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Add SmallReason-ColBERT-32M: base + 129-param importance head

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+ ---
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+ language:
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+ - en
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+ tags:
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+ - ColBERT
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+ - PyLate
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+ - sentence-transformers
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+ - sentence-similarity
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+ - feature-extraction
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+ - late-interaction
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+ - reasoning-retrieval
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+ - edge
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+ - loss:CachedContrastive
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+ base_model: mixedbread-ai/mxbai-edge-colbert-v0-32m
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+ datasets:
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+ - reasonir/reasonir-data
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+ - hanhainebula/bge-reasoner-data
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+ pipeline_tag: sentence-similarity
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+ library_name: PyLate
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+ license: cc-by-nc-4.0
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+ ---
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+
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+ # SmallReason-ColBERT (32M)
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+
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+ An ultra-small late-interaction retriever for **reasoning-intensive** retrieval.
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+ 32M parameters, plus a **129-parameter query-side importance head**.
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+
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+ **21.41 mean nDCG@10 on BRIGHT** — above every ≤33M ColBERT we evaluated, and within
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+ 1.21 of the 4.7× larger 150M Reason-ModernColBERT.
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+
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+ ---
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+
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+ ## ⚠ Read this before loading
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+
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+ This model is a ColBERT base **plus a small importance head** stored in
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+ `importance_head/`. The head is *not* part of `modules.json`, so a standard PyLate /
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+ sentence-transformers load **silently ignores it** and gives you the un-headed base:
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+
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+ | How you load it | What you get | BRIGHT mean |
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+ |---|---|---:|
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+ | `pylate.models.ColBERT(...)` — plain load | base only, head ignored, **no error** | 19.61 |
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+ | `WeightedColBERT.from_base(...)` — see below | full model | **21.41** |
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+
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+ There is no warning when the head is skipped. If you are reproducing the paper number,
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+ use the second path.
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+
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+ ---
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+
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+ ## Usage
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+
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+ The loader is a single file, [`weighted_colbert.py`](https://github.com/DataScience-UIBK/SmallReason-ColBERT/blob/main/src/weighted_colbert.py),
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+ from the companion repository.
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+
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+ ```python
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+ from weighted_colbert import WeightedColBERT
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+
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+ model = WeightedColBERT.from_base(
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+ "DataScience-UIBK/SmallReason-ColBERT-32M", # auto-detects importance_head/
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+ query_length=256,
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+ document_length=2048,
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+ device="cuda:0",
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+ )
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+
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+ queries = ["What factors affect the number of Hadley cells a planet has, and how?"]
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+ docs = [
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+ "Hadley cells are driven by differential solar heating; their number scales with "
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+ "planetary rotation rate and atmospheric depth.",
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+ "The best pasta recipe uses semolina flour and plenty of salted boiling water.",
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+ ]
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+
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+ q_embs, q_weights = model.encode(queries, is_query=True, return_weights=True)
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+ d_embs = model.encode(docs, is_query=False)
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+
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+ for i, d in enumerate(d_embs):
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+ score = WeightedColBERT.weighted_maxsim(q_embs[0], q_weights[0], d)
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+ print(i, float(score))
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+ ```
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+
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+ `weighted_maxsim` implements the evaluation-time score
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+
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+ $$s(q,d) = \frac{\sum_t w_t \cdot \max_j \mathbf{Q}_t \cdot \mathbf{D}_j}{\sum_t w_t}$$
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+
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+ where $w_t = \sigma(\mathbf{W}\mathbf{Q}_t + b)$ is the learned per-query-token gate.
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+ The `1/\sum_t w_t` factor is constant across documents for a fixed query, so it does not
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+ change ranking — it only keeps scores comparable across queries of different length.
