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Deterministic evidence about embedding spaces and vector indexes for agents: hubness, anisotropy, collapse, distance concentration, ANN recall, HNSW/IVF sweeps. CLI + MCP server.

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vecscope

Embedding space evidence for agents.

Before an agent trusts a vector index, let it see the space it is searching.

PyPI version Python PyPI Downloads
CI Docs MIT license

Quick start · What it measures · Use with an agent · Use in CI · Usage · FAQ · Documentation

pip install vecscope


Agents build RAG pipelines, semantic search and recommendation retrieval every day, but they cannot see the embedding space they are searching.

When retrieval goes wrong it rarely looks like a bug. It looks like:

  • "the same three chunks come back for everything"
  • "every score is 0.8-something"
  • "top-k is full of copies"
  • "brute force finds it and HNSW does not"

Each of those failures has a known, deterministic diagnostic in the literature. vecscope turns them into one command and one JSON:

  • measurements
  • ok / warn / fail verdicts
  • an explanation an agent can act on

It runs locally on NumPy, needs no model or network, and reports the same numbers every time.

vecscope diagnoses the vector search implementation: the geometry the model produced, the hygiene of the corpus, the distance metric, the index and the query pipeline.

It does not measure relevance. Whether the right documents come back for a question needs labeled queries, and a clean audit is evidence that search is not sabotaging retrieval, not proof that retrieval is good.

Quick start

1. Install

pip install vecscope

2. Get a file of embeddings

vecscope reads a file with one embedding vector per row: the (n, dim) array a model's encode returns, saved as .npy, .parquet, .jsonl, .json or .csv (all formats).

import numpy as np
embeddings = model.encode(texts)          # shape (n, dim), e.g. (3000, 128)
np.save("embeddings.npy", embeddings)

No embeddings at hand? Generate three synthetic matrices (healthy, anisotropic, collapsed):

python -c "import urllib.request as u; u.urlretrieve('https://raw.githubusercontent.com/076923/vecscope/main/examples/make_examples.py', 'make_examples.py')"
python make_examples.py

3. Run the audit

vecscope audit embeddings.npy
vecscope x.y.z  n=3000 dim=128 k=10  verdict=FAIL
  [ok  ] hubness                skewness=1.1661  (ok < 2, warn >= 2, fail >= 4)
                               k-occurrence skewness 1.17; top 1% of items take 3.9% of all neighbor slots (max N_k=51, expected 10).
  [WARN] antihubs               antihub_excess=0.0523  (ok < 0.05, warn >= 0.05, fail >= 0.2)
                               5.2% of items are never anyone's neighbor (random data at k=10 would give 0.0%); the excess is unreachable through k-NN retrieval.
                               try: inspect a sample of never-retrieved items; drop empty inputs, then apply the hubness fix
  [FAIL] anisotropy             mean_random_cosine=0.8732  (ok < 0.5, warn >= 0.5, fail >= 0.85)
                               random pairs have mean cosine 0.873 (isotropic ~0); mean unit vector has norm 0.93; centering would bring the cosine to -0.000.
                               try: subtract the corpus mean vector and re-normalize, applying the same transform to queries; details.mean_random_cosine_after_centering shows the expected result
  [ok  ] effective_rank         effective_rank_ratio=0.5407  (ok >= 0.1, warn < 0.1, fail < 0.05)
                               effective rank 69.2 of 128 attainable (128 dims; 54.1%); low values mean most dimensions carry nothing.
  [ok  ] collapse               near_duplicate_ratio=0.0000  (ok < 0.02, warn >= 0.02, fail >= 0.1)
                               0.0% of items have a neighbor with cosine >= 0.99 or an exact copy (exact duplicates 0.0%); no row has a near-duplicate.
  [ok  ] rogue_dimensions       top1_dim_variance_ratio=1.3070  (ok < 10, warn >= 10, fail >= 50)
                               dimension 94 alone holds 1.0% of variance, 1.3x the uniform share of 0.78%; top 3 dims hold 3.0%. Rogue dimensions dominate cosine.
  [ok  ] norms                  norm_cv=0.0000  (ok < 0.1, warn >= 0.1, fail >= 0.3)
                               vector norms vary with CV 0.000 (median 1.000, range 1.000-1.000); 0.00% are zero vectors. Unequal norms bias inner-product search toward long vectors.
  [ok  ] metric_mismatch        topk_overlap=1.0000  (ok >= 0.9, warn < 0.9, fail < 0.7)
                               cosine and inner-product top-10 share 100.0% of neighbors; 100.0% of items get identical lists. Low overlap means the index metric changes the results.
  [ok  ] distance_concentration contrast_over_noise=2.2784  (ok >= 1.4, warn < 1.4, fail < 1.1)
                               on 3000 rows a random item is 3.27x farther than the nearest neighbor (random distance 0.127); isotropic noise at 128-d and the same rows would give 1.44x, so the contrast is 2.28x that of noise. On all rows the contrast is 3.27x (median NN distance 0.039). Near 1.0 means distances carry no signal.
  [ok  ] outliers               outlier_ratio=0.0030  (ok < 0.01, warn >= 0.01, fail >= 0.05)
                               0.30% of items have no neighbor within cosine distance 0.050 (median 0.039); see details.sample_ids. Typically junk, empty or foreign-language content.
  [ok  ] connectivity           island_ratio=0.0000  (ok < 0.01, warn >= 0.01, fail >= 0.1)
                               0.00% of items sit in 0 small island(s) of the k-NN graph (fewer than 15 items; 60 components in total). Graph-based ANN (HNSW) attaches islands to the wrong region or never reaches them.

