zhengruifeng commented on pull request #31657:
URL: https://github.com/apache/spark/pull/31657#issuecomment-786405671


   log for second commit (LBFGS with unit std vec):
   ```
   [info] LogisticRegressionSuite:
   featuresMean: [0.4999142959117828,1.4847274177074965]
   featuresStd: [0.28501348037270735,0.28375633081273305]
   optimizer: breeze.optimize.LBFGS@624d4b69
   initialCoefWithInterceptMatrix 0.0  0.0  -3.548107045716773  
   gradient: [-6.57041694534459E-4,-4.370107454830405E-4,3.625153510711243E-16]
   solution: 0.0,0.0,-3.548107045716773
   gradient: [0.037486046426067406,0.09987861275241,0.06507239621227094]
   gradient: [0.0013405594990216123,0.005019022157632213,0.0035834830790336973]
   gradient: [-3.210682348387613E-4,4.8377771610451234E-4,6.054237842405305E-4]
   solution: 0.014805700695282229,0.009847549024766982,-3.548107045716781
   gradient: [-3.0439342146747623E-4,4.583018612212477E-4,5.881840414461824E-4]
   gradient: [-2.960154039993151E-4,4.457188384476876E-4,5.796684709803373E-4]
   gradient: [-2.8339754836559654E-4,4.270376956658465E-4,5.670253289058287E-4]
   gradient: [-2.643562412798169E-4,3.9945054731613526E-4,5.483532130856691E-4]
   solution: 0.05271369323095594,0.010180670435029071,-3.5697082151460187
   gradient: [1.1037417136010827E-4,-8.7704283467311E-6,2.1570716372172727E-4]
   solution: 0.2971472561219698,0.05005170605291687,-3.76653674223476
   gradient: [8.037837845700428E-5,-1.0875323550967706E-4,8.098851723631143E-5]
   solution: 0.3156740085496769,0.0960039248572748,-3.849640027204097
   gradient: [1.2475582765711754E-5,-6.506116783877217E-5,-3.145661083981624E-5]
   solution: 0.3120252467428481,0.19284879886445705,-3.9967027342507913
   gradient: [-9.952686706791347E-8,-3.7266622659746237E-6,-2.48899982200976E-6]
   solution: 0.29943354035110287,0.20097832760243223,-4.0012388018408505
   gradient: 
[-3.116152416004958E-8,-9.911977248879821E-8,-1.0046797058538637E-7]
   solution: 0.29889640759752595,0.2009961607263976,-4.000896894654767
   gradient: [-2.5794348819250245E-9,-2.807803823943189E-9,-3.89839012736548E-9]
   solution: 0.2988863273085957,0.2009739013083474,-4.000854686053599
   Just the blr data
   Coefficients: [0.2988863273085957,0.2009739013083474]
   Intercept: -4.000854686053599
   objectives: 
0.12762747240529596,0.1276204351259814,0.12759702629942907,0.12751125093754292,0.1274979961754713,0.12748578824275672,0.12748550756610177,0.12748550712444337,0.12748550712354415
   featuresMean: [0.4999142959117828,1.4847274177074965,0.9899999976158129]
   featuresStd: [0.28501348037270735,0.28375633081273305,0.03000002215257344]
   optimizer: breeze.optimize.LBFGS@3af3aac9
   initialCoefWithInterceptMatrix 0.0  0.0  0.0  -3.548107045716773  
   gradient: 
[-6.57041694534459E-4,-4.370107454830405E-4,-1.3400003191621544E-6,3.625153510711243E-16]
   solution: 0.0,0.0,0.0,-3.548107045716773
   gradient: 
[0.0375640994399445,0.10009275463877076,0.06456907958057753,0.06521326011205325]
   gradient: 
[0.0013431585739733982,0.005026663543417702,0.0035517611882163154,0.003588615786464317]
   gradient: 
[-3.215209510861858E-4,4.8263111134848026E-4,5.973629602699559E-4,6.046895719797653E-4]
   solution: 
0.01476791598861038,0.009822417708188631,3.0118350635448057E-5,-3.548107045716781
   gradient: 
[-3.0478851559377266E-4,4.57239850921697E-4,5.772211350909403E-4,5.84407120749076E-4]
   gradient: 
[-2.963752657802199E-4,4.4472367632075234E-4,5.672715430191644E-4,5.743885213481228E-4]
   gradient: 
[-2.836965233322361E-4,4.261734557453568E-4,5.524985845169208E-4,5.595136829010668E-4]
   gradient: 
[-2.6454577178281114E-4,3.988515626222023E-4,5.306793422089565E-4,5.375452880291062E-4]
   solution: 
0.05511550800937802,0.01710393453944099,-0.016677593371711107,-3.5650843362532716
   gradient: 
[1.122620493222393E-4,1.69351977375603E-5,1.5461916575593314E-4,1.5985737926524723E-4]
   solution: 
0.3117402674013613,0.09950259002347643,-0.15018496930807412,-3.701229449303286
