DEMARCATE: Density-based MRI Clustering for Assessing Tumor Heterogeneity in Cancer

S. Banerjee , S. Narang , K. Bharath , J. Martinez
Ohio State University. Translational Data Analytics @ Ohio State

2016
SUPPLEMENTARY MATERIAL FOR STATISTICAL TESTS FOR LARGE TREE-STRUCTURED DATA

KARTHIK BHARATH , PRABHANJAN KAMBADUR , DIPAK K DEY , ARVIND RAO

Invariance and identifiability issues for word embeddings

Karthik Bharath , Simon Preston , Rachel Carrington
neural information processing systems 32 15114 -15123

2
2019
Mutually disjoint, maximally commuting set of physical observables for optimum state determination

Swarnamala Sirsi , Karthik Bharath , H S Smitha Rao
Physica Scripta 94 ( 10) 105212

1
2019
Measure of polymer performance based on correlated physical parameters

Rudrappa Somashekar , Karthik Bharath , Hanumanthappa Somashekarappa , Guttikatte Kariappa Gowtham
Journal of Applied Polymer Science 138 ( 29) 50705

2021
Joint quasiprobability distribution on the measurement outcomes of MUB-driven operators

Swarnamala Sirsi , Karthik Bharath , H.S. Smitha Rao
Physics Letters A 403 127378

2021
Functional data analysis techniques for the study of structural parameters in polymer composites

Thejas Gopal Krishne Urs , Karthik Bharath , Sangappa Yallappa , Somashekar Rudrappa
Journal of Applied Crystallography 49 ( 2) 594 -605

6
2016
Statistical Tests for Large Tree-Structured Data

Karthik Bharath , Prabhanjan Kambadur , Dipak. K. Dey , Arvind Rao
Journal of the American Statistical Association 112 ( 520) 1733 -1743

5
2017
A Geometric Approach to Visualization of Variability in Functional Data

Weiyi Xie , Sebastian Kurtek , Karthik Bharath , Ying Sun
Journal of the American Statistical Association 112 ( 519) 979 -993

19
2017
Distribution on Warp Maps for Alignment of Open and Closed Curves

Karthik Bharath , Sebastian Kurtek
Journal of the American Statistical Association 115 ( 531) 1378 -1392

4
2020
Radiologic image‐based statistical shape analysis of brain tumours

Karthik Bharath , Sebastian Kurtek , Arvind Rao , Veerabhadran Baladandayuthapani
Journal of the Royal Statistical Society: Series C (Applied Statistics) 67 ( 5) 1357 -1378

13
2018
Analysis of shape data: From landmarks to elastic curves

Karthik Bharath , Sebastian Kurtek
Wiley Interdisciplinary Reviews: Computational Statistics 12 ( 3)

2020
Geometric multiaxial representation of N-qubit mixed symmetric separable states

Suma SP , Swarnamala Sirsi , Subramanya Hegde , Karthik Bharath
Physical Review A 96 ( 2) 022328

3
2017
POVM construction: A simple recipe with applications to symmetric states

Swarnamala Sirsi , Karthik Bharath , S. P. Shilpashree , H. S. Smitha Rao
International Journal of Quantum Information 15 ( 06) 1750042

2017
Tree-based Methods for Characterizing Tumor Density Heterogeneity

Katherine Shoemaker , Brian P. Hobbs , Karthik Bharath , Chaan S. Ng
Biocomputing 2018 23 ( 212669) 216 -227

2
2018
Test to distinguish a Brownian motion from a Brownian bridge using Polya tree process

Karthik Bharath , Dipak K. Dey
Statistics & Probability Letters 81 ( 1) 140 -145

4
2011
A note on density estimation for binary sequences

Karthik Bharath
Statistics & Probability Letters 83 ( 12) 2735 -2742

2013
On a clustering criterion for dependent observations

Karthik Bharath
Journal of Statistical Planning and Inference 147 84 -94

2014
Asymptotics of the Empirical Cross-over Function

Karthik Bharath , Vladimir Pozdnyakov , Dipak K. Dey
Annals of the Institute of Statistical Mathematics 66 ( 2) 369 -382

1
2014