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UNDERSTANDING IMAGE REPRESENTATIONS BY MEASURING THEIR EQUIVARIANCE AND EQUIVALENCE.” BY K. LENC AND A. VEDALDI. CVPR 2015. Presenter: Yuhao Li [email protected] This ppt contains slides from the original presentation by Karel Lenc, Andrea Vedaldi

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Page 1: “ Understanding image representations by …web.cs.ucdavis.edu/~yjlee/teaching/ecs289g-fall2015/rhys...CVPR 2015. Presenter: Yuhao Li rhyslee@rhyslee.com This ppt contains slides

“ UNDERSTANDING IMAGE REPRESENTATIONS BY MEASURING THEIR EQUIVARIANCE AND

EQUIVALENCE.” BY K. LENC AND A. VEDALDI. CVPR 2015.

Presenter: Yuhao Li

[email protected]

This ppt contains slides from the original presentation by Karel Lenc, Andrea Vedaldi

Page 2: “ Understanding image representations by …web.cs.ucdavis.edu/~yjlee/teaching/ecs289g-fall2015/rhys...CVPR 2015. Presenter: Yuhao Li rhyslee@rhyslee.com This ppt contains slides

THREE KEY MATHEMATICAL PROPERTIES OF

REPRESENTATIONS • Equivariance studies how transformations of the

input image are encoded by the representation.

• Invariance is a special case where a transformation has no effect [on the representation].

• Equivalence studies whether two heterogeneous representations capture the same visual information.

Page 3: “ Understanding image representations by …web.cs.ucdavis.edu/~yjlee/teaching/ecs289g-fall2015/rhys...CVPR 2015. Presenter: Yuhao Li rhyslee@rhyslee.com This ppt contains slides
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Page 5: “ Understanding image representations by …web.cs.ucdavis.edu/~yjlee/teaching/ecs289g-fall2015/rhys...CVPR 2015. Presenter: Yuhao Li rhyslee@rhyslee.com This ppt contains slides
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Page 11: “ Understanding image representations by …web.cs.ucdavis.edu/~yjlee/teaching/ecs289g-fall2015/rhys...CVPR 2015. Presenter: Yuhao Li rhyslee@rhyslee.com This ppt contains slides
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THANKS