RG Pyramid Flow Matching / results.json
Failed on benchmark
1{
2 "setup": {
3 "L": 256,
4 "kernel": "normalized exp(-Lambda * periodic_distance)",
5 "seed": 2708
6 },
7 "radius_sweep": [
8 {
9 "Lambda": 0.1,
10 "epsilon": 0.2,
11 "required_R": 20,
12 "measured_error": 0.18108977933734985,
13 "field_error": 0.20087969116508012
14 },
15 {
16 "Lambda": 0.1,
17 "epsilon": 0.1,
18 "required_R": 26,
19 "measured_error": 0.09622677548682973,
20 "field_error": 0.1062687925009071
21 },
22 {
23 "Lambda": 0.1,
24 "epsilon": 0.05,
25 "required_R": 33,
26 "measured_error": 0.04689378568926426,
27 "field_error": 0.05047379643966403
28 },
29 {
30 "Lambda": 0.1,
31 "epsilon": 0.02,
32 "required_R": 42,
33 "measured_error": 0.01886242128074834,
34 "field_error": 0.02023745203897023
35 },
36 {
37 "Lambda": 0.1,
38 "epsilon": 0.01,
39 "required_R": 49,
40 "measured_error": 0.009331760980170637,
41 "field_error": 0.010097827004968762
42 },
43 {
44 "Lambda": 0.16,
45 "epsilon": 0.2,
46 "required_R": 12,
47 "measured_error": 0.19559724462450812,
48 "field_error": 0.2026093247965137
49 },
50 {
51 "Lambda": 0.16,
52 "epsilon": 0.1,
53 "required_R": 16,
54 "measured_error": 0.09951968545827405,
55 "field_error": 0.10449300864910202
56 },
57 {
58 "Lambda": 0.16,
59 "epsilon": 0.05,
60 "required_R": 21,
61 "measured_error": 0.043797388242633815,
62 "field_error": 0.04528936411585918
63 },
64 {
65 "Lambda": 0.16,
66 "epsilon": 0.02,
67 "required_R": 26,
68 "measured_error": 0.019503296487842152,
69 "field_error": 0.02098124584186845
70 },
71 {
72 "Lambda": 0.16,
73 "epsilon": 0.01,
74 "required_R": 31,
75 "measured_error": 0.008727887511324611,
76 "field_error": 0.00936132913991524
77 },
78 {
79 "Lambda": 0.25,
80 "epsilon": 0.2,
81 "required_R": 8,
82 "measured_error": 0.17271142907614734,
83 "field_error": 0.179059925229078
84 },
85 {
86 "Lambda": 0.25,
87 "epsilon": 0.1,
88 "required_R": 11,
89 "measured_error": 0.07880048158963927,
90 "field_error": 0.08180954109570912
91 },
92 {
93 "Lambda": 0.25,
94 "epsilon": 0.05,
95 "required_R": 13,
96 "measured_error": 0.047242323781939224,
97 "field_error": 0.04793220309188392
98 },
99 {
100 "Lambda": 0.25,
101 "epsilon": 0.02,
102 "required_R": 17,
103 "measured_error": 0.017188029277686208,
104 "field_error": 0.01774136773063769
105 },
106 {
107 "Lambda": 0.25,
108 "epsilon": 0.01,
109 "required_R": 20,
110 "measured_error": 0.008092849851682926,
111 "field_error": 0.008249424082868691
112 },
113 {
114 "Lambda": 0.4,
115 "epsilon": 0.2,
116 "required_R": 5,
117 "measured_error": 0.158412823699114,
118 "field_error": 0.16573818736277707
119 },
120 {
121 "Lambda": 0.4,
122 "epsilon": 0.1,
123 "required_R": 7,
124 "measured_error": 0.068857567379218,
125 "field_error": 0.07058065164113841
126 },
127 {
128 "Lambda": 0.4,
129 "epsilon": 0.05,
130 "required_R": 8,
131 "measured_error": 0.04577736118541589,
132 "field_error": 0.04634547324597538
133 },
134 {
135 "Lambda": 0.4,
136 "epsilon": 0.02,
137 "required_R": 11,
138 "measured_error": 0.01362038230277848,
139 "field_error": 0.014070728827258433
140 },
141 {
142 "Lambda": 0.4,
143 "epsilon": 0.01,
144 "required_R": 12,
145 "measured_error": 0.009117516469912093,
146 "field_error": 0.009224839229888072
147 },
148 {
149 "Lambda": 0.64,
150 "epsilon": 0.2,
151 "required_R": 3,
152 "measured_error": 0.14640529859180462,
153 "field_error": 0.1462984929905749
154 },
155 {
156 "Lambda": 0.64,
157 "epsilon": 0.1,
158 "required_R": 4,
159 "measured_error": 0.07518099318592868,
160 "field_error": 0.07624419577498132
161 },
162 {
163 "Lambda": 0.64,
164 "epsilon": 0.05,
165 "required_R": 5,
166 "measured_error": 0.0390702420624773,
167 "field_error": 0.039890712547407614
168 },
169 {
