{ "threshold_fits": [ { "slope": 0.9527132970241874, "intercept": -3.943616071428565, "r2": 0.986975515125636, "n": 7, "method": "full-batch", "act": "quad", "target": 0.1 }, { "slope": 0.877001863524203, "intercept": -2.4285148809523847, "r2": 0.9772462477480446, "n": 8, "method": "full-batch", "act": "quad", "target": 0.2 }, { "slope": 0.8022329049095601, "intercept": -1.0715282738095258, "r2": 0.9878001677891762, "n": 8, "method": "full-batch", "act": "quad", "target": 0.3 }, { "slope": 0.665028742159303, "intercept": 0.7259940476190465, "r2": 0.9646485306641756, "n": 8, "method": "full-batch", "act": "quad", "target": 0.4 }, { "slope": 0.6531522704834135, "intercept": 2.000886904761902, "r2": 0.9896795506325389, "n": 8, "method": "full-batch", "act": "quad", "target": 0.5 }, { "slope": 0.45847431466821814, "intercept": -1.0529508928571414, "r2": 0.9053766929215029, "n": 7, "method": "full-batch", "act": "trunc", "target": 0.1 }, { "slope": 0.3100184187195993, "intercept": 0.4032187500000013, "r2": 0.8677313792301419, "n": 7, "method": "full-batch", "act": "trunc", "target": 0.2 }, { "slope": 0.21686153893648338, "intercept": 1.3714508928571438, "r2": 0.9053684672617953, "n": 7, "method": "full-batch", "act": "trunc", "target": 0.3 }, { "slope": 0.14721285959642402, "intercept": 2.1616741071428596, "r2": 0.8408997685138244, "n": 7, "method": "full-batch", "act": "trunc", "target": 0.4 }, { "slope": 0.04190900281725223, "intercept": 3.2662366071428566, "r2": 0.39587056643429996, "n": 7, "method": "full-batch", "act": "trunc", "target": 0.5 }, { "slope": 0.9659256811217707, "intercept": -2.5751766750000025, "r2": 0.9487475337326098, "n": 8, "method": "one-pass-sgd", "act": "quad", "target": 0.1 }, { "slope": 1.0765985820260486, "intercept": -1.6298624595238125, "r2": 0.9457078059893426, "n": 8, "method": "one-pass-sgd", "act": "quad", "target": 0.2 }, { "slope": 1.4062518093174536, "intercept": -0.6122428107142912, "r2": 0.904827780186078, "n": 8, "method": "one-pass-sgd", "act": "quad", "target": 0.3 }, { "slope": 1.3738967684457222, "intercept": 3.3895764089285616, "r2": 0.8694884252448501, "n": 8, "method": "one-pass-sgd", "act": "quad", "target": 0.4 }, { "slope": 1.1917481334391904, "intercept": 8.687109464880951, "r2": 0.6408380561066795, "n": 8, "method": "one-pass-sgd", "act": "quad", "target": 0.5 }, { "slope": 1.051728325466165, "intercept": -2.848834057738098, "r2": 0.9577778398411183, "n": 8, "method": "one-pass-sgd", "act": "trunc", "target": 0.1 }, { "slope": 1.127252225785776, "intercept": -1.7221531166666695, "r2": 0.9545791180002083, "n": 8, "method": "one-pass-sgd", "act": "trunc", "target": 0.2 }, { "slope": 1.1990836928471091, "intercept": -0.25505925029762183, "r2": 0.9488884456686604, "n": 8, "method": "one-pass-sgd", "act": "trunc", "target": 0.3 }, { "slope": 1.5779145541949928, "intercept": 2.048762280654759, "r2": 0.9447881028752173, "n": 8, "method": "one-pass-sgd", "act": "trunc", "target": 0.4 }, { "slope": 1.520070088119203, "intercept": 5.012620995833333, "r2": 0.9021703022728277, "n": 8, "method": "one-pass-sgd", "act": "trunc", "target": 0.5 } ], "scaling_collapse": [ { "act": "quad", "d": 64, "logd": 4.1588830833596715, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.4402408125 }, { "act": "quad", "d": 64, "logd": 4.1588830833596715, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.655171875 }, { "act": "quad", "d": 64, "logd": 4.1588830833596715, "mode": "\u03b4=1.2\u00b7log d", "delta": 4.991, "mean": 0.5281302757220174 }, { "act": "quad", "d": 128, "logd": 4.852030263919617, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.4115370625 }, { "act": "quad", "d": 128, "logd": 4.852030263919617, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.62530471875 }, { "act": "quad", "d": 128, "logd": 4.852030263919617, "mode": "\u03b4=1.2\u00b7log d", "delta": 5.822, "mean": 0.5403300574030145 }, { "act": "quad", "d": 256, "logd": 5.545177444479562, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.36642865625 }, { "act": "quad", "d": 256, "logd": 5.545177444479562, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.61248390625 }, { "act": "quad", "d": 256, "logd": 5.545177444479562, "mode": "\u03b4=1.2\u00b7log d", "delta": 6.654, "mean": 0.5553642856587414 }, { "act": "quad", "d": 512, "logd": 6.238324625039508, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.3228336875 }, { "act": "quad", "d": 512, "logd": 6.238324625039508, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.6072811875 }, { "act": "quad", "d": 512, "logd": 6.238324625039508, "mode": "\u03b4=1.2\u00b7log d", "delta": 7.486, "mean": 0.5670212467489091 }, { "act": "quad", "d": 1024, "logd": 6.931471805599453, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.24952725 }, { "act": "quad", "d": 1024, "logd": 6.931471805599453, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.598013875 }, { "act": "quad", "d": 1024, "logd": 6.931471805599453, "mode": "\u03b4=1.2\u00b7log d", "delta": 8.318, "mean": 0.605184664446458 }, { "act": "quad", "d": 2048, "logd": 7.6246189861593985, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.1825320625 }, { "act": "quad", "d": 2048, "logd": 7.6246189861593985, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.5674434375 }, { "act": "quad", "d": 2048, "logd": 7.6246189861593985, "mode": "\u03b4=1.2\u00b7log d", "delta": 9.15, "mean": 0.6384835550644431 }, { "act": "quad", "d": 4096, "logd": 8.317766166719343, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.082841875 }, { "act": "quad", "d": 4096, "logd": 8.317766166719343, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.57125475 }, { "act": "quad", "d": 4096, "logd": 8.317766166719343, "mode": "\u03b4=1.2\u00b7log d", "delta": 9.981, "mean": 0.666959742828006 }, { "act": "quad", "d": 8192, "logd": 9.010913347279288, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.0250025 }, { "act": "quad", "d": 8192, "logd": 9.010913347279288, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.4598175 }, { "act": "quad", "d": 8192, "logd": 9.010913347279288, "mode": "\u03b4=1.2\u00b7log d", "delta": 10.813, "mean": 0.6867117096571638 }, { "act": "trunc", "d": 64, "logd": 4.1588830833596715, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.5889836875 }, { "act": "trunc", "d": 64, "logd": 4.1588830833596715, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.7839866875 }, { "act": "trunc", "d": 64, "logd": 4.1588830833596715, "mode": "\u03b4=1.2\u00b7log d", "delta": 4.991, "mean": 0.6707169033711508 }, { "act": "trunc", "d": 128, "logd": 4.852030263919617, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.602809625 }, { "act": "trunc", "d": 128, "logd": 4.852030263919617, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.77615278125 }, { "act": "trunc", "d": 128, "logd": 4.852030263919617, "mode": "\u03b4=1.2\u00b7log d", "delta": 5.822, "mean": 0.7185831940756309 }, { "act": "trunc", "d": 256, "logd": 5.545177444479562, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.61725896875 }, { "act": "trunc", "d": 256, "logd": 5.545177444479562, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.77425390625 }, { "act": "trunc", "d": 256, "logd": 5.545177444479562, "mode": "\u03b4=1.2\u00b7log d", "delta": 6.654, "mean": 0.7420505319171565 }, { "act": "trunc", "d": 512, "logd": 6.238324625039508, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.59290640625 }, { "act": "trunc", "d": 512, "logd": 6.238324625039508, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.77168075 }, { "act": "trunc", "d": 512, "logd": 6.238324625039508, "mode": "\u03b4=1.2\u00b7log d", "delta": 7.486, "mean": 0.7580077807830978 }, { "act": "trunc", "d": 1024, "logd": 6.931471805599453, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.56086575 }, { "act": "trunc", "d": 1024, "logd": 6.931471805599453, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.773342 }, { "act": "trunc", "d": 1024, "logd": 6.931471805599453, "mode": "\u03b4=1.2\u00b7log d", "delta": 8.318, "mean": 0.7786623650428725 }, { "act": "trunc", "d": 2048, "logd": 7.6246189861593985, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.5565306875 }, { "act": "trunc", "d": 2048, "logd": 7.6246189861593985, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.773222625 }, { "act": "trunc", "d": 2048, "logd": 7.6246189861593985, "mode": "\u03b4=1.2\u00b7log d", "delta": 9.15, "mean": 0.7924495571292579 }, { "act": "trunc", "d": 4096, "logd": 8.317766166719343, "mode": "fixed \u03b4=4", "delta": 4.0, "mean": 0.636465125 }, { "act": "trunc", "d": 4096, "logd": 8.317766166719343, "mode": "fixed \u03b4=8", "delta": 8.0, "mean": 0.7699825 }, { "act": "trunc", "d": 4096, "logd": 8.317766166719343, "mode": "\u03b4=1.2\u00b7log d", "delta": 9.981, "mean": 0.8067687050429331 } ] }