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Found 7 papers, 4 papers with code
FRUITS: Feature Extraction Using Iterated Sums for Time Series Classification
We introduce a pipeline for time series classification that extracts features based on the iterated-sums signature (ISS) and then applies a linear classifier.
The moving frame method for iterated-integrals: orthogonal invariants
Geometric features, robust to noise, of curves in Euclidean space are of great interest for various applications such as machine learning and image analysis.
Differential Geometry Algebraic Geometry 60L10, 14L24
Generalized iterated-sums signatures
We explore the algebraic properties of a generalized version of the iterated-sums signature, inspired by previous work of F.~Kir\'aly and H.~Oberhauser.
Tropical time series, iterated-sums signatures and quasisymmetric functions
Aiming for a systematic feature-extraction from time series, we introduce the iterated-sums signature over arbitrary commutative semirings.
Time-warping invariants of multidimensional time series
We show that these correspond to a certain family of iterated sums of the increments of the time series, known as quasisymmetric functions in the mathematics literature.
Invariants of multidimensional time series based on their iterated-integral signature
We introduce a novel class of features for multidimensional time series, that are invariant with respect to transformations of the ambient space.
Rotation invariants of two dimensional curves based on iterated integrals
We introduce a novel class of rotation invariants of two dimensional curves based on iterated integrals.
