@article{bietti:hal-01536004, TITLE = {{Group Invariance, Stability to Deformations, and Complexity of Deep Convolutional Representations}}, AUTHOR = {Bietti, Alberto and Mairal, Julien}, URL = {https://inria.hal.science/hal-01536004}, JOURNAL = {{Journal of Machine Learning Research}}, PUBLISHER = {{Microtome Publishing}}, VOLUME = {20}, NUMBER = {1}, PAGES = {1-49}, YEAR = {2019}, KEYWORDS = {kernel methods ; deep learning ; stability ; invariant representations}, PDF = {https://inria.hal.science/hal-01536004v4/file/main.pdf}, HAL_ID = {hal-01536004}, HAL_VERSION = {v4}, }