   gradient: 
[5.7819864364046636E-5,-7.931161977957402E-5,3.052582029483142E-5,3.539355570733648E-5]
   solution: 
0.3168790579367132,0.1403905504150381,-0.183731576240573,-3.7363532715032655
   gradient: 
[1.4743302769282955E-6,-4.000320616425612E-5,-2.574634225776826E-5,-2.0316982900646382E-5]
   solution: 
0.3048717507346099,0.19644631102165389,-0.22246194509495965,-3.7777168113808957
   gradient: 
[-2.5616048474991257E-7,-2.372110642287623E-6,-4.559378512450379E-6,1.0723439402145586E-6]
   solution: 
0.2990006716083257,0.19896032820137124,-0.22049520055803037,-3.779576550575493
   gradient: 
[-1.072006751766814E-7,3.9679441851170695E-6,-5.737911080290558E-7,5.084563288675078E-6]
   solution: 
0.29811334334195977,0.19910403616747102,-0.21973735720023457,-3.7799308768290003
   gradient: 
[3.618859048673073E-8,8.206222113082688E-6,2.13322674141024E-6,7.79891010998962E-6]
   solution: 
0.297531502541459,0.19917841684840484,-0.21879905742916328,-3.780567305589414
   gradient: 
[3.6852929213999983E-7,1.7741352737281727E-5,8.249230339804676E-6,1.3897083500686726E-5]
   solution: 
0.29622627778017097,0.1993527398955799,-0.2153077894880589,-3.7833783254400823
   gradient: 
[8.254793243916722E-7,3.071202613148222E-5,1.6615489032990666E-5,2.21559308999365E-5]
   solution: 
0.29445516565452834,0.19961774108021677,-0.20721805867900145,-3.7905545792375985
   gradient: 
[1.5080967889392268E-6,4.977822599483974E-5,2.9035602520753182E-5,3.419577850491083E-5]
   solution: 
0.29186249825145566,0.20008357593356302,-0.18638360403308213,-3.8100801690608113
   gradient: 
[-2.139171072656502E-6,5.9997546816326555E-5,3.601975366950968E-5,4.0150239634130885E-5]
   solution: 
0.2886944694406605,0.20069510694788137,-0.14160520321069647,-3.853450857476339
   gradient: 
[3.123679943973452E-4,7.907503811127178E-4,5.128227009677784E-4,5.177968792483155E-4]
   gradient: 
[2.8981152652879608E-5,1.3236434987216522E-4,8.32425434606449E-5,8.745638600883705E-5]
   gradient: 
[1.3600885471268874E-5,9.660091385737042E-5,5.9905328147155285E-5,6.407797059835396E-5]
   solution: 
0.29015461068533377,0.2010356194419702,-0.13381092420066193,-3.861560850089791
   gradient: 
[5.091219156568055E-6,7.989698985274619E-5,4.981018678515008E-5,5.2140942545909776E-5]
   solution: 
0.2889644212440831,0.20163892576562398,-0.06356777616471686,-3.9318202217639624
   gradient: 
[-1.638896583274934E-6,3.747714583515104E-5,2.3651306704564094E-5,2.4007865486593508E-5]
   solution: 
0.2924268470215754,0.20161472261417557,0.004930175160276287,-4.002439055205999
   gradient: 
[-1.8578618848861786E-6,6.817288074784309E-6,4.483800044275091E-6,4.259816139215184E-6]
   solution: 
0.29698477338513346,0.20117557716679002,0.019736460334381693,-4.019546524444534
   gradient: 
[-4.219129886512096E-7,-3.681974822385454E-7,-1.0021405022092011E-7,-1.8844565476086215E-7]
   solution: 
0.2987125076693035,0.20094278788708111,0.011979589384142555,-4.012584276406878
   gradient: 
[-1.0284521554295267E-8,-2.1540999252404E-7,-4.0695946408031426E-8,-4.998402444867711E-8]
   solution: 
0.2988739578020278,0.20091572751874073,0.008760941746385165,-4.009436371951801
   gradient: 
[-1.2109268655921212E-8,3.9794101315701264E-8,-2.381728513298409E-8,-2.3388013236742997E-8]
   solution: 
0.298868144564205,0.20101389459979044,0.008381706578824933,-4.009204134794202
   blr data plus one vector that is filled with 1's and .9's
   Coefficients: [0.298868144564205,0.20101389459979044,0.008381706578824933]
   Intercept: -4.009204134794202
   objectives: 
0.12762747240529596,0.12762045312494819,0.1275927219403859,0.12749768996089272,0.12749032155264528,0.1274862204790816,0.12748615171112732,0.12748614895106744,0.1274861460563986,0.12748613568361433,0.12748611225740603,0.1274860533859962,0.12748593227948832,0.1274859184947711,0.12748573132604268,0.12748556318255125,0.12748551199276867,0.1274855064445357,0.12748550626898617,0.12748550626422303
   
   
   
   ```


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