Property Testing: A Learning Theory Perspective takes the learning-theory point of view of property testing and focuses on results for testing properties of functions that are of interest to the learning theory community. In particular it covers results for testing algebraic properties of functions such as linearity, testing properties defined by concise representations, such as having a small DNF representation, and more. Property Testing: A Learning Theory Perspective starts with some preliminaries, including a precise statement and proof of the simple but important observation that testing is no harder than learning. It goes on to consider the first type of properties that were studied in the context of property testing: algebraic properties. These include testing whether a function is (multi-)linear and more generally whether it is a polynomial of bounded degree. It then turns to the study of function class that have a concise (propositional logic) representation such as singletons, monomials and small DNF formula. It proceeds to discuss distribution free testing, and testing from random examples alone. Finally, it contains a brief survey of other results in property testing. These include testing monotonicity, testing of clustering, testing properties of distributions, and more. Property Testing: A Learning Theory Perspective is an ideal text for anybody with an interest in property testing and how it connects to topics in machine learning.
How will the latest series of sweeping reforms affect China's expanding private equity industry? How does this complex sector of the massive Chinese economy point the way towards further explosive growth? How can investors position themselves under the new regulatory system to do business in the future? Private Equity Funds in China: A 20-Year Overview, in 2 volumes, serves as the definitive resource on understanding and navigating China's private funds market. Both a history and a guide, the 2 volumes of this set explain the ups-and-downs of China's private funds market and the substantial differences and striking similarities between China's private equity market and similar markets in the United States and Europe. With comprehensive data and statistics, as well as inside information, Chief Editor Xia Bin, the Counselor of the State Council, presents policy recommendations which could potentially change China's equity funds sector, and even the asset management market. Private Equity Funds in China: A 20-Year Overview offers a bold and frank assessment of the state of the industry and reveals: The inner workings of China's private securities and non-securities investment funds The intricacies of China's "sunshine" private funds The progression of China's venture capital funds
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