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: 3.0568273729138
	mean_surface_roughness: 467.0
	mean_magnetosphere_extent: 4.89335213348152
	mean_atmospheric_depth: 7.14282740116162
	mean_tidal_distortion: 215.0
	mean_core_density: 0.883938831432865
	mean_ring_system_complexity: 0.872219799389446
	mean_impact_crater_count: 0.920107100466494
	mean_axial_symmetry: 491.0
	mean_cloud_turbulence: 93.5
	orbital_radius_error: 0.870402205879558
	surface_roughness_error: 1.22841361112615
	magnetosphere_extent_error: 2.13401030925345
	atmospheric_depth_error: 9.37389993545909
	tidal_distortion_error: 0.0775628777186613
	core_density_error: 0.186601178988773
	ring_system_complexity_error: 0.205718253929981
	impact_crater_count_error: 0.112649900133112
	axial_symmetry_error: 0.1630030674558
	cloud_turbulence_error: 0.0664153596692813
	max_orbital_radius: 3.22763733053677
	max_surface_roughness: 470.0
	max_magnetosphere_extent: 5.05688254526158
	max_atmospheric_depth: 7.46794233228585
	max_tidal_distortion: 158.5
	max_core_density: 0.738606987222099
	max_ring_system_complexity: 0.709320470988793
	max_impact_crater_count: 0.86408018664132
	max_axial_symmetry: 522.0
	max_cloud_turbulence: 347.5


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: 2.64262239577975
	mean_surface_roughness: 308.0
	mean_magnetosphere_extent: 4.42616313016197
	mean_atmospheric_depth: 6.26947499986303
	mean_tidal_distortion: 70.0
	mean_core_density: 0.963493241094914
	mean_ring_system_complexity: 0.999308478532855
	mean_impact_crater_count: 0.995850291833928
	mean_axial_symmetry: 314.0
	mean_cloud_turbulence: 47.0
	orbital_radius_error: 0.635609943282828
	surface_roughness_error: 1.10181668166715
	magnetosphere_extent_error: 1.6109003693587
	atmospheric_depth_error: 5.74108003776293
	tidal_distortion_error: 0.0865505632563994
	core_density_error: 0.0926984358012583
	ring_system_complexity_error: 0.0263058928759318
	impact_crater_count_error: 0.06455230437405
	axial_symmetry_error: 0.147986485869487
	cloud_turbulence_error: 0.0546808924579693
	max_orbital_radius: 2.72326716690707
	max_surface_roughness: 181.5
	max_magnetosphere_extent: 4.51349339741619
	max_atmospheric_depth: 6.43791163693777
	max_tidal_distortion: 52.5
	max_core_density: 0.941699390720494
	max_ring_system_complexity: 0.99815839775614
	max_impact_crater_count: 0.989012075837446
	max_axial_symmetry: 117.0
	max_cloud_turbulence: 32.0


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: 2.90690105984738
	mean_surface_roughness: 185.0
	mean_magnetosphere_extent: 4.7361984483945
	mean_atmospheric_depth: 6.83432400089625
	mean_tidal_distortion: 369.5
	mean_core_density: 0.905715062041482
	mean_ring_system_complexity: 0.887626486774365
	mean_impact_crater_count: 0.922909379528024
	mean_axial_symmetry: 307.5
	mean_cloud_turbulence: 82.0
	orbital_radius_error: 0.556147462459373
	surface_roughness_error: 0.925634917232491
	magnetosphere_extent_error: 1.48087811787466
	atmospheric_depth_error: 5.79913786695919
	tidal_distortion_error: 0.0689710084020815
	core_density_error: 0.122596900450215
	ring_system_complexity_error: 0.152708873350569
	impact_crater_count_error: 0.112338773359869
	axial_symmetry_error: 0.118067777145164
	cloud_turbulence_error: 0.0486004115208915
	max_orbital_radius: 3.03735394824481
	max_surface_roughness: 272.5
	max_magnetosphere_extent: 4.88204405972327
	max_atmospheric_depth: 7.10906213568717
	max_tidal_distortion: 387.0
	max_core_density: 0.806126561870214
	max_ring_system_complexity: 0.747495888772612
	max_impact_crater_count: 0.843383655224762
	max_axial_symmetry: 413.0
	max_cloud_turbulence: 302.0


