Search

In this paper, through an intuitive vanil la proximal method perspective, we derive a concise unified acceleration framework (UAF) for minimizing a convex function that has H\"older continuous derivatives with respect to general (non-Euclidean) norms. The UAF reconciles two different high-order acceleration approaches, one by Nesterov [Math. Program., 112 (2008), pp. 159-181] and one by Monteiro and Svaiter [SIAM J. Optim., 23 (2013), pp. 1092-1125]. As a result, the UAF unifies the high-order acceleration instances of the two approaches by only two problem-related parameters and two additional parameters for framework design. Meanwhile, the UAF (and its analysis) is the first approach to make high-order methods applicable for high-order smoothness conditions with respect to non-Euclidean norms. Furthermore, the UAF is the first approach that can match the existing lower bound of iteration complexity for minimizing a convex function with H\"older continuous derivatives. For practical implementation, we introduce a new and effective heuristic that significantly simplifies the binary search procedure required by the framework. We use experiments on logistic regression to verify the effectiveness of the heuristic. Finally, the UAF is proposed directly in the general composite convex setting and shows that the existing high-order algorithms can be naturally extended to the general composite convex setting. [ABSTRACT FROM AUTHOR]

Although earlier scholarship on Southeast Asia focused on the legacy of Hinduism in that region, the recent turn away from models of syncretism and toward explaining Buddhism in terms of the 'Pali imaginaire' has led to a sharp de-emphasis of 'Hinduism' as a valid category for understanding religion in Buddhist countries of Southeast Asia such as Thailand. In this article, I argue that 'Hinduism' still has a utility for the study of religion in Thailand as long as it is used correctly—that is, not to label something as 'non-Buddhist'. I argue that we must study Theravāda Buddhism and the Pali imaginaire as embedded in a broader world context that includes Hinduism within it. In particular, certain historical continuities between the Sanskrit Cosmopolis that once reigned over Southern Asia and the Pali Cosmpolis that formed in Sri Lanka and Southeast Asia after the former's collapse have resulted in a space for Hinduism to have ongoing agency within Pali Buddhism. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Global Scholars of Marketing Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)