1,102 research outputs found
A Bandit Approach to Maximum Inner Product Search
There has been substantial research on sub-linear time approximate algorithms
for Maximum Inner Product Search (MIPS). To achieve fast query time,
state-of-the-art techniques require significant preprocessing, which can be a
burden when the number of subsequent queries is not sufficiently large to
amortize the cost. Furthermore, existing methods do not have the ability to
directly control the suboptimality of their approximate results with
theoretical guarantees. In this paper, we propose the first approximate
algorithm for MIPS that does not require any preprocessing, and allows users to
control and bound the suboptimality of the results. We cast MIPS as a Best Arm
Identification problem, and introduce a new bandit setting that can fully
exploit the special structure of MIPS. Our approach outperforms
state-of-the-art methods on both synthetic and real-world datasets.Comment: AAAI 201
Power Comparison of Some Goodness-of-fit Tests
There are some existing commonly used goodness-of-fit tests, such as the Kolmogorov-Smirnov test, the Cramer-Von Mises test, and the Anderson-Darling test. In addition, a new goodness-of-fit test named G test was proposed by Chen and Ye (2009). The purpose of this thesis is to compare the performance of some goodness-of-fit tests by comparing their power.
A goodness-of-fit test is usually used when judging whether or not the underlying population distribution differs from a specific distribution. This research focus on testing whether the underlying population distribution is an exponential distribution.
To conduct statistical simulation, SAS/IML is used in this research. Some alternative distributions such as the triangle distribution, V-shaped triangle distribution are used. By applying Monte Carlo simulation, it can be concluded that the performance of the Kolmogorov-Smirnov test is better than the G test in many cases, while the G test performs well in some cases
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