The Advaith

Brahma Satyam Jagan Mithya Jeevo Brahmaiva Na Parah

Thursday, June 30, 2005

complexity of KMW aka ZC detection problem

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According to Megiddo's 1984 paper, LP is in linear time if the number of constraints is fixed. So, given a (n+d)*m matrix, it is not cle...
Wednesday, June 29, 2005

maximal independent subspaces

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The main idea of CM-Z is finding maximal independent subspaces (1) without using a LP formulation and (2) in a fast way. The scheduling ma...

happiness: an experience

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How many times when we feel happy do we feel a sadness for the time when all this will go away and yearn for an unending stream of happiness...
Tuesday, June 28, 2005

interests, favorite movies, favorite books

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I removed the following section from the links. -- My interests: Philosophy, Vedanta, Advaita, Theoretical Computer Science, Computational C...
Monday, June 27, 2005

Witness and separating vector computation from CM-Z

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One main feature of CM-Z algorithm is the computation of either a witness vector or a separating vector (are they the same? look for the not...

Prabhavananda's book on the Sermon and additional links

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Originally, al had asked me to suggest some books on advaita. I thought that his main interests were Christianity and so suggested Shri Prab...
Sunday, June 26, 2005

Notes on Cohen-Megiddo and KMW

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Reading Cohen-Megiddo's (CM-Z) paper. Some notes. The paper does not seem to do a KMW-like decomposition. This is why in the DV-KMW pap...
2 comments:
Friday, June 24, 2005

Some notes on KMW and unitary graphs

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Problems to solve on unitary graphs (directed graphs whose edges are annotated by d-dimensional weights each component of which is from the ...
Wednesday, June 22, 2005

Books and some notes

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These are some books Golumbic's book or Shamir's notes Schrijver's any of three books: Schrijver1984, Cook... Schrijver, Schrij...
Tuesday, June 21, 2005

A simple proof for existence of rational schedules

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If total-unimodularity of incidence matrices of digraphs implies max-flow min-cut theorem, why should it not imply integral schedules? Premi...
Monday, June 20, 2005

Network Flow/Network Matrices: some new links

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There is a paper by Goldberg and Rao in Beyond the Flow decomposition barrier . It seems a natural lower bound of O(nm) on the flowproblem d...
Saturday, June 18, 2005

Presence of multi-dimensional schedules in a graph theoretic way

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Suppose we assume that Bx 0 This can be written as two inequalities Bx >= 1 Bx We can search for a vector x that satisfies these constr...

TUMity of gray and degray matrices

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The matrices which are used to convert from a "real" to gray and back again are total-unimodular. What does this mean in a linear ...

Hinduism update

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It seems that Buddhism had the following doctrines which were not that prevalent in Hinduism earlier: significance of ahimsa construction ...
3 comments:
Friday, June 17, 2005

Implications of the TUMity on the SAT problem/search algorithms

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Things, like searching for a cycle etc., can be done in polynomial time when a graph is TUM. What does this mean for a SAT problem? In gener...

The optimal memory tiling problem

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Given a (rectangular???)loop nest, with uniform dependences, further, with all dependences in first orthant (with enough skewing), find a ti...

Dakshinamurty Astakam

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The link on Advaita philosophy seems to be good. Has a good explanation of Dakshinamurthy Astakam and its explanation of Advaita. Donot mis...
1 comment:
Thursday, June 16, 2005

The Unitary graph null weight cycle detection problem

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Problem: Given a matrix B of size (n+d)*m, with each element of B from the set {+1,-1,0}, find a column vector x of size m, with each eleme...
Wednesday, June 15, 2005

Some questions on KMW and TUM matrices

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These are some questions related on KMW and TUM. The uniformization problem of Darte-Vivien: Take a PRDG with possibly non-uniform dependen...
Tuesday, June 14, 2005

Network matrices and total unimodularity

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Reading Schrijver book for TUM. Some notes Bipartite graphs are TUM. Directed graphs are TUM. Max-flow min-cut theorem is a restatement of T...
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