113 citations · 243 across the 8 of their papers we have counts for
8 papers
Forbidden ordinal patterns in higher dimensional dynamics
J. M. Amigó, M. B. Kennel
Forbidden ordinal patterns are ordinal patterns (or `rank blocks') that cannot appear in the orbits generated by a map taking values on a linearly ordered space, in which case we s…
Forbidden patterns and shift systems
José M. Amigó, Sergi Elizalde, Matthew B. Kennel
The scope of this paper is two-fold. First, to present to the researchers in combinatorics an interesting implementation of permutations avoiding generalized patterns in the framew…
KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space
Matthew B. Kennel
Many data-based statistical algorithms require that one find \textit{near or nearest neighbors} to a given vector among a set of points in that vector space, usually with Euclidean…
Shaping Current Waveforms for direct Modulation of Semiconductor Lasers
L. Illing, M. B. Kennel
We demonstrate a technique for shaping current inputs for the direct modulation of a semiconductor laser for digital communication. The introduction of shaped current inputs allows…
Estimating good discrete partitions from observed data: symbolic false nearest neighbors
Matthew B. Kennel, Michael Buhl
A symbolic analysis of observed time series data requires making a discrete partition of a continuous state space containing observations of the dynamics. A particular kind of part…
Testing for General Dynamical Stationarity with a Symbolic Data Compression Technique
Matthew B. Kennel, Alistair I. Mees
We construct a statistic and null test for examining the stationarity of time-series of discrete symbols: whether two data streams appear to originate from the same underlying unkn…