Similarity Search
Nearest neighbor search benchmarks beyond vectors and beyond metrics. Seven datasets cover six kinds of objects: strings, probability distributions, point clouds, sets, vectors and bit codes. Each dataset comes with the dissimilarities it is meant to be searched with, 26 in all. Some are metrics, some are squares of metrics, and some are neither.
Every file holds a database, 1,000 queries held out from the same collection, and the exact 100 nearest neighbors of every query under every distance of the file. The layout follows the HDF5 files of the SISAP indexing challenges. The DBLP datasets and the bit codes come in several sizes. A larger database is always a superset of the smaller ones, with the same queries.
The datasets were built for the experiments on general dissimilarities of the manuscript A graph-based similarity
search index with online automatic hyperparameter optimization (E. S. Tellez and G. Ruiz, under review). The tables
below report exact search with ExhaustiveSearch, the BK-tree and the spatial access tree, and approximate search
with SearchGraph tuned for a recall of 0.9, all from SimilaritySearch.jl.
The code that builds the datasets, computes the ground truth and runs the benchmarks is in code/.
Contents
| dataset | objects | database sizes | distances | source |
|---|---|---|---|---|
dblp-author-names |
DBLP author identifiers as strings | 100K, 1M, 4M | Levenshtein, LCS, Jaro, Jaro–Winkler | DBLP, October 2026 |
dblp-author-topics |
DBLP authors as distributions over 256 title terms | 100K, 200K | Bray–Curtis, correlation, χ², Jensen–Shannon, Kullback–Leibler, Hellinger | DBLP, October 2026 |
dblp-author-years |
DBLP authors as distributions over 92 publication years | 100K, 200K | 1-D earth mover's distance | DBLP, October 2026 |
dblp-author-clouds |
DBLP authors as clouds of 20 title embeddings of 256 dimensions | 100K, 200K | Hausdorff and Chamfer, over squared L2 | DBLP, October 2026, and EmbeddingGemma-300m |
uci-plants-sets |
plants as sets of the regions where they grow, over 70 regions | 33,781 | Jaccard, Dice, Rogers–Tanimoto | UCI Plants |
nasa |
20-dimensional feature vectors | 39,150 | L0.5, L1, L2, squared L2, L∞, mean squared deviation, cosine | SISAP Metric Space Library |
hiob-bits |
384-bit binary sketches of text embeddings | 100K, 1M, 3M | Hamming, Rogers–Tanimoto, Russell–Rao | GooAQ embeddings of the SISAP 2025 challenge |
Every file has 1,000 queries. The files are <dataset>/<dataset>-n=<size>.h5, where the size label is the number of
database objects: 100K is 100,000 and 1M is 1,000,000. The two collections used whole carry their exact size.
| file | database | queries | distances | size | sha256 |
|---|---|---|---|---|---|
dblp-author-names/dblp-author-names-n=100K.h5 |
100,000 | 1,000 | 4 | 24 MB | a7979c838fab |
dblp-author-names/dblp-author-names-n=1M.h5 |
1,000,000 | 1,000 | 4 | 109 MB | 3468416af506 |
dblp-author-names/dblp-author-names-n=4M.h5 |
4,000,000 | 1,000 | 4 | 390 MB | 67c4dff97266 |
dblp-author-topics/dblp-author-topics-n=100K.h5 |
100,000 | 1,000 | 6 | 126 MB | fae15a5e3bba |
dblp-author-topics/dblp-author-topics-n=200K.h5 |
200,000 | 1,000 | 6 | 244 MB | dc219e9738fe |
dblp-author-years/dblp-author-years-n=100K.h5 |
100,000 | 1,000 | 1 | 50 MB | 618ae41b371b |
dblp-author-years/dblp-author-years-n=200K.h5 |
200,000 | 1,000 | 1 | 97 MB | 851ca72f694b |
dblp-author-clouds/dblp-author-clouds-n=100K.h5 |
100,000 | 1,000 | 2 | 2.39 GB | fbdfab1da9a8 |
dblp-author-clouds/dblp-author-clouds-n=200K.h5 |
200,000 | 1,000 | 2 | 4.68 GB | 91ad35f88e9c |
