### Table 4: Comparison of Two-stage Methods for LDA

"... In PAGE 10: ...5% 1% 8 Conclusion To address the problem of dimension reduction of very high- dimensional or undersampled data, we have compared four seemingly different methods. Our results are summarized in Table4 , where q = rank(A), p = rank(Hm), and the complete orthogonal decomposition is referred to as URV. After showing that both LSI and PCA maximize J2(G) = trace(GT SmG) over all G with GT G = I, we confirmed the preservation of trace(Sw) and trace(Sb) with either method or the computationally simpler QRD.... ..."

### Table 4: Comparison of Two-stage Methods for LDA

"... In PAGE 8: ... 8 Conclusion To address the problem of dimension reduction of very high- dimensional or undersampled data, we have compared four seemingly different methods. Our results are summarized in Table4 , where q = rank(A), p = rank(Hm), and the complete orthogonal decomposition is referred to as URV. After showing that both LSI and PCA maximize J2(G) = trace(GT SmG) over all G with GT G = I, we confirmed the preservation of trace(Sw) and trace(Sb) with either method or the computationally simpler QRD.... ..."

### Table 4: Comparison of Two-stage Methods for LDA

2003

"... In PAGE 11: ...5% 1% 8 Conclusion To address the problem of dimension reduction of very high- dimensional or undersampled data, we have compared four seemingly different methods. Our results are summarized in Table4 , where q = rank(A), p = rank(Hm), and the complete orthogonal decomposition is referred to as URV. After showing that both LSI and PCA maximize J2(G) = trace(GT SmG) over all G with GT G = I, we confirmed the preservation of trace(Sw) and trace(Sb) with either method or the computationally simpler QRD.... ..."

### Table 3: Two-Stage Least-Squares Estimates

"... In PAGE 9: ... We next conduct a 2SLS analysis in which LNDIST, INITIAL, EDU, REF, LPRIV and SPRIV are used as instruments for NEWENT in a first-stage regression, and the fitted value of NEWENT is combined with the remaining variables (IO, DEFENSE and PRICE) in a second- stage growth regression. The estimates we obtain are reported in Table3 . Consider first the NEWENT regression.... In PAGE 9: ... The coefficients on LNDIST and SPRIV are statistically insignificant, but the remaining variables each appear to have a significant relationship with NEWENT, both statistically (at the 5% level) and quantitatively. To characterize quantitative significance, we report the impact on NEWENT of a one-standard-deviation increase in each variable in the last column of Table3 . For example, a one-standard-deviation increase in initial income (representing an 79% increase in the purchasing power of money income per capita in 1993:IV, as reported in the sixth column of Table 3) corresponds with an additional 0.... In PAGE 9: ... To characterize quantitative significance, we report the impact on NEWENT of a one-standard-deviation increase in each variable in the last column of Table 3. For example, a one-standard-deviation increase in initial income (representing an 79% increase in the purchasing power of money income per capita in 1993:IV, as reported in the sixth column of Table3 ) corresponds with an additional 0.549 additional new enterprises per 1000 inhabitants on average across regions.... In PAGE 10: ... A similar observation holds for the reformist voting proxy. The 2SLS estimates reported in Table3 are of course based on identifying restrictions used to select instruments for NEWENT in the first-stage regression. The restrictions involve the exclusion of the variables used as instruments from the second-stage growth regression.... In PAGE 10: ...586), while the quantitative significance of the remaining variables is negligible by comparison. Thus there is reasonable empirical support for the identifying assumptions upon which the results of Table3 are based. We conclude our analysis with an assessment of the influence of the outlier regions.... ..."

