منابع مشابه
Scattered manifold-valued data approximation
We consider the problem of approximating a function f from an Euclidean domain to a manifold M by scattered samples [Formula: see text], where the data sites [Formula: see text] are assumed to be locally close but can otherwise be far apart points scattered throughout the domain. We introduce a natural approximant based on combining the moving least square method and the Karcher mean. We prove ...
متن کاملHolomorphic Approximation on Real Submanifolds of a Complex Manifold
Let X be a complex manifold, let 0 be the sheaf of germs of holomorphic functions on X, and let T(K, 0) denote the ring of sections over KQX (holomorphic functions on K, see [5] as a general reference for the terminology used here). If K is a compact set in X, let C(K) be the Banach algebra of continuous complex-valued functions on K with respect to the maximum norm on K. Let A (K) denote the c...
متن کاملDecision Manifold Approximation for Physics-Based Simulations
With the recent surge of success in big-data driven deep learning problems, many of these frameworks focus on the notion of architecture design and utilizing massive databases. However, in some scenarios massive sets of data may be difficult, and in some cases infeasible, to acquire. In this paper we discuss a trajectory-based framework that quickly learns the underlying decision manifold of bi...
متن کاملSingle Image Super Resolution via Manifold Approximation
Image super-resolution remains an important research topic to overcome the limitations of physical acquisition systems, and to support the development of high resolution displays. Previous example-based super-resolution approaches mainly focus on analyzing the co-occurrence properties of lowresolution and high-resolution patches. Recently, we proposed a novel single image super-resolution appro...
متن کاملManifold Approximation of Set-valued Functions
Sequences are denoted by x — although C functions are involved in the sequel, their derivative are not explicitly used so this notation for sequences will not interfere with the usual one for derivatives. A function f : R −→ P(R) is a subset of R. Notations and theorems related to manifolds are taken from Hirsch[1]. Points belonging to manifolds will be denoted with tildes. The closed n-dimensi...
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: WSEAS TRANSACTIONS ON MATHEMATICS
سال: 2021
ISSN: 2224-2880,1109-2769
DOI: 10.37394/23206.2021.20.7