Ensemble

Dataset: wisconsin

Models

Model Narratives

openai

Round ID: 304
Prompt used:
	To classify an entity as Fylaran or Qtharri, use the following revised rules based on the mean attributes and a weighted scoring system for edge cases:
	
	1. If 'mean_orbital_radius' is greater than or equal to 3.0 and 'mean_surface_roughness' is greater than or equal to 300, classify as Fylaran unless 'mean_core_density' exceeds 0.92.
	2. If 'mean_orbital_radius' is less than 2.6, regardless of other features, classify as Qtharri.
	3. If 'mean_core_density' is greater than 0.91, classify as Qtharri.
	4. If 'mean_core_density' is less than or equal to 0.86 and 'mean_impact_crater_count' is less than 1.0, classify as Fylaran.
	5. If 'mean_orbital_radius' is between 2.6 and 3.0 inclusive, and 'mean_surface_roughness' exceeds 500, classify as Fylaran unless 'mean_core_density' is greater than 0.90 or 'mean_impact_crater_count' exceeds 0.96.
	6. If 'mean_surface_roughness' is less than 200 and 'mean_core_density' is between 0.85 and 0.91, classify as Qtharri.
	
	For edge cases where none of the above rules apply:
	- Calculate a weighted score as follows: (**5×mean_orbital_radius** + **3×mean_surface_roughness** - **4×mean_core_density**) divided by the sum of feature coefficients.
	  - If the score exceeds 2.5, classify as Fylaran.
	  - Otherwise, classify as Qtharri.
	- Additionally, prioritize core_density_errors exceeding 0.12 as Qtharri-indicating if paired with low 'mean_axial_symmetry' below 110.
	
	This approach incorporates additional weighted criteria and avoids strict binary thresholds for borderline cases to reduce misclassifications observed in edge scenarios and improve model interpretability.

Confusion Matrix:
                Predicted Fylaran    Predicted Qtharri   
Actual Fylaran                    19                   13
Actual Qtharri                     3                   31

Accuracy: 0.758
Precision: 0.864
Recall: 0.594
F1 Score: 0.704

Examples for Correctly predicted Fylaran: (Correct answer: Fylaran, What the previous set of rules predicted: Fylaran)
  Entity Data:
	mean_orbital_radius: 3.00419635196612
	mean_surface_roughness: 507.0
	mean_magnetosphere_extent: 4.89335213348152
	mean_atmospheric_depth: 7.02464903045364
	mean_tidal_distortion: 305.0
	mean_core_density: 0.802697062128753
	mean_ring_system_complexity: 0.828843762950684
	mean_impact_crater_count: 0.899442345745638
	mean_axial_symmetry: 550.5
	mean_cloud_turbulence: 551.0
	orbital_radius_error: 0.977496803063826
	surface_roughness_error: 1.88891503249882
	magnetosphere_extent_error: 3.32716095192283
	atmospheric_depth_error: 10.7796103825695
	tidal_distortion_error: 0.0560267793113258
	core_density_error: 0.288045135352083
	ring_system_complexity_error: 0.298161030317512
	impact_crater_count_error: 0.202237484161567
	axial_symmetry_error: 0.211754574921063
	cloud_turbulence_error: 0.113313723793722
	max_orbital_radius: 3.08922261664133
	max_surface_roughness: 430.0
	max_magnetosphere_extent: 5.02847521222459
	max_atmospheric_depth: 7.19518732017871
	max_tidal_distortion: 61.5
	max_core_density: 0.719269222469971
	max_ring_system_complexity: 0.733191582960628
	max_impact_crater_count: 0.849834282314949
	max_axial_symmetry: 426.0
	max_cloud_turbulence: 490.5


