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method
stringlengths
7
14
family
stringclasses
3 values
generator
stringclasses
8 values
avg_rank
float32
8.27
16.8
ci_lo
float32
7.35
15.5
ci_hi
float32
9.2
18.4
p_first
float32
0
0.85
p_top3
float32
0
0.97
n_datasets
int64
6
9
friedman_rank
float32
4.11
18.3
⌀
top_tier
bool
2 classes
p_worse_than_best_holm
float32
0.04
0.41
⌀
tier_wilcoxon
bool
2 classes
fidelity_rank
float32
8.29
17.3
utility_rank
float32
8.25
16.4
pareto_fid_ut
bool
2 classes
norm_fidelity
float32
-0.98
0.73
norm_utility
float32
-0.05
0.89
norm_overall
float32
-0.44
0.78
near_copy_share
float32
0.04
0.62
near_copy_real
float32
0.13
0.13
near_copy_ratio
float32
0.28
1
p_more_copies_holm
float32
1
1
memorisation_flag
bool
1 class
zedge_quilting
optimised selection
zedge_ts
8.267859
7.345294
9.199374
0.85
0.966
9
4.111111
true
null
true
8.286145
8.249572
true
0.423986
0.49957
0.461778
0.230769
0.134615
0.995726
1
false
zedge_zseries
optimised selection
zedge_ts
8.786753
8.275454
9.470819
0.084
0.753
9
5.555555
true
0.410156
true
8.858186
8.715319
false
0.129741
0.391034
0.260387
0.273504
0.134615
0.961538
1
false
zedge_greedy
optimised selection
zedge_ts
8.950539
7.972806
10.004771
0.013
0.717
9
5.333333
true
0.410156
true
8.978385
8.922693
false
0.232564
0.335249
0.283907
0.333333
0.134615
0.92094
1
false
zedge_pctsp
optimised selection
zedge_ts
9.176043
8.13482
10.248704
0.001
0.175
9
6.111111
true
0.292969
true
9.089085
9.263
false
0.10884
0.392321
0.250581
0.320513
0.134615
0.974359
1
false
zedge_knn
optimised selection
zedge_ts
9.33267
8.320401
10.48423
0.001
0.044
9
7
true
0.410156
true
9.295578
9.369762
false
0.417089
0.35991
0.388499
0.311966
0.134615
0.893162
1
false
zedge_atsp
optimised selection
zedge_ts
9.38595
7.833091
11.09578
0.029
0.162
9
6.777778
true
0.410156
true
9.134285
9.637615
false
0.249233
0.355172
0.302202
0.324786
0.134615
0.933761
1
false
zedge_ts_ar
long-series generator
zedge_ts_ar
9.399657
7.992622
10.906876
0.021
0.149
9
7.111111
true
0.410156
true
10.110888
8.688426
false
0.674206
0.891981
0.783094
0.042735
0.134615
0.942308
1
false
zedge_ts_long
long-series generator
zedge_ts_long
9.503231
8.251466
10.887704
0.001
0.034
9
7.333333
true
0.191406
true
9.513685
9.492776
false
0.726432
0.744981
0.735706
0.089744
0.134615
0.679487
1
false
zedge_herding
optimised selection
zedge_ts
10.47508
9.153041
11.879606
0
0
9
11.444445
true
0.107422
true
10.261383
10.688779
false
0.139539
-0.045563
0.046988
0.205128
0.134615
0.863248
1
false
zedge_mbb
optimised selection
zedge_ts
10.581319
9.099214
12.2539
0
0
9
10.777778
true
0.123047
true
10.468817
10.69382
false
0.103772
0.008633
0.056203