4. Read the result

  • The first line gives the overall verdict: the worst verdict among the findings.
  • Each finding shows the measured value, the range that would be ok, and a sentence saying what the number means for retrieval. Findings that are not ok add a try: line with the smallest change to test first.
  • The exit code is 1 on FAIL, so the same command works as a CI gate.
  • Add --json to get the same evidence as JSON for an agent or a script.

What vecscope measures

Finding Metric ok warn fail What it means when it fails
hubness skewness of the k-occurrence distribution < 2.0 2.0 to 4.0 ≥ 4.0 a few items appear in everyone's k-NN list and will top every query
antihubs share of items never retrieved as a neighbor, above the random baseline e^-k < 5% 5 to 20% ≥ 20% part of the corpus is unreachable through k-NN
anisotropy mean cosine of random pairs < 0.85 0.85 to 0.95 ≥ 0.95 vectors crowd into a narrow cone, so scores compress into a band; good retrievers sit well below this without losing nDCG, so only extreme values are flagged
effective_rank participation ratio of the covariance spectrum / attainable rank (dim, or rows − 1 when rows do not exceed dims) ≥ 0.10 0.05 to 0.10 < 0.05 most dimensions carry nothing
collapse share of rows with a neighbor at cosine ≥ 0.99 or an exact copy (zero vectors included); details give the duplicate groups and sample pairs < 2% 2 to 10% ≥ 10% top-k is spent on copies of the same item
ann_recall recall@k of ANN neighbors vs exact k-NN, counted by distance so that exact ties (duplicates) are interchangeable; the tie slack is 1e-6 + 2e-6 x distance, two to three times float32 rounding ≥ 0.95 0.85 to 0.95 < 0.85 the index, not the model, is losing results
rogue_dimensions variance of the largest dimension as a multiple of the uniform 1/dim share < 10x 10 to 50x ≥ 50x a few coordinates decide every cosine score
norms coefficient of variation of vector norms < 0.10 0.10 to 0.30 ≥ 0.30 inner-product search favors long vectors; zero vectors are reported too
metric_mismatch top-k overlap between cosine and inner product ≥ 0.90 0.70 to 0.90 < 0.70 the index metric changes which results come back
distance_concentration relative contrast (random distance / nearest-neighbor distance) divided by that of isotropic noise at the same dimension and row count ≥ 1.4 1.1 to 1.4 < 1.1 the nearest neighbor is barely closer than a random item; 1.0 is pure noise
outliers share of items with an abnormally far nearest neighbor < 1% 1 to 5% ≥ 5% junk, empty or foreign items; ids are listed in details
connectivity share of items in small k-NN graph islands < 1% 1 to 10% ≥ 10% self-contained groups too small to be clusters; HNSW attaches them badly or never reaches them
query_gap median query-to-corpus nearest distance divided by the median corpus-to-corpus nearest distance < 2.6 2.6 to 3.0 ≥ 3.0 queries and corpus do not share a space, typically queries embedded by a different model (5 to 10). Pipelines that reproduce published nDCG@10 sit at 0.94 to 2.52; a missing query prefix does not reliably move it
query_shift share of queries farther from the corpus than the median + 3 MAD of a reference query set (needs a baseline) < 20% 20 to 30% ≥ 30% the query pipeline moved since the reference: another model or version, or traffic on topics the corpus does not cover. Healthy query sets score 0 to 9%
ood_queries deprecated, read query_gap: share of queries farther from the corpus than 99% of corpus items are from each other < 50% 50 to 80% ≥ 80% same question as query_gap, but it counts the normal distance between short queries and long passages too (good models score 0 to 65% on BEIR) and false-alarmed on 4 of 18 reproduced pipelines
query_hubness skewness of corpus k-occurrence over query results < 4.0 4.0 to 10.0 ≥ 10.0 the same few items answer most queries; the value tracks nDCG@10 across models (Spearman −0.5 to −0.9), wrong-language models score 11 to 30. It grows with corpus size: good English models score 1.5 to 3.4 up to 26k documents and 4.0 to 4.8 on 58k, so on large corpora compare against a baseline

Every finding in the JSON carries its healthy_range, warn_at and fail_at, plus a details block with the raw numbers. For anisotropy that block includes the cosine the same vectors would have after centering, so the agent can see whether centering alone fixes the problem.

Some findings appear only when you pass their inputs:

  • ann_recall: an ANN neighbor file with --ann
  • query_gap, query_hubness and ood_queries: query embeddings with --queries
  • query_shift: query embeddings, and --baseline also pointing at an earlier audit run with queries

Each finding also carries likely_causes, suggested_action and verify_by. They are hypotheses, not prescriptions:

  • apply the smallest change
  • re-audit
  • compare retrieval on real queries before adopting it

The agent skill spells out that loop.

