model_name,epsilon,epsilon_index,accuracy,avg_correct_prob,prob_error_bar Lipschitz bound 15.2 (Muon + soft cap),0.0,0,0.470703125,0.2465411126613617,0.006872239056974649 Lipschitz bound 15.2 (Muon + soft cap),0.4,1,0.46484375,0.24188876152038574,0.00677172327414155 Lipschitz bound 15.2 (Muon + soft cap),0.8,2,0.4609375,0.23624548316001892,0.006661087274551392 Lipschitz bound 15.2 (Muon + soft cap),1.2,3,0.416015625,0.22944872081279755,0.006539473310112953 Lipschitz bound 15.2 (Muon + soft cap),1.6,4,0.384765625,0.22136151790618896,0.006398873869329691 Lipschitz bound 15.2 (Muon + soft cap),2.0,5,0.34375,0.21216988563537598,0.006248640362173319 Lipschitz bound 15.2 (Muon + soft cap),2.4,6,0.3046875,0.2017553150653839,0.006085531786084175 Lipschitz bound 15.2 (Muon + soft cap),2.8,7,0.255859375,0.1905008852481842,0.005909574683755636 Lipschitz bound 15.2 (Muon + soft cap),3.2,8,0.205078125,0.17851822078227997,0.005721117369830608 Lipschitz bound 15.2 (Muon + soft cap),3.6,9,0.15625,0.166222482919693,0.00552830146625638 Lipschitz bound 15.2 (Muon + soft cap),4.0,10,0.12109375,0.1539309024810791,0.005329667124897242 Lipschitz bound 15.2 (Muon + soft cap),4.4,11,0.099609375,0.1419779360294342,0.005133118946105242 Lipschitz bound 15.2 (Muon + soft cap),4.8,12,0.080078125,0.1307675540447235,0.004940425511449575 Lipschitz bound 15.2 (Muon + soft cap),5.2,13,0.064453125,0.12042088061571121,0.004750879481434822 Lipschitz bound 7618.8 (Adam + weight decay),0.0,0,0.455078125,0.3451777398586273,0.011264396831393242 Lipschitz bound 7618.8 (Adam + weight decay),0.4,1,0.427734375,0.31623339653015137,0.010893518105149269 Lipschitz bound 7618.8 (Adam + weight decay),0.8,2,0.326171875,0.26872894167900085,0.01072117779403925 Lipschitz bound 7618.8 (Adam + weight decay),1.2,3,0.234375,0.2093334048986435,0.01011421624571085 Lipschitz bound 7618.8 (Adam + weight decay),1.6,4,0.158203125,0.1528899371623993,0.008851265534758568 Lipschitz bound 7618.8 (Adam + weight decay),2.0,5,0.095703125,0.10684726387262344,0.007450764533132315 Lipschitz bound 7618.8 (Adam + weight decay),2.4,6,0.064453125,0.07626770436763763,0.006211025640368462 Lipschitz bound 7618.8 (Adam + weight decay),2.8,7,0.03125,0.05315832793712616,0.004932188894599676 Lipschitz bound 7618.8 (Adam + weight decay),3.2,8,0.015625,0.03924941271543503,0.004173320718109608 Lipschitz bound 7618.8 (Adam + weight decay),3.6,9,0.013671875,0.03031872771680355,0.0036359354853630066 Lipschitz bound 7618.8 (Adam + weight decay),4.0,10,0.009765625,0.02403259463608265,0.003225660650059581 Lipschitz bound 7618.8 (Adam + weight decay),4.4,11,0.009765625,0.02026309445500374,0.0029816720634698868 Lipschitz bound 7618.8 (Adam + weight decay),4.8,12,0.0078125,0.01729888655245304,0.0027463138103485107 Lipschitz bound 7618.8 (Adam + weight decay),5.2,13,0.005859375,0.015457117930054665,0.002608406590297818