Examples for Falsely predicted Qtharri when it should have been Fylaran: (Correct answer: Fylaran, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.62249231274056
	mean_surface_roughness: 457.0
	mean_magnetosphere_extent: 4.41546141076012
	mean_atmospheric_depth: 6.22910254457264
	mean_tidal_distortion: 207.0
	mean_core_density: 0.94552812473407
	mean_ring_system_complexity: 0.955009502344548
	mean_impact_crater_count: 0.973671911512697
	mean_axial_symmetry: 112.0
	mean_cloud_turbulence: 240.0
	orbital_radius_error: 0.486518242206806
	surface_roughness_error: 1.17473401244707
	magnetosphere_extent_error: 1.20706255016051
	atmospheric_depth_error: 4.45757781760453
	tidal_distortion_error: 0.086596766683289
	core_density_error: 0.109635760589326
	ring_system_complexity_error: 0.152708873350569
	impact_crater_count_error: 0.0944457516249408
	axial_symmetry_error: 0.128335497817245
	cloud_turbulence_error: 0.0512737749731771
	max_orbital_radius: 2.74019465442878
	max_surface_roughness: 507.0
	max_magnetosphere_extent: 4.53302950821041
	max_atmospheric_depth: 6.48402436206708
	max_tidal_distortion: 393.0
	max_core_density: 0.867829558274755
	max_ring_system_complexity: 0.821220333415455
	max_impact_crater_count: 0.914653666389222
	max_axial_symmetry: 291.5
	max_cloud_turbulence: 297.0


Examples for Falsely predicted Fylaran when it should have been Qtharri: (Correct answer: Qtharri, What the previous set of rules predicted: Fylaran)
  Entity Data:
	mean_orbital_radius: 2.53686638871871
	mean_surface_roughness: 256.0
	mean_magnetosphere_extent: 4.3329676843847
	mean_atmospheric_depth: 6.02465751446375
	mean_tidal_distortion: 510.5
	mean_core_density: 0.907688118362531
	mean_ring_system_complexity: 0.933968431867003
	mean_impact_crater_count: 0.966323621780934
	mean_axial_symmetry: 295.5
	mean_cloud_turbulence: 401.0
	orbital_radius_error: 0.553172667437573
	surface_roughness_error: 1.28724512040248
	magnetosphere_extent_error: 1.46799182559032
	atmospheric_depth_error: 4.54092501589709
	tidal_distortion_error: 0.0924121204171834
	core_density_error: 0.151986841535707
	ring_system_complexity_error: 0.171610023017305
	impact_crater_count_error: 0.11823705003086
	axial_symmetry_error: 0.125099960031968
	cloud_turbulence_error: 0.0619677335393187
	max_orbital_radius: 2.64900766046843
	max_surface_roughness: 419.0
	max_magnetosphere_extent: 4.46026001419228
	max_atmospheric_depth: 6.25900768571888
	max_tidal_distortion: 534.0
	max_core_density: 0.789889415481833
	max_ring_system_complexity: 0.776819700147596
	max_impact_crater_count: 0.89142449634516
	max_axial_symmetry: 276.5
	max_cloud_turbulence: 416.0


Examples for Correctly predicted Qtharri: (Correct answer: Qtharri, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.63116915676625
	mean_surface_roughness: 31.0
	mean_magnetosphere_extent: 4.41751442760344
	mean_atmospheric_depth: 6.24784943220199
	mean_tidal_distortion: 10.0
	mean_core_density: 0.964050554811094
	mean_ring_system_complexity: 0.977899471934285
	mean_impact_crater_count: 0.988425536962173
	mean_axial_symmetry: 9.0
	mean_cloud_turbulence: 71.5
	orbital_radius_error: 0.391407715815619
	surface_roughness_error: 0.684835746730557
	magnetosphere_extent_error: 1.05593560409714
	atmospheric_depth_error: 3.56089876295297
	tidal_distortion_error: 0.0687822651560706
	core_density_error: 0.115974135047432
	ring_system_complexity_error: 0.128530152104477
	impact_crater_count_error: 0.0768439978137525
	axial_symmetry_error: 0.12723993083934
	cloud_turbulence_error: 0.0456179789118282
	max_orbital_radius: 2.68239045432163
	max_surface_roughness: 9.0
	max_magnetosphere_extent: 4.4818719696436
	max_atmospheric_depth: 6.35957386867238
	max_tidal_distortion: 30.0
	max_core_density: 0.897102359379205
	max_ring_system_complexity: 0.893974611121044
	max_impact_crater_count: 0.949072755917469
	max_axial_symmetry: 75.0
	max_cloud_turbulence: 103.5


