Complete result settings for NLTCS dataset (table columns are sortable)
The experiments are described in Rooshenas and Lowd, Discriminative Structure Learning of Arithmetic Circuits, AIStats 16
| Split Penalty | Standard Deviation | L1 Penalty | Initial Evidence | Train CLL | Validation CLL | Test CLL | Node# | Edge# | Feature# | Learning Time |
| 5 | 0.5 | 2 | 8 | -2.779265 | -2.696851 | -2.776125 | 1117 | 2449 | 280 | 17.307368 |
| 5 | 0.5 | 1 | 8 | -2.777351 | -2.697695 | -2.776709 | 1045 | 2079 | 280 | 17.288371 |
| 5 | 0.5 | 0.1 | 8 | -2.778111 | -2.699864 | -2.776752 | 1133 | 2448 | 284 | 18.012261 |
| 5 | 0.5 | 0.5 | 8 | -2.775661 | -2.698945 | -2.772773 | 1012 | 1966 | 290 | 19.266070 |
| 5 | 0.5 | 0.5 | 1 | -2.779974 | -2.706102 | -2.782605 | 1777 | 3467 | 368 | 38.869090 |
| 5 | 0.5 | 2 | 1 | -2.779705 | -2.705553 | -2.785201 | 1560 | 2901 | 360 | 41.128747 |
| 2 | 0.5 | 2 | 8 | -2.765300 | -2.694336 | -2.774333 | 1661 | 3367 | 426 | 43.286419 |
| 5 | 0.5 | 1 | 1 | -2.778135 | -2.706818 | -2.779583 | 1748 | 3341 | 368 | 41.577678 |
| 5 | 0.5 | 0.1 | 1 | -2.776737 | -2.705491 | -2.781037 | 1718 | 3276 | 374 | 42.122595 |
| 2 | 0.5 | 0.1 | 8 | -2.761456 | -2.694787 | -2.771247 | 2090 | 4822 | 462 | 50.024395 |
| 2 | 0.5 | 0.5 | 8 | -2.762236 | -2.696362 | -2.771006 | 2058 | 4720 | 442 | 51.458176 |
| 2 | 0.5 | 1 | 8 | -2.765199 | -2.698666 | -2.771860 | 2072 | 4763 | 440 | 59.167005 |
| 2 | 0.5 | 2 | 1 | -2.768015 | -2.699154 | -2.777804 | 2974 | 5938 | 538 | 95.945413 |
| 2 | 0.5 | 0.5 | 1 | -2.765368 | -2.699645 | -2.772477 | 3415 | 6699 | 636 | 133.810656 |
| 2 | 0.5 | 0.1 | 1 | -2.762591 | -2.696486 | -2.780496 | 3427 | 6664 | 670 | 138.368964 |
| 2 | 0.5 | 1 | 1 | -2.765684 | -2.705360 | -2.780862 | 3281 | 6346 | 696 | 150.818071 |
| 5 | 0.1 | 1 | 8 | -2.778095 | -2.700416 | -2.774902 | 994 | 1941 | 278 | 14.256832 |
| 5 | 0.1 | 2 | 8 | -2.779726 | -2.698846 | -2.779445 | 1069 | 2153 | 276 | 15.003718 |
| 5 | 0.1 | 0.5 | 8 | -2.776535 | -2.697358 | -2.773806 | 1039 | 2072 | 284 | 14.532789 |
| 5 | 0.1 | 2 | 5 | -2.781359 | -2.698326 | -2.778967 | 1125 | 2315 | 260 | 14.674768 |
| 5 | 0.1 | 0.5 | 5 | -2.779010 | -2.700973 | -2.776777 | 1303 | 2930 | 270 | 15.223685 |
| 5 | 0.1 | 1 | 5 | -2.779588 | -2.701384 | -2.775938 | 1371 | 3243 | 270 | 17.210383 |
| 5 | 0.5 | 2 | 8 | -2.779265 | -2.696851 | -2.776125 | 1117 | 2449 | 280 | 14.579782 |
| 5 | 0.5 | 1 | 8 | -2.777351 | -2.697695 | -2.776709 | 1045 | 2079 | 280 | 14.527790 |
| 5 | 0.5 | 0.1 | 8 | -2.778111 | -2.699864 | -2.776752 | 1133 | 2448 | 284 | 14.631774 |
| 5 | 0.5 | 0.5 | 8 | -2.775661 | -2.698945 | -2.772773 | 1012 | 1966 | 290 | 15.528638 |
| 5 | 0.1 | 0.1 | 8 | -2.776230 | -2.697636 | -2.774045 | 1105 | 2345 | 286 | 16.272525 |
| 5 | 0.5 | 1 | 5 | -2.776919 | -2.693908 | -2.771160 | 1351 | 3024 | 284 | 16.213534 |
| 5 | 0.1 | 0.1 | 5 | -2.778641 | -2.700760 | -2.776300 | 1489 | 3518 | 272 | 16.639469 |
| 5 | 0.5 | 2 | 5 | -2.778853 | -2.694475 | -2.774896 | 1512 | 3621 | 278 | 17.702308 |
