Welcome to Numerical Algorithms Group (NAG) of IIITH: NAG@IIITH
My name is pawan kumar. I am an assistant professor at IIIT-H since approximately 2017.
In my group, we are interested in designing provably fast numerical algorithms for vision (image and video completion, solvers for 3D reconstruction, SLAM) machine learning (optimization methods for deep learning and extreme classification) and scientific computing (PDE Solvers). My experience has been mostly in scientific computing, but recently I have been interested in numerical algorithms for vision, machine learning, and distributed optimization and federated learning (eg with blockchains). They offer new set of challenges for numerical algorithms and analysis.
The fast and robust algorithms for the problems mentioned above are obtained either by important mathematical insight, or via clever algorithm design. More specifically, in machine learning as well as in scientific computing, newer insights via numerical analysis for optimization algorithms, which are at the core of most of these domains, can lead to robust and fast algorithms. On the other hand, a clever use of data structures, and a mapping to parallel architectures (FPGA, GPU, Clusters, etc) for the existing algorithms can lead to algorithms that run fast on modern day hardware. In general, I believe that robust numerical algorithm and high performance algorithm design go hand in hand, and they cant be developed in isolation.
In my group that comprises of bright undergraduate and graduate students, we are trying to explore various approaches for fast and robust numerical algorithms. Generally, two types of students join my group: those who are very good with linear algebra and analysis for numerical algorithms, or those who are exceptional programmers, or have strong interest in learning HPC skills, and applying it to develop algorithms for ML and scientific computing. I am particularly interested in students who want to work in the interface of scientific computing and machine learning. I am also interested in students from non-CS background. If you are one of these, then feel free to write to me to know more, or join my group as an intern. See below for current research topics and publications.
Announcement: Full time MS-by-research, PhD, or Postdoc positions available!