openai

Round ID: 324
Prompt used:
	To classify an entity as either 'Fylaran' or 'Qtharri,' follow these revised rules. These rules are arranged hierarchically, and conflicts are resolved by strict prioritization. Entities with critical features falling near thresholds will now trigger additional checks.
	
	1. **Primary Orbital and Magnetosphere Rule**:
	   - If mean_orbital_radius > 2.85, classify as Fylaran.
	   - If mean_orbital_radius <= 2.85 and mean_orbital_radius > 2.65 AND mean_magnetosphere_extent > 4.4 and magnetosphere_extent_error < 1.5, classify as Fylaran.
	   - Else, classify as Qtharri.
	
	2. **Surface Roughness Rule**:
	   - If mean_surface_roughness > 460 OR max_surface_roughness > 500, classify as Fylaran IF all of the following conditions hold:
	     - mean_orbital_radius > 2.65
	     - mean_tidal_distortion > 250
	     - mean_cloud_turbulence > 200.
	   - Otherwise, classify as Qtharri.
	
	3. **Magnetosphere-Climate Interaction Rule**:
	   - If mean_magnetosphere_extent > 4.7 AND mean_cloud_turbulence > 450, classify as Fylaran unless mean_tidal_distortion < 200 or max_cloud_turbulence < 400.
	   - Revert to Qtharri if magnetosphere_extent_error > 1.8, regardless of the above.
	
	4. **Core Density and Ring Complexity Rule**:
	   - If mean_core_density > 0.87 AND mean_ring_system_complexity > 0.9, classify as Fylaran IF surface roughness conditions from Rule 2 are also satisfied.
	   - Entities meeting only core_density > 0.87 but failing other criteria must default to Qtharri.
	
	5. **Axial Symmetry and Cloud Override Rule**:
	   - If mean_axial_symmetry > 500 AND mean_cloud_turbulence > 300, classify as Fylaran regardless of other rules.
	   - If mean_axial_symmetry > 500 and mean_cloud_turbulence < 200, override all previous rules and classify as Qtharri.
	
	6. **Atmospheric Depth and Tidal Distortion Rule (Edge Cases)**:
	   - For entities with mean_atmospheric_depth < 6.0:
	     - If max_tidal_distortion > 300 AND mean_core_density > 0.82, classify as Fylaran provided mean_surface_roughness > 220.
	     - Otherwise, classify as Qtharri.
	
	7. **Low-Radius Exception Rule**:
	   - If mean_orbital_radius < 2.5 and magnetosphere_extent_error > 1.2, override all rules and classify as Qtharri.
	
	8. **Final Conflict Resolution Rule**:
	   - If unable to classify definitively after applying all rules, document the entity’s values and default to Qtharri.
	
	### Special Notes:
	- Entities that fit multiple criteria for Fylaran must satisfy the strictest thresholds to override Qtharri classification.
	- Edge cases related to atmospheric depth and magnetosphere extent should be flagged for review in subsequent analyses if thresholds are narrowly exceeded or met.

