File size: 3,073 Bytes
535348a
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
{
  "model": "EleutherAI/pythia-1b",
  "gamma_text": 0.931,
  "gamma_target": 0.5,
  "alpha_opt_theory": 64.0,
  "theta_base": 10000,
  "results": {
    "alpha_1": {
      "alpha": 1.0,
      "theta_new": 10000,
      "depths": {
        "in_train": {
          "ctx_end": 1024,
          "ctx_len": 124,
          "ppl": 17.404948412148393
        },
        "at_boundary": {
          "ctx_end": 2048,
          "ctx_len": 148,
          "ppl": 15.854351582229326
        },
        "out_1.5x": {
          "ctx_end": 2650,
          "ctx_len": 150,
          "ppl": 16.97577129243789
        },
        "out_2x": {
          "ctx_end": 3650,
          "ctx_len": 150,
          "ppl": 15.524942384458516
        }
      }
    },
    "alpha_4": {
      "alpha": 4.0,
      "theta_new": 40000,
      "depths": {
        "in_train": {
          "ctx_end": 1024,
          "ctx_len": 124,
          "ppl": 18.491019027713858
        },
        "at_boundary": {
          "ctx_end": 2048,
          "ctx_len": 148,
          "ppl": 16.854908619134363
        },
        "out_1.5x": {
          "ctx_end": 2650,
          "ctx_len": 150,
          "ppl": 18.12599335819514
        },
        "out_2x": {
          "ctx_end": 3650,
          "ctx_len": 150,
          "ppl": 16.456427754310326
        }
      }
    },
    "alpha_8": {
      "alpha": 8.0,
      "theta_new": 80000,
      "depths": {
        "in_train": {
          "ctx_end": 1024,
          "ctx_len": 124,
          "ppl": 19.732665122735888
        },
        "at_boundary": {
          "ctx_end": 2048,
          "ctx_len": 148,
          "ppl": 18.26191435396263
        },
        "out_1.5x": {
          "ctx_end": 2650,
          "ctx_len": 150,
          "ppl": 19.605890918116287
        },
        "out_2x": {
          "ctx_end": 3650,
          "ctx_len": 150,
          "ppl": 17.594068865300173
        }
      }
    },
    "alpha_16": {
      "alpha": 16.0,
      "theta_new": 160000,
      "depths": {
        "in_train": {
          "ctx_end": 1024,
          "ctx_len": 124,
          "ppl": 21.76860403814333
        },
        "at_boundary": {
          "ctx_end": 2048,
          "ctx_len": 148,
          "ppl": 20.56687230107969
        },
        "out_1.5x": {
          "ctx_end": 2650,
          "ctx_len": 150,
          "ppl": 21.782426386202566
        },
        "out_2x": {
          "ctx_end": 3650,
          "ctx_len": 150,
          "ppl": 19.421047912281473
        }
      }
    },
    "alpha_opt": {
      "alpha": 64.0,
      "theta_new": 640000,
      "depths": {
        "in_train": {
          "ctx_end": 1024,
          "ctx_len": 124,
          "ppl": 30.34100202780192
        },
        "at_boundary": {
          "ctx_end": 2048,
          "ctx_len": 148,
          "ppl": 31.045355589390898
        },
        "out_1.5x": {
          "ctx_end": 2650,
          "ctx_len": 150,
          "ppl": 31.12833474923277
        },
        "out_2x": {
          "ctx_end": 3650,
          "ctx_len": 150,
          "ppl": 27.826159362193188
        }
      }
    }
  }
}