Unsupervised learning of invariant representations
The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples (n → ∞). The next phase is likely to focus on algorithms capable of learning from very few labeled examples (n → 1), like humans seem able to do. We propose an approach...
Main Authors: | , , , , , |
---|---|
Other Authors: | |
Format: | Article |
Language: | en_US |
Published: |
Elsevier
2018
|
Online Access: | http://hdl.handle.net/1721.1/116137 https://orcid.org/0000-0002-0264-4761 https://orcid.org/0000-0002-3153-916X https://orcid.org/0000-0001-6376-4786 https://orcid.org/0000-0001-6130-5631 https://orcid.org/0000-0001-9311-9171 https://orcid.org/0000-0002-3944-0455 |
_version_ | 1826205374433198080 |
---|---|
author | Anselmi, Fabio Leibo, Joel Z Rosasco, Lorenzo Mutch, James Vincent Tacchetti, Andrea Poggio, Tomaso A |
author2 | Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences |
author_facet | Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences Anselmi, Fabio Leibo, Joel Z Rosasco, Lorenzo Mutch, James Vincent Tacchetti, Andrea Poggio, Tomaso A |
author_sort | Anselmi, Fabio |
collection | MIT |
description | The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples (n → ∞). The next phase is likely to focus on algorithms capable of learning from very few labeled examples (n → 1), like humans seem able to do. We propose an approach to this problem and describe the underlying theory, based on the unsupervised, automatic learning of a “good” representation for supervised learning, characterized by small sample complexity. We consider the case of visual object recognition, though the theory also applies to other domains like speech. The starting point is the conjecture, proved in specific cases, that image representations which are invariant to translation, scaling and other transformations can considerably reduce the sample complexity of learning. We prove that an invariant and selective signature can be computed for each image or image patch: the invariance can be exact in the case of group transformations and approximate under non-group transformations. A module performing filtering and pooling, like the simple and complex cells described by Hubel and Wiesel, can compute such signature. The theory offers novel unsupervised learning algorithms for “deep” architectures for image and speech recognition. We conjecture that the main computational goal of the ventral stream of visual cortex is to provide a hierarchical representation of new objects/images which is invariant to transformations, stable, and selective for recognition—and show how this representation may be continuously learned in an unsupervised way during development and visual experience. |
first_indexed | 2024-09-23T13:11:59Z |
format | Article |
id | mit-1721.1/116137 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T13:11:59Z |
publishDate | 2018 |
publisher | Elsevier |
record_format | dspace |
spelling | mit-1721.1/1161372022-10-01T13:43:26Z Unsupervised learning of invariant representations Anselmi, Fabio Leibo, Joel Z Rosasco, Lorenzo Mutch, James Vincent Tacchetti, Andrea Poggio, Tomaso A Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences McGovern Institute for Brain Research at MIT Anselmi, Fabio Leibo, Joel Z Rosasco, Lorenzo Mutch, James Vincent Tacchetti, Andrea Poggio, Tomaso A The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples (n → ∞). The next phase is likely to focus on algorithms capable of learning from very few labeled examples (n → 1), like humans seem able to do. We propose an approach to this problem and describe the underlying theory, based on the unsupervised, automatic learning of a “good” representation for supervised learning, characterized by small sample complexity. We consider the case of visual object recognition, though the theory also applies to other domains like speech. The starting point is the conjecture, proved in specific cases, that image representations which are invariant to translation, scaling and other transformations can considerably reduce the sample complexity of learning. We prove that an invariant and selective signature can be computed for each image or image patch: the invariance can be exact in the case of group transformations and approximate under non-group transformations. A module performing filtering and pooling, like the simple and complex cells described by Hubel and Wiesel, can compute such signature. The theory offers novel unsupervised learning algorithms for “deep” architectures for image and speech recognition. We conjecture that the main computational goal of the ventral stream of visual cortex is to provide a hierarchical representation of new objects/images which is invariant to transformations, stable, and selective for recognition—and show how this representation may be continuously learned in an unsupervised way during development and visual experience. National Science Foundation (U.S.) (Award CCF - 1231216) 2018-06-06T14:01:56Z 2018-06-06T14:01:56Z 2015-06 2015-04 Article http://purl.org/eprint/type/JournalArticle 0304-3975 http://hdl.handle.net/1721.1/116137 Anselmi, Fabio, et al. “Unsupervised Learning of Invariant Representations.” Theoretical Computer Science, vol. 633, June 2016, pp. 112–21. https://orcid.org/0000-0002-0264-4761 https://orcid.org/0000-0002-3153-916X https://orcid.org/0000-0001-6376-4786 https://orcid.org/0000-0001-6130-5631 https://orcid.org/0000-0001-9311-9171 https://orcid.org/0000-0002-3944-0455 en_US http://dx.doi.org/10.1016/j.tcs.2015.06.048 Theoretical Computer Science Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Elsevier arXiv |
spellingShingle | Anselmi, Fabio Leibo, Joel Z Rosasco, Lorenzo Mutch, James Vincent Tacchetti, Andrea Poggio, Tomaso A Unsupervised learning of invariant representations |
title | Unsupervised learning of invariant representations |
title_full | Unsupervised learning of invariant representations |
title_fullStr | Unsupervised learning of invariant representations |
title_full_unstemmed | Unsupervised learning of invariant representations |
title_short | Unsupervised learning of invariant representations |
title_sort | unsupervised learning of invariant representations |
url | http://hdl.handle.net/1721.1/116137 https://orcid.org/0000-0002-0264-4761 https://orcid.org/0000-0002-3153-916X https://orcid.org/0000-0001-6376-4786 https://orcid.org/0000-0001-6130-5631 https://orcid.org/0000-0001-9311-9171 https://orcid.org/0000-0002-3944-0455 |
work_keys_str_mv | AT anselmifabio unsupervisedlearningofinvariantrepresentations AT leibojoelz unsupervisedlearningofinvariantrepresentations AT rosascolorenzo unsupervisedlearningofinvariantrepresentations AT mutchjamesvincent unsupervisedlearningofinvariantrepresentations AT tacchettiandrea unsupervisedlearningofinvariantrepresentations AT poggiotomasoa unsupervisedlearningofinvariantrepresentations |