uci-plants-sets/uci-plants-sets-n=33781.h5 |
33,781 | 1,000 | 3 | 6.9 MB | 0806fd69f47d |
nasa/nasa-n=39150.h5 |
39,150 | 1,000 | 7 | 8.9 MB | 94f32c71a641 |
hiob-bits/hiob-bits-n=100K.h5 |
100,000 | 1,000 | 3 | 16 MB | da8bc3409943 |
hiob-bits/hiob-bits-n=1M.h5 |
1,000,000 | 1,000 | 3 | 60 MB | 2ac70f7a90da |
hiob-bits/hiob-bits-n=3M.h5 |
3,000,000 | 1,000 | 3 | 155 MB | 30f78f2d9d83 |
File format
Each file follows the layout of the SISAP indexing challenges, with one group per distance:
| path | content |
|---|---|
train |
the database, one object per row in h5py and NumPy, one per column in Julia |
itest/queries |
the 1,000 queries, in the same representation |
itest/<distance>/knns |
for each query, the 100 nearest database objects, as 1-based rows of train (int32, 1,000 × 100) |
itest/<distance>/dists |
their distances (float32), in ascending order |
itest/<distance>/at_k, upto_k |
for each query, the number of database objects at exactly, and at most, the distance of its 10th neighbor |
meta/... |
per-object metadata (meta/train/..., meta/itest/...) and the provenance of the sample |
The queries are held out from the same collection before the database is drawn, so they follow the distribution of
the database. The SISAP files call such queries itest, and we keep that name. The neighbor ids are 1-based, as in
the SISAP files. Ties at equal distance are broken by ascending row. Each itest/<distance> group has these
attributes: distance (the Julia expression that computes it), definition, metric, integer_valued, k (10),
kgold (100), algo (exhaustive), querytime (seconds) and ties_at_k (the share of queries whose 10th neighbor
is tied). The root attributes describe the dataset: the object and how to read it in Julia and Python, the list of
distances, the source, the license, and how the sample was drawn.
The representation of train depends on the kind of object:
| dataset | train |
one object |
|---|---|---|
dblp-author-names |
UTF-8 strings, (n,) |
the string; the distances compare Unicode characters |
dblp-author-topics |
float32, (n, 256) |
a probability vector over the 256 terms of meta/vocabulary |
dblp-author-years |
float32, (n, 92) |
a cumulative distribution over the years 1936–2027 (meta/years) |
dblp-author-clouds |
float32, (n, 20, 256) |
20 points of 256 dimensions, unit norm |
uci-plants-sets |
variable-length int32, (n,) |
a sorted set of 1-based region ids (meta/universe_names) |
nasa |
float32, (n, 20) |
a vector |
hiob-bits |
uint64, (n, 6) |
384 bits |
Reading a file in Python:
import h5py
from huggingface_hub import hf_hub_download
path = hf_hub_download("sadit/similarity-search", "dblp-author-names/dblp-author-names-n=100K.h5",
repo_type="dataset")
with h5py.File(path) as h:
names = h["train"].asstr()[:] # 100,000 strings
queries = h["itest/queries"].asstr()[:] # 1,000 strings
knns = h["itest/levenshtein/knns"][:] - 1 # 1,000 x 100, now 0-based rows of names
dists = h["itest/levenshtein/dists"][:]
print(dict(h["itest/levenshtein"].attrs))
Reading a file in Julia, and checking it with an exact search:
using HDF5, SimilaritySearch
h = h5open("dblp-author-names-n=100K.h5")
db = VectorDatabase(collect.(read(h["train"]))) # each name as a Vector{Char}
Q = VectorDatabase(collect.(read(h["itest/queries"])))
knns = read(h["itest/levenshtein/knns"]) # 100 x 1,000, 1-based
ids, dists = searchbatch(ExhaustiveSearch(SimilaritySearch.Dist.Seqs.Levenshtein(), db), GenericContext(), Q, 10)
Point clouds read as a 256 × 20 × n array in Julia: MatrixDatabase(A[:, :, i]) is the cloud i, one point per
column. code/hf/benchmark.jl reads every dataset this way.