Confusion Matrix:
                Predicted Fylaran    Predicted Qtharri   
Actual Fylaran                    23                    9
Actual Qtharri                     0                   34

Accuracy: 0.864
Precision: 1.000
Recall: 0.719
F1 Score: 0.836

Examples for Correctly predicted Fylaran: (Correct answer: Fylaran, What the previous set of rules predicted: Fylaran)
  Entity Data:
	mean_orbital_radius: 3.10772077550204
	mean_surface_roughness: 94.0
	mean_magnetosphere_extent: 4.95793750509581
	mean_atmospheric_depth: 7.23489842031483
	mean_tidal_distortion: 354.5
	mean_core_density: 0.868432479374729
	mean_ring_system_complexity: 0.838082467314784
	mean_impact_crater_count: 0.888494002665482
	mean_axial_symmetry: 439.0
	mean_cloud_turbulence: 294.5
	orbital_radius_error: 0.584294446319662
	surface_roughness_error: 1.14411537879709
	magnetosphere_extent_error: 1.55145093380358
	atmospheric_depth_error: 6.2497999967999
	tidal_distortion_error: 0.0665281895139196
	core_density_error: 0.163554272337961
	ring_system_complexity_error: 0.185391477689779
	impact_crater_count_error: 0.115887876846545
	axial_symmetry_error: 0.129421791055448
	cloud_turbulence_error: 0.0660832807902271
	max_orbital_radius: 3.16505301817069
	max_surface_roughness: 167.0
	max_magnetosphere_extent: 5.03109130266364
	max_atmospheric_depth: 7.33693691370762
	max_tidal_distortion: 160.0
	max_core_density: 0.778816199376947
	max_ring_system_complexity: 0.713063320022818
	max_impact_crater_count: 0.835701153267591
	max_axial_symmetry: 241.0
	max_cloud_turbulence: 376.0


Examples for Falsely predicted Qtharri when it should have been Fylaran: (Correct answer: Fylaran, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.59897910604785
	mean_surface_roughness: 120.0
	mean_magnetosphere_extent: 4.42568460401334
	mean_atmospheric_depth: 6.16981991563206
	mean_tidal_distortion: 559.0
	mean_core_density: 0.854700854700855
	mean_ring_system_complexity: 0.863707030575229
	mean_impact_crater_count: 0.925163522652629
	mean_axial_symmetry: 487.0
	mean_cloud_turbulence: 541.0
	orbital_radius_error: 0.57835974963685
	surface_roughness_error: 0.943504107039286
	magnetosphere_extent_error: 1.48895936814945
	atmospheric_depth_error: 5.21440312979348
	tidal_distortion_error: 0.0866602561731732
	core_density_error: 0.182893411581719
	ring_system_complexity_error: 0.191624633072056
	impact_crater_count_error: 0.106630202100531
	axial_symmetry_error: 0.147139389695622
	cloud_turbulence_error: 0.0712881476824865
	max_orbital_radius: 2.80154054418955
	max_surface_roughness: 232.0
	max_magnetosphere_extent: 4.64822967544854
	max_atmospheric_depth: 6.61015754174298
	max_tidal_distortion: 553.0
	max_core_density: 0.655780706931602
	max_ring_system_complexity: 0.651253663301856
	max_impact_crater_count: 0.851716208159441
	max_axial_symmetry: 536.0
	max_cloud_turbulence: 549.0


Examples for Correctly predicted Qtharri: (Correct answer: Qtharri, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.63116915676625
	mean_surface_roughness: 31.0
	mean_magnetosphere_extent: 4.41751442760344
	mean_atmospheric_depth: 6.24784943220199
	mean_tidal_distortion: 10.0
	mean_core_density: 0.964050554811094
	mean_ring_system_complexity: 0.977899471934285
	mean_impact_crater_count: 0.988425536962173
	mean_axial_symmetry: 9.0
	mean_cloud_turbulence: 71.5
	orbital_radius_error: 0.391407715815619
	surface_roughness_error: 0.684835746730557
	magnetosphere_extent_error: 1.05593560409714
	atmospheric_depth_error: 3.56089876295297
	tidal_distortion_error: 0.0687822651560706
	core_density_error: 0.115974135047432
	ring_system_complexity_error: 0.128530152104477
	impact_crater_count_error: 0.0768439978137525
	axial_symmetry_error: 0.12723993083934
	cloud_turbulence_error: 0.0456179789118282
	max_orbital_radius: 2.68239045432163
	max_surface_roughness: 9.0
	max_magnetosphere_extent: 4.4818719696436
	max_atmospheric_depth: 6.35957386867238
	max_tidal_distortion: 30.0
	max_core_density: 0.897102359379205
	max_ring_system_complexity: 0.893974611121044
	max_impact_crater_count: 0.949072755917469
	max_axial_symmetry: 75.0
	max_cloud_turbulence: 103.5


