Methods for classication trevor hastie and rob

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 504791 212542 365826 204545 308163 21652 486110 tissue plasminogen activator quinone oxidoreductase homolog insulin-like growth factor 2 insulin-like growth factor 2 (somatomedin A) homolog of mouse mesoderm specific transcript fibroblast growth factor receptor 4 sarcoglycan alpha (dystrophin-associated glycoprotein) EST presenilin 2 (Alzheimer disease 4) troponin T2, cardiac muscle isoforms myosin MYL4 troponin T1, slow skeletal muscle isoforms L-arginine:glycine amidinotransferase neurofibromin 2 (mutated in neurofibromatosis type 2) farnesyl-diphosphate farnesyltransferase 1 growth associated protein 43 (GAP43) N-cadherin (neuronal) ALL1-fused gene from chromosome 1q meningioma 1 (disrupted in balanced translocation) cold shock domain protein A neuroblastoma protein (NOE1) Fas-associated protein tyrosine phosphatase 1 follicular lymphoma variant translocation protein 1 glycogenin 2 tumor necrosis factor alpha-induced protein 6 MIC2 surface antigen (CD99) IgG Fc fragment receptor transporter, alpha chain caveolin 1 (caveolae protein) transducin-like enhancer of split 2 EST E74-like factor 1 (ets domain transcription factor) major histocompatibility complex, class II, DQ alpha 1 major histocompatibility complex, class II, DM alpha insulin-like growth factor binding protein 2 receptor type protein tyrosine phosphatase F antiquitin 1 glutathione S-transferase A4 cDNA DKFZp586J2118 growth arrest-specific protein 1 EST EST alpha 1 catenin (cadherin-associated protein) profilin 2 29 ESL Chapter 4 — Linear Methods for Classification Trevor Hastie and Rob Tibshirani Heatmap of selected genes BL EWS NB RMS 813841 859359 207274 296448 898219 784224 796258 244618 789253 298062 461425 1409509 42558 769716 25725 44563 325182 812105 41591 810057 52076 866702 814260 43733 357031 1435862 770394 377461 1473131 295985 241412 80109 183337 233721 897788 563673 504791 212542 365826 204545 308163 21652 486110 30 ESL Chapter 4 — Linear Methods for Classification Trevor Hastie and Rob Tibshirani Reduced rank LDA Computations for LDA ˆ • let Σ = U DU T (eigendecomposition of “within” covariance matrix) ˆ • let x∗ = D −1/2 U T x = Σ−1/2 x ˆ ˆ • µ∗ = Σ−1/2 µk ˆk ˆ • LDA: δk (x) = (1/2)||x∗ − µ∗ ||2 − log πk (closest centroid in ˆk sphered space, with a correction for class size) • hence if p > K − 1, can project data onto K − 1 dim space...
View Full Document

This document was uploaded on 03/10/2014 for the course STATS 315A at Stanford.

Ask a homework question - tutors are online