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| exec(open('svdvar6.py').read().split('for N in')[0]) | |
| from sklearn.utils.extmath import randomized_svd | |
| dfv=A.filter(pl.col('L')-pl.col('p')<=30).unique(['u','ix']) | |
| M0=sp.csr_matrix((np.ones(dfv.height,np.float32),(dfv['u'].to_numpy(),dfv['ix'].to_numpy())),shape=(LH.height,NI)) | |
| pop=np.asarray(M0.sum(0)).ravel() | |
| def W(V): | |
| x,_=cosf(V); dd=D.with_columns(pl.Series('x',x)); return {c:round(wauc(dd.filter(pl.col('cut')==c),'x'),4) for c in (25,26)} | |
| Ma=M0.multiply(1/np.sqrt(pop+5)).tocsr() | |
| for it in (5,20): | |
| U,S,Vt=randomized_svd(Ma,12,random_state=0,n_iter=it); print('alpha.5 randomized k12 n_iter',it,W((Vt.T*S)[:,1:])) | |
| idf=np.log((LH.height+1)/(pop+1)); Mi=M0@sp.diags(idf); Mi=sp.diags(1/(np.sqrt(np.asarray(Mi.multiply(Mi).sum(1)).ravel())+1e-6))@Mi | |
| for k in (12,16,32): | |
| _,s,vt=svds(Mi.tocsr(),k=k,random_state=0); o=np.argsort(-s); s=s[o]; vt=vt[o] | |
| print('idf+rownorm svds k',k,'keep1',W(vt.T*s),'drop1',W(vt[1:].T*s[1:]), 'unscaled', W(vt.T)) | |
| U,S,Vt=randomized_svd(Mi,64,random_state=0,n_iter=4); print('existing-style: idf+rownorm, rsvd k64 n_iter4, first16 unscaled',W(Vt[:16].T),' first12',W(Vt[:12].T)) | |