Personal information

Optimization, Statistical Learning, Dynamical systems and control

Biography

As a postdoctoral fellow at the Institute of Mathematical Sciences Chennai, I primarily focused on nonlinear analysis and dynamical systems. As a doctoral student at the Indian Institute of Technology Mandi, I worked on dynamical systems with impulsive effects and their application to control problems and ecological systems.
My independent research program takes both my doctoral and postdoctoral studies one step further to learning system dynamics and control at the interface of optimization, statistical learning, and dynamical system. This often requires conceptual, innovative, and technical understandings that breakthrough along three different dimensions:
1. Optimization: Convex and non-convex optimization, stochastic optimization, transforming geometrical or physical intuition of a minimization problem into optimization algorithm.
2. Statistical learning: Scalable algorithms that leverage a statistical model to improve its decision making and generalization based on a robust learning principle. Further it finds applications in discriminative and generative learning, and high dimensional estimation.
3. Dynamical system and control: Learning dynamical systems from observed data using embedded linear model, generalized linear model and physics informed predictive model, optimization-based Lyapunov stability.

Activities

Employment (5)

Birla Institute of Technology, Mesra: Ranchi, IN

2024-12-13 to present | Assistant Professor (Quantitative Economics and Data Science)
Employment
Source: Self-asserted source
Lakshman Mahto

Indian Institute of Information Technology Dharwad: Hubli-Dharwad, Karnataka, IN

2016-08-08 to 2024-12-12 | Assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Lakshman Mahto

Institute of Mathematical Sciences: Chennai, Tamil Nadu, IN

2015-02-05 to 2016-08-16 | Postdoctoral Fellow (Mathematics)
Employment
Source: Self-asserted source
Lakshman Mahto

Indian Institute of Technology Mandi: Mandi, Himachal Pradesh, IN

2014-09-16 to 2015-01-09 | Project Assistant (School of Basic Sciences)
Employment
Source: Self-asserted source
Lakshman Mahto

Birla Institute of Technology : Ranchi, JH, IN

2010-02-08 to 2010-09-14 | Senior Research Fellow (Applied Mathematics)
Employment
Source: Self-asserted source
Lakshman Mahto

Education and qualifications (5)

Indian Institute of Technology Mandi: Mandi, Himachal Pradesh, IN

2010-10-19 to 2014-09-15 | PhD (School of Basic Sciences)
Education
Source: Self-asserted source
Lakshman Mahto

Ranchi University: Ranchi, Jharkhand, IN

2007-09 to 2009-05 | M.Sc. (Mathematics)
Education
Source: Self-asserted source
Lakshman Mahto

Saint Xaviers College: Ranchi, Jharkhand, IN

2004-08 to 2007-04 | B.Sc. (Mathematics)
Education
Source: Self-asserted source
Lakshman Mahto

Saint Xaviers College: Ranchi, Jharkhand, IN

2004-08 to 2007-04 | B.Sc. (Mathematics)
Education
Source: Self-asserted source
Lakshman Mahto

Saint Xaviers College: Ranchi, Jharkhand, IN

2004-08 to 2007-04 | B.Sc. (Mathematics)
Education
Source: Self-asserted source
Lakshman Mahto

Works (15)

Conditional Variational Autoencoder Networks for Autonomous Vehicle Path Prediction

Neural Processing Letters
2022-10 | Journal article
Contributors: D. N. Jagadish; Arun Chauhan; Lakshman Mahto
Source: check_circle
Crossref

Deep Learning Techniques for Autonomous Vehicle Path Prediction

AAAI workshop on the AI for Urban Mobility Workshop
2021-02-04 | Conference paper
Source: Self-asserted source
Lakshman Mahto

Detection of Reckless Driving using Deep Learning

2020-12-16 | Conference paper
Source: Self-asserted source
Lakshman Mahto

An approximate gradient-based hyper-parameter optimization in a neural network architecture

2020-12-02 | Interactive resource
Source: Self-asserted source
Lakshman Mahto

Density Based Clustering Methods for Road Traffic Estimation

2020 IEEE REGION 10 CONFERENCE (TENCON)
2020-11-16 | Conference paper
Part of ISBN: 9781728184555
Source: Self-asserted source
Lakshman Mahto

Piecewise Continuous Stepanov-Like Almost Automorphic Functions with Applications to Impulsive Systems

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
2019 | Book chapter
Part of ISBN: 9783030152413
Part of ISBN: 9783030152420
Source: Self-asserted source
Lakshman Mahto

Approximate Controllability of Sub-Diffusion Equation with Impulsive Condition

Mathematics
2019-02-17 | Journal article
Part of ISSN: 2227-7390
Source: Self-asserted source
Lakshman Mahto
grade
Preferred source (of 2)‎

Asymptotic almost automorphic solutions of impulsive neural network with almost automorphic coefficients

2014 | Journal article
DOI:

10.1016/j.neucom.2014.04.028

EID:

2-s2.0-84904256550

Contributors: Abbas, S.; Mahto, L.; Hafayed, M.; Alimi, A.M.
Source: Self-asserted source
Lakshman Mahto via Scopus - Elsevier

PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations

2014 | Journal article
DOI:

10.1007/s00009-014-0449-3

EID:

2-s2.0-84905325415

Contributors: Mahto, L.; Abbas, S.
Source: Self-asserted source
Lakshman Mahto via Scopus - Elsevier

Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species

Differential Equations and Dynamical Systems
2014-07-29 | Journal article
DOI:

10.1007/s12591-014-0219-5

Source: Self-asserted source
Lakshman Mahto

Analysis of Caputo impulsive fractional order differential equations with applications

2013 | Journal article
DOI:

10.1155/2013/704547

EID:

2-s2.0-84887754001

Contributors: Mahto, L.; Abbas, S.; Favini, A.
Source: Self-asserted source
Lakshman Mahto via Scopus - Elsevier
grade
Preferred source (of 2)‎

Existence and uniqueness of solution of Caputo fractional differential equation

2012-09-26 | Conference paper
DOI:

http://dx.doi.org/10.1063/1.4756286

Source: Self-asserted source
Lakshman Mahto

Existence of almost periodic solution of a model of phytoplankton allelopathy with delay

2012-09-26 | Conference paper
DOI:

http://dx.doi.org/10.1063/1.4756287

Source: Self-asserted source
Lakshman Mahto

Approximate Controllability and Optimal Control of Impulsive Fractional Functional Differential Equations

Source: Self-asserted source
Lakshman Mahto

Deep Learning and Density-Based Clustering Methods for Road Traffic Prediction

Conference paper
Source: Self-asserted source
Lakshman Mahto

Peer review (3 reviews for 2 publications/grants)

Review activity for Neural networks. (2)
Review activity for Numerical algorithms. (1)