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(1)
(2)
(3)

Bags, Graphs, and Dissimilarity-based

Classification

Marco Loog

Delft University of Technology University of Copenhagen

(4)

Joint Work With

Robert P.W. Duin Wan-Jui Lee

Veronika Cheplygina David Tax

Lauge Sørensen

(5)
(6)

Multiple Instance Learning

Multiset classification, bag of words,

&c.

C : f → ℓ, f ∈ R

d

C : { f

1

. . . f

n

} → ℓ

(7)

MIL, How to

Extend standard classifiers

E.g. combining classifiers / fusion

Completely new approaches

Sells better…

Dissimilarity-based classification

(8)

Dissimilarity Approach

Objects not described by feature

vectors but by dissimilarities to other objects

 

d

1,1

. . . d

1,N

.. . . .. .. .

d

N,1

. . . d

N,N

 

 

ℓ

1

.. . ℓ

N

 

(9)

Note

(10)

E.g.

(11)

Dissimilarities & MIL

(12)
(13)

Dissimilarities & MIL

(14)

How to Combine?

Weighted dissimilarities

Attributed graph matching

Graph edit distance

Limits : Pure MIL and pure structural recognition

αD

G

+ (1 − α ) D

B

(15)

Obviously…

(16)

E.g. Coil

(17)

Edit Distance

(18)

E.g. Molecules

(19)

Edit Distance

(20)

Shortest Path Kernel

(21)

Conclusion?

(22)

Referencer

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