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Re: Singular Value Decomposition does not return correct eigenvalues and -vectors - Mahout - [mail # user]
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...Markus, ok, use of p=0 is enabled on the trunk, verified and committed. On Fri, Sep 23, 2011 at 4:42 PM, Dmitriy Lyubimov wrote:...
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Author: Dmitriy Lyubimov,
2011-09-24, 00:29
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Re: Singular Value Decomposition does not return correct eigenvalues and -vectors - Mahout - [mail # user]
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...as far as i understand, Mahout's Lanczos is to deal with larger inputs. You can also try mahout ssvd with -k=3, -p=0, i am pretty sure you will get exact results for a 3x3 matrix :) &n...
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Author: Dmitriy Lyubimov,
2011-09-23, 02:28
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Re: eigendecomposition of very large matrices - Mahout - [mail # user]
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...See http://en.wikipedia.org/wiki/Singular_value_decomposition, "relation to eigenvalue decomposition". Depending on what you consider source for the eigendecompostion, AA' or A...
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Author: Dmitriy Lyubimov,
2012-07-26, 20:17
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Re: Experience with Mahout - Mahout - [mail # dev]
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... algorithms that require to split matrix into vertical blocks of some minimum size. E.g. SSVD requires to be able to form vertical blocks of at least k rows high where k (decomposition rank...
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Author: Dmitriy Lyubimov,
2013-05-16, 17:12
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Re: SSVD for dimensional reduction + Kmeans - Mahout - [mail # user]
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...Reading "overview and usage" doc linked on that page https://cwiki.apache.org/confluence/display/MAHOUT/Stochastic+Singular+Value+Decomposition should help to clarify outputs and usage...
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Author: Dmitriy Lyubimov,
2012-08-09, 23:47
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Re: clusterpp is only writing directories for about half of my clusters. - Mahout - [mail # user]
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... use that in your prototype too if you want to make sure you have very similar stochasticity effects, see "R simulation" paragraph here https://cwiki.apache.org/confluence/display/MAHOUT/Stochastic+Singular+Value+Decomposition...
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Author: Dmitriy Lyubimov,
2012-10-22, 18:35
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[MAHOUT-797] MapReduce SSVD: provide alternative B-pipeline per B=R' ^{-1} Y'A - Mahout - [issue]
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...Since alternative flow using Cholesky decomposition is extremely easy to add to existing computations of BB', I am thinking of just adding an option that chooses between B-pipeline with QR...
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http://issues.apache.org/jira/browse/MAHOUT-797
Author: Dmitriy Lyubimov,
2012-02-11, 01:33
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Re: SSVD for dimensional reduction + Kmeans - Mahout - [mail # user]
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...I guess there's one more clarification that might be useful. SSVD in fact creates a decomposition of (k+p) rank where p is called "oversampling" to capture more plausible dimensions...
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Author: Dmitriy Lyubimov,
2012-08-10, 18:22
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Re: eigendecomposition of very large matrices - Mahout - [mail # user]
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...you may try SSVD. https://cwiki.apache.org/confluence/display/MAHOUT/Stochastic+Singular+Value+Decomposition but 4k eigenvectors (or, rather, singular values) is kind of still a lot though...
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Author: Dmitriy Lyubimov,
2012-07-20, 01:20
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Re: ALS-WR and reg rate discussion - Mahout - [mail # dev]
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...OK, yet another crazy idea of mine. Generally, we we coerce to classical SVD form with singular values, then Tikhonov regularization can be probably optimized post-decomposition. Indeed...
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... of smoothiness on hold out data after decomposition is done, perhaps even cross-fold. but we don't have to rerun it again and again. Finally, a hack for ALS-WR is enclosed too, but in this case...
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Author: Dmitriy Lyubimov,
2011-12-17, 13:31
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