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Technical Reports from 2019

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Global Independence, Possible Local Dependence: Towards More Realistic Error Estimates for Indirect Measurements, Vladik Kreinovich

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The heresy of unheard-of simplicity: Comment on "The unreasonable effectiveness of small neural ensembles in high-dimensional brain" by A. N. Gorban, V. A. Makarov, and I. Y. Tyukin, Vladik Kreinovich

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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

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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

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Deep Learning (Partly) Demystified, Vladik Kreinovich and Olga Kosheleva

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Geometric Reformulation of Learning Models Can Help Prepare Better Teachers, Vladik Kreinovich and Olga Kosheleva

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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

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Optimization under Uncertainty Explains Empirical Success of Deep Learning Heuristics, Vladik Kreinovich and Olga Kosheleva

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Why h-Index, Vladik Kreinovich, Olga Kosheleva, and Nguyen Hoang Phuong

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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

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Why Fuzzy Partition in F-Transform?, Vladik Kreinovich, Olga Kosheleva, and Songsak Sriboonchitta

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Use of Symmetries in Economics: An Overview, Vladik Kreinovich, Olga Kosheleva, Nguyen N. Thach, and Nguyen Duc Trung

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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

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Computing Without Computing: DNA Version, Vladik Kreinovich and Julio C. Urenda

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Softmax and McFadden's Discrete Choice under Interval (and Other) Uncertainty, Bartłomiej Jacek Kubica, Laxman Bokati, Olga Kosheleva, and Vladik Kreinovich

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Perfect Reproducibility Is Not Always Algorithmically Possible: A Pedagogical Observation, Jake Lasley, Salamah Salamah, and Vladik Kreinovich

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How to Gauge a Combination of Uncertainties of Different Type: General Foundations, Ingo Neumann, Vladik Kreinovich, and Thach N. Nguyen

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Calibration Helps Reduce Disagreement Between Different Pavement Condition Indices, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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How to Estimate Pavement Roughness: Beyond International Roughness Index, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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Towards a Theoretical Explanation of How Pavement Condition Index Deteriorates over Time, Edgar Daniel Rodriguez Velasquez, Carlos M. Chang Albitres, and Vladik Kreinovich

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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

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Accuracy of Data Fusion: Interval (and Fuzzy) Case, Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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How to Fuse Expert Knowledge: Not Always "And" but a Fuzzy Combination of "And" and "Or", Christian Servin, Olga Kosheleva, and Vladik Kreinovich

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How to Define "and"- and "or"-Operations for Intuitionistic and Picture Fuzzy Sets, Christian Servin, Reynaldo Martinez, Peter Hanson, Leonel Lopez, and Vladik Kreinovich

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Hierarchial Multiclass Classification Works Better Than Direct Classification: An Explanation of the Empirical Fact, Julio Urenda, Nancy Avila, Nelly Gordillo, and Vladik Kreinovich