On Invariance and Selectivity in Representation Learning

We discuss data representation which can be learned automatically from data, are invariant to transformations, and at the same time selective, in the sense that two points have the same representation only if they are one the transformation of the other. The mathematical results here sharpen some of...

Full description

Bibliographic Details
Main Authors: Anselmi, Fabio, Rosasco, Lorenzo, Poggio, Tomaso
Format: Technical Report
Language:en_US
Published: Center for Brains, Minds and Machines (CBMM), arXiv 2015
Subjects:
Online Access:http://hdl.handle.net/1721.1/100194
_version_ 1826212807896465408
author Anselmi, Fabio
Rosasco, Lorenzo
Poggio, Tomaso
author_facet Anselmi, Fabio
Rosasco, Lorenzo
Poggio, Tomaso
author_sort Anselmi, Fabio
collection MIT
description We discuss data representation which can be learned automatically from data, are invariant to transformations, and at the same time selective, in the sense that two points have the same representation only if they are one the transformation of the other. The mathematical results here sharpen some of the key claims of i-theory, a recent theory of feedforward processing in sensory cortex.
first_indexed 2024-09-23T15:38:14Z
format Technical Report
id mit-1721.1/100194
institution Massachusetts Institute of Technology
language en_US
last_indexed 2024-09-23T15:38:14Z
publishDate 2015
publisher Center for Brains, Minds and Machines (CBMM), arXiv
record_format dspace
spelling mit-1721.1/1001942019-04-12T12:31:30Z On Invariance and Selectivity in Representation Learning Anselmi, Fabio Rosasco, Lorenzo Poggio, Tomaso Invariance Representation Learning i-theory Sensory Cortex We discuss data representation which can be learned automatically from data, are invariant to transformations, and at the same time selective, in the sense that two points have the same representation only if they are one the transformation of the other. The mathematical results here sharpen some of the key claims of i-theory, a recent theory of feedforward processing in sensory cortex. This work was supported by the Center for Brains, Minds and Machines (CBMM), funded by NSF STC award CCF-1231216. 2015-12-11T21:42:05Z 2015-12-11T21:42:05Z 2015-03-23 Technical Report Working Paper Other http://hdl.handle.net/1721.1/100194 arXiv:1503.05938v1 en_US CBMM Memo Series;029 Attribution-NonCommercial 3.0 United States http://creativecommons.org/licenses/by-nc/3.0/us/ application/pdf Center for Brains, Minds and Machines (CBMM), arXiv
spellingShingle Invariance
Representation Learning
i-theory
Sensory Cortex
Anselmi, Fabio
Rosasco, Lorenzo
Poggio, Tomaso
On Invariance and Selectivity in Representation Learning
title On Invariance and Selectivity in Representation Learning
title_full On Invariance and Selectivity in Representation Learning
title_fullStr On Invariance and Selectivity in Representation Learning
title_full_unstemmed On Invariance and Selectivity in Representation Learning
title_short On Invariance and Selectivity in Representation Learning
title_sort on invariance and selectivity in representation learning
topic Invariance
Representation Learning
i-theory
Sensory Cortex
url http://hdl.handle.net/1721.1/100194
work_keys_str_mv AT anselmifabio oninvarianceandselectivityinrepresentationlearning
AT rosascolorenzo oninvarianceandselectivityinrepresentationlearning
AT poggiotomaso oninvarianceandselectivityinrepresentationlearning