Compositional-generalization checkpoints (recall-then-assemble, Qwen3-4B-Base)

TL;DR

15 checkpoints of Qwen3-4B-Base from one controlled study of whether a model can compose skills it has only ever seen in isolation. Every checkpoint is one cell of that study; cells differ in exactly one training variable, so pairs of folders isolate one effect each. One subfolder = one complete HF model directory (fp32 model.safetensors β‰ˆ 16 GB, tokenizer, chat template).

from transformers import AutoModelForCausalLM, AutoTokenizer
import torch
repo, sub = "Physicsru/compgen-checkpoints", "sft-eco-s1"   # any folder from the table below
tok = AutoTokenizer.from_pretrained(repo, subfolder=sub)
model = AutoModelForCausalLM.from_pretrained(repo, subfolder=sub, torch_dtype=torch.float32)

Which two folders compare what (held-out compositional accuracy at depth 4 / depth 8 unless stated):

contrast without with effect
Co-occurrence atomic data (several independent single-skill tasks in one prompt/answer, width 2-4) β€” cleanest version: identical task stream and steps sft-matched-isolated-s1 sft-matched-grouped-s1 0.65 / 0.16 β†’ 0.93 / 0.47
Co-occurrence atomic data β€” the paper's two models (same compositions; E-co has fewer rows) sft-v1-s1 sft-eco-s1 0.53 / 0.09 β†’ 0.97 / 0.73
Composition demos (depth 2-4, train skills only), atomics single-task sft-d1-s1 sft-v1-s1 0.00 / 0.00 β†’ 0.53 / 0.09
Composition demos, atomics in co-occurrence groups sft-c1-s1 sft-eco-s1 0.66 / 0.08 β†’ 0.97 / 0.73
Depth of the demos (depth-2 only vs depth 2-4, same row count) sft-c4-s1 sft-c4b-s1 0.70 / 0.12 β†’ 0.90 / 0.62
RL (GRPO on train-skill chains + atomic prompts; held-out skills never composed) β€” good outcome sft-eco-s1 rl-mdb-step100 held-out chains d20 0.50 β†’ 0.95
RL β€” drifted outcome (one held-out skill loses a parameter) sft-eco-s1 rl-r1a-step100 d20 0.50 β†’ 0.61; func_24 arity error 25%
Seed only (same RL pool, same init) rl-r1a-step100 rl-r1b-step100 d20 0.61 vs 0.89; arity error 25% vs 1%
Same RL run over time (drift switches on, then off) rl-mda-step5 β†’ rl-mda-step50 β†’ rl-mda-step100 arity error 6% β†’ 44% β†’ 0.3%; d20 0.82 β†’ 0.57 β†’ 0.93
The recall-then-assemble format itself stage15b-init any sft-* 0.03 / 0.00 β†’ …

The four SFT cells sft-d1-s1, sft-v1-s1, sft-c1-s1, sft-eco-s1 form a 2Γ—2 (co-occurrence no/yes Γ— demos no/yes); all SFT cells start from stage15b-init; all RL runs start from sft-eco-s1.

The task

A library of 25 string operators with opaque names func_0 … func_24 (e.g. func_3 = sort the characters; func_24 = a backtracking palindrome transform with a semantically unused depth parameter). The model first learns every operator as an atomic skill (closed-book: given def main_solution(x): return func_3(x) and an input, recall the body of func_3 and write a program). It is then trained on compositions (func_5(func_3(func_1(x, 2)), 'ab')) built only from the 13 train operators; the 12 held-out operators are never composed in any training data. The test asks the model to compose the held-out operators. The answer format is recall-then-assemble (RA): one Recall func_N: <gloss> block with the definition per operator, then one Assemble: block with all definitions plus main_solution.

