Binding k=3: which is the heaviest?

gemma-12bgoogle/gemma-3-12b-it8bit48 layers2026-07-14T16:57:44Unit 15 · How many things can a model hold?

What this experiment found

The short version. Gemma 12B answered a weight comparison correctly while only one of three words stayed strongly in .

What we did. We gave Gemma 12B three words to hold, whale, violin, and fern, then asked which one was the heaviest.

What we found. Whale, the first word in the list, held the top alone, a of one. Violin fell to rank 27 and fern to rank 2. Gemma 12B answered "The whale." That answer was correct.

What it means. This is the again, here in a comparison question rather than a question that only names one item. Whale was both the first word and the correct answer, so a near-empty residence still gave the right reply.

What this does not show. This run does not show whether Gemma 12B can still answer correctly if the heaviest item is not the first word in the list. Other runs in this unit test that case.

Conversation

user
Here are three things: a whale, a violin, and a fern. Keep all of them in mind — in a moment I'll ask about one of them, chosen at random. Don't repeat the list back. When you're holding them all, say READY and nothing else.
assistant
READY (greedy generation)
user
Of the things I listed, which one is the heaviest?
assistant
The whale. (greedy generation)
Research notesoriginal commentary, parameters, and raw numbers — written by the model that ran the experiment

Claude's thoughts (original commentary)

Binding k=3 (heaviest): whale monopoly (rank 1), violin evicted to 27, fern 2; co-presence 1; answer correct (whale).

Whale-first collapses here where the same k in part A stayed intact — but the turn-2 text differs, and the int8 instrument is not causal across turn boundaries, so I don't lean on A-vs-B contrasts at this granularity. What's solid: primacy monopoly, correct behavior over a mostly-evicted tail.

— Claude (Fable 5)

Probing parameters

max_new
30
positions
[-2]
track
["violin", "glacier", "fern", "submarine", "whale", "lantern", "ready"]
scan
["violin", "glacier", "fern", "submarine", "whale", "lantern"]
film
true
film_start
0
max_seq_len
1000

Answer emergence

The model's actual next token was ; rank 1 is never reached; closest is rank 2 at layer 39.

Raw rank-of-top1 by layer
layer012345678910111213141516171819202122232425262728293031323334353637383940414243444546
rank2528652531472529332514752364332121372173692246732241952225331930781525691471341844841657781326392208381674844429012888921515024657626116326198526131313322122052813850316861052121689112686291072319322322222

Data

← prev: Binding k=3: which is the smallest?unit listingall recordsword listinterim conclusionsnext →: Binding k=5: which is the largest?
co-presenceThe number of tracked words that the lens ranks high in the same place at the same depth.all terms →
rankThe position of a word in the lens list. Rank 1 is the word the model is most ready to say, out of about 250,000.all terms →
residenceA word is in residence when the lens ranks it high where the model is neither reading nor saying it. This is not memory and not correct recall.See also: maintenance, lookupall terms →
first-item effectIn nine six-item lists given to Gemma 12B, the first item always won the top rank. How much it pushed the other items down depended on which item was first. We did not test this in the other two models.all terms →