Thresholds

The thresholds are defaults:

They are a starting point for diagnosis, not a universal quality bar. Embedding spaces differ by model, language, domain and dimensionality, so a warn on a good model is normal and a clean audit does not guarantee good search.

Override any pair per run, or derive them from your own data with vecscope calibrate:

vecscope audit vectors.npy --thresholds my_thresholds.json
# my_thresholds.json: {"anisotropy.mean_random_cosine": [0.4, 0.7], "hubness.skewness": [2.5, 5]}

The keys are listed in src/vecscope/evidence.py (THRESHOLDS) and echoed in every JSON result under thresholds.

Use with an agent

vecscope ships an MCP server with four read-only tools: audit_embeddings, sweep_index, compare_embeddings and describe_findings. Register it with any MCP client:

pip install vecscope
claude mcp add vecscope -- vecscope-mcp --allow-dir /data/embeddings     # Claude Code

Then ask:

Audit the embeddings in data/chunks.npy before we tune the retriever, and tell me
which finding to fix first.

The server reads only the directories named with --allow-dir (without it, the directory it was started in). Use with an agent has the setup for Cursor, Codex and VS Code, the tools and their responses, what the server may read, and the clients it was tested with. The agent skill tells the agent what to do about each verdict.

Use in CI

vecscope audit exits 1 on FAIL. Commit a reviewed --json run as the baseline, and the build fails only when a finding gets worse:

vecscope audit embeddings.npy --json > baseline.json          # once, reviewed and committed
vecscope audit embeddings.npy --baseline baseline.json        # on every rebuild

On GitHub the same gate is an Action:

- uses: 076923/vecscope@v0
  with:
    path: embeddings.npy
    baseline: baseline.json
    sample: "0"

Use in CI covers tolerances for slow drift, which rule failed a run, and the Action's inputs and outputs.

FAQ

Does it send my vectors anywhere?

No. vecscope computes everything with NumPy on your machine. It never loads a model or opens a network connection.

How large a matrix can it handle?

Exact k-NN is quadratic in the number of rows. By default vecscope audits a seeded random sample of 100,000 rows when the input is larger, and says so in the output (sampled: true, n_total).

A sampled result describes the sample, not the whole corpus: rare clusters, small islands and a handful of outliers can be missed.

Row ids in details (sample_ids, sample_pairs, the cluster report) always refer to rows of the input file, also when sampled. Use --sample 0 to audit everything; see performance for what that costs.

To see how much the sample itself moves a number, pass --sample-repeats 3 (MCP: sample_repeats). vecscope then audits three independent seeded samples and attaches value_range (minimum to maximum across samples) and verdict_stable to every finding, and lists unstable_findings at the top level.

A finding whose verdict flips between samples should be read as borderline, not as a property of the corpus. The cost is three audits.

value_range is the spread between samples, not an interval that contains the full-corpus value: hubness is a lower bound on every sample, and even a very stable finding can sit a little outside the range of three samples.

Not every finding means the same thing on a sample: hubness is understated, outliers overcounted, islands mostly invisible. The performance table says what each finding can stand for and which verdicts a sampled audit marks inconclusive.

My production model fails the anisotropy check. Is the model broken?

Not necessarily. Many popular text embedding models are strongly anisotropic by construction.

The finding tells you that raw cosine scores are compressed into a narrow band; centering or whitening the vectors, or re-ranking, usually restores discrimination. The details block reports the cosine after centering so you can see whether that is enough. The verdict is evidence for the agent, not a grade for the model.

Which agents can use it?

Any agent that supports local MCP servers, and any agent that can run a shell command and read JSON. The skill file describes both paths.

Documentation

  • Documentation site: this README and the pages below, searchable
  • Usage: queries and clusters, the index sweep, comparing two embeddings, vector stores, incremental audits, the library, CLI options and input formats
  • Use with an agent: MCP setup per client, tools and responses, what the server may read, tested clients
  • Use in CI: baselines, tolerances, the gate and the GitHub Action
  • Retrieval quality and thresholds: the fix order, real embeddings, whether the findings predict nDCG, calibrating thresholds to your domain
  • Performance: audit time and memory, sampled audits, how vecscope works
  • Agent skill: when to run the audit and what to do with each verdict
  • Retrieval-quality tables: every finding against nDCG@10 on labeled data
  • Verification: exactness, recall scoring, the sampling claims, the query findings, interventions, agent integration, and 19 models on 9 labeled datasets
  • Agent cases: an agent finding and fixing two ingestion faults, and a mis-tuned IVF index, over MCP, with the tool calls and numbers
  • Examples: synthetic matrices, the calibration script and the retrieval-quality study
  • Changelog

Contributing

Issues and pull requests are welcome. See CONTRIBUTING.md for how to run the tests and what a good change looks like. Security reports go through SECURITY.md.

License

MIT

About

Deterministic evidence about embedding spaces and vector indexes for agents: hubness, anisotropy, collapse, distance concentration, ANN recall, HNSW/IVF sweeps. CLI + MCP server.

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