A hybrid algorithm for learning sparse and linear discriminant sequences – Although the generalization error rates for a large class of sparse and linear discriminant sequences have not improved significantly, the number of samples is still increasing exponentially with increasing sample size. We present a novel method to estimate the variance, which is an important variable in many sparse and linear discriminant sequences. The goal is to estimate the variance directly via a variational approximation to the covariance matrix of the data, which can be viewed as a nonconvex optimization problem. We show that, by using a variant of the well-known nonconvex regret bound, we can construct a variational algorithm that can learn the $k$-norm of the covariance matrix with as few as $ninfty$ regularized regret. The proposed approach outperforms the conventional variational algorithm for sparse and linear discriminant sequences.

Learning supervised topic models is a critical problem in many computer science and medical applications. Existing algorithms have been either based solely on the model’s structure, or on the number of items or the number of topics. We propose a method for predicting topics that is both more efficient and flexible than the traditional models. To our knowledge, this is the first research that considers both the number of items and the number of topics. Furthermore, we build a new model for predicting topics that is much more than the one that uses the data distribution over topics, and also more than the one that uses only the labels of interest. The results will be useful, to train many more tasks for prediction from user queries than the one currently available to researchers.

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# A hybrid algorithm for learning sparse and linear discriminant sequences

Learning the Structure of Probability Distributions using Sparse Approximations

Generalized Recurrent Bayesian Network for Dynamic Topic ModelingLearning supervised topic models is a critical problem in many computer science and medical applications. Existing algorithms have been either based solely on the model’s structure, or on the number of items or the number of topics. We propose a method for predicting topics that is both more efficient and flexible than the traditional models. To our knowledge, this is the first research that considers both the number of items and the number of topics. Furthermore, we build a new model for predicting topics that is much more than the one that uses the data distribution over topics, and also more than the one that uses only the labels of interest. The results will be useful, to train many more tasks for prediction from user queries than the one currently available to researchers.