Metrics: held-out d4 / d8 = program accuracy on held-out-operator programs of expression depth 4 / 8 (256 per depth, eval/heldout_trees_d1-8.parquet); chains d20 = pure nesting chains f1(f2(…f20(x))) over held-out operators (eval/heldout_chains_d1-20.parquet); arity error = fraction of Recall func_24 blocks that drop the second parameter (def func_24(s):), the single failure that separates good and bad RL outcomes. Greedy decoding, 3,072 new tokens.

Lineage

Qwen3-4B-Base
 └─ stage 1: atomic skills with bodies shown (RFT on code execution)
     └─ stage 1.5 "closed-book": 20k depth-1 atomic tasks over all 25 ops + 12k depth-2..4 TRAIN-op
        compositions, prose + one code block (no RA format)                      β†’ stage15b-init
         β”œβ”€ RA bootstrap SFT cells (2 epochs, batch 128, LR 2e-5, seed 1)         β†’ sft-*
         β”‚    all cells share the SAME 10,000 atomic tasks (400 per op, all 25 ops) and differ in
         β”‚    (a) how atomic tasks are packed into answers and (b) which composition rows are added
         └─ (from sft-eco-s1) GRPO, KL 0.01 to the init, 100 steps                β†’ rl-*

Checkpoints

folder init atomic side (10k single-op tasks) composition side RL pool steps held-out numbers
stage15b-init stage 1 20k closed-book depth-1 rows, prose + one code block 12k depth-2..4 train-op comps (same format) β€” 500 d4 / d8 = 0.03 / 0.00 (no RA format yet)
sft-d1-s1 stage15b-init single-task: one op per answer none β€” 152 0.00 / 0.00
sft-v1-s1 stage15b-init single-task 15,979 mixed-structure train-op comps, depth 2-4 β€” 400 0.53Β±0.15 / 0.09Β±0.05 (3 seeds; this seed 0.75 / 0.15)
sft-c1-s1 stage15b-init co-occurrence groups: 1-4 independent single-op tasks in one answer (all ops) none β€” 58 0.66Β±0.14 / 0.08Β±0.04
sft-eco-s1 ("E-co") stage15b-init co-occurrence groups the same 15,979 comps β€” 308 0.97Β±0.02 / 0.73Β±0.15 (this seed 0.98 / 0.83); chains d20 0.50
sft-c4-s1 stage15b-init co-occurrence groups 12,452 mixed comps, depth 2 only β€” 252 0.70Β±0.03 / 0.12Β±0.05
sft-c4b-s1 stage15b-init co-occurrence groups 12,436 mixed comps, depth 2-4 (same count as c4) β€” 252 0.90Β±0.04 / 0.62Β±0.13
sft-matched-isolated-s1 stage15b-init per step: 48 atomic tasks as 48 single-task rows per step: 76 comps (same stream as grouped) β€” 400 0.65Β±0.08 / 0.16Β±0.02 (3 paired seeds)
sft-matched-grouped-s1 stage15b-init per step: the SAME 48 atomic tasks packed into 20 grouped rows the same 76 comps β€” 400 0.93Β±0.03 / 0.47Β±0.04
rl-r1a-step100 sft-eco-s1 β€” β€” 1:1 mix of train-op serial chains d10-20 and all-op multi-task atomic prompts (widths 1-12) 100 chains d8/d12/d20 0.85 / 0.63 / 0.61; arity error 226/903 = 25%
rl-r1b-step100 sft-eco-s1 β€” β€” same pool, different seed 100 0.94 / 0.97 / 0.89; 9/903 = 1%
rl-mda-step5 sft-eco-s1 β€” β€” mixed-depth pool: chains + prompts holding one deep train-op chain task followed by 1-2 long-literal atomic tasks over all ops 5 0.95 / 0.92 / 0.82; 57/903 = 6%
rl-mda-step50 sft-eco-s1 β€” β€” same run 50 0.91 / 0.63 / 0.57; 396/903 = 44%
rl-mda-step100 sft-eco-s1 β€” β€” same run 100 0.97 / 0.97 / 0.93; 3/903 = 0.3%
rl-mdb-step100 sft-eco-s1 β€” β€” mixed-depth pool, second replicate 100 0.99 / 0.98 / 0.95; 33/903 = 3.7%

