325 lines
6.4 KiB
Plaintext
325 lines
6.4 KiB
Plaintext
Tension Board 2 – Feature Engineering Explanation
|
||
|
||
This document explains the engineered features used for climb difficulty prediction.
|
||
|
||
--------------------------------------------------
|
||
1. BASIC STRUCTURE FEATURES
|
||
--------------------------------------------------
|
||
|
||
angle
|
||
Wall angle in degrees.
|
||
|
||
total_holds
|
||
Total number of holds in the climb.
|
||
|
||
hand_holds / foot_holds
|
||
Number of hand vs foot holds.
|
||
|
||
start_holds / finish_holds / middle_holds
|
||
Counts of hold roles.
|
||
|
||
|
||
--------------------------------------------------
|
||
2. MATCHING FEATURE
|
||
--------------------------------------------------
|
||
|
||
is_nomatch
|
||
Binary feature indicating whether matching is disallowed.
|
||
Derived from:
|
||
- explicit flag OR
|
||
- description text (e.g. “no match”, “no matching”)
|
||
|
||
|
||
--------------------------------------------------
|
||
3. SPATIAL FEATURES
|
||
--------------------------------------------------
|
||
|
||
mean_x, mean_y
|
||
Center of mass of all holds.
|
||
|
||
std_x, std_y
|
||
Spread of holds.
|
||
|
||
range_x, range_y
|
||
Width and height of climb.
|
||
|
||
min_y, max_y
|
||
Lowest and highest holds.
|
||
|
||
height_gained
|
||
Total vertical gain.
|
||
|
||
height_gained_start_finish
|
||
Vertical gain from start to finish.
|
||
|
||
|
||
--------------------------------------------------
|
||
4. START / FINISH FEATURES
|
||
--------------------------------------------------
|
||
|
||
start_height, finish_height
|
||
Average height of start/finish holds.
|
||
|
||
start_height_min/max, finish_height_min/max
|
||
Range of start/finish positions.
|
||
|
||
|
||
--------------------------------------------------
|
||
5. BOUNDING BOX FEATURES
|
||
--------------------------------------------------
|
||
|
||
bbox_area
|
||
Area covered by climb.
|
||
|
||
bbox_aspect_ratio
|
||
Horizontal vs vertical shape.
|
||
|
||
bbox_normalized_area
|
||
Relative coverage of board.
|
||
|
||
hold_density
|
||
Holds per unit area.
|
||
|
||
holds_per_vertical_foot
|
||
Vertical density.
|
||
|
||
|
||
--------------------------------------------------
|
||
6. SYMMETRY FEATURES
|
||
--------------------------------------------------
|
||
|
||
left_holds, right_holds
|
||
Distribution across board center.
|
||
|
||
left_ratio
|
||
Fraction of holds on left.
|
||
|
||
symmetry_score
|
||
Symmetry measure (1 = perfectly balanced).
|
||
|
||
hand_left_ratio, hand_symmetry
|
||
Same but for hand holds.
|
||
|
||
|
||
--------------------------------------------------
|
||
7. VERTICAL DISTRIBUTION
|
||
--------------------------------------------------
|
||
|
||
upper_holds, lower_holds
|
||
Split around median height.
|
||
|
||
upper_ratio
|
||
Proportion of upper holds.
|
||
|
||
|
||
--------------------------------------------------
|
||
8. REACH / DISTANCE FEATURES
|
||
--------------------------------------------------
|
||
|
||
max_hand_reach, mean_hand_reach, std_hand_reach
|
||
Distances between hand holds.
|
||
|
||
hand_spread_x, hand_spread_y
|
||
Spatial extent of hand holds.
|
||
|
||
max_foot_spread, mean_foot_spread
|
||
Foot hold spacing.
|
||
|
||
max_hand_to_foot, mean_hand_to_foot
|
||
Hand-foot distances.
|
||
|
||
|
||
--------------------------------------------------
|
||
9. HOLD DIFFICULTY FEATURES
|
||
--------------------------------------------------
|
||
|
||
mean_hold_difficulty
|
||
Average difficulty of holds.
|
||
|
||
max_hold_difficulty / min_hold_difficulty
|
||
Extremes.
|
||
|
||
std_hold_difficulty
|
||
Variation.
|
||
|
||
median_hold_difficulty
|
||
Central tendency.
|
||
|
||
difficulty_range
|
||
Spread.
|
||
|
||
mean_hand_difficulty / mean_foot_difficulty
|
||
Role-specific difficulty.
|
||
|
||
start_difficulty / finish_difficulty
|
||
Entry and exit difficulty.
