White king adjacent to or within reach of squares controlled by black pawns, in a complex pawn (or bishop-and-pawn) endgame requiring precise king navigation.
SAE concept sae_15582 fires when white king adjacent to or within reach of squares controlled by black pawns, in a complex pawn (or bishop-and-pawn) endgame requiring precise king navigation.. It appears in 22 of 9,950 Climbchess puzzles (0.2%), spanning ELO 605–2695 (median 1875).
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This page documents White king adjacent to or within reach of…, one of 4,505 interpretable chess concepts extracted from Leela Chess Zero via sparse autoencoders. The full feature description from our SAE labelling pipeline reads:
White king adjacent to or within reach of squares controlled by black pawns, in a complex pawn (or bishop-and-pawn) endgame requiring precise king navigation.
This pattern fires in 22 of our 9,950 tagged puzzles. The puzzles where it appears span ELO 605 to 2695, with a median rating of 1875. That distribution tells you whether this is a beginner cue or a master-level subtlety.
Pattern statistics
| Concept ID | sae_15582 |
|---|---|
| Puzzles where it fires | 22 |
| Min ELO | 605 |
| Median ELO | 1875 |
| Max ELO | 2695 |
| Coverage | 0.22% of puzzle set |
Related concepts
The five concepts most often co-firing alongside this one (Jaccard similarity over the puzzle co-occurrence graph) are:
Example puzzles
Below are 10 puzzles spanning the rating distribution. Each links to its own page with full move list and related concepts.
- Puzzle yS8nE — ELO 605, themes: crushing, endgame, long, side to move: Black
- Puzzle zq3Ec — ELO 1189, themes: crushing, endgame, master, side to move: White
- Puzzle zq3Ec_M — ELO 1189, themes: crushing, endgame, master, side to move: White
- Puzzle zorg9_F — ELO 1243, themes: crushing, endgame, pawnEndgame, side to move: Black
- Puzzle zuiiD_M — ELO 1382, themes: crushing, endgame, long, side to move: Black
- Puzzle zw99R_M — ELO 1875, themes: bishopEndgame, crushing, defensiveMove, side to move: White
- Puzzle 00MDy_F — ELO 1920, themes: crushing, endgame, long, side to move: Black
- Puzzle za3nZ — ELO 2274, themes: crushing, defensiveMove, endgame, side to move: Black
- Puzzle za3nZ_M — ELO 2274, themes: crushing, defensiveMove, endgame, side to move: Black
- Puzzle zzee5 — ELO 2695, themes: crushing, defensiveMove, endgame, side to move: Black
How to use this page
If you want to train this pattern, open the Climbchess trainer and filter for puzzles tagged with this concept. The trainer surfaces them at the right difficulty for your current rating, and tracks how often you spot the cue versus miss it. You can also browse the related concepts above to see neighbouring ideas in feature space.
Climbchess concepts are not heuristics written by a human author. Each one corresponds to a single direction in the residual stream of Leela Chess Zero that activates on a specific board feature, then was labelled by reading the top-activating positions. This makes the catalogue exhaustive (every Leela-detectable pattern is in here somewhere) and falsifiable (you can replay our extraction).
Frequently asked
What is SAE concept sae_15582?
White king adjacent to or within reach of squares controlled by black pawns, in a complex pawn (or bishop-and-pawn) endgame requiring precise king navigation. It is one of 4,505 interpretable features extracted from Leela Chess Zero's residual stream via sparse autoencoders, then labelled by reading the top-activating positions.
Where does this pattern appear?
In 22 tagged puzzles (0.2% of the set), spanning Lichess ELO 605 to 2695 with a median of 1875.
How do I train it?
Open the Climbchess trainer and filter for puzzles tagged with this concept. The trainer adapts difficulty using your live recognition profile and tracks how often you spot the cue versus miss it.
Is it free?
Yes. Climbchess is free forever, with no account, email, or signup required. You can delete your data at any time.