Criteria for Linear Equivalence

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Criteria for Linear Model

Model selection criteria frequently arise from constructing estimators of discrepancy measures used to assess the disparity between thètrue' model and a tted approximating model. The Akaike (1973) information criterion and its variants result from utilizing Kullback's (1968) directed divergence as the targeted discrepancy. The directed divergence is an asym-metric measure of separation between ...

متن کامل

Linear Equivalence and ODE-equivalence for Coupled Cell Networks

Coupled cell systems are systems of ODEs, defined by ‘admissible’ vector fields, associated with a network whose nodes represent variables and whose edges specify couplings between nodes. It is known that non-isomorphic networks can correspond to the same space of admissible vector fields. Such networks are said to be ‘ODE-equivalent’. We prove that two networks are ODE-equivalent if and only i...

متن کامل

Asymptotic equivalence for nonparametric generalized linear models

We establish that a non-Gaussian nonparametric regression model is asymptotically equivalent to a regression model with Gaussian noise. The approximation is in the sense of Le Cam's de®ciency distance D; the models are then asymptotically equivalent for all purposes of statistical decision with bounded loss. Our result concerns a sequence of independent but not identically distributed observati...

متن کامل

Equivalence of concentration inequalities for linear and non-linear functions

We consider a random variable X that takes values in a (possibly infinite-dimensional) topological vector space X . We show that, with respect to an appropriate “normal distance” on X , concentration inequalities for linear and non-linear functions ofX are equivalent. This normal distance corresponds naturally to the concentration rate in classical concentration results such as Gaussian concent...

متن کامل

Signature submanifolds for some equivalence problems

This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.

متن کامل

ذخیره 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: Proceedings of the National Academy of Sciences

سال: 1952

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.38.3.258