Distances
The metric column says whether a distance is a metric on the objects (yes), the square of a metric (√d: its square
root is a metric and ranks the neighbors in the same order), or neither (no). Exact metric indexes apply directly to
the metrics, and to the square roots of the √d distances. The classification follows the manuscript, which also
reports a random search for triangles that break the inequality. "Integer" marks the distances that take only integer
values, which a BK-tree needs. Kullback–Leibler is not symmetric: the query is always the first argument.
| dataset | distance | definition | metric | integer | Julia |
|---|---|---|---|---|---|
| names | levenshtein |
the fewest insertions, deletions and substitutions of Unicode characters | yes | yes | Dist.Seqs.Levenshtein() |
| names | lcs |
|a| + |b| − 2 LCS(a, b), the fewest insertions and deletions | yes | yes | Dist.Seqs.LCS() |
| names | jaro |
1 − Jaro similarity | no | no | StringDistances.Jaro() |
| names | jaro-winkler |
1 − Jaro–Winkler similarity: prefix scale 0.1 over at most 4 characters, applied when the Jaro distance is at most 0.3 | no | no | StringDistances.JaroWinkler() |
| topics | bray-curtis |
Σ|x − y| / Σ(x + y) | √d | no | Distances.BrayCurtis() |
| topics | correlation |
1 − Pearson correlation | √d | no | Distances.CorrDist() |
| topics | chi-squared |
Σ (x − y)² / (x + y) | √d | no | Distances.ChiSqDist() |
| topics | jensen-shannon |
½ KL(x ‖ m) + ½ KL(y ‖ m), m = (x + y) / 2, natural logarithm | √d | no | Distances.JSDivergence() |
| topics | kullback-leibler |
KL(query ‖ object) = Σ x log(x / y), natural logarithm | no | no | Distances.KLDivergence() |
| topics | hellinger |
√(1 − Σ √(x y)) | yes | no | Distances.HellingerDist() |
| years | emd-1d-years |
L1 between the cumulative distributions: the earth mover's distance on the unit-spaced year axis | yes | no | Dist.L1() |
| clouds | hausdorff |
max over the two directions of the max over one cloud of the squared distance to the nearest point of the other | √d | no | Dist.Cloud.Hausdorff(Dist.SqL2()) |
| clouds | chamfer |
mean over each cloud of the squared distance to the nearest point of the other, the two means added | no | no | Dist.Cloud.Chamfer(Dist.SqL2()) |
| plants | jaccard |
1 − |A ∩ B| / |A ∪ B| | yes | no | Dist.Sets.Jaccard() |
| plants | dice |
1 − 2 |A ∩ B| / (|A| + |B|) | √d | no | Dist.Sets.Dice() |
| plants | rogers-tanimoto |
2m / (70 + m), m = |A △ B| | yes | no | Dist.Sets.RogersTanimoto(70) |
| nasa | l0.5 |
(Σ |x − y|^0.5)² | √d | no | Dist.Lp(0.5) |
| nasa | l1 |
Σ |x − y| | yes | no | Dist.L1() |
| nasa | l2 |
√Σ (x − y)² | yes | no | Dist.L2() |
| nasa | sql2 |
Σ (x − y)² | √d | no | Dist.SqL2() |
| nasa | linf |
max |x − y| | yes | no | Dist.LInfty() |
| nasa | msd |
Σ (x − y)² / 20 | √d | no | Distances.MeanSqDeviation() |
| nasa | cosine |
1 − cos(x, y), on the raw vectors | √d | no | Dist.Cosine() |
| bits | hamming |
the number of differing bits, 0 to 384 | yes | yes | Dist.Bits.Hamming() |
| bits | rogers-tanimoto |
2h / (384 + h), h the Hamming distance | yes | no | Dist.Bits.RogersTanimoto() |
| bits | russell-rao |
1 − (bits set in both) / 384; d(x, x) is not 0 | no | no | Dist.Bits.RussellRao() |
Dist is SimilaritySearch.Dist. Distances.jl and StringDistances.jl distances work with SimilaritySearch.jl
unchanged. Some pairs rank the neighbors in the same order: L2, squared L2 and MSD; Hamming and Rogers–Tanimoto on bit
codes; and Jaccard and Dice. They are kept because an approximate search compares distance values, not only their
order, so a monotone change of the distance changes the search even when the true neighbors stay the same.
