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stat.ME2022★ 1 cited
Estimating large causal polytrees from small samples
Sourav Chatterjee, Mathukumalli Vidyasagar
We consider the problem of estimating a large causal polytree from a relatively small i.i.d. sample. This is motivated by the problem of determining causal structure when the numbe…
math.OC2022
Convergence of Batch Updating Methods with Approximate Gradients and/or Noisy Measurements: Theory and Computational Results
Tadipatri Uday Kiran Reddy, M. Vidyasagar
In this paper, we present a unified and general framework for analyzing the batch updating approach to nonlinear, high-dimensional optimization. The framework encompasses all the c…
stat.ML2022
Convergence of Stochastic Approximation via Martingale and Converse Lyapunov Methods
M. Vidyasagar
In this paper, we study the almost sure boundedness and the convergence of the stochastic approximation (SA) algorithm. At present, most available convergence proofs are based on t…