17 research outputs found
Approximation algorithms for stochastic and risk-averse optimization
We present improved approximation algorithms in stochastic optimization. We
prove that the multi-stage stochastic versions of covering integer programs
(such as set cover and vertex cover) admit essentially the same approximation
algorithms as their standard (non-stochastic) counterparts; this improves upon
work of Swamy \& Shmoys which shows an approximability that depends
multiplicatively on the number of stages. We also present approximation
algorithms for facility location and some of its variants in the -stage
recourse model, improving on previous approximation guarantees. We give a
-approximation algorithm in the standard polynomial-scenario model and
an algorithm with an expected per-scenario -approximation guarantee,
which is applicable to the more general black-box distribution model.Comment: Extension of a SODA'07 paper. To appear in SIAM J. Discrete Mat
Additional file 1: of Cell type-specific analysis of transcriptome changes in the porcine endometrium on Day 12 of pregnancy
Table S1. Raw data statistic of RNA-seq (DOCX 15ÃÂ kb
Additional file 2: of Cell type-specific analysis of transcriptome changes in the porcine endometrium on Day 12 of pregnancy
Table S2. Differentially expressed genes in luminal epithelium, glandular epithelium, stroma, and complete tissue. (XLSX 1826ÃÂ kb
Additional file 3: of Cell type-specific analysis of transcriptome changes in the porcine endometrium on Day 12 of pregnancy
Table S3. Selected function found in luminal epithelium, glandular epithelium, stroma, and complete tissue. (XLSX 58ÃÂ kb
Additional file 2 of Small RNA-seq analysis of single porcine blastocysts revealed that maternal estradiol-17beta exposure does not affect miRNA isoform (isomiR) expression
Figure S2. Schema of the Galaxy pipeline: 1) to collapse FastQ file into the sequence and number of appearance ranked by the counts. 2) converts FASTA files into the Galaxy data file type ÃĒÂÂtabularÃĒÂÂ (tab-separated text files). 3) converts dashes in to tabs and 4) extracts selected columns of a given tabular file. 5) joins files by a selected identifier column. (PNG 4714 kb
Additional file 3 of Small RNA-seq analysis of single porcine blastocysts revealed that maternal estradiol-17beta exposure does not affect miRNA isoform (isomiR) expression
Table S1. Filtering details for potential miRNAs. (XLSX 73 kb
Additional file 10 of Small RNA-seq analysis of single porcine blastocysts revealed that maternal estradiol-17beta exposure does not affect miRNA isoform (isomiR) expression
Table S4. EdgeR result of all comparisons on isomiR level. (XLSX 32902 kb
Additional file 5 of Small RNA-seq analysis of single porcine blastocysts revealed that maternal estradiol-17beta exposure does not affect miRNA isoform (isomiR) expression
Figure S3. Library sizes of mapped reads per RNA type. (PNG 617 kb
Additional file 7 of Small RNA-seq analysis of single porcine blastocysts revealed that maternal estradiol-17beta exposure does not affect miRNA isoform (isomiR) expression
Figure S4. Known and novel miRNAs and species annotation - unique sequences and read counts. In the outer ring the mapped unique sequences are shown related to mapped species. The inner cycle represents the corresponding read counts per species. (PNG 468 kb
Additional file 14 of Small RNA-seq analysis of single porcine blastocysts revealed that maternal estradiol-17beta exposure does not affect miRNA isoform (isomiR) expression
Table S8. IsomiR analysis. (XLSX 202 kb