Spherical harmonic spectrum regularizer / results.json
Mechanism failed
1{
2 "checks": {
3 "addition_theorem_l1_abs_error": 1.1102230246251565e-16,
4 "gradient_fd": 0.08300807200628535,
5 "gradient_autodiff": 0.08300807312918351,
6 "gradient_relative_error": 1.3527577935348174e-08
7 },
8 "gradient_scaling": {
9 "spectrum_grad_norm": 0.607015930074093,
10 "task_grad_norm": 0.07086916628788816,
11 "lambda_times_grad_ratio": {
12 "0": 0.0,
13 "0.01": 0.08565303669698097,
14 "0.1": 0.8565303669698097,
15 "1": 8.565303669698096
16 }
17 },
18 "sweep": [
19 {
20 "lambda": 0,
21 "task": -0.9999999999993378,
22 "spec_loss": 3.9999999999470175,
23 "q": [
24 0.9999999999986753,
25 0.9999999999960263,
26 0.9999999999920527,
27 0.9999999999867546
28 ],
29 "cap_var": 432.5376000000006,
30 "trace": {
31 "0": [
32 -0.8909230631581234,
33 0.9741946219131278,
34 0.7954474534424382
35 ],
36 "10": [
37 -0.9911583746058141,
38 3.4038503725368416,
39 0.9824420964507222
40 ],
41 "50": [
42 -0.9998533034463227,
43 3.9888267516988636,
44 0.9997200587657563
45 ],
46 "200": [
47 -0.9999999999676218,
48 3.9999999974823304,
49 0.9999999999370582
50 ],
51 "700": [
52 -0.9999999999993378,
53 3.9999999999470175,
54 0.9999999999986753
55 ]
56 }
57 },
58 {
59 "lambda": 0.001,
60 "task": -0.9999999999993358,
61 "spec_loss": 3.9999999999468523,
62 "q": [
63 0.9999999999986713,
64 0.9999999999960141,
65 0.9999999999920279,
66 0.999999999986713
67 ],
68 "cap_var": 432.5376000000006,
69 "trace": {
70 "0": [
71 -0.8909230631581234,
72 0.9741946219131278,
73 0.7954474534424382
74 ],
75 "10": [
76 -0.9910792452971866,
77 3.3987594806760635,
78 0.9822819271123266
79 ],
80 "50": [
81 -0.9998521895485785,
82 3.9886286944180354,
83 0.9997150704014688
84 ],
85 "200": [
86 -0.9999999999657305,
87 3.999999997358163,
88 0.9999999999339539
89 ],
90 "700": [
91 -0.9999999999993358,
92 3.9999999999468523,
93 0.9999999999986713
94 ]
95 }
96 },
97 {
98 "lambda": 0.003,
99 "task": -0.9999999999993312,
100 "spec_loss": 3.9999999999464957,
101 "q": [
102 0.9999999999986624,
103 0.9999999999959872,
104 0.9999999999919744,
105 0.9999999999866238
106 ],
107 "cap_var": 432.5376000000006,
108 "trace": {
109 "0": [
110 -0.8909230631581234,
111 0.9741946219131278,
112 0.7954474534424382
113 ],
114 "10": [
115 -0.9909007568830709,
116 3.3873391392068193,
117 0.981921896438519
118 ],
119 "50": [
120 -0.9998484705514326,
121 3.988129834279063,
122 0.9997025125251294
123 ],
124 "200": [
125 -0.9999999999730466,
126 3.999999997858116,
127 0.9999999999464528
128 ],
129 "700": [
130 -0.9999999999993312,
131 3.9999999999464957,
132 0.9999999999986624
133 ]
134 }
135 },
136 {
137 "lambda": 0.01,
138 "task": -0.9999999999993106,
139 "spec_loss": 3.999999999944854,
140 "q": [
141 0.9999999999986212,
142 0.9999999999958639,
143 0.9999999999917282,
144 0.9999999999862137
145 ],
146 "cap_var": 432.5376000000006,
147 "trace": {
148 "0": [
149 -0.8909230631581234,
150 0.9741946219131278,
151 0.7954474534424382
152 ],
153 "10": [
154 -0.9899695236266453,
155 3.328816821784134,
156 0.9800576107828539
157 ],
158 "50": [
159 -0.9994403581200095,
160 3.9556149143300496,
161 0.9988812603278749
162 ],
163 "200": [
164 -0.999999999942001,
165 3.9999999953632197,
166 0.9999999998840805
167 ],