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+
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+ ### Base only (no head)
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+
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+ If you want the reasoning-tuned base without the gate (19.61 on BRIGHT), load it as an
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+ ordinary PyLate ColBERT — the head files are simply unused:
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+
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+ ```python
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+ from pylate import models
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+ base = models.ColBERT("DataScience-UIBK/SmallReason-ColBERT-32M",
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+ query_length=256, document_length=2048)
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+ ```
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+
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+ ---
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+
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+ ## Results
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+
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+ ### BRIGHT (nDCG@10 ×100)
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+
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+ Evaluated with brute-force MaxSim, `query_length=256` (Pony: 32), `document_length=2048`.
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+
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+ | Split | upstream 32M | base (no head) | **SmallReason-ColBERT** |
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+ |---|---:|---:|---:|
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+ | biology | 28.70 | 33.16 | **34.17** |
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+ | earth_science | 42.29 | 44.28 | **45.03** |
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+ | economics | 17.65 | **20.25** | 19.99 |
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+ | psychology | 21.93 | 24.91 | **24.94** |
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+ | robotics | 18.09 | **18.65** | 18.14 |
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+ | stackoverflow | 16.49 | 16.66 | **17.21** |
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+ | sustainable_living | 18.64 | 20.11 | **21.07** |
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+ | pony | 12.90 | **22.77** | 19.33 |
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+ | leetcode | 16.15 | 17.40 | **29.98** |
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+ | aops | 9.80 | 4.89 | **10.29** |
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+ | theoremqa_questions | 12.51 | 9.04 | **13.00** |
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+ | theoremqa_theorems | 2.76 | 3.19 | **3.74** |
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+ | **Mean** | 18.16 | 19.61 | **21.41** |
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+
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+ The head is worth **+1.80** mean nDCG@10 over the same base, concentrated in the long,
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+ symbol-dense splits: LeetCode +12.58, AoPS +5.40, TheoremQA-questions +3.96.
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+
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+ ### Reference points
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+
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+ | Model | Params | BRIGHT mean |
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+ |---|---:|---:|
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+ | **SmallReason-ColBERT** | **32M** | **21.41** |
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+ | answerai-colbert-small-v1 | 33M | 18.49 |
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+ | mxbai-edge-colbert-v0-17m | 17M | 18.60 |
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+ | GTE-ModernColBERT-v1 | 150M | 21.72 |
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+ | Reason-ModernColBERT | 150M | 21.97 (our protocol) / 22.62 (published) |
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+
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+ ### NanoBEIR sanity (classical IR)
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+
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+ The gate is trained on long reasoning queries, so it is expected to give a little back
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+ on short keyword queries. It does, but not much:
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+
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+ | Model | All 13 | Excl. Touche-2020 |
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+ |---|---:|---:|
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+ | upstream 32M | 60.47 | 65.51 |
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+ | base (no head) | 60.93 | 65.35 |
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+ | **SmallReason-ColBERT** | 60.00 | 65.00 |
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+
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+ ---
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+
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+ ## How it works
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+
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+ Three stages, on top of `mixedbread-ai/mxbai-edge-colbert-v0-32m`:
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+
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+ 1. **Widen the projection** 64 → 128 dims. The first 64 rows are inherited; the new 64
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+ are initialised from `N(0, σ²)` with `σ` at 10% of the original weight-matrix std —
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+ small enough to leave MaxSim ≈ unchanged at step 0, non-zero so the new channels
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+ actually receive gradient.
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+ 2. **Two-stage base training** — a varied-length warmup on ReasonIR-VL, then a
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+ hard-negative polish on merged ReasonIR-HQ + BGE-Reasoner. Both stages use PyLate's
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+ `CachedContrastive` loss over in-batch negatives.
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+ 3. **Importance head** — freeze the base, train a single `Linear(128, 1)` + sigmoid
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+ (129 parameters) to weight each query token.
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+
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+ ### The one non-obvious trick
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+
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+ The head is **trained against the un-normalised** weighted score
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+ `Σ w_t · max_j(Q_t · D_j)` but **evaluated against the length-normalised** one.
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+
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+ This asymmetry is the single most consequential choice in the recipe. Train against the
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+ normalised score instead and the per-pair score difference is bounded by one token's
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+ cosine range, the cross-entropy gradient collapses, the loss stalls near `ln 2`, the
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+ gates never leave their initialisation — and BRIGHT drops by **3.59** nDCG@10.