### Table 3 Two Stage Regression Estimates

"... In PAGE 12: ... Another set of findings is worth paying special attention to: the results above suggest that developed legal and regulatory framework positively influences industrial growth both through investment and total factor productivity. To put it differently, the fact that after controlling for an estimated rate of investment, coefficients on PRS indicators remain strong (see Table3 ), suggests that institutional quality affects both the amount of investment in the economy as well as the efficiency of resource allocation (at least in the industrial sector). It can be inferred from the regression results that ceteris paribus a one percent increase in per capita industrial value added can be achieved by either a 7.... In PAGE 12: ... (-2.31) (-2.32) (0.86) (3.08) The results are consistent with those reported in Table3 and if contrasted with the latter can hardly be viewed as indicative of multicollinearity. 10 Reported elasticities are based on the sixth specification, i.... ..."

### Table 1: Two-Stage LCGs Statistics

"... In PAGE 6: ... Here after a detailed example of a PRNG in the TSRG family whose randomizer is LCG with modulus 5 and multiplier 3 with initial condition 1 denoted as a164 a11a87a101a18a14a61a165a18a14a22a33a35a24 and adapted Lehmer generator a164 a11a149a166a57a14a100a101a4a24 . Table1 summarizes the results, which imply that 3 is the total average and 2 is the bad initial condition and TSRG period a130 a7a167a11a87a168 a111 a113a54a24a36a108a95a60a49a7a104a33a38a60 .... ..."

### Table 1: Two-Stage LCGs Statistics

"... In PAGE 6: ... Here after a detailed example of a PRNG in the TSRG family whose randomizer is LCG with modulus 5 and multiplier 3 with initial condition 1 denoted as C4B4BHBN BFBN BDB5 and adapted Lehmer generator C4B4BJBN BHB5. Table1 summarizes the results, which imply that 3 is the total average and 2 is the bad initial condition and TSRG period D4 BP B4BI A2 BGB5BPBE BP BDBE.... ..."

### Table 6A: Main regression results (method: two-stage least squares) Equation: 6.1A 6.2A 6.3A 6.4A 6.5A

"... In PAGE 15: ...hether or not the macro variables are included or not (compare 6.1 with 6.2 or 6.3). The most consistently significant explanatory variables are LIQSUP and the two FORBs; GUAR is also consistently significant. Of the regressions in Table6 , 6.2 is a parsimonious one almost achieving the lowest SER.... In PAGE 15: ...2, only modestly supporting the hypothesis that a given degree of regulatory strictness will have higher fiscal costs where the micro-management environment is bad. The policy message from Table6 seems clear enough: open-ended liquidity support, regulatory forbearance and an unlimited depositor guarantee are all significant contributors to the fiscal cost of banking crisis. The role of micro deficiencies is much reinforced by the results of Table 7, which employs the alternative measure RELMIC.... In PAGE 15: ... The significance of the variable REPCAP is problematic in other regressions. The results of Table 8, including Argentina, 1980 and Egypt, are broadly in line with those of Table6 and 7 in terms of significance and size of coefficients, though with a poorer fit. We also experimented with alternative functional forms -- several different 6 But note that no significant effect was found for the two other resolution policies explored, namely a... In PAGE 16: ... This choice of dummies implies that we suppose that these instruments could be correlated with the policies of liquidity support and unlimited guarantees, without being themselves influenced by the size of the crisis (for example, adoption of policies might be influenced by date-specific policy quot;fashions quot;). As shown in Table6 A, two- stage least squares estimates of the main equations using these instruments come out close to the ordinary least squares results. Considering also that a regression of the residuals on these instruments is not significant, this suggests that reverse causality is not a problem for the interpretation of our results.... In PAGE 20: ...Table6 : Main regression results Equation: 6.1 6.... ..."

### Table. 3 Optimization Results of the Two-Stage Method

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### Table 7: Two-stage opamp macromodeling results: gain response

1996

"... In PAGE 21: ... For example, for an opamp such a macromodel would monitor the actual designed voltage gain corresponding to the input voltage gain speci cations. Such a macromodel for a two-stage opamp was developed and is shown in Table7 . In this table the rst column corresponds to the minimum input gain speci cation provided to the synthesis tool.... ..."

Cited by 10