Ground truth
For each query and distance, the gold standard is the exhaustive search over the whole database. Each distance is
stored in single precision. The distances are sorted with a stable sort, so ties go to the lower row, and the 100
nearest are kept. The at_k and upto_k counts show how many database objects tie with the 10th neighbor. Ties are frequent
under the integer-valued distances and on the sets. There, many different answers are equally correct, and recall
by identifiers depends on which tied objects the gold standard happens to list. The benchmark tables therefore report
two recalls:
- by identifiers, the share of the 10 true identifiers that the search returns, as in the SISAP challenges;
- with ties, the share of the 10 answers whose distance is at most the distance of the 10th true neighbor. This
one is 1 for every exact search, and it is the one to read when the
tiescolumn is high.
Benchmarks
Measured on 3 identical nodes (Intel(R) Xeon(R) Silver 4216 CPU @ 2.10GHz), 64 threads, Julia 1.12.7, SimilaritySearch.jl 1.6.8.
Each index answers the 1,000 queries with k = 10, in one batch over all the threads. Queries per second is the median of at least three timed passes. The percentage after it is the number of distance evaluations per query as a share of the database.
- ExhaustiveSearch evaluates every database object. It applies to every distance.
- BKT is a BK-tree. It applies to the integer-valued metrics: Levenshtein, LCS and Hamming.
- SAT is the spatial access tree (
SpatialAccessTree.Sat, default construction). It applies to the metrics, and to the √d distances through their square root. Its answers are then exact for the original distance. - SearchGraph is built incrementally with a logarithmic neighborhood of base 1.5 and the library's construction
target,
MinRecall(0.97). Its adjacency is then frozen, andoptimize_index!tunes the search forMinRecall(0.9)on up to 1,024 database objects drawn with a fixed seed and masked from their own search. The tuning never sees the queries, so the recall on the queries can land a little below or above 0.9. The last column gives the construction and tuning times.
The ties column is the share of queries whose 10th neighbor is tied with the 11th or a later one. A dash means
that the index does not apply to that distance.
dblp-author-names
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| Levenshtein | yes | 100K | 93% | 229 qps | 270 qps, 80% | 247 qps, 87% | 0.745 / 0.995 | 8.6K qps, 1.7% | 26 + 5.1 |
| Levenshtein | yes | 1M | 94% | 23 qps | 34 qps, 54% | 30 qps, 64% | 0.721 / 0.992 | 6.1K qps, 0.19% | 201 + 8.1 |
| Levenshtein | yes | 4M | 94% | 6.1 qps | 12 qps, 37% | 10.0 qps, 46% | 0.727 / 0.992 | 2.8K qps, 0.07% | 1,376 + 21 |