0.209402
0.134615
0.793886
1
false
zedge_rand
random selection
zedge_ts
10.748394
9.122207
12.491327
0
0
9
11.777778
true
0.107422
true
10.49117
11.005618
false
0
0
0
0.196581
0.134615
0.854701
1
false
vae_herding
optimised selection
tsgm_vae
13.53152
12.794744
14.298302
0
0
9
13.555555
true
0.044922
false
13.113414
13.949625
false
0.367343
0.235734
0.301538
0.081197
0.134615
0.638231
1
false
vae_zseries
optimised selection
tsgm_vae
13.676116
12.146178
15.237487
0
0
9
11.777778
true
0.054688
true
13.444477
13.907756
false
0.401406
0.278815
0.340111
0.316239
0.134615
0.82906
1
false
diffusion_ts
long-series generator
diffusion_ts
13.779141
11.982678
15.388372
0
0
9
15.555555
false
0.044922
false
14.33871
13.219572
false
0.545723
0.386424
0.466074
0.200855
0.134615
1
1
false
timesfm
long-series generator
timesfm
14.426093
12.564198
16.232767
0
0
6
null
false
0.125
true
15.212121
13.640066
false
-0.420967
0.632663
0.105848
0.615385
0.134615
0.931624
1
false
vae_quilting
optimised selection
tsgm_vae
14.443604
12.640825
16.200951
0
0
9
12.555555
true
0.054688
true
14.195407
14.691802
false
0.09586
0.155019
0.125439
0.200855
0.134615
0.790598
1
false
vae_pctsp
optimised selection
tsgm_vae
15.268209
13.798503
16.665365
0
0
9
14.888889
true
0.044922
false
14.850853
15.685565
false
0.247314
0.04504
0.146177
0.222222
0.134615
0.773504
1
false
vae_atsp
optimised selection
tsgm_vae
15.279693
13.2565
17.097666
0
0
9
15.222222
false
0.044922
false
15.228482
15.330904
false
0.129025
0.177715
0.15337
0.217949
0.134615
0.816239
1
false
vae_greedy
optimised selection
tsgm_vae
15.572559
13.901406
17.186657
0
0
9
15.777778
false
0.044922
false
15.491292
15.653828
false
0.042244
0.104337
0.07329
0.205128
0.134615
0.790598
1
false
chronos
long-series generator
chronos
15.784365
14.035003
17.451708
0
0
7
null
false
0.09375
true
16.399151
15.169579
false
-0.343767
0.094695
-0.124536
0.106838
0.134615
0.279915
1
false
vae_knn
optimised selection
tsgm_vae
16.009752
14.161626
17.701225
0
0
9
17.111111
false
0.044922
false
16.040195
15.979309
false
0.150847
0.02127
0.086058
0.222222
0.134615
0.786325
1
false
vae_mbb
optimised selection
tsgm_vae
16.304638
14.244137
18.203213
0
0
9
17
false
0.044922
false
16.260914
16.348362
false
0.145138
0.009374
0.077256
0.15812
0.134615
0.547009
1
false
vae_rand
random selection
tsgm_vae
16.471233
14.432611
18.393288
0
0
9
17.888889
false
0.044922
false
16.513346
16.429121
false
0
0
0
0.123932
0.134615
0.602564
1
false
timestral
long-series generator
timestral
16.767735
15.531324
18.079439
0
0
9
18.333334
false
0.044922
false
17.295076
16.240395
false
-0.98139
0.095884
-0.442753
0.606838
0.134615
0.862919
1
false

