## Atari results with projection nets

### 10 runs: batch normalization with proj

| | alien | amidar | assualt | asterix | bank heist | battle zone | boxing | breakout | chopper command | crazy climber | demon attack | freeway | frostbite | gopher | hero | jamesbond | kangaroo | krull | kung fu master | ms pacman | pong | private eye | qbert | road runner | seaquest | up n down |
| ----- | ----- | ------ | ------- | ------- | ---------- | ----------- | ------ | -------- | --------------- | ------------- | ------------ | ------- | --------- | ------ | ---- | --------- | -------- | ----- | -------------- | --------- | ---- | ----------- | ----- | ----------- | -------- | --------- |
|run 0 | 692.0 |118.3| 575.4 | 630.0 | 43.0 | 13500.0 | 25.1 | 17.3 | 1170.0 | 15160.0 | 603.0 | 29.7 | 3075.0 | 534.0 | 8096.0 | 295.0 | 760.0 | 2956.0 | 8110.0 | 1136.0 | -9.0 | 0.0 | 1265.0 | 10040.0 | 496.0 | 4024.0 |
|run 1 | 927.0 | 149.4 | 608.9 | 565.0 | 30.0 | 13800.0 | 11.6 | 17.1 | 1120.0 | 11080.0 | 393.5 | 29.8 | 1489.0 | 332.0 | 7556.0 | 230.0 | 2940.0 | 3553.0 | 6020.0 | 1457.0 | 4.4 | 100.0 | 2825.0 | 8450.0 | 436.0 | 4839.0 |
|run 2 | 754.0 | 151.6 | 537.6 | 735.0 | 28.0 | 12400.0 | 8.7 | 4.2 | 940.0 | 12320.0 | 636.0 | 28.7 | 2650.0 | 716.0 | 7924.0 | 270.0 | 3320.0 | 3270.0 | 12870.0 | 1628.0 | -13.9 | 100.0 | 732.5 | 5340.0 | 392.0 | 3355.0 |
|run 3 | 700.0 | 198.0 | 630.9 | 745.0 | 81.0 | 16800.0 | 16.4 | 11.6 | 910.0 | 16220.0 | 438.5 | 31.0 | 2241.0 | 450.0 | 6201.5 | 200.0 | 1790.0 | 3474.0 | 2840.0 | 1121.0 | -14.0 | 100.0 | 1050.0 | 9510.0 | 504.0 | 4572.0 |
|run 4 | 748.0 | 226.5 | 642.0 | 460.0 | 61.0 | 19700.0 | 13.0 | 13.1 | 1100.0 | 16560.0 | 1112.0 | 30.9 | 270.0 | 578.0 | 7650.0 | 895.0 | 4180.0 | 3194.0 | 9810.0 | 1156.0 | -7.0 | 100.0 | 900.0 | 14040.0 | 492.0 | 3618.0 |
|run 5 | 1066.0 | 196.0 | 661.3 | 625.0 | 27.0 | 11500.0 | 6.8 | 8.2 | 1070.0 | 14540.0 | 590.0 | 29.2 | 261.0 | 982.0 | 7526.0 | 310.0 | 1000.0 | 2281.0 | 17880.0 | 1210.0 | 6.9 | 100.0 | 3490.0 | 7340.0 | 458.0 | 3860.0 |
|run 6 | 852.0 | 118.1 | 689.8 | 425.0 | 61.0 | 13800.0 | 11.0 | 9.2 | 620.0 | 9700.0 | 643.5 | 27.3 | 1344.0 | 424.0 | 7414.0 | 215.0 | 1760.0 | 3322.0 | 18100.0 | 1380.0 | -15.0 | 100.0 | 750.0 | 4250.0 | 586.0 | 7635.0 |
|run 7 | 681.0 | 144.9 | 508.2 | 485.0 | 48.0 | 12600.0 | 10.8 | 8.5 | 890.0 | 11200.0 | 946.0 | 31.0 | 2933.0 | 558.0 | 6158.5 | 270.0 | 1580.0 | 2997.0 | 5760.0 | 1225.0 | -8.4 | 100.0 | 1515.0 | 12160.0 | 610.0 | 3003.0 |