| LCS | yes | 100K | 91% | 245 qps | 293 qps, 76% | 259 qps, 90% | 0.811 / 0.996 | 10.0K qps, 1.9% | 28 + 4.9 |
| LCS | yes | 1M | 92% | 24 qps | 38 qps, 50% | 27 qps, 71% | 0.804 / 0.993 | 6.3K qps, 0.25% | 227 + 8.0 |
| LCS | yes | 4M | 91% | 7.1 qps | 14 qps, 34% | 8.1 qps, 58% | 0.808 / 0.998 | 2.6K qps, 0.18% | 789 + 17 |
| Jaro | no | 100K | 38% | 184 qps | — | — | 0.920 / 0.954 | 12K qps, 1.5% | 41 + 4.8 |
| Jaro | no | 1M | 49% | 28 qps | — | — | 0.926 / 0.975 | 8.3K qps, 0.23% | 288 + 7.3 |
| Jaro | no | 4M | 52% | 4.0 qps | — | — | 0.901 / 0.961 | 7.5K qps, 0.04% | 1,589 + 16 |
| Jaro–Winkler | no | 100K | 26% | 220 qps | — | — | 0.930 / 0.948 | 16K qps, 1.1% | 36 + 4.7 |
| Jaro–Winkler | no | 1M | 40% | 28 qps | — | — | 0.932 / 0.964 | 15K qps, 0.14% | 205 + 6.7 |
| Jaro–Winkler | no | 4M | 46% | 6.3 qps | — | — | 0.911 / 0.952 | 7.2K qps, 0.04% | 625 + 16 |
dblp-author-topics
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| Bray–Curtis | √d | 100K | 0.60% | 3.7K qps | — | 1.1K qps, 100% | 0.927 / 0.928 | 36K qps, 1.6% | 18 + 4.2 |
| Bray–Curtis | √d | 200K | 0.60% | 1.5K qps | — | 606 qps, 100% | 0.925 / 0.926 | 24K qps, 1.1% | 25 + 4.2 |
| correlation | √d | 100K | 0% | 23 qps | — | 23 qps, 100% | 0.909 / 0.909 | 4.0K qps, 0.55% | 84 + 7.4 |
| correlation | √d | 200K | 0.10% | 12 qps | — | 12 qps, 100% | 0.919 / 0.919 | 2.9K qps, 0.36% | 191 + 11 |
| χ² | √d | 100K | 0% | 3.3K qps | — | 1.1K qps, 100% | 0.933 / 0.933 | 45K qps, 2.0% | 20 + 4.2 |
| χ² | √d | 200K | 0.10% | 1.6K qps | — | 543 qps, 100% | 0.904 / 0.904 | 29K qps, 1.1% | 26 + 4.2 |
| Jensen–Shannon | √d | 100K | 0% | 41 qps | — | 39 qps, 100% | 0.942 / 0.942 | 1.6K qps, 2.1% | 144 + 8.0 |
| Jensen–Shannon | √d | 200K | 0% | 20 qps | — | 20 qps, 100% | 0.915 / 0.915 | 1.5K qps, 1.1% | 308 + 12 |
| Kullback–Leibler | no | 100K | 0% | 94 qps | — | — | 0.914 / 0.914 | 4.9K qps, 1.5% | 67 + 6.0 |
| Kullback–Leibler | no | 200K | 0.10% | 46 qps | — | — | 0.915 / 0.915 | 3.9K qps, 0.99% | 158 + 7.1 |
| Hellinger | yes | 100K | 0% | 914 qps | — | 560 qps, 100% | 0.949 / 0.949 | 22K qps, 2.2% | 17 + 4.2 |
| Hellinger | yes | 200K | 0% | 434 qps | — | 270 qps, 100% | 0.911 / 0.911 | 20K qps, 1.1% | 39 + 4.4 |
dblp-author-years
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| EMD 1-D | yes | 100K | 1.3% | 6.6K qps | — | 15K qps, 15% | 0.934 / 0.936 | 308K qps, 0.31% | 12 + 4.4 |
| EMD 1-D | yes | 200K | 1.1% | 3.3K qps | — | 6.9K qps, 12% | 0.927 / 0.929 | 319K qps, 0.18% | 12 + 4.3 |
dblp-author-clouds
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| Hausdorff | √d | 100K | 0.50% | 13 qps | — | 13 qps, 100% | 0.900 / 0.901 | 142 qps, 6.9% | 1,662 + 47 |
