Kings are in close proximity in an endgame, with one side having a material or positional advantage that decides the outcome.

By · · 3 min read · Updated May 8, 2026

SAE concept sae_4768 fires when kings are in close proximity in an endgame, with one side having a material or positional advantage that decides the outcome.. It appears in 189 of 9,950 Climbchess puzzles (1.9%), spanning ELO 724–2634 (median 1525).

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This page documents Kings are in close proximity in an endgame, with…, 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:

Kings are in close proximity in an endgame, with one side having a material or positional advantage that decides the outcome.

This pattern fires in 189 of our 9,950 tagged puzzles. The puzzles where it appears span ELO 724 to 2634, with a median rating of 1525. That distribution tells you whether this is a beginner cue or a master-level subtlety.

Pattern statistics

Concept IDsae_4768
Puzzles where it fires189
Min ELO724
Median ELO1525
Max ELO2634
Coverage1.90% 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.

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_4768?

Kings are in close proximity in an endgame, with one side having a material or positional advantage that decides the outcome. 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 189 tagged puzzles (1.9% of the set), spanning Lichess ELO 724 to 2634 with a median of 1525.

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.