EquivTester Samples In Equivalence Testing Algorithm

Authors: (1) Diptarka Chakraborty, National University of Singapore, Singapore (2) Sourav Chakraborty, Indian Statistical Institute, Kolkata; (3) Gunjan Kumar, National University of Singapore, Singapore; (4) Kuldeep S. Meel, University of Toronto, Toronto. Table of Links Abstract and 1 Introduction 2 Notations and Preliminaries 3 Related Work 4 An Efficient One-Round Adaptive Algorithm and 4.1 High-Level Overview 4.2 Algorithm Description 4.3 Technical Analysis 5 Conclusion 6 Acknowledgements and References A Missing Proofs B An O(log log n)-query fully adaptive algorithm 4.2 Algorithm Description Our algorithm, EquivTester, takes as input, two distributions P and Q, and a parameter ε > 0. It returns Accept if P = Q and Reject if their total variation distance dT V (P, Q) is greater than ε, both with at least 2/3 probability. This paper is available on arxiv under CC BY-NC-SA 4.0 DEED license. Authors: (1) Diptarka Chakraborty, National University of Singapore, Singapore (2) Sourav Chakraborty, Indian Statistical Institute, Kolkata; (3) Gunjan Kumar, National University of Singapore, Singapore; (4) Kuldeep S. Meel, University of Toronto, Toronto. Authors: Authors: (1) Diptarka Chakraborty, National University of Singapore, Singapore (2) Sourav Chakraborty, Indian Statistical Institute, Kolkata; (3) Gunjan Kumar, National University of Singapore, Singapore; (4) Kuldeep S. Meel, University of Toronto, Toronto. Table of Links Abstract and 1 Introduction Abstract and 1 Introduction 2 Notations and Preliminaries 2 Notations and Preliminaries 3 Related Work 3 Related Work 4 An Efficient One-Round Adaptive Algorithm and 4.1 High-Level Overview 4 An Efficient One-Round Adaptive Algorithm and 4.1 High-Level Overview 4.2 Algorithm Description 4.2 Algorithm Description 4.3 Technical Analysis 4.3 Technical Analysis 5 Conclusion 5 Conclusion 6 Acknowledgements and References 6 Acknowledgements and References A Missing Proofs A Missing Proofs B An O(log log n)-query fully adaptive algorithm B An O(log log n)-query fully adaptive algorithm 4.2 Algorithm Description Our algorithm, EquivTester, takes as input, two distributions P and Q, and a parameter ε > 0. It returns Accept if P = Q and Reject if their total variation distance dT V (P, Q) is greater than ε, both with at least 2/3 probability. This paper is available on arxiv under CC BY-NC-SA 4.0 DEED license. This paper is available on arxiv under CC BY-NC-SA 4.0 DEED license. available on arxiv