Adaptive Accelerated Gradient Converging Methods under Holderian Error Bound Condition

23 Nov 2016 Mingrui Liu Tianbao Yang

Recent studies have shown that proximal gradient (PG) method and accelerated gradient method (APG) with restarting can enjoy a linear convergence under a weaker condition than strong convexity, namely a quadratic growth condition (QGC). However, the faster convergence of restarting APG method relies on the potentially unknown constant in QGC to appropriately restart APG, which restricts its applicability... (read more)

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