| Hausdorff | √d | 200K | 0.60% | 6.1 qps | — | 6.0 qps, 100% | 0.886 / 0.886 | 110 qps, 4.5% | 4,910 + 59 |
| Chamfer | no | 100K | 0% | 12 qps | — | — | 0.937 / 0.937 | 616 qps, 1.6% | 275 + 18 |
| Chamfer | no | 200K | 0% | 6.6 qps | — | — | 0.940 / 0.940 | 376 qps, 1.3% | 601 + 25 |
uci-plants-sets
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| Jaccard | yes | 33,781 | 88% | 16K qps | — | 29K qps, 44% | 0.670 / 0.995 | 222K qps, 2.7% | 8.2 + 4.0 |
| Dice | √d | 33,781 | 88% | 18K qps | — | 20K qps, 57% | 0.646 / 0.991 | 232K qps, 2.7% | 8.3 + 4.0 |
| Rogers–Tanimoto | yes | 33,781 | 98% | 15K qps | — | 26K qps, 55% | 0.553 / 0.999 | 252K qps, 2.9% | 8.0 + 4.0 |
nasa
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| L0.5 | √d | 39,150 | 0% | 1.1K qps | — | 1.4K qps, 94% | 0.902 / 0.902 | 141K qps, 0.67% | 9.2 + 4.0 |
| L1 | yes | 39,150 | 0% | 31K qps | — | 24K qps, 47% | 0.946 / 0.946 | 507K qps, 0.59% | 8.1 + 4.2 |
| L2 | yes | 39,150 | 0% | 39K qps | — | 37K qps, 38% | 0.935 / 0.935 | 705K qps, 0.53% | 8.0 + 4.1 |
| L2² | √d | 39,150 | 0% | 43K qps | — | 39K qps, 36% | 0.959 / 0.959 | 587K qps, 0.56% | 8.2 + 4.5 |
| L∞ | yes | 39,150 | 0% | 39K qps | — | 51K qps, 26% | 0.956 / 0.956 | 570K qps, 0.81% | 8.5 + 4.2 |
| MSD | √d | 39,150 | 0% | 32K qps | — | 35K qps, 37% | 0.960 / 0.960 | 695K qps, 0.55% | 8.0 + 4.0 |
| cosine | √d | 39,150 | 0% | 3.2K qps | — | 6.9K qps, 38% | 0.931 / 0.931 | 305K qps, 0.51% | 8.6 + 4.1 |
hiob-bits
| distance | metric | n | ties | ExhaustiveSearch | BKT | SAT | SearchGraph recall (ids / ties) | SearchGraph | build + tune (s) |
|---|---|---|---|---|---|---|---|---|---|
| Hamming | yes | 100K | 39% | 38K qps | 9.7K qps, 100% | 9.1K qps, 99% | 0.947 / 0.972 | 492K qps, 0.62% | 9.5 + 4.1 |
| Hamming | yes | 1M | 43% | 3.8K qps | 434 qps, 95% | 589 qps, 87% | 0.935 / 0.960 | 264K qps, 0.07% | 24 + 4.2 |
| Hamming | yes | 3M | 40% | 1.2K qps | 116 qps, 91% | 180 qps, 73% | 0.877 / 0.900 | 336K qps, 0.02% | 82 + 4.1 |
| Rogers–Tanimoto | yes | 100K | 39% | 14K qps | — | 5.2K qps, 100% | 0.933 / 0.959 | 456K qps, 0.55% | 9.5 + 3.9 |
| Rogers–Tanimoto | yes | 1M | 43% | 1.5K qps | — | 322 qps, 97% | 0.949 / 0.976 | 246K qps, 0.06% | 28 + 4.0 |
| Rogers–Tanimoto | yes | 3M | 40% | 482 qps | — | 97 qps, 91% | 0.942 / 0.964 | 246K qps, 0.02% | 88 + 4.1 |
| Russell–Rao | no | 100K | 60% | 29K qps | — | — | 0.906 / 0.958 | 462K qps, 0.83% | 9.5 + 4.1 |
| Russell–Rao | no | 1M | 60% | 3.3K qps | — | — | 0.889 / 0.936 | 257K qps, 0.08% | 28 + 4.1 |
| Russell–Rao | no | 3M | 62% | 1.0K qps | — | — | 0.908 / 0.954 | 195K qps, 0.03% | 169 + 4.2 |
What the tables show. These are the measured ranges over the 49 pairs of file and distance.
