Splitting criteria and extension types
نویسندگان
چکیده
منابع مشابه
Splitting Criteria and Extension Types
Introduction. Following the lead given by Galois theory it appears natural to term extensions G and H of the group N equivalent extensions, if there exists an isomorphism of G upon H which leaves invariant every element in N. But if G is an extension of Nf and if S is some group, then it will, in general, be impossible to assert the equivalence of the extensions G and G ®S of N in spite of the ...
متن کاملCriteria for Bochner's extension problem
A necessary and sufficient condition for the resolution of the weak extension problem is given. This criterion is applied to also give a criterion for the solvability of the classical Bochner’s extension problem in the L–category. The solution of the L–extension problem by Bochner [1] giving the relation between the order of the operator, the dimension, and index p, for which the L–extension pr...
متن کاملFamilies of splitting criteria for classification trees
Several splitting criteria for binary classification trees are shown to be written as weighted sums of two values of divergence measures. This weighted sum approach is then used to form two families of splitting criteria. One of them contains the chi-squared and entropy criterion, the other contains the mean posterior improvement criterion. Both family members are shown to have the property of ...
متن کاملA Few Splitting Criteria for Vector Bundles
We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multiprojective spaces. The tools are monads and a Beilinson’s type spectral sequence generalized by Costa and Miró-Roig.
متن کاملOne Class Splitting Criteria for Random Forests
Random Forests (RFs) are strong machine learning tools for classification and regression. However, they remain supervised algorithms, and no extension of RFs to the one-class setting has been proposed, except for techniques based on second-class sampling. This work fills this gap by proposing a natural methodology to extend standard splitting criteria to the one-class setting, structurally gene...
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: Bulletin of the American Mathematical Society
سال: 1949
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1949-09272-8