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: 2.62249231274056
	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 Correctly predicted Qtharri: (Correct answer: Qtharri, What the previous set of rules predicted: Qtharri)
  Entity Data:
	mean_orbital_radius: 2.53369681395743
	mean_surface_roughness: 500.5
	mean_magnetosphere_extent: 4.32055008757213
	mean_atmospheric_depth: 6.03595978699453
	mean_tidal_distortion: 28.0
	mean_core_density: 0.946181212625842
	mean_ring_system_complexity: 0.980642124463098
	mean_impact_crater_count: 0.987040162664219
	mean_axial_symmetry: 406.5
	mean_cloud_turbulence: 168.0
	orbital_radius_error: 0.501198563445667
	surface_roughness_error: 1.33641310978305
	magnetosphere_extent_error: 1.40035709731482
	atmospheric_depth_error: 4.26731765867037
	tidal_distortion_error: 0.0782432105680742
	core_density_error: 0.152872495891184
	ring_system_complexity_error: 0.12633289357883
	impact_crater_count_error: 0.0836540495134575
	axial_symmetry_error: 0.178717654416121
	cloud_turbulence_error: 0.047021271782035
	max_orbital_radius: 2.598235335095
	max_surface_roughness: 471.0
	max_magnetosphere_extent: 4.4114640703275
	max_atmospheric_depth: 6.16856415992078
	max_tidal_distortion: 29.0
	max_core_density: 0.880204207376111
	max_ring_system_complexity: 0.932496573075094
	max_impact_crater_count: 0.954061918618518
	max_axial_symmetry: 453.0
	max_cloud_turbulence: 77.0


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: 2.8130106367387
	mean_surface_roughness: 472.0
	mean_magnetosphere_extent: 4.71133038181648
	mean_atmospheric_depth: 6.65221765985692
	mean_tidal_distortion: 487.5
	mean_core_density: 0.762543846271161
	mean_ring_system_complexity: 0.758955676988464
	mean_impact_crater_count: 0.878966335589347
	mean_axial_symmetry: 556.0
	mean_cloud_turbulence: 558.0
	orbital_radius_error: 1.13666177907063
	surface_roughness_error: 1.56652481627327
	magnetosphere_extent_error: 3.18119474411737
	atmospheric_depth_error: 11.7686022959398
	tidal_distortion_error: 0.111175536877498
	core_density_error: 0.244846890933906
	ring_system_complexity_error: 0.286914621446869
	impact_crater_count_error: 0.173896520954273
	axial_symmetry_error: 0.152872495891184
	cloud_turbulence_error: 0.0777303029712351
	max_orbital_radius: 3.03735394824481
	max_surface_roughness: 472.0
	max_magnetosphere_extent: 4.97466263363744
	max_atmospheric_depth: 7.11232744471091
	max_tidal_distortion: 459.5
	max_core_density: 0.659108884787767
	max_ring_system_complexity: 0.618008775724615
	max_impact_crater_count: 0.802439415824105
	max_axial_symmetry: 464.0
	max_cloud_turbulence: 488.5


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: 2.59897910604785
	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 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: 2.48989419129904
	mean_surface_roughness: 186.5
	mean_magnetosphere_extent: 4.28013232699254
	mean_atmospheric_depth: 5.90672331865289
	mean_tidal_distortion: 542.0
	mean_core_density: 0.903260771384699
	mean_ring_system_complexity: 0.960956343753303
	mean_impact_crater_count: 0.95906701960333
	mean_axial_symmetry: 424.5
	mean_cloud_turbulence: 556.0
	orbital_radius_error: 0.421781934179263
	surface_roughness_error: 1.01488915650922
	magnetosphere_extent_error: 1.14804181108529
	atmospheric_depth_error: 3.50713558335004
	tidal_distortion_error: 0.112338773359869
	core_density_error: 0.153231850475024
	ring_system_complexity_error: 0.134164078649987
	impact_crater_count_error: 0.113357840487546
	axial_symmetry_error: 0.148996644257513
	cloud_turbulence_error: 0.0911756546453054
	max_orbital_radius: 2.5408142817263
	max_surface_roughness: 132.0
	max_magnetosphere_extent: 4.34484384354617
	max_atmospheric_depth: 6.02126603834477
	max_tidal_distortion: 529.0
	max_core_density: 0.831186102568365
	max_ring_system_complexity: 0.888415067519545
	max_impact_crater_count: 0.913125262523513
	max_axial_symmetry: 268.0
	max_cloud_turbulence: 534.0


Ensemble Confusion Matrix

Predicted +Predicted -
Actual +239
Actual -133

Accuracy 0.848, Precision 0.958, Recall 0.719, F1 0.821