An Adaptive Aggregated Convex Approximation for Log-Linear Models – In this paper, a novel method for estimating a matrix $mathcal{O}(m)$ from $m$ non-linear data is investigated. The problem of such an inference has been studied in the literature, and it was found that the most popular approach is to assume the data is sparse, and then use a greedy algorithm to estimate a fixed matrix. To improve the generalizability of the algorithm, we propose a novel scheme for $m$ non-linear data. We show that this method is very effective to compute a fixed matrix, and the performance guarantees for the proposed method are greatly improved. We also provide an implementation of the proposed method, and show that it can be applied to the challenging OSCID problem.

We propose a novel model for the construction and characterization of a stream of multivariate Markov random variables. Our model is based on the observation that given an observable sequence of continuous variables, the multivariate Markov random variable (MVRV) can be generated exactly from a small (determinantal) set of variables. The model is a convolutional neural network (CNN) capable of generating Markov random variables from a small set of continuous variables. We first show that the proposed model, which has a linear computational cost, converges to a non-convex regularizer in the sense that it generalizes well to the optimal approximation for the data set, and so can be used to estimate a non-convex regularizer for a Markov random variable. Finally, we propose an algorithm for solving such a Markov random variable generation task, and demonstrate the performance of the proposed model with an empirical dataset of the human brain.

Convolutional neural network with spatiotemporal-convex relaxations

A Random Fourier Transform Based Schemas for Bayesian Nonconvex Optimization

# An Adaptive Aggregated Convex Approximation for Log-Linear Models

Fast and Scalable Learning for Nonlinear Component Analysis

Learning Non-Gaussian Stream Data over HypergraphsWe propose a novel model for the construction and characterization of a stream of multivariate Markov random variables. Our model is based on the observation that given an observable sequence of continuous variables, the multivariate Markov random variable (MVRV) can be generated exactly from a small (determinantal) set of variables. The model is a convolutional neural network (CNN) capable of generating Markov random variables from a small set of continuous variables. We first show that the proposed model, which has a linear computational cost, converges to a non-convex regularizer in the sense that it generalizes well to the optimal approximation for the data set, and so can be used to estimate a non-convex regularizer for a Markov random variable. Finally, we propose an algorithm for solving such a Markov random variable generation task, and demonstrate the performance of the proposed model with an empirical dataset of the human brain.