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README.md
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- `preln` — standard pre-norm residual block (the control).
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- `loopdeepnorm` — [DeepLoop's](https://arxiv.org/abs/2607.13491) hybrid
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sandwich, `α = (2N)^p` on the residual, `β = (8N)^(−p)` applied once at
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init to the output projections, `N = K · R_ref`. `p = 0` ⇒ `α = β = 1`
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(unscaled).
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- **Loop**: `K` physical blocks applied `R` times; optional Bansal-style input
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injection (`recall = add`). Truncated backprop keeps grad for the last
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`backprop_window = 8` iterations. This gives full gradient coverage at R=8;
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fixed k=8 is **not** comparable at larger R.
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- **Schedules** (`loopbench/schedules.py`): `fixed`, `uniform`,
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`poisson_lognormal`; `n_ref ∈ {max, mean, per_batch}` sets the `N` behind
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`α/β` (research question RQ2).
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- **Tasks** (`loopbench/tasks/`): binary addition, parity, copy, Dyck-1,
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prefix-sums (mod 7). Pure-Python, seeded, emitting `[runs, batch, seq]`
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tensors directly. **Full-answer prediction (FAP)**: the model reads
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`<question> EOQ` and predicts the whole `<answer> EOS`; loss is masked to the
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answer span; the metric is exact match over that span.
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## Throughput levers (built in from day one)
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Tiny models on MPS are overhead-bound, so the grid's wall-clock is attacked by:
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1. **Run-stacking** (`loopbench/stacking.py`) — all seeds of a cell train as one
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`vmap`-ed model (`stack_module_state` + `functional_call` + `vmap`). One
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process, N runs, ~one run's wall time. bf16 is applied by explicit casting,
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not `torch.autocast` (which does not compose under `vmap` on MPS).
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Memory-heavy copy/prefix cells use deterministic seed shards `(0,1)`, `(2,3)`,
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`(4)` and merge their logs; this changes parallelism, not experiment factors.
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2. **No hidden syncs** — metrics accumulate on-device; host transfer every
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`log_every` steps; divergence is a device-side check.
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3. **Truncated backprop** through the loop (in the model).
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4. **Early stopping** with a token ledger.
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5. **On-device pregenerated data** (`loopbench/data.py`) — one pool tensor,
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moved to the device once, indexed per step. No DataLoader.
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Per-run divergence is masked out so one diverging seed cannot poison its
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stack-mates.
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## Quickstart
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```bash
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uv sync --frozen
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uv run pytest # unit tests (tasks, model, stacking, schedules)
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# Stage 0 bring-up + divergence probe (the gate before the grid)
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uv run python scripts/stage0.py
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# A single stacked job
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uv run python -m loopbench.train --task addition --seeds 0,1,2,3,4 \
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--k-layers 2 --R 8 --recall add --device mps
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# Rebuild the committed Stage-1a summary and hero figure
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uv run python scripts/analyze_stage1a.py
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# Rebuild the exploratory Dyck inference-depth probe
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uv run python scripts/analyze_iteration_dynamics.py
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```
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Outputs: per-job JSON in `runs/<name>.json` (config, per-seed training curves,
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ID/OOD exact-match by eval length × inference-R, per-iteration activation norms,
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per-block grad norms, divergence flags, token ledger, tokens/sec) and per-seed
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checkpoints in `checkpoints/<name>/seed_<s>.pt` for full reevaluation.
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The committed CSV/JSON/SVG evidence can be regenerated without the raw training
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runs. Full reevaluation requires the separately distributed checkpoint bundle.
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## Comparability pins (read this before comparing numbers)
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Results here are **internally comparable at R=8 and only qualitatively comparable
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to prior papers**. The pins for the confirmed R=8 study are:
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- **Tokenizer**: task-specific symbol vocabularies (< 50 symbols), shared
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special tokens (`PAD=0`, `EOS=1`, `EOQ=2`).
