Accelerated Log-Regularized Convolutional Transform Learning and Its Convergence Guarantee.

Convolutional transform learning (CTL), learning filters by minimizing the data fidelity loss function in an unsupervised way, is becoming very pervasive, resulting from keeping the best of both worlds: the benefit of unsupervised learning and the success of the convolutional neural network. There have been growing interests in developing efficient CTL algorithms. However, developing a convergent and accelerated CTL algorithm with accurate representations simultaneously with proper sparsity is an open problem. This article presents a new CTL framework with a log regularizer that can not only obtain accurate representations but also yield strong sparsity. To efficiently address our nonconvex composite optimization, we propose to employ the proximal difference of the convex algorithm (PDCA) which relies on decomposing the nonconvex regularizer into the difference of two convex parts and then optimizes the convex subproblems. Furthermore, we introduce the extrapolation technology to accelerate the algorithm, leading to a fast and efficient CTL algorithm. In particular, we provide a rigorous convergence analysis for the proposed algorithm under the accelerated PDCA. The experimental results demonstrate that the proposed algorithm can converge more stably to desirable solutions with lower approximation error and simultaneously with stronger sparsity and, thus, learn filters efficiently. Meanwhile, the convergence speed is faster than the existing CTL algorithms.

Effects of tang mai kang capsule on angioneurotic lesions in alloxan-induced diabetic mice.

The effects of Tang Mai Kang Capsule ([symbol: see text]) on blood sugar level, gangrene of the tail-tip, pain threshold and learning and memory abilities were investigated in alloxan-induced diabetic mice. The results showed that Tang Mai Kang Capsule could significantly decrease blood sugar level and incidence rate of gangrene of the tail-tip, increase pain threshold, and strengthen learning and memory abilities, suggesting that Tang Mai Kang Capsule functions to decrease blood sugar level and improve the complicated angioneurotic lesions of diabetes.