Ronald R. Coifman
Yale University
259 Papers
3.5K Citations
Ronald R. Coifman is an academic researcher from Yale University. The author has contributed to research in topics: Wavelet & Diffusion map. The author has an hindex of 69, co-authored 254 publications. Previous affiliations of Ronald R. Coifman include University of Colorado Boulder & Stanford University.
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Papers
Nonlinear Phase Unwinding of Functions
TL;DR: In this article, a nonlinear analogue of Fourier series is studied and a family of inequalities are derived to prove convergence for a large number of function spaces: for example, they have convergence in L 2 for functions in the Dirichlet space.
Nonlinear intrinsic variables and state reconstruction in multiscale simulations
TL;DR: In this article, the use of nonlinear intrinsic variables (NIV) in the mining of high-dimensional multiscale simulation data is discussed and illustrated through two distinct sets of atomistic simulations: a stochastic simulation of an enzyme reaction network exhibiting both fast and slow time scales, and a molecular dynamics simulation of alanine dipeptide in explicit water.
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Doubly-Stochastic Normalization of the Gaussian Kernel is Robust to Heteroskedastic Noise
TL;DR: It is proved that in a suitable high-dimensional setting where heteroskedastic noise does not concentrate too much in any particular direction in space, the resulting (doubly-stochastic) noisy affinity matrix converges to its clean counterpart with rate m -1/2, where m is the ambient dimension.
Automated cellular structure extraction in biological images with applications to calcium imaging data
TL;DR: This paper proposes a new clustering method, Local Selective Spectral Clustering, capable of handling overlapping clusters and disregarding clutter, and presents a new nonlinear mapping which recovers the structural map of the neurons and dendrites, and global video denoising.