Redesign main figure panels and track figure-source CSVs

Panel 1a: rename to Backward rules; DFA drawn as direct side-to-side
arrows from the error to each hidden layer. Panel 1b: replace the dual
y-axis with stacked guarantee/cost sub-axes. Figure 2: reader-facing
panel titles; legend renames (linear extrapolation, relinearization).

Track the regenerated figure-source CSVs (verified bit-exact against
the frozen paper numbers) so figures can be rebuilt without rerunning
experiments.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

1 files changed, 46 insertions, 0 deletions

diff --git a/outputs/aaai_depth_experiments/finite_time_metrics.csv b/outputs/aaai_depth_experiments/finite_time_metrics.csv
new file mode 100644
index 0000000..514842c
--- /dev/null
+++ b/outputs/aaai_depth_experiments/finite_time_metrics.csv
@@ -0,0 +1,46 @@
+depth,width,predictor,rows,empirical_gap_mean,empirical_gap_std,mae,bias,corr

+1,32,frozen K(0),32,0.05136897340347396,0.01652559460922617,0.006060182887037191,0.006060182887037191,0.9976573185887714

+1,32,linear velocity,32,0.05136897340347396,0.01652559460922617,0.00030013888630057994,-0.00026101517929567886,0.9998926400045265

+1,32,early retangent,32,0.05136897340347396,0.01652559460922617,0.0019201919171255438,0.0019201919171255438,0.9996242547454796

+1,64,frozen K(0),32,0.042081428789929445,0.006497779381297859,0.004066484357382771,0.004066484357382771,0.9885589130947929

+1,64,linear velocity,32,0.042081428789929445,0.006497779381297859,0.0003348969102328764,-0.00033428569421843635,0.9995038459438087

+1,64,early retangent,32,0.042081428789929445,0.006497779381297859,0.0011329615470371535,0.0011329615470371535,0.9990296754965575

+1,96,frozen K(0),32,0.04066710671139556,0.008421349275017403,0.0040379058966222015,0.0040379058966222015,0.9909345306996378

+1,96,linear velocity,32,0.04066710671139556,0.008421349275017403,0.00041166367966302686,-0.00041166367966302686,0.9998012182104022

+1,96,early retangent,32,0.04066710671139556,0.008421349275017403,0.001067837543377248,0.001067837543377248,0.999189321428531

+2,32,frozen K(0),32,0.1991135584890572,0.052625613861031054,0.04645317142512988,0.04645317142512988,0.9440213297868236

+2,32,linear velocity,32,0.1991135584890572,0.052625613861031054,0.005838152916263162,-0.002952487301433354,0.9919060064072347

+2,32,early retangent,32,0.1991135584890572,0.052625613861031054,0.01389428469972788,0.01389428469972788,0.9933918972323118

+2,64,frozen K(0),32,0.15269740556020472,0.026024748848327794,0.02330393843247422,0.02330393843247422,0.9528643326430452

+2,64,linear velocity,32,0.15269740556020472,0.026024748848327794,0.002300933444189482,-0.0018279676346472512,0.9932527508335419

+2,64,early retangent,32,0.15269740556020472,0.026024748848327794,0.006382070455477382,0.006382070455477382,0.9984290617722409

+2,96,frozen K(0),32,0.21833594174636087,0.04691587158513151,0.02905789733340558,0.02905789733340558,0.9810112811320595

+2,96,linear velocity,32,0.21833594174636087,0.04691587158513151,0.002488294598368551,-0.0023064637823129175,0.99890280296393

+2,96,early retangent,32,0.21833594174636087,0.04691587158513151,0.0073750903927073536,0.0073750903927073536,0.9987271608451097

+3,32,frozen K(0),32,0.20650431577863307,0.07241635103351103,0.07224851089902076,0.07224851089902076,0.9569210745236794

+3,32,linear velocity,32,0.20650431577863307,0.07241635103351103,0.010208808982895307,-0.00980882913689135,0.9946916940851407

+3,32,early retangent,32,0.20650431577863307,0.07241635103351103,0.019584611087330686,0.019584611087330686,0.9940208576132128

+3,64,frozen K(0),32,0.25254775975280397,0.0719852490574833,0.04865992998301119,0.04865992998301119,0.9869643390232647

+3,64,linear velocity,32,0.25254775975280397,0.0719852490574833,0.0063583363423603545,-0.005906606908782641,0.9970908546561852

+3,64,early retangent,32,0.25254775975280397,0.0719852490574833,0.011283736859413293,0.011283736859413293,0.9986807498322482

+3,96,frozen K(0),32,0.31257586907823054,0.05631263820326214,0.06431346213579071,0.06431346213579071,0.9231709002185419

+3,96,linear velocity,32,0.31257586907823054,0.05631263820326214,0.007911992331640832,-0.005672714215512631,0.9930991378053252

+3,96,early retangent,32,0.31257586907823054,0.05631263820326214,0.013638677000938848,0.013638677000938848,0.9984212339727748

+4,32,frozen K(0),32,0.22236498864763066,0.11105762852824143,0.06337516273213871,0.06332901645179746,0.990137354667609

+4,32,linear velocity,32,0.22236498864763066,0.11105762852824143,0.010553054854095884,-0.010360684053854041,0.9990700527571149

+4,32,early retangent,32,0.22236498864763066,0.11105762852824143,0.014118573340720406,0.013839552538447694,0.9986967807771688

+4,64,frozen K(0),32,0.28120981965910297,0.042225244152467735,0.07937642688418843,0.07937642688418843,0.8826410504286123

+4,64,linear velocity,32,0.28120981965910297,0.042225244152467735,0.0104443649659937,-0.007117276314777085,0.9609863134903412

+4,64,early retangent,32,0.28120981965910297,0.042225244152467735,0.020849536206344707,0.020849536206344707,0.9713517099187499

+4,96,frozen K(0),32,0.4511189344036862,0.05728125251518662,0.1035449990241496,0.1035449990241496,0.9367103902037411

+4,96,linear velocity,32,0.4511189344036862,0.05728125251518662,0.009931067466605756,-0.009292203820781011,0.9954682487951515

+4,96,early retangent,32,0.4511189344036862,0.05728125251518662,0.02277674382862374,0.02277674382862374,0.992792222900515

+6,32,frozen K(0),32,0.20281838372677324,0.0455038100598396,0.08954173467881693,0.0890068177385607,0.4371366086209552

+6,32,linear velocity,32,0.20281838372677324,0.0455038100598396,0.014722593024769505,0.003948389287220903,0.9059032370355317

+6,32,early retangent,32,0.20281838372677324,0.0455038100598396,0.01904805137463638,0.018712241898735542,0.9432825098725833

+6,64,frozen K(0),32,0.346052835561966,0.08000792524829267,0.17246651499850232,0.17246651499850232,0.8366356550459748

+6,64,linear velocity,32,0.346052835561966,0.08000792524829267,0.03910193370943653,-0.033922244363753754,0.9647322415789517

+6,64,early retangent,32,0.346052835561966,0.08000792524829267,0.025709136921892764,0.025595771355850783,0.9861683996530385

+6,96,frozen K(0),32,0.5357271940078374,0.06934264007718259,0.19740604139974754,0.19740604139974754,0.9328204382954659

+6,96,linear velocity,32,0.5357271940078374,0.06934264007718259,0.03558794839874099,-0.03442338485203231,0.9674531776686696

+6,96,early retangent,32,0.5357271940078374,0.06934264007718259,0.03024740517266261,0.03024740517266261,0.9918992965326763