Rao's Entropy and Diversity Measures

Arni S.R. Srinivasa Rao works in pure mathematics, applied mathematics, probability, artificialintelligence and applications in medicine. He developed the concept of “Exact Deep Learning Machines”, which can provide designs for accurate predictions without any uncertainty. He had edited these handbooks jointly with renowned statistician Dr. C. R. Rao. He is a Professor at the Medical College of Georgia, Augusta University, U.S.A., and the Director of the Laboratory for Theory and Mathematical Modeling housed within the Division of Infectious Diseases, Medical College of Georgia, Augusta, U.S.A. Previously, Dr. Rao conducted research and/or taught at the Mathematical Institute, University of Oxford (2003, 2005-07), Indian Statistical Institute (1998-2002, 2006-2012), Indian Institute of Science (2002-04), University of Guelph (2004-06). Until 2012, Dr. Rao held a permanent faculty position at the Indian Statistical Institute. He has won the Heiwa-Nakajima Award (Japan) and Fast Track Young Scientists Fellowship in Mathematical Sciences (DST, New Delhi). Dr. Rao also proved a major theorem in stationary population models, such as, Rao’s Partition Theorem inPopulations, Rao-Carey Theorem in stationary populations, and developed mathematical modeling-based policies for the spread of diseases like HIV, H5N1, COVID-19, etc. He developed a new set of network models for understanding avian pathogen biology on grid graphs (these were called chicken walk models), AI Models for COVID-19, and received wide coverage in the science media. Dr. Rao is an elected Fellow of ISMMACS (Indian Society for Mathematical Modeling and Computer Simulation), and ISPS (Indian Society for Probability and Statistics). He developed concepts such as “Multilevel Contours within a bundle of Complex Number Planes”.

• 1. Rao’s quadratic diversity as a general model for functional alpha and beta diversity decomposition: An overview2. An information-geometric framework for mapping maximum potential biodiversity3. Finding the Right Diversity Metric: Using Spectral Analysis to Navigate Evolutionarily Informed Measures4. Weighted Measures of Biodiversity with Applications to Island Biogeography5. TBD6. Phylogeny-based metrics of biodiversity: theory and practice7. Geometric variability and proximity function in distance-based multivariate analysis8. Unifying spatially-explicit Rao’s entropy, spatial concentration, and accumulation curves: the different aspects of local biodiversity9. Rao’s quadratic entropy as a tool for describing multilingualism10. TBD11. Correspondences between ecological and population-genetic diversity measures