168 "700": [
169 -0.9999999999993106,
170 3.999999999944854,
171 0.9999999999986212
172 ]
173 }
174 },
175 {
176 "lambda": 0.03,
177 "task": -0.9645839159108602,
178 "spec_loss": 2.117728361635228,
179 "q": [
180 0.9304221308339294,
181 0.8021588222358146,
182 0.6348897335290118,
183 0.4533202733811822
184 ],
185 "cap_var": 319.3098999999995,
186 "trace": {
187 "0": [
188 -0.8909230631581234,
189 0.9741946219131278,
190 0.7954474534424382
191 ],
192 "10": [
193 -0.9767316444109793,
194 2.6385595227459597,
195 0.9545851117144433
196 ],
197 "50": [
198 -0.9639193501597907,
199 2.097439639412694,
200 0.9291494459095975
201 ],
202 "200": [
203 -0.9645846712327778,
204 2.117761123688251,
205 0.9304235880230486
206 ],
207 "700": [
208 -0.9645839159108602,
209 2.117728361635228,
210 0.9304221308339294
211 ]
212 }
213 },
214 {
215 "lambda": 0.1,
216 "task": -0.9064801553234331,
217 "spec_loss": 1.0306703319004857,
218 "q": [
219 0.8217062719951953,
220 0.536643286239514,
221 0.2524367486699702,
222 0.06130909980772279
223 ],
224 "cap_var": 268.5599999999998,
225 "trace": {
226 "0": [
227 -0.8909230631581234,
228 0.9741946219131278,
229 0.7954474534424382
230 ],
231 "10": [
232 -0.9042439366637006,
233 1.0133568603319074,
234 0.8177207448232329
235 ],
236 "50": [
237 -0.9063765976279995,
238 1.0297422824305629,
239 0.8215188494436719
240 ],
241 "200": [
242 -0.9064799529116454,
243 1.0306695775280832,
244 0.8217059050307011
245 ],
246 "700": [
247 -0.9064801553234331,
248 1.0306703319004857,
249 0.8217062719951953
250 ]
251 }
252 },
253 {
254 "lambda": 0.3,
255 "task": -0.8157951856570288,
256 "spec_loss": 0.5060037991149123,
257 "q": [
258 0.6655217849411861,
259 0.2482856266114421,
260 0.017857215238157167,
261 0.03346521127546888
262 ],
263 "cap_var": 147.7456000000001,
264 "trace": {
265 "0": [
266 -0.8909230631581234,
267 0.9741946219131278,
268 0.7954474534424382
269 ],
270 "10": [
271 -0.7629307743531261,
272 0.3649687087440943,
273 0.582136754193101
274 ],
275 "50": [
276 -0.8095636581942389,
277 0.4862718242581518,
278 0.6554001645137308
279 ],
280 "200": [
281 -0.8158023002847454,
282 0.5060315469937245,
283 0.6655333931756824
284 ],
285 "700": [
286 -0.8157951856570288,
287 0.5060037991149123,
288 0.6655217849411861
289 ]
290 }
291 },
292 {
293 "lambda": 1,
294 "task": -0.6255884371529783,
295 "spec_loss": 0.15383284742579417,
296 "q": [
297 0.3913608933238732,
298 0.02376159041459485,
299 0.010044802694563426,
300 0.001996838083177158
301 ],
302 "cap_var": 73.12750000000003,
303 "trace": {
304 "0": [
305 -0.8909230631581234,
306 0.9741946219131278,
307 0.7954474534424382
308 ],
309 "10": [
310 -0.6164022055956032,
311 0.15446813885022437,
312 0.38127096122636994
313 ],
314 "50": [
315 -0.636737403614703,
316 0.16658710673507737,
317 0.4054504318566992
318 ],
319 "200": [
320 -0.6245094829998503,
321 0.15291881422823514,
322 0.3900121267962416
323 ],
324 "700": [
325 -0.6255884371529783,
326 0.15383284742579417,
327 0.3913608933238732
328 ]
329 }
330 }
331 ],
332 "convergence_lambda_0.1": [
333 0.9741946219131278,
334 1.0133568603319074,
335 1.0297422824305629,
336 1.0306695775280832,
337 1.0306703319004857
338 ],
339 "notes": "q_l=P_l/P_0, target q_1..q_4=0; task favors north-pole collapse."
340}