King opposition and zugzwang in pawn endgames.
SAE concept sae_5764 fires when king opposition and zugzwang in pawn endgames.. It appears in 10 of 9,950 Climbchess puzzles (0.1%), spanning ELO 1156–2580 (median 2526).
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This page documents King opposition and zugzwang in pawn endgames, 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:
King opposition and zugzwang in pawn endgames.
This pattern fires in 10 of our 9,950 tagged puzzles. The puzzles where it appears span ELO 1156 to 2580, with a median rating of 2526. That distribution tells you whether this is a beginner cue or a master-level subtlety.
Pattern statistics
| Concept ID | sae_5764 |
|---|---|
| Puzzles where it fires | 10 |
| Min ELO | 1156 |
| Median ELO | 2526 |
| Max ELO | 2580 |
| Coverage | 0.10% 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 zXHxU — ELO 1156, themes: crushing, defensiveMove, endgame, side to move: White
- Puzzle zXHxU_F — ELO 1156, themes: crushing, defensiveMove, endgame, side to move: Black
- Puzzle zpo0D — ELO 1368, themes: crushing, endgame, pawnEndgame, side to move: White
- Puzzle zpo0D_F — ELO 1368, themes: crushing, endgame, pawnEndgame, side to move: Black
- Puzzle zpo0D_M — ELO 1368, themes: crushing, endgame, pawnEndgame, side to move: White
- Puzzle zzfwZ — ELO 2526, themes: crushing, defensiveMove, endgame, side to move: White
- Puzzle zzfwZ_F — ELO 2526, themes: crushing, defensiveMove, endgame, side to move: Black
- Puzzle zzfwZ_M — ELO 2526, themes: crushing, defensiveMove, endgame, side to move: White
- Puzzle zY3TZ — ELO 2580, themes: crushing, defensiveMove, endgame, side to move: Black
- Puzzle zY3TZ_F — ELO 2580, themes: crushing, defensiveMove, endgame, side to move: White
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_5764?
King opposition and zugzwang in pawn endgames. 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 10 tagged puzzles (0.1% of the set), spanning Lichess ELO 1156 to 2580 with a median of 2526.
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.