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Tests atternative to higher criticism for high dimensional means under sparsity and column-wise dependence
Large deviation Large p, small n Optimal detection boundary Sparse signal Thresholding Weak dependence
2016/1/20
We consider two alternative tests to the Higher Criticism test of Donoho and Jin (2004) for high dimensional means under the spar-sity of the non-zero means for sub-Gaussian distributed data with unkn...
Linear NDCG is used for measuring the performance of the Web content quality assessment in ECML/PKDD Discovery Challenge 2010. In this paper, we will prove that the DCG error equals a new pair-wise lo...
The question of aggregating pairwise comparisons to obtain a global ranking over a collection of objects has been of interest for a very long time: be it ranking of online gamers (e.g. MSR's TrueSkill...
Exact block-wise optimization in group lasso for linear regression
Block coordinate descent convex optimization group LASSO sparse group LASSO
2010/10/19
The group lasso is a penalized regression method, used in regression problems where the covariates are partitioned into groups to promote sparsity at the group level. Existing methods for finding the ...
Random walks with k-wise independent increments
Random walk pseudo-randomness quasi-randomness pairwise independence
2009/4/22
We construct examples of a random walk with pairwise-independent steps which is almost surely bounded, and for any m and k a random walk with k-wise independent steps which has no stationary distribut...
We construct examples of a random walk with pairwise-independent steps which is almost surely bounded, and for any m and k a random walk with k-wise independent steps which has no stationary distribut...
Markov basis and Groebner basis of Segre-Veronese configuration for testing independence in group-wise selections
contingency table diplotype exact tests haplotype Hardy-Weinberg model Markov chain Monte Carlo National Center Test
2010/4/27
We consider testing independence in group-wise selections with
some restrictions on combinations of choices. We present models for frequency
data of selections for which it is easy to perform condit...
In this note we prove a large deviation bound on the sum of random variables with the
following dependency structure: there is a dependency graph G with a bounded chromatic
number, in which each ver...