"Mixed-structure comps" = train-op compositions whose expression trees mix unary nesting, binary operators and literals (the benchmark's native generator). "Co-occurrence groups" put several independent atomic tasks into one prompt/answer so each definition is recalled next to others (no data flow between them). Held-out operators appear in every cell only as depth-1 atomic tasks. All steps: batch 128; SFT 2 epochs.

What each contrast shows (for choosing an analysis)

  • Co-occurrence (isolated vs grouped, v1 vs eco): the failure of the "without" model is a chimera β€” a held-out name written with a train operator's body (1,102 of 1,175 wrong bodies in v1). Decomposed inference (each helper recalled in its own forward pass, then assembled mechanically) scores 1.00 for v1, so the whole gap is nameβ†’definition retrieval under multi-definition load, not missing knowledge. In the matched pair the gap opens from step 100.
  • Composition demos (d1 vs v1, c1 vs eco): without co-occurrence the demos are what makes any multi-helper program possible (d1 never writes one); with co-occurrence the model already composes at mid depth without a single demo (c1 0.66) and the demos buy depth (d8 0.08 β†’ 0.73). Demo diversity matters (c4 vs c4b), demo volume does not (2k vs 12k depth-2 demos: 0.77 vs 0.70).
  • RL (eco vs mdb / r1a, r1a vs r1b, mda over time): RL on train-operator chains lifts deep serial execution for every operator (d20 0.50 β†’ 0.9+), but in some seeds one held-out operator (func_24, whose dropped parameter is semantically inert) loses its second parameter when its call is nested among other library calls. The drift is latent in the SFT init (E-co writes func_24(s) in 0 / 5 / 18% of blocks at nameβ†’argument distance <40 / 40-150 / 150+ chars), tracks the number of other library calls' argument tails between the name and the own argument, is not triggered by builtin-method tails, long literals, definition load or a preceding chain (probe families 1b/1d/1f/1g in eval/), and reverses inside one run (mda 44% β†’ 0.3%). KL 0.01 keeps RL weights close to sft-eco-s1, so weight-difference analyses between eco and any rl-* folder, or between mda steps, are meaningful.

Evaluation inputs (eval/)

file rows what
heldout_trees_d1-8.parquet 2,048 held-out-operator programs, depths 1-8 Γ— 256 (the d4 / d8 numbers)
trainop_trees_d1-8.parquet 2,048 the same over the 13 train operators
heldout_chains_d1-20.parquet 2,816 pure nesting chains over held-out operators, d ∈ {1,2,4,…,20} Γ— 256, outputs ≀ 1,000 chars
trainop_chains_d1-20.parquet 2,816 the same over train operators
probe_1b.parquet 6,912 definition-load probe: target op recalled after r other recalls (teacher-forced prefix)
probe_1d.parquet 1,792 chain-position probe: target op at the outer / middle / inner position of a deep chain
probe_1f.parquet 2,048 builtin-method argument tails in front of the op's own argument
probe_1g.parquet 1,280 long literal (8-200 chars) as the op's first argument

Rows are in the verl code-execution format: prompt (chat messages), reward_model.ground_truth (JSON with ref_code, ref_input, ref_output), extra_info (depth, k = distinct ops, probe condition).

Provenance

Every number is traceable in the project ledger verl/analysis/RESULTS_PROVENANCE.md (sections MAIN RESULT, C1–C5 CAUSAL TABLE, MATCHED SFT, DEEP CHAINS, Mixed-depth arm RESULT, PROBES) to a job id, a sweep directory and a CI / classification report; 3-seed bands are mean Β± sd over trainer seeds 1 / 7 / 123.

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