openai10

Round ID: 329
Prompt used:
	The task is to classify entities as either 'Fylaran' or 'Qtharri' based on their features. Apply the following rules:
	
	1. Classify as 'Fylaran' if the mean_orbital_radius is > 2.6 and the mean_core_density is < 0.92.
	2. Classify as 'Qtharri' if the mean_orbital_radius is <= 2.6 or the mean_core_density is >= 0.92.
	
	Use these rules consistently to make predictions. If any features are missing, label them as 'unknown' and do not classify.

Confusion Matrix:
                Predicted Fylaran    Predicted Qtharri   
Actual Fylaran                    24                    8
Actual Qtharri                     4                   30

Accuracy: 0.818
Precision: 0.857
Recall: 0.750
F1 Score: 0.800

Examples for Correctly predicted Fylaran: (Correct answer: Fylaran, What the previous set of rules predicted: Fylaran)
  Entity Data:
	mean_orbital_radius: 3.18676577094997
	mean_surface_roughness: 536.0
	mean_magnetosphere_extent: 5.0401940963378
	mean_atmospheric_depth: 7.42117752859539
	mean_tidal_distortion: 277.0
	mean_core_density: 0.856017805170348
	mean_ring_system_complexity: 0.836820083682008
	mean_impact_crater_count: 0.889917237696894
	mean_axial_symmetry: 384.0
	mean_cloud_turbulence: 338.0
	orbital_radius_error: 1.0285912696499
	surface_roughness_error: 0.981580358401695
	magnetosphere_extent_error: 2.69202525991121
	atmospheric_depth_error: 12.4819870213039
	tidal_distortion_error: 0.0801748090113098
	core_density_error: 0.169204018864801
	ring_system_complexity_error: 0.212061311888803
	impact_crater_count_error: 0.130996183150503
	axial_symmetry_error: 0.126095202129185
	cloud_turbulence_error: 0.0552539591341652
	max_orbital_radius: 3.46604835398177
	max_surface_roughness: 525.0
	max_magnetosphere_extent: 5.33271879326537
	max_atmospheric_depth: 7.98786409608569
	max_tidal_distortion: 440.0
	max_core_density: 0.707914483930341
	max_ring_system_complexity: 0.632111251580278
	max_impact_crater_count: 0.794091955848487
	max_axial_symmetry: 399.5
	max_cloud_turbulence: 377.0


Examples for Falsely predicted Qtharri when it should have been Fylaran: (Correct answer: Fylaran, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.59076704048748
	mean_surface_roughness: 535.0
	mean_magnetosphere_extent: 4.40854684448328
	mean_atmospheric_depth: 6.17044720263642
	mean_tidal_distortion: 400.0
	mean_core_density: 0.880824451686779
	mean_ring_system_complexity: 0.9021199819576
	mean_impact_crater_count: 0.956370383121976
	mean_axial_symmetry: 413.0
	mean_cloud_turbulence: 488.0
	orbital_radius_error: 0.63663176169588
	surface_roughness_error: 1.34499070628759
	magnetosphere_extent_error: 1.62542302186231
	atmospheric_depth_error: 5.86856030044848
	tidal_distortion_error: 0.0953834367172834
	core_density_error: 0.196086715511276
	ring_system_complexity_error: 0.193984535466104
	impact_crater_count_error: 0.114934764105557
	axial_symmetry_error: 0.137040140105007
	cloud_turbulence_error: 0.0753126815350509
	max_orbital_radius: 2.81241021642645
	max_surface_roughness: 558.0
	max_magnetosphere_extent: 4.63181211693451
	max_atmospheric_depth: 6.646260636284
	max_tidal_distortion: 550.0
	max_core_density: 0.67999456004352
	max_ring_system_complexity: 0.693240901213172
	max_impact_crater_count: 0.872676498821887
	max_axial_symmetry: 442.0
	max_cloud_turbulence: 544.0


