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Pivotal Estimation of Linear Discriminant Analysis in High Dimensions

arXiv.org Machine Learning

We consider the linear discriminant analysis problem in the high-dimensional settings. In this work, we propose PANDA(PivotAl liNear Discriminant Analysis), a tuning-insensitive method in the sense that it requires very little effort to tune the parameters. Moreover, we prove that PANDA achieves the optimal convergence rate in terms of both the estimation error and misclassification rate. Our theoretical results are backed up by thorough numerical studies using both simulated and real datasets. In comparison with the existing methods, we observe that our proposed PANDA yields equal or better performance, and requires substantially less effort in parameter tuning.


DPPy: Sampling Determinantal Point Processes with Python

arXiv.org Machine Learning

Determinantal point processes (DPPs) are specific probability distributions over clouds of points that are used as models and computational tools across physics, probability, statistics, and more recently machine learning. Sampling from DPPs is a challenge and therefore we present DPPy, a Python toolbox that gathers known exact and approximate sampling algorithms. The project is hosted on GitHub and equipped with an extensive documentation. This documentation takes the form of a short survey of DPPs and relates each mathematical property with DPPy objects.


Dick Gautier, best known as 'Get Smart's' Hymie the robot, dies at 85

Los Angeles Times

To some, he was the voice of Rodimus Prime on the mid-1980s animated TV show "The Transformers," or Serpentor on the animated "G.I. But for baby boomers, Dick Gautier was best known for his deadpan performance as Hymie the robot in the '60s spy spoof "Get Smart." The actor died Friday, according to a Facebook post by Tess Hightower, his third wife. Gautier's daughter Denise told the Hollywood Reporter that he passed away at an assisted living facility in Arcadia after a long illness. Gautier earned a Tony nomination for his performance as Conrad Birdie, an Elvis Presley-esque singer, in the original Broadway production of "Bye, Bye Birdie," which also starred Dick Van Dyke. Born in Culver City, Gautier began his show business career as a comedian and was spotted performing at a New York club by renowned dancer-choreographer Gower Champion, who urged him to audition for "Bye, Bye Birdie." Though he made only six appearances on "Get Smart," his character, Hymie, a robot with superhuman strength and intelligence but a tendency to interpret commands in an overly literal fashion, became a fan favorite. He reprised the role in the 1989 made-for-TV movie "Get Smart, Again!" Gautier also starred as Robin Hood in the Mel Brooks series "When Things Were Rotten" and on multiple episodes of the anthology comedy series "Love, American Style." He was a fixture on the talk- and game-show circuit of the 1970s, appearing on "Password," "Tattletales," "Match Game," "Dinah!" and "Hollywood Squares," among others. Gautier also published several books about caricature drawing, and a children's book called "A Child's Garden of Weirdness." Gautier became popular to a younger generation through his voiceover work. Joe," and "Transformers," he voiced dozens of animated characters on "Duck Tales," "Cow and Chicken" and many more.