- The spatial access tree evaluates between 12% and 100% of the database. It prunes well only on the year distributions, at 12% to 15%. On the topic profiles, the point clouds and the 100K bit codes it evaluates 99% or more.
- The BK-tree prunes more as the database grows. Under Levenshtein it evaluates 80% of the names at 100K, 54% at 1M and 37% at 4M. On the bit codes it evaluates 91% to 100%.
- In 22 of the 45 tree runs, the tree answers fewer queries per second than the exhaustive search.
- SearchGraph evaluates between 0.017% and 6.9% of the database, and it answers 10 to 1,900 times as many queries per second as the exhaustive search. Its recall with ties is between 0.886 and 0.999. Two cases land just below 0.9: Hausdorff on the 200K clouds, at 0.886, and Hamming on the 3M bit codes, at 0.877 by identifiers and 0.900 with ties.
The raw records, with more measures per index, are in results/.
How the datasets were built
Each dataset has a datasheet in code/ with every filter, what it discards, the statistics and the known
issues. This section summarizes them. Every random draw uses a fixed seed, and every build records the checksums of
its inputs and the commit of its code (see provenance/).
DBLP base tables
The three DBLP datasets start from the monthly release of the dblp computer science bibliography of 2026-10-03
(DOI 10.4230/dblp.xml.2026-10-03, CC0 1.0). The XML is read as a
stream. It keeps the articles, conference papers and book chapters that have no publtype (CoRR preprints and other
informal entries are left out) and that have at least one author. This leaves 7,418,235 papers. A second table lists
every DBLP author identifier, 4,087,894 in all, with the author's papers. An identifier is DBLP's person name, with
its 4-digit suffix when DBLP has told apart several people with the same name (Wei Wang 0001). A bare name next to
suffixed ones is DBLP's catch-all profile for that name, and it can mix several people. The datasets keep such
profiles and mark them in meta/.../kind. See
code/dblp-2026-10-papers/README.md and
code/dblp-2026-10-authors/README.md.
dblp-author-names
The objects are the author identifiers as strings, with their suffixes, capitalization and diacritics. One permutation
of all 4,087,894 identifiers is drawn with numpy.random.default_rng(20261016) and stored. The queries are its first
1,000 entries, and the database is the next n entries. The 1M and 4M versions are therefore supersets of the 100K
version, with the same queries. The median name has 14 characters. See
code/dblp-author-names/README.md.
dblp-author-topics and dblp-author-years
Both datasets hold the same authors in the same order: the 243,930 authors with at least 20 papers and at least 20 occurrences of the vocabulary terms in their titles, permuted with the same seed. The queries are the first 1,000.
- Topics. Titles are lowercased, accents are folded, and the tokens of three or more letters are kept, minus English stop words and a short list of title boilerplate. The vocabulary is the 256 terms with the highest document frequency. An author's profile is the count of each term over all their titles, smoothed with 0.5 and normalized, so that Kullback–Leibler is defined.
- Years. An author's papers per year, from 1936 to 2027, normalized.
trainstores the cumulative distribution, so that the L1 distance between two rows is the 1-D earth mover's distance between the two careers.
The raw counts are in meta/train/term_counts and meta/train/year_counts. See
code/dblp-author-distributions/README.md.
dblp-author-clouds
Each author is the cloud of the embeddings of 20 of their paper titles. The candidates are the 244,783 authors with
at least 20 papers whose titles are not generic. A title is generic when it occurs at least 50 times in DBLP, such as
"Editorial" or "Preface". The 20 papers of each author are drawn with a generator seeded by the author, so a cloud
does not depend on which other authors are drawn. Each title is embedded with
EmbeddingGemma-300m with its clustering prompt. The output is
truncated to its first 256 of 768 components and renormalized to unit length. The distance between two points is the
squared Euclidean distance, which on unit vectors equals 2 − 2 cos. The 200K version reuses the embeddings of the
papers already in the 100K version and embeds the rest in the same way. The papers behind each cloud are in
meta/train/cloud and meta/papers (DBLP key and title). See
code/dblp-author-clouds/README.md.
