Modified online Newton step based on element wise multiplication

The second order method as Newton Step is a suitable technique in Online Learning to guarantee regret bound. The large data is a challenge in Newton method to store second order matrices as hessian. In this paper, we have proposed an modified online Newton step that store first and second order matrices of dimension m (classes) by d (features). we have used element wise arithmetic operation to retain matrices size same. The modified second order matrix size results in faster computations. Also, the mistake rate is at par with respect to popular methods in literature. The experiments outcome indicate that proposed method could be helpful to handle large multi class datasets in common desktop machines using second order method as Newton step.

Online learning using multiple times weight updating

Online learning makes sequence of decisions with partial data arrival where next movement of data is unknown. In this paper, we have presented a new idea as multiple times weight updating that update the weight iteratively for same instance. The proposed technique analyzed with popular algorithms from literature and experimented using established tool. The results indicates that mistake rate reduces to zero or close to zero for various datasets and algorithms. The overhead running cost is not too expensive and achieving mistake rate close to zero further strengthen the proposed technique. The proposed technique could be helpful to meet real life challenges.