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We introduce features for massive data streams.
Integration of paths—a faithful representation of paths by non-commutative formal power series
Kuo-Tsai Chen · 1958
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Hopf algebras
Moss E. Sweedler · 1969
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Hopf algebra methods in combinatorics
Gian-Carlo Rota · 1978
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Probabilistic counting algorithms for data base applications
Philippe Flajolet and G Nigel Martin · 1985
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Free Lie algebras
Christophe Reutenauer · 1993
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The space complexity of approximating the frequency moments
Noga Alon, Yossi Matias, and Mario Szegedy · 1996
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Combinatorics on words
M_ Lothaire · 1997
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Freespan: frequent pattern-projected sequential pattern mining
Jiawei Han, Jian Pei, Behzad Mortazavi-Asl, Qiming Chen, Umeshwar Dayal, and Mei-Chun Hsu · 2000
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Identifying representative trends in massive time series data sets using sketches
Piotr Indyk, Nick Koudas, and S Muthukrishnan · 2000
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Spade: An efficient algorithm for mining frequent sequences
Mohammed J Zaki · 2001
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Finding frequent items in data streams
Moses Charikar, Kevin Chen, and Martin Farach-Colton · 2002
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Maintaining stream statistics over sliding windows
Mayur Datar, Aristides Gionis, Piotr Indyk, and Rajeev Motwani · 2002
Cited alongside, same era.
Text classification using string kernels
Huma Lodhi, Craig Saunders, John Shawe-Taylor, Nello Cristianini, and Chris Watkins · 2002
Cited alongside, same era.
Finding frequent items in data streams
Moses Charikar, Kevin Chen, and Martin Farach-Colton · 2004
Cited alongside, same era.
An improved data stream summary: the count-min sketch and its applications
Graham Cormode and S Muthukrishnan · 2005
Cited alongside, same era.
Data streams: Algorithms and applications
Shanmugavelayutham Muthukrishnan · 2005
Cited alongside, same era.
Universal kernels
Charles A Micchelli, Yuesheng Xu, and Haizhang Zhang · 2006
Cited alongside, same era.
A course on rough paths: with an introduction to regularity structures
Peter K Friz and Martin Hairer · 2014
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Mining of massive datasets
Jure Leskovec, Anand Rajaraman, and Jeffrey David Ullman · 2014
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Rough paths, signatures and the modelling of functions on streams
Terry Lyons · 2014
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Randomized sketches of convex programs with sharp guarantees
Mert Pilanci and Martin J Wainwright · 2015
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Randomized sketches for kernels: Fast and optimal non-parametric regression
Yun Yang, Mert Pilanci, and Martin J Wainwright · 2015
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A subsequence interleaving model for sequential pattern mining
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A primer of hopf algebras
Pierre Cartier · 2007
Cited alongside, same era.
Hash kernels
Qinfeng Shi, James Petterson, Gideon Dror, John Langford, Alexander J. Smola, Alexander L. Strehl, and S. V. N. Vishwanathan · 2009
Cited alongside, same era.
Uniqueness for the signature of a path of bounded variation and the reduced path group
Ben Hambly and Terry Lyons · 2010
Cited alongside, same era.
Parameter estimation for rough differential equations
Anastasia Papavasiliou and Christophe Ladroue · 2011
Cited alongside, same era.
Sparse arrays of signatures for online character recognition
Ben Graham
Cited in the paper.
Kernels for sequentially ordered data
F. J Király and H. Oberhauser
Cited in the paper.
Jaroslav Fowkes and Charles Sutton · 2016
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Stream Aggregation Through Order Sampling
N. Duffield, Y. Xu, L. Xia, N. Ahmed, and M. Yu · 2017
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Detecting early signs of depressive and manic episodes in patients with bipolar disorder using the signature-based model
A. Kormilitzin, K. E. A. Saunders, P. J. Harrison, J. R. Geddes, and T. Lyons · 2017
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Hyperbolic development and inversion of signature
Terry J Lyons and Weijun Xu · 2017
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Leveraging the path signature for skeleton-based human action recognition
Weixin Yang, Terry Lyons, Hao Ni, Cordelia Schmid, Lianwen Jin, and Jiawei Chang · 2017
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