@CONFERENCE\{IMM2011-06082, author = "M. M{\o}rup and M. N. Schmidt", title = "Transformation invariant sparse coding", year = "2011", booktitle = "Machine Learning for Signal Processing, {IEEE} International Workshop on (MLSP)", volume = "", series = "", editor = "", publisher = "Informatics and Mathematical Modelling, Technical University of Denmark, {DTU}", organization = "", address = "Richard Petersens Plads, Building 321, {DK-}2800 Kgs. Lyngby", url = "http://www2.compute.dtu.dk/pubdb/pubs/6082-full.html", abstract = "Sparse coding is a well established principle for unsupervised learning. Traditionally, features are extracted in sparse coding in specific locations, however, often we would prefer invariant representation. This paper introduces a general transformation invariant sparse coding (TISC) model. The model decomposes images into features invariant to location and general transformation by a set of specified operators as well as a sparse coding matrix indicating where and to what degree in the original image these features are present. The {TISC} model is in general overcomplete and we therefore invoke sparse coding to estimate its parameters. We demonstrate how the model can correctly identify components of non-trivial artificial as well as real image data. Thus, the model is capable of reducing feature redundancies in terms of pre-specified transformations improving the component identification." }