Efficiency loss and the linearity condition in dimension reduction
نویسندگان
چکیده
منابع مشابه
Efficiency loss and the linearity condition in dimension reduction
Linearity, sometimes jointly with constant variance, is routinely assumed in the context of sufficient dimension reduction. It is well understood that, when these conditions do not hold, blindly using them may lead to inconsistency in estimating the central subspace and the central mean subspace. Surprisingly, we discover that even if these conditions do hold, using them will bring efficiency l...
متن کاملEfficiency Loss Caused by Linearity Condition in Dimension Reduction.
Linearity, sometimes jointly with constant variance, is routinely assumed in the context of sufficient dimension reduction. It is well understood that, when these conditions do not hold, blindly using them may lead to inconsistency in estimating the central subspace and the central mean subspace. Surprisingly, we discover that even if these conditions do hold, using them will bring efficiency l...
متن کاملThe Aluffi Algebra and Linearity Condition
The Aluffi algebra is an algebraic version of characteristic cycles in intersection theory which is an intermediate graded algebra between the symmetric algebra (naive blowup) and the Rees algebra (blowup). Let R be a commutative Noetherian ring and J ⊂I ideals of R. We say that J ⊂I satisfy linearity condition if the Aluffi algebra of I/J is isomorphic with the symmetric algebra. In this pa...
متن کاملFeature Extraction and Efficiency Comparison Using Dimension Reduction Methods in Sentiment Analysis Context
Nowadays, users can share their ideas and opinions with widespread access to the Internet and especially social networks. On the other hand, the analysis of people's feelings and ideas can play a significant role in the decision making of organizations and producers. Hence, sentiment analysis or opinion mining is an important field in natural language processing. One of the most common ways to ...
متن کاملInvestigation of the efficiency of various reactive mufflers by noise reduction and transmission loss analyses
Transmission loss and noise reduction of reactive mufflers are determined by linear acoustic theory and unsteady flow field study, respectively. The effects of extending the inlet tube of the muffler, adding holes to the extension, and the number of holes on both transmission loss and noise reduction are investigated. In noise reduction analysis, the Navier-Stokes equations and k-ε model are us...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Biometrika
سال: 2013
ISSN: 0006-3444,1464-3510
DOI: 10.1093/biomet/ass075