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+
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+ The head is initialised `W = 0`, `b = 5`, so every gate starts at `σ(5) ≈ 0.993` and the
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+ head is a no-op against the frozen base at step zero.
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+
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+ ### What the head actually learns
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+
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+ Not soft-IDF. Across ~199K BRIGHT query tokens the gate–IDF Spearman correlation is
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+ **ρ = −0.02** — statistically detectable, practically zero. Per-split mean gate sits in
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+ 0.43–0.47 with std ≈ 0.10: the head is a soft re-weighting, not a selector. A fixed IDF
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+ gate on the same base reaches only 20.06, against 21.41 for the learned head.
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+
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+ ---
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+
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+ ## Training
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+
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+ | | Warmup | Polish | Head |
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+ |---|---|---|---|
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+ | Data | ReasonIR-VL (~245K) | merged ReasonIR-HQ + BGE-Reasoner (~2.7M) | same merged set |
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+ | Loss | CachedContrastive | CachedContrastive | CE over `[s_pos, s_neg]` |
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+ | LR | 1e-5 | 5e-6 | 5e-4 (AdamW, wd=0) |
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+ | Batch | 32/GPU × accum 4 × 8 GPU | 32/GPU × accum 2 × 8 GPU | 16 triples/step, 1 GPU |
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+ | Steps | 1 epoch (~8 h) | 1 epoch (~16 h) | 3,000 steps (~12 min) |
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+ | Lengths | q 256 / doc 2048 | q 256 / doc 2048 | q 256 / doc 2048 |
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+ | Precision | bf16 + FA2 | bf16 + FA2 | fp32 head, frozen bf16 base |
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+
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+ Base training: 8× H100 across two nodes, ~24 h total. Head training: one H100, ~12 min.
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+
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+ ---
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+
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+ ## Limitations
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+
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+ - **Scale.** The recipe was developed and validated at 32M. It does not transfer for
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+ free — the same head at 17M gives **no** gain.
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+ - **Frozen base.** The head is trained on a frozen base; joint fine-tuning is unexplored.
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+ - **Late-interaction cost.** The head is nearly free, but the model still carries
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+ multi-vector storage and scoring costs. The efficiency claim is about parameter count,
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+ not about matching single-vector retrieval.
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+ - **Short queries.** Pony (32-token queries) regresses relative to the un-headed base —
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+ a per-token gate needs tokens to discriminate between.
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+ - **Oblique queries.** On OBLIQ-Bench (stance / intent / tip-of-the-tongue) the model is
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+ near zero (mean 3.66) and is beaten by every baseline there. Reported as a deliberate
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+ negative result; embedding similarity is the wrong tool for that class of query.
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+ - **Synthetic teacher data.** Training data is synthetic with cross-encoder-mined hard
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+ negatives; biases in that mining can propagate.
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+
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+ ## License
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+
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+ **CC-BY-NC-4.0**, inherited from the ReasonIR and BGE-Reasoner training data.
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+ The upstream base model (`mixedbread-ai/mxbai-edge-colbert-v0-32m`) is Apache-2.0, and
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+ the companion training/inference **code** is released under Apache-2.0 — but these
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+ **weights** are non-commercial.
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+
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+ ## Citation
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+
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+ ```bibtex
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+ @inproceedings{smallreason-colbert,
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+ title = {SmallReason-ColBERT: An Ultra-Small Late-Interaction Retriever
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+ for Reasoning Intensive Retrieval},
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+ author = {TBD},
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+ booktitle = {Proceedings of EMNLP},
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+ year = {2026}
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+ }
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+ ```
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+
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+ ## Acknowledgements
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+
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+ Thanks to Antoine Chaffin (LightOn, Reason-ModernColBERT) for flagging the upstream
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+ `2_Dense/use_residual` config bug in `mxbai-edge-colbert-v0-32m` — the base weights were
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+ trained with a residual on that layer while the shipped config said otherwise. This
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+ model uses the patched config (`use_residual: true`).
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