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- **Supervision**: full-answer prediction (FAP), matching Fan et al. Next-token
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variants are out of scope.
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- **Positions**: RoPE, base 10000 (NoPE available as a flag but PE ablations are
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out of scope).
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- **Optimizer**: Muon on attention/MLP matrices (muon_lr 0.01) + AdamW
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β=(0.9, 0.95), lr 3e-4 on embeddings/head/norms; cosine schedule, warmup, and
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grad clip 1.0. These LoopDeepNorm values were frozen for Stage 1a. Embeddings
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use init std 0.02 to remove the cold-start logit spike.
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- **Precision**: bf16 on MPS (fp32 fallback off-device). Seeds control
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data + init; run-level numeric noise on MPS is reported as part of the
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seed variance.
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- **Checkpoint/evaluation**: weights are selected only by ID validation seed
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4242, then reloaded and evaluated on shared held-out seed 20260721.
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- **Causal scope**: `p` changes residual scaling and output-projection
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initialization together. Without a non-recurrent model trained under the same
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α/β values, the Dyck result is not evidence that the benefit is specific to
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weight tying or recurrence.
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- **Gradient coverage**: k=8 covers all R=8 iterations. The aborted R=32 gate had
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only 25% coverage, so it is documented as a blocked method extension rather
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than evidence about high-recurrence capacity.
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## What this contributes
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- A small Apple-Silicon research harness for stacked independent runs,
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per-seed early stopping, best-checkpoint capture, and memory-safe evaluation.
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- A reproducible separation between improved ID optimization and genuine length
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extrapolation across five tasks, with checkpoint hashes and generated evidence
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artifacts. Prefix-sum is the sharp negative control: large ID gain, zero OOD.
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- A methodological warning for recurrent-depth studies: fixed truncated-BPTT
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windows change credit coverage as R changes.
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- A bounded practical result: a separate one-seed HDFS short-to-long anomaly
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gate did not validate a loop-model advantage; the matched Transformer won on
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far-OOD AUPRC (.699 versus .509), so the transfer study stopped at its gate.
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Stage 1a is consolidated in [STAGE1A_RESULTS.md](STAGE1A_RESULTS.md). The R=32
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extension is deferred until k/R gradient comparability is solved.
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## Documentation
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- [STAGE1A_RESULTS.md](STAGE1A_RESULTS.md) — final metrics, statistical tests,
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limitations, and evidence inventory.
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- [DYCK_REPLICATION_PLAN.md](DYCK_REPLICATION_PLAN.md) — frozen independent
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replication protocol, committed before seeds 15–29 were trained.
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- [RESEARCH_NOTES.md](RESEARCH_NOTES.md) — RASP-L framing and practical-transfer
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rationale.
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- [STAGE1_PLAN.md](STAGE1_PLAN.md) — frozen experiment contract.
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## Citation / license / contact
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Citation metadata is in [CITATION.cff](CITATION.cff).
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LoopBench is available under the [Apache License 2.0](LICENSE).
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Vadim Smirnov · `ukint-vs@proton.me`
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---
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license: apache-2.0
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pretty_name: LoopBench Checkpoints and Evidence
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tags:
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- transformers
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- length-generalization
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- looped-transformers
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---
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# LoopBench checkpoints and evidence
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This repository contains the separately distributed artifacts for
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[LoopBench](https://github.com/ukint-vs/loopbench) v0.1.0.
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- `checkpoints/` — 125 selected PyTorch checkpoints.
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- `runs/` — raw training JSON logs.
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- `artifacts/` — derived CSV/JSON evidence, checkpoint SHA-256 hashes, and the
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summary figure.
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The code, experiment contracts, results, and reproduction commands live in the
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LoopBench GitHub repository. All 125 checkpoint hashes were verified against
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`artifacts/stage1a_metrics.csv` before publication.
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Licensed under Apache-2.0.
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