Universal Barrier is nn-Self-Concordant

This paper shows that the self-concordance parameter of the universal barrier on any $n$-dimensional proper convex domain is upper bounded by $n$. This bound is tight and improves the previous $O(n)$ bound by Nesterov and Nemirovski. The key to our main result is a pair of new, sharp moment inequalities for $s$-concave distributions, which could be of independent interest

Radar-on-Lidar: metric radar localization on prior lidar maps

Radar and lidar, provided by two different range sensors, each has pros and cons of various perception tasks on mobile robots or autonomous driving. In this paper, a Monte Carlo system is used to localize the robot with a rotating radar sensor on 2D lidar maps. We first train a conditional generative adversarial network to transfer raw radar data to lidar data, and achieve reliable radar points from generator. Then an efficient radar odometry is included in the Monte Carlo system. Combining the initial guess from odometry, a measurement model is proposed to match the radar data and prior lidar maps for final 2D positioning. We demonstrate the effectiveness of the proposed localization framework on the public multi-session dataset. The experimental results show that our system can achieve high accuracy for long-term localization in outdoor scenes

Satisfaction Guaranteed in Spouse Selection: The Dynamics of Gender and Intergenerational Relations in a Chinese Dating Reality Show

This study examines a popular TV show about heterosexual dating in contemporary China, entitled Chinese Dating. This television show provides an ongoing social forum on self-articulations of gender identities and intergenerational interactions regarding dating and spouse selection expectations of the participants. Using grounded theory to guide the data analysis, the findings of the gendered differences of spouse-selection criteria in contemporary China denote deep social and cultural expectations for young men and women in a rapidly changing China. The findings of the negotiation process of the two generations indicate the continuing cultural influence of filial piety, which provides a contrasting understanding for Western readers who have long held individual rights and decision-making as a top priority in spouse-selection. Finally, this study presents a variant of the modernization theory, which argues that industrialization and modernization result in individualism that increases the power of the young and decreases the influence of the aged

Cultural changes as reflected in portrayals of women and gender in Chinese magazines published in three eras

This study examines how women\u27s roles and gender were portrayed in magazines published during three distinct epochs of Chinese history: before (1949-1965), during (1966-1976), and after the Cultural Revolution (1976 to date). It asked: What were the most dominant roles ascribed to women and femininity in each era? A content analysis of articles that discussed the role of women and gender published in three magazines--Women of China, Rosy Dawn, and the Chinese edition of Elle--was conducted to determine the most commonly occurring frames. Discourse analysis was employed to describe how these frames were applied over time. The findings show congruence between the dominant ideology of the time and the frames used in articles that discussed women and gender. However, different frames, some of which ran counter to mainstream beliefs, were also found despite high censorship conditions. The results suggest more attention to the combined impact of the mainstream culture and its associated sub-cultures on media content