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Structured Support
Vector Machine
Hung-yi Lee
Structured Learning
• We need a more powerful function f
• Input and output are both objects with
structures
• Object: sequence, list, tree, bounding box …
f : X Y
X is the space of Y is the space of
one kind of object another kind of object
Unified Framework
Step 1: Training
• Find a function F
F : X Y R
• F(x,y): evaluate how compatible the
objects x and y is
Step 2: Inference (Testing)
• Given an object x
~
y arg max F x , y
y Y
Three Problems
Problem 1: Evaluation
• What does F(x,y) look like?
Problem 2: Inference
• How to solve the “arg max” problem
y arg max F x , y
y Y
Problem 3: Training
• Given training data, how to find F(x,y)
Example Task: Object Detection
Example Task
Keep in mind that what you will learn
today can be applied to other tasks.
Source of image:
/viewdoc/download?doi=95.6007rep=rep1type=pdf
http://www.vision.ee.ethz.ch/~hpedemo/gallery.php
Problem 1: Evaluation
• F(x,y) is linear
→ →
= ∙
Open question: What if F(x,y) is not linear?
Problem 2: Inference
= argmax∙(,)
∈
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