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264 views

What is the meaning of convolution? [closed]

I have read many documents about Convolution in image processing, and most of them say about its formula, some additional parameters. No one explains the intuition ...
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1answer
298 views

Primal vs dual decomposition methods

I noticed that dual decomposition methods tend to be preferred over primal ones in the large scale optimization literature (here are some examples: (1), (2)). The reason seems to be, from what I ...
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1answer
158 views

An intuitive justification - Metric Embedding Based Approximation Algorithms

Recently, I started (independent) learning of the theory of metric embeddings from the Fall 2003 course offered at CMU . I had a very basic question from the very first lecture of this course ...
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5answers
678 views

Why doesn't P=NP imply P=AP (i.e. P=PSPACE)?

It is well known that if $\mathbf{P}=\mathbf{NP}$ then the polynomial hierarchy collapses and $\mathbf{P}=\mathbf{PH}$. This can easily be understood inductively using oracle machines. The question ...
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6answers
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How do you get a “Physical Intuition” for results in TCS?

I'm sorry if this question is a little vague, but I am curious how successful researchers get a "feel" for the results in TCS. For example, linear algebra can be understood geometrically, or in terms ...