|
||
|
||
|
||
--------------------------------------------------
|
||
10. COMBINED / INTERACTION FEATURES
|
||
--------------------------------------------------
|
||
|
||
hand_foot_ratio
|
||
Balance of hands vs feet.
|
||
|
||
movement_density
|
||
Holds per vertical distance.
|
||
|
||
weighted_difficulty
|
||
Height-weighted difficulty.
|
||
|
||
difficulty_gradient
|
||
Difference between start and finish difficulty.
|
||
|
||
|
||
--------------------------------------------------
|
||
11. SHAPE / GEOMETRY FEATURES
|
||
--------------------------------------------------
|
||
|
||
convex_hull_area
|
||
Area of convex hull around holds.
|
||
|
||
convex_hull_perimeter
|
||
Perimeter.
|
||
|
||
hull_area_to_bbox_ratio
|
||
Compactness.
|
||
|
||
|
||
--------------------------------------------------
|
||
12. NEAREST-NEIGHBOR FEATURES
|
||
--------------------------------------------------
|
||
|
||
min_nn_distance / mean_nn_distance
|
||
Spacing between holds.
|
||
|
||
max_nn_distance
|
||
Maximum separation.
|
||
|
||
std_nn_distance
|
||
Spread.
|
||
|
||
|
||
--------------------------------------------------
|
||
13. CLUSTERING FEATURES
|
||
--------------------------------------------------
|
||
|
||
mean_neighbors_12in
|
||
Average nearby holds within 12 inches.
|
||
|
||
max_neighbors_12in
|
||
Max clustering.
|
||
|
||
clustering_ratio
|
||
Normalized clustering.
|
||
|
||
|
||
--------------------------------------------------
|
||
14. PATH FEATURES
|
||
--------------------------------------------------
|
||
|
||
path_length_vertical
|
||
Estimated movement path length.
|
||
|
||
path_efficiency
|
||
Vertical gain vs path length.
|
||
|
||
|
||
--------------------------------------------------
|
||
15. REGIONAL DIFFICULTY FEATURES
|
||
--------------------------------------------------
|
||
|
||
lower_region_difficulty
|
||
Bottom third difficulty.
|
||
|
||
middle_region_difficulty
|
||
Middle third difficulty.
|
||
|
||
upper_region_difficulty
|
||
Top third difficulty.
|
||
|
||
difficulty_progression
|
||
Change in difficulty from bottom to top.
|
||
|
||
|
||
--------------------------------------------------
|
||
16. DIFFICULTY TRANSITIONS
|
||
--------------------------------------------------
|
||
|
||
max_difficulty_jump
|
||
Largest jump between moves.
|
||
|
||
mean_difficulty_jump
|
||
Average jump.
|
||
|
||
difficulty_weighted_reach
|
||
Distance weighted by difficulty.
|
||
|
||
|
||
--------------------------------------------------
|
||
17. NORMALIZED FEATURES
|
||
--------------------------------------------------
|
||
|
||
mean_x_normalized, mean_y_normalized
|
||
Relative board position.
|
||
|
||
std_x_normalized, std_y_normalized
|
||
Normalized spread.
|
||
|
||
start_height_normalized, finish_height_normalized
|
||
Relative heights.
|
||
|
||
spread_x_normalized, spread_y_normalized
|
||
Coverage.
|
||
|
||
|
||
--------------------------------------------------
|
||
18. RELATIVE POSITION FEATURES
|
||
--------------------------------------------------
|
||
|
||
start_offset_from_typical
|
||
Deviation from typical start height.
|
||
|
||
finish_offset_from_typical
|
||
Deviation from typical finish height.
|
||
|
||
mean_y_relative_to_start
|
||
Average height relative to start.
|
||
|
||
max_y_relative_to_start
|
||
Highest point relative to start.
|
||
|
||
|
||
--------------------------------------------------
|
||
19. DISTRIBUTION FEATURES
|
||
--------------------------------------------------
|
||
|
||
y_q25, y_q50, y_q75
|
||
Height quartiles.
|
||
|
||
y_iqr
|
||
Spread.
|
||
|
||
holds_bottom_quartile
|
||
Lower density.
|
||
|
||
holds_top_quartile
|
||
Upper density.
|
||
|
||
|
||
--------------------------------------------------
|
||
SUMMARY
|
||
--------------------------------------------------
|
||
|
||
These features capture:
|
||
|
||
- Geometry (shape, spread)
|
||
- Movement (reach, density, path)
|
||
- Difficulty (hold-based + progression)
|
||
- Symmetry and balance
|
||
- Spatial distribution
|
||
|
||
Together they allow the model to approximate both:
|
||
- physical movement complexity
|
||
- and hold difficulty structure of a climb.
|