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$50 USD / hour
Flag of INDIA
bangalore, india
$50 USD / hour
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Joined September 30, 2012
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Deepak A.

@daralumallige

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$50 USD / hour
Flag of INDIA
bangalore, india
$50 USD / hour
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Ph.D. in Applied Mathematics

Applied mathematician (PhD) with extensive experience in Machine Learning, Neural Networks and Deep Learning. Well versed in Matlab, Python and R.

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Experience

Professor

Ramaiah University of Applied Sciences
Jul 2014 - Present
I am a Mathematician with 17 years of teaching experience and well versed in applied mathematics. I have Ph.D. in Mathematics from a USA university. I have published a few peer reviewed journal papers. I am also well versed in Machine learning, Neural Network and Deep learning using Python.

Education

Ph.D in Applied Mathematics

Wichita State University, United States 2005 - 2010
(5 years)

M.S. in Mathematics

Wichita State University, United States 2003 - 2005
(2 years)

B.E. in Electronics and Communication

Bangalore University, India 1997 - 2001
(4 years)

Qualifications

PG Diploma in Artificial Intelligence & Machine Learning

IIIT-B
2019
I year PG diploma in the field of Artificial Intelligence & Machine Learning from UpGrad and IIIT-B

Publications

On increased stability in the continuation of the Helmholtz equation

Inverse Problems
In this paper, we give analytical and numerical evidence of increasing stability in the Cauchy problem for the Helmholtz equation in the whole domain when frequency is growing. This effect depends upon the convexity properties of the surface where the Cauchy data are given. Proofs use previously obtained estimates in subdomains and the theory of Sobolev spaces. The theory is illustrated by three-dimensional numerical examples.

Increasing stability of the continuation for the Maxwell’s system

Inverse Problems
n this paper, we obtain bounds showing increasing stability of the continuation for solutions of the stationary Maxwell system when the wave number k is growing. We reduce this system to a new system with the Helmholtz operator in the principal part and use hyperbolic energy and Carleman estimates with k-independent constants in the Cauchy problem for this new system. We consider the continuation onto the convex hull of the surface with the Cauchy data.

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