170 "Lambda": 0.64,
171 "epsilon": 0.02,
172 "required_R": 7,
173 "measured_error": 0.010745936971401282,
174 "field_error": 0.011075185431629596
175 },
176 {
177 "Lambda": 0.64,
178 "epsilon": 0.01,
179 "required_R": 8,
180 "measured_error": 0.005659279379663744,
181 "field_error": 0.005815265621318083
182 },
183 {
184 "Lambda": 1.0,
185 "epsilon": 0.2,
186 "required_R": 2,
187 "measured_error": 0.10193741800095803,
188 "field_error": 0.10323512293168854
189 },
190 {
191 "Lambda": 1.0,
192 "epsilon": 0.1,
193 "required_R": 3,
194 "measured_error": 0.036454803563614836,
195 "field_error": 0.03672838330278866
196 },
197 {
198 "Lambda": 1.0,
199 "epsilon": 0.05,
200 "required_R": 3,
201 "measured_error": 0.036454803563614836,
202 "field_error": 0.03672838330278866
203 },
204 {
205 "Lambda": 1.0,
206 "epsilon": 0.02,
207 "required_R": 4,
208 "measured_error": 0.013304728316875142,
209 "field_error": 0.013238348639857001
210 },
211 {
212 "Lambda": 1.0,
213 "epsilon": 0.01,
214 "required_R": 5,
215 "measured_error": 0.004870326948977221,
216 "field_error": 0.004884591252124001
217 }
218 ],
219 "predictions": {
220 "inverse_cutoff": {
221 "statement": "R is affine in 1/Lambda at fixed epsilon",
222 "fit_R_vs_1_over_Lambda": {
223 "slope": 4.166717207453081,
224 "intercept": 0.254995114390652,
225 "R2": 0.99956207466908
226 },
227 "Lambda_times_R": [
228 4.2,
229 4.16,
230 4.25,
231 4.4,
232 4.48,
233 4.0
234 ],
235 "mean": 4.248333333333333,
236 "cv": 0.03702922682318366
237 },
238 "log_tolerance": {
239 "statement": "R is affine in log(1/epsilon) at fixed Lambda",
240 "Lambda": 0.25,
241 "fit_R_vs_log_inverse_epsilon": {
242 "slope": 3.9521306444586117,
243 "intercept": 1.6077176921887204,
244 "R2": 0.9963880572092086
245 }
246 },
247 "rescaled_grid": {
248 "statement": "R/a is approximately constant when Lambda=pi/a",
249 "levels": [
250 {
251 "level": 0,
252 "spacing": 1,
253 "Lambda": 3.141592653589793,
254 "physical_R": 3.0103203988274165,
255 "cell_radius": 4
256 },
257 {
258 "level": 1,
259 "spacing": 2,
260 "Lambda": 1.5707963267948966,
261 "physical_R": 6.020640797654833,
262 "cell_radius": 4
263 },
264 {
265 "level": 2,
266 "spacing": 4,
267 "Lambda": 0.7853981633974483,
268 "physical_R": 12.041281595309666,
269 "cell_radius": 4
270 },
271 {
272 "level": 3,
273 "spacing": 8,
274 "Lambda": 0.39269908169872414,
275 "physical_R": 24.082563190619332,
276 "cell_radius": 4
277 },
278 {
279 "level": 4,
280 "spacing": 16,
281 "Lambda": 0.19634954084936207,
282 "physical_R": 48.165126381238665,
283 "cell_radius": 4
284 },
285 {
286 "level": 5,
287 "spacing": 32,
288 "Lambda": 0.09817477042468103,
289 "physical_R": 96.33025276247733,
290 "cell_radius": 4
291 }
292 ]
293 }
294 },
295 "baseline_comparison": [
296 {
297 "Lambda": 0.1,
298 "fixed_radius": 8,
299 "fixed_radius_error": 0.7417077842666441,
300 "rg_radius": 42,
301 "rg_error": 0.01886242128074834
302 },
303 {
304 "Lambda": 0.16,
305 "fixed_radius": 8,
306 "fixed_radius_error": 0.40008752505901835,
307 "rg_radius": 26,
308 "rg_error": 0.019503296487842152
309 },
310 {
311 "Lambda": 0.25,
312 "fixed_radius": 8,
313 "fixed_radius_error": 0.17271142907614734,
314 "rg_radius": 17,
315 "rg_error": 0.017188029277686208
316 },
317 {
318 "Lambda": 0.4,
319 "fixed_radius": 8,
320 "fixed_radius_error": 0.04577736118541589,
321 "rg_radius": 11,
322 "rg_error": 0.01362038230277848
323 },
324 {
325 "Lambda": 0.64,
326 "fixed_radius": 8,
327 "fixed_radius_error": 0.005659279379663744,
328 "rg_radius": 7,
329 "rg_error": 0.010745936971401282
330 },
331 {
332 "Lambda": 1.0,
333 "fixed_radius": 8,
334 "fixed_radius_error": 0.00024238524979014922,
335 "rg_radius": 4,
336 "rg_error": 0.013304728316875142
337 }
338 ]
339}