|run 8 | 606.0 | 141.9 | 556.5 | 825.0 | 47.0 | 8300.0 | 11.3 | 13.3 | 470.0 | 13770.0 | 612.0 | 28.1 | 1739.0 | 408.0 | 7403.0 | 270.0 | 740.0 | 3002.0 | 7180.0 | 1101.0 | -13.2 | 100.0 | 3545.0 | 9870.0 | 420.0 | 4973.0 |
|run 9 | 2081.0 | 159.1 | 587.9 | 515.0 | 53.0 | 13100.0 | 7.8 | 12.3 | 1080.0 | 12290.0 | 1025.5 | 30.5 | 311.0 | 472.0 | 6953.0 | 250.0 | 600.0 | 3282.0 | 13570.0 | 854.0 | -19.8 | 0.0 | 2082.5 | 4620.0 | 432.0 | 3654.0 |
| mean | 910.7 | 160.38 | 599.85 | 601.0 | 47.9 | 13550.0 | 12.25 | 11.48 | 937.0 | 13284.0 | 700.0 | 29.619999999999997 | 1631.3 | 545.4 | 7288.2 | 320.5 | 1867.0 | 3133.1 | 10214.0 | 1226.8 | -8.9 | 80.0 | 1815.5 | 8562.0 | 482.6 | 4431.0 |
| std | 410.6441403453847 | 33.75597132360436 | 54.39149290100428 | 127.78497564267875 | 16.25699849295681 | 2875.847701113534 | 5.000049999750003 | 3.8718987590070073 | 217.71770713472068 | 2205.6391363956163 | 231.31709837363945 | 1.223764683262268 | 1038.104912809876 | 177.40360762960825 | 625.6556640836875 | 194.23503803382127 | 1164.6806429232006 | 341.464917670908 | 4948.458749954373 | 204.1973555166668 | 7.721987497341012 | 40.0 | 1049.3407454206665 | 3062.1554500057637 | 67.165765089069 | 1295.0909020004906 |
### 10 runs:second

| | alien | amidar | assualt | asterix | bank heist | battle zone | boxing | breakout | chopper command | crazy climber | demon attack | freeway | frostbite | gopher | hero | jamesbond | kangaroo | krull | kung fu master | ms pacman | pong | private eye | qbert | road runner | seaquest | up n down |
| ----- | ----- | ------ | ------- | ------- | ---------- | ----------- | ------ | -------- | --------------- | ------------- | ------------ | ------- | --------- | ------ | ---- | --------- | -------- | ----- | -------------- | --------- | ---- | ----------- | ----- | ----------- | -------- | --------- |
|run 0 | 728.0 |152.5| 621.5 | 555.0 | 67.0 | 11300.0 | 6.7 | 13.7 | 1240.0 | 13340.0 | 554.0 | 30.3 | 560.0 | 736.0 | 7328.0 | 220.0 | 920.0 | 3252.0 | 4950.0 | 1237.0 | -14.7 | 100.0 | 1940.0 | 6530.0 | 332.0 | 3411.0 |
|run 1 | 1105.0 | 146.7 | 583.7 | 575.0 | 82.0 | 9800.0 | 29.0 | 9.3 | 1410.0 | 13010.0 | 621.5 | 29.8 | 630.0 | 468.0 | 7494.0 | 170.0 | 2600.0 | 3301.0 | 21730.0 | 1210.0 | -8.9 | 100.0 | 1105.0 | 11740.0 | 546.0 | 3186.0 |
