D
David Mumford
Researcher at Brown University
Publications - 172
Citations - 38813
David Mumford is an academic researcher from Brown University. The author has contributed to research in topics: Geodesic & Theta function. The author has an hindex of 73, co-authored 172 publications receiving 37046 citations. Previous affiliations of David Mumford include Harvard University.
Papers
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Journal ArticleDOI
Optimal approximations by piecewise smooth functions and associated variational problems
David Mumford,Jayant Shah +1 more
TL;DR: In this article, the authors introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision, and study their application in computer vision.
Book
Geometric Invariant Theory
TL;DR: Geometric invariant theory for moduli spaces has been studied extensively in the mathematical community as mentioned in this paper, with a large number of applications to the moduli space construction problem, see, for instance, the work of Mumford and Fogarty.
Book
Tata Lectures on Theta I
TL;DR: In this paper, theta functions in one variable and motivation: motivation and theta function in several variables are compared. But the results are limited to one variable, and motivation is not considered.
Journal ArticleDOI
The irreducibility of the space of curves of given genus
Pierre Deligne,David Mumford +1 more
TL;DR: In this article, the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).
Journal ArticleDOI
Hierarchical Bayesian inference in the visual cortex
Tai Sing Lee,David Mumford +1 more
TL;DR: This work proposes a new theoretical setting based on the mathematical framework of hierarchical Bayesian inference for reasoning about the visual system, and suggests that the algorithms of particle filtering and Bayesian-belief propagation might model these interactive cortical computations.