4 papers
Reciprocal-Manifold Annealed KKT Flows for Constrained Optimization: Application to the Nonconvex AC Optimal Power Flow
M Parimi, Aditi Ramteke, Rachit Mehra +2
Safety-critical optimization applications, such as real-time power system operation, maintain feasibility at every intermediate step, not merely at convergence. Existing approaches…
On the Nesterov's acceleration: A NAIM perspective
Rachit Mehra, M Parimi, Amol Yerudkar +2
We present a unifying Nearly Asymptotically Invariant Manifold (NAIM) framework for understanding Nesterovs Accelerated Gradient (NAG) method. By lifting the first-order gradient f…
On the Dynamics of Acceleration in First order Gradient Methods
M Parimi, Rachit Mehra, S. R. Wagh +2
Ever since the original algorithm by Nesterov (1983), the true nature of the acceleration phenomenon has remained elusive, with various interpretations of why the method is actuall…
On the Dynamics of Control
Rachit Mehra, M Parimi, S. R. Wagh +1
We present a dynamical system approach for the control of a nonlinear dynamical system by defining the control problem in a Fiber bundle framework. The constructive procedure deriv…