no code implementations • 23 Jan 2014 • N. Denizcan Vanli, Muhammed O. Sayin, Suleyman S. Kozat
We study nonlinear regression of real valued data in an individual sequence manner, where we provide results that are guaranteed to hold without any statistical assumptions.
no code implementations • 26 Nov 2013 • Muhammed O. Sayin, N. Denizcan Vanli, Suleyman S. Kozat
We introduce important members of this family of algorithms such as the least mean logarithmic square (LMLS) and least logarithmic absolute difference (LLAD) algorithms that improve the convergence performance of the conventional algorithms.
no code implementations • 25 Nov 2013 • N. Denizcan Vanli, Suleyman S. Kozat
We first introduce the lower bounds on this relative performance in the mixture of experts framework, where we show that for any sequential algorithm, there always exists a sequence for which the performance of the sequential algorithm is lower bounded by zero.
no code implementations • 25 Nov 2013 • N. Denizcan Vanli, Suleyman S. Kozat
In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an individual sequence manner.