Examples for Falsely predicted Fylaran when it should have been Qtharri: (Correct answer: Qtharri, What the previous set of rules predicted: Fylaran)
  Entity Data:
	mean_orbital_radius: 2.73890266458497
	mean_surface_roughness: 512.0
	mean_magnetosphere_extent: 4.57275029473198
	mean_atmospheric_depth: 6.48829266123012
	mean_tidal_distortion: 177.0
	mean_core_density: 0.890471950133571
	mean_ring_system_complexity: 0.908347715505496
	mean_impact_crater_count: 0.962556550197324
	mean_axial_symmetry: 354.5
	mean_cloud_turbulence: 355.0
	orbital_radius_error: 0.504182506638221
	surface_roughness_error: 1.03874924789383
	magnetosphere_extent_error: 1.61709616287962
	atmospheric_depth_error: 4.80728613668877
	tidal_distortion_error: 0.0844866853415377
	core_density_error: 0.215708136146971
	ring_system_complexity_error: 0.195678307433399
	impact_crater_count_error: 0.107796103825695
	axial_symmetry_error: 0.14380542409798
	cloud_turbulence_error: 0.0781728853247723
	max_orbital_radius: 2.84607149899958
	max_surface_roughness: 478.0
	max_magnetosphere_extent: 4.74057482299429
	max_atmospheric_depth: 6.69691078325494
	max_tidal_distortion: 304.0
	max_core_density: 0.704126179411351
	max_ring_system_complexity: 0.712250712250712
	max_impact_crater_count: 0.892458723784025
	max_axial_symmetry: 429.5
	max_cloud_turbulence: 490.5


Examples for Correctly predicted Qtharri: (Correct answer: Qtharri, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.36724860631977
	mean_surface_roughness: 238.0
	mean_magnetosphere_extent: 4.12810165902023
	mean_atmospheric_depth: 5.66052696598524
	mean_tidal_distortion: 98.0
	mean_core_density: 0.948514626095534
	mean_ring_system_complexity: 0.98542555602637
	mean_impact_crater_count: 0.994264090462124
	mean_axial_symmetry: 192.0
	mean_cloud_turbulence: 373.5
	orbital_radius_error: 0.584465567848098
	surface_roughness_error: 1.14542568506211
	magnetosphere_extent_error: 1.50831031289984
	atmospheric_depth_error: 4.58039299623951
	tidal_distortion_error: 0.104785495179438
	core_density_error: 0.112116011345392
	ring_system_complexity_error: 0.101538170162752
	impact_crater_count_error: 0.0627216071222669
	axial_symmetry_error: 0.164103625797848
	cloud_turbulence_error: 0.0545802161959808
	max_orbital_radius: 2.49732916978656
	max_surface_roughness: 256.0
	max_magnetosphere_extent: 4.27819273092867
	max_atmospheric_depth: 5.94332417178005
	max_tidal_distortion: 351.0
	max_core_density: 0.888494002665482
	max_ring_system_complexity: 0.939770132225658
	max_impact_crater_count: 0.975609756097561
	max_axial_symmetry: 380.0
	max_cloud_turbulence: 267.0


Ensemble Confusion Matrix

Predicted +Predicted -
Actual +239
Actual -133

Accuracy 0.848, Precision 0.958, Recall 0.719, F1 0.821