval as a Scale-Invariant Combination of Scale-Invariant Functions: Theoretical Explanation of Empirical Marchenko-Pastur-Type Distributions, Vladik Kreinovich, Kevin Alvarez, and Chon Van Le
Many Known Quantum Algorithms Are Optimal: Symmetry-Based Proofs, Vladik Kreinovich, Oscar Galindo, and Olga Kosheleva
Fuzzy Logic Beyond Traditional "And"- and "Or"-Operations, Vladik Kreinovich and Olga Kosheleva
Fuzzy Logic Beyond Traditional "And"-Operations, Vladik Kreinovich and Olga Kosheleva
How to Simulate If We Only Have Partial Information But We Want Reliable Results?, Vladik Kreinovich and Olga Kosheleva
Why Quantum Techniques Are a Good First Approximation to Economic Phenomena, and What Next, Vladik Kreinovich and Olga Kosheleva
Zadeh's Vision, Modern Physics, and the Future of Computing, Vladik Kreinovich and Olga Kosheleva
Order Relations Are Ubiquitously Fundamental: Alexandrov(-Zeeman) Theorem Extended from Space-Time Physics to Logical Reasoning and Decision Making, Vladik Kreinovich, Olga Kosheleva, Laxman Bokati, and Laura Berrout
Kinematic Metric Spaces Under Interval Uncertainty: Towards an Adequate Definition, Vladik Kreinovich, Olga Kosheleva, and Victor Selivanov
How To Guarantee Fairness Of Grading Without Sacrificing Privacy?, Vladik Kreinovich, Olga Kosheleva, and Christian Servin
Predicting (Economic) Trends: Why Signature Method in Machine Learning, Vladik Kreinovich and Chon Van Le