30 citations · 61 across the 30 of their papers we have counts for
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DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent
Abhishek Halder
We provide a variational interpretation of the DeGroot-Friedkin map in opinion dynamics. Specifically, we show that the nonlinear dynamics for the DeGroot-Friedkin map can be viewe…
Proximal Recursion for Solving the Fokker-Planck Equation
Kenneth F. Caluya, Abhishek Halder
We develop a new method to solve the Fokker-Planck or Kolmogorov's forward equation that governs the time evolution of the joint probability density function of a continuous-time s…
Smallest Ellipsoid Containing -Sum of Ellipsoids with Application to Reachability Analysis
Abhishek Halder
We study the problem of ellipsoidal bounding of convex set-valued data, where the convex set is obtained by the -sum of finitely many ellipsoids, for any real . The not…
On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids
Abhishek Halder
We consider the problem of computing certain parameterized minimum volume outer ellipsoidal (MVOE) approximation of the Minkowski sum of a finite number of ellipsoids. We clarify c…