|run 2 | 770.0 | 152.6 | 575.2 | 855.0 | 57.0 | 13300.0 | 7.4 | 4.9 | 1150.0 | 10340.0 | 423.0 | 30.2 | 957.0 | 734.0 | 7312.0 | 325.0 | 1430.0 | 3010.0 | 9410.0 | 1025.0 | -12.7 | 100.0 | 1947.5 | 9740.0 | 500.0 | 3634.0 |
|run 3 | 1023.0 | 175.3 | 684.5 | 510.0 | 27.0 | 14400.0 | 6.9 | 11.9 | 890.0 | 13590.0 | 603.5 | 30.8 | 1299.0 | 824.0 | 6158.0 | 235.0 | 710.0 | 3918.0 | 5470.0 | 1054.0 | -10.3 | 100.0 | 1292.5 | 4990.0 | 436.0 | 3833.0 |
|run 4 | 1268.0 | 121.0 | 684.5 | 620.0 | 60.0 | 8800.0 | 21.5 | 10.1 | 1110.0 | 12630.0 | 718.0 | 28.9 | 1860.0 | 570.0 | 5809.5 | 290.0 | 340.0 | 2654.0 | 6340.0 | 1190.0 | -6.0 | 100.0 | 762.5 | 5780.0 | 468.0 | 3250.0 |
|run 5 | 1044.0 | 165.2 | 659.4 | 355.0 | 34.0 | 12100.0 | 13.1 | 10.9 | 2410.0 | 12700.0. | 572.5 | 29.7 | 251.0 | 482.0 | 7911.5 | 275.0 | 800.0 | 2975.0 | 3220.0 | 824.0 | -8.7 | 100.0 | 1642.5 | 2230.0 | 472.0 | 3771.0 |
|run 6 | 655.0 | 93.2 | 610.3 | 445.0 | 37.0 | 15500.0 | 26.2 | 10.3 | 1050.0 | 14500.0 | 833.0 | 30.0 | 2278.0 | 428.0 | 4658.5 | 260.0 | 3780.0 | 3469.0 | 5170.0 | 1245.0 | -11.3 | 100.0 | 2377.5 | 4940.0 | 354.0 | 3652.0 |
|run 7 | 777.0 | 170.3 | 653.0 | 515.0 | 36.0 | 10400.0 | 18.6 | 8.8 | 1100.0 | 14090.0 | 607.0 | 31.2 | 268.0 | 618.0 | 7459.0 | 230.0 | 1200.0 | 3259.0 | 4640.0 | 1337.0 | -12.7 | 100.0 | 2062.5 | 3680.0 | 402.0 | 3572.0 |
|run 8 | 931.0 | 158.8 | 650.9 | 485.0 | 54.0 | 7900.0 | 38.9 | 10.6 | 930.0 | 18110.0 | 588.0 | 29.8 | 1475.0 | 438.0 | 7489.0 | 280.0 | 800.0 | 2772.0 | 18400.0 | 1246.0 | 7| 100.0 | 1852.5 | 3020.0 | 490.0 | 3554.0 |
|run 9 | 1096.0 | 116.2 | 541.8 | 445.0 | 45.0 | 10700.0 | 8.3 | 10.2 | 820.0 | 13400.0 | 612.5 | 29.9 | 1406.0 | 740.0 | 10625.5 | 255.0 | 1310.0 | 3484.0 | 9530.0 | 936.0 | -12.3 | 100.0 | 867.5 | 8430.0 | 414.0 | 2398.0 |
| mean | 939.7 | 145.18 | 626.48 | 536.0 | 49.9 | 11420.0 | 17.66 | 10.07 | 1211.0 | 13571.0 | 613.3 | 30.06 | 1098.4 | 603.8 | 7224.5 | 254.0 | 1389.0 | 3209.4 | 8886.0 | 1130.4 | -9.06 | 100.0 | 1585.0 | 6108.0 | 441.4 | 3426.1 |
| std | 189.3589448639805 | 25.222838856877313 | 45.86183162500163 | 127.96093153771584 | 16.287725439729144 | 2301.6515809305283 | 10.572908776680142 | 2.156409052104911 | 431.86687763707926 | 1849.7591735142173 | 100.73187181820856 | 0.5969924622639722 | 646.9230557029174 | 139.45737700100344 | 1482.522259529347 | 40.792156108742276 | 985.0020304547601 | 353.8457856185375 | 5947.7545342759395 | 154.61254800306475 | 5.854946626571416 | 0.0 | 519.1940870233404 | 2892.6140426956376 | 63.49834643516318 | 395.2592693410238 |