by Muhammad Zulqarnain | Feb 15, 2023 | Uncategorized
Before starting with Distributed Oja, The analysis of $k-Oja$ is useful. This analysis is adapted from “First efficient convergence for streaming k-pca: a global, gap-free, and near-optimal rate” The $k-Oja$ algorithm is given as: Input: Incoming data at...
by Muhammad Zulqarnain | Feb 14, 2023 | Research Work
Notations & Conventions We use standard notation for denoting vectors, scalars, and matrices by lowercase bold, lowercase, and uppercase letters, respectively. The subscript in $\ba_{i,t}$ denotes the vector at node $i$ at time $t$, whereas the superscript in...
by Muhammad Zulqarnain | Feb 14, 2023 | Research Work
In this article, we explore the problem of achieving consensus in an undirected connected graph and explore the conditions of convergence on doubly stochastic weight matrix $\bW$. Given a set of nodes $\cN = {1,2,\ldots,N}$ in a connected graph $\cG = (\cN,\cE)$,...
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