uci-plants-sets
Each plant of the UCI Plants data, from the USDA PLANTS database, is
the set of the US states and Canadian provinces where it occurs, over 70 regions. All 34,781 plants are used, with no
deduplication. 1,000 of them, drawn with default_rng(20261016), are the queries, and the other 33,781 are the
database. Many plants share the same set. 75% of the queries have an exact copy of their set in the database, so ties
are massive. See code/uci-plants-sets/README.md.
nasa
The NASA collection of the SISAP Metric Space Library: 40,150 feature vectors of 20 dimensions extracted from images
of NASA's archives. It is used as distributed, with 39,150 database vectors and 1,000 queries. See
code/nasa/README.md.
hiob-bits
384-bit binary sketches of the GooAQ text embeddings of the SISAP 2025 indexing challenge (development set, 3,001,496
database vectors and 11,000 in-distribution queries). The sketches were trained and binarized with
HIOB, with cosine as the metric of the embeddings. The database is a seeded sample of
the codes: the first n entries of a stored permutation, sorted by source position, so the larger versions are
supersets. The 1,000 queries are a seeded sample of the 11,000 query codes. See
code/hiob-bits/README.md.
Reproducing
The builds use Python for the data preparation and Julia for the gold standards and the benchmarks.
- Python:
code/pyproject.tomlandcode/uv.lock(uv). - Julia 1.12:
code/Project.tomlandcode/Manifest.toml, with SimilaritySearch.jl 1.6.8, Distances.jl, StringDistances.jl and HDF5.jl.
code/REPRODUCE.md lists the commands, from the raw sources to the published files and the
tables. A benchmark of one file, for example:
julia --project=code -t 64 code/hf/benchmark.jl dblp-author-names/dblp-author-names-n=100K.h5 levenshtein
Known issues
- Ties. Recall by identifiers is ill-defined for most queries under Levenshtein and LCS and on the plant sets. Read the recall with ties or a distance-based error instead.
- People and identifiers. A DBLP catch-all identifier can mix several people. About 4% of the authors of the topics, years and clouds datasets are catch-alls. A few identifiers are organizations.
- Generic research words. The topic vocabulary keeps words such as "systems" or "analysis". Only explicit title boilerplate was removed. The vocabulary is English.
- Repeated points. About 4% of the clouds contain two papers with the same title, hence two identical points.
- NASA. How the library split the 1,000 queries from the 40,150 vectors is not recorded.
Licenses
The code in code/ and the benchmark records in results/ are under the MIT license, in
code/LICENSE. The data files keep the licenses of their sources:
| dataset | license of the data |
|---|---|
dblp-author-names, dblp-author-topics, dblp-author-years |
CC0 1.0, as the dblp data |
dblp-author-clouds |
CC0 1.0, as the dblp data; the embeddings were produced with EmbeddingGemma-300m under the Gemma Terms of Use |
uci-plants-sets |
CC BY 4.0, as UCI Plants. Cite: USDA, NRCS. 2008. The PLANTS Database (http://plants.usda.gov/, 31 December 2008). National Plant Data Center, Baton Rouge, LA 70874-4490 USA |
nasa |
none stated by the SISAP Metric Space Library |
hiob-bits |
Apache 2.0, as GooAQ |
Citation
@misc{similarity-search,
author = {Tellez, Eric S. and Ruiz, Guillermo},
title = {Similarity Search: nearest neighbor benchmarks for strings, distributions, point clouds, sets, vectors and bit codes},
year = {2026},
publisher = {Hugging Face},
howpublished = {\url{https://huggingface.co/datasets/sadit/similarity-search}}
}
Please also cite the sources: the dblp computer science bibliography (DOI 10.4230/dblp.xml.2026-10-03), the USDA PLANTS database as above, the SISAP Metric Space Library (K. Figueroa, G. Navarro and E. Chávez), GooAQ (D. Khashabi et al., 2021) and the SISAP 2025 indexing challenge.
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