| 5 | 0.5 | 0.1 | 5 | -2.777999 | -2.701282 | -2.776407 | 1483 | 3535 | 272 | 17.546331 |
| 5 | 0.5 | 0.5 | 5 | -2.776032 | -2.697529 | -2.774107 | 1475 | 3349 | 286 | 17.955269 |
| 5 | 0.1 | 1 | 1 | -2.779111 | -2.707469 | -2.782788 | 1669 | 3208 | 348 | 30.081426 |
| 2 | 0.1 | 2 | 5 | -2.769528 | -2.688538 | -2.772773 | 1447 | 2735 | 394 | 31.751173 |
| 5 | 0.1 | 0.1 | 1 | -2.781956 | -2.716061 | -2.785997 | 1668 | 3191 | 360 | 30.460368 |
| 5 | 0.1 | 0.5 | 1 | -2.780033 | -2.710969 | -2.782518 | 1647 | 3127 | 368 | 32.607042 |
| 5 | 0.1 | 2 | 1 | -2.779285 | -2.701305 | -2.780647 | 1646 | 3158 | 336 | 33.112965 |
| 2 | 0.1 | 1 | 8 | -2.766813 | -2.693218 | -2.774162 | 1687 | 3587 | 394 | 34.720721 |
| 2 | 0.5 | 2 | 5 | -2.767308 | -2.696493 | -2.776498 | 1879 | 4355 | 396 | 34.019827 |
| 2 | 0.1 | 1 | 5 | -2.765459 | -2.691766 | -2.769036 | 1910 | 4082 | 422 | 35.030674 |
| 2 | 0.5 | 2 | 8 | -2.765300 | -2.694336 | -2.774333 | 1661 | 3367 | 426 | 38.163197 |
| 2 | 0.1 | 0.1 | 8 | -2.766806 | -2.691786 | -2.770552 | 1617 | 3254 | 424 | 38.542140 |
| 2 | 0.1 | 0.5 | 5 | -2.765822 | -2.690357 | -2.772309 | 2183 | 4670 | 430 | 38.262182 |
| 2 | 0.5 | 1 | 5 | -2.765495 | -2.694644 | -2.773108 | 2023 | 4644 | 418 | 38.561137 |
| 2 | 0.5 | 0.1 | 5 | -2.764457 | -2.695109 | -2.775536 | 1704 | 3514 | 440 | 39.748957 |
| 2 | 0.1 | 0.5 | 8 | -2.764790 | -2.692213 | -2.770367 | 2146 | 4878 | 424 | 39.848941 |
| 2 | 0.5 | 0.5 | 8 | -2.762236 | -2.696362 | -2.771006 | 2058 | 4720 | 442 | 39.960924 |
| 2 | 0.1 | 2 | 8 | -2.766178 | -2.690720 | -2.774551 | 2278 | 5731 | 424 | 40.611825 |
| 5 | 0.5 | 2 | 1 | -2.779705 | -2.705553 | -2.785201 | 1560 | 2901 | 360 | 30.044432 |
| 2 | 0.1 | 0.1 | 5 | -2.763692 | -2.687083 | -2.769862 | 1862 | 3733 | 450 | 41.162742 |
| 5 | 0.5 | 0.5 | 1 | -2.779974 | -2.706102 | -2.782605 | 1777 | 3467 | 368 | 30.216405 |
| 2 | 0.5 | 0.1 | 8 | -2.761456 | -2.694787 | -2.771247 | 2090 | 4822 | 462 | 41.507689 |
| 2 | 0.5 | 1 | 8 | -2.765199 | -2.698666 | -2.771860 | 2072 | 4763 | 440 | 42.284571 |
| 5 | 0.5 | 1 | 1 | -2.778135 | -2.706818 | -2.779583 | 1748 | 3341 | 368 | 32.409072 |
| 5 | 0.5 | 0.1 | 1 | -2.776737 | -2.705491 | -2.781037 | 1718 | 3276 | 374 | 31.909149 |
| 2 | 0.5 | 0.5 | 5 | -2.763378 | -2.692560 | -2.774111 | 2245 | 5021 | 452 | 42.363558 |
| 2 | 0.1 | 1 | 1 | -2.769508 | -2.702853 | -2.777193 | 2623 | 5132 | 556 | 67.919674 |
| 2 | 0.1 | 2 | 1 | -2.773252 | -2.700332 | -2.774964 | 2614 | 5124 | 542 | 70.777239 |
| 2 | 0.5 | 2 | 1 | -2.768015 | -2.699154 | -2.777804 | 2974 | 5938 | 538 | 73.566815 |
| 2 | 0.1 | 0.5 | 1 | -2.770485 | -2.699616 | -2.775633 | 2720 | 5308 | 562 | 75.129577 |
| 2 | 0.1 | 0.1 | 1 | -2.768439 | -2.698846 | -2.777562 | 2771 | 5256 | 608 | 83.398320 |
| 2 | 0.5 | 0.1 | 1 | -2.762591 | -2.696486 | -2.780496 | 3427 | 6664 | 670 | 88.661520 |
| 2 | 0.5 | 0.5 | 1 | -2.765368 | -2.699645 | -2.772477 | 3415 | 6699 | 636 | 90.168291 |
| 2 | 0.5 | 1 | 1 | -2.765684 | -2.705360 | -2.780862 | 3281 | 6346 | 696 | 99.202918 |