MarathonTS — synthetic long time series and benchmark results

MarathonTS is a benchmark of long synthetic time series. It compares the assembly of a long series from a pool of generated windows (which windows, in what order, how the seams are processed) with long-series generators, including pretrained forecasting models, on 9 open hourly datasets with 10 seeds. Every series is evaluated by its fidelity to the real data (83 metrics against train, validation and an out-of-time split), its utility (TSTR against TRTR in 14 classification and regression tasks), memorisation and cost.

This dataset holds 3,220 synthetic long hourly series and 63,000 synthetic windows generated from seven open datasets by 30 methods — window assembly from generated pools and long-series generators — together with everything measured on them: per-series fidelity metrics, utility predictions, run records, the collected tables, the rankings and the reports of the two published runs.

Resource Link
Paper arXiv (the link is added after the announcement)
Code https://github.com/zypl-ai/MarathonTS
Package https://pypi.org/project/marathonts/ (pip install marathonts)
Documentation https://zypl-ai.github.io/MarathonTS
Leaderboard https://huggingface.co/spaces/zyplai/MarathonTS

Synthetic data

What Folder Size Format
Long series — assembled from windows (stitched) or generated directly <run>/series/<dataset>/<method>/seed<k>.parquet 2,100 (run_h200) + 1,120 (run_l4) series of 5,040 hours (30 weeks) one row per hour, real units
Window pools — generated windows before assembly (not stitched) <run>/pools/<dataset>/<generator>/seed<k>.parquet 140 pools (run_h200: VAE and zEDGE) + 70 (run_l4: VAE), 300 windows of 168 hours each array (300, 168, 3) in [0, 1]

Datasets: beijing_pm25, bike, bitcoin, electricity, household, jena, metro (the synthetic data of ETTh1 and PJM are withheld for licence reasons, see below), 10 seeds each.

Long series. Columns: t (hour, 0 … 5039), value (the synthetic series, in the units of the real one), how (hour of week, 0–167), window (index of the pool window the point comes from; −1 for a long-series generator), piece (consecutive piece of the series), seam (true at the first point after a seam). The method name tells how the series was made:

  • vae_<assembler>, zedge_<assembler> — assembled from the pool of the VAE or of zEDGE by an assembler (rand random, greedy, atsp, pctsp, mbb, knn, quilting, herding, zseries), and <pool>_zseries_{xfade,wsola,quilt} — the same path with the seams processed;
  • diffusion_ts, chronos, timesfm, timestral, zedge_ts_long, zedge_ts_ar — long-series generators (no pool; the seams are the boundaries of their generation chunks).

The same in one table. synthetic/series/ and synthetic/windows/ repeat the series and the pools in long format, with the run, dataset, method (or generator), seed and window as columns; they are the synthetic_series and synthetic_windows configs of this dataset:

from datasets import load_dataset

series = load_dataset("zyplai/MarathonTS", "synthetic_series", split="run_h200")    # 2,100 series, 10.6 M rows
windows = load_dataset("zyplai/MarathonTS", "synthetic_windows", split="run_h200")  # 42,000 windows, 7.1 M rows
one = series.filter(lambda r: r["dataset"] == "bike" and r["method"] == "zedge_quilting" and r["seed"] == 0)

Other configs: leaderboard (the overall leaderboard of each run, default), fidelity and utility (every metric of every series of the main run), datasets (size, split, range and scaling of each dataset).

Window pools. Channel 0 is the value scaled by min-max on the training split, channels 1–2 the hour of week as (sin + 1) / 2 and (cos + 1) / 2. Back to real units: value = lo + x · (hi − lo) with lo, hi of the dataset in <run>/tables/datasets.parquet.

import json
import numpy as np
import pandas as pd
from huggingface_hub import hf_hub_download

repo = dict(repo_id="zyplai/MarathonTS", repo_type="dataset")

# one long synthetic series (stitched from zEDGE windows by image quilting)
series = pd.read_parquet(hf_hub_download(filename="run_h200/series/bike/zedge_quilting/seed0.parquet", **repo))

# one pool of 300 generated windows (not stitched), back to real units
row = pd.read_parquet(hf_hub_download(filename="run_h200/pools/bike/tsgm_vae/seed0.parquet", **repo)).iloc[0]
pool = np.frombuffer(row["data"], dtype=row["dtype"]).reshape(json.loads(row["shape"]))      # (300, 168, 3)
ds = pd.read_parquet(hf_hub_download(filename="run_h200/tables/datasets.parquet", **repo)).set_index("name")
windows = ds.at["bike", "lo"] + pool[:, :, 0] * (ds.at["bike", "hi"] - ds.at["bike", "lo"])  # (300, 168)

Every synthetic series has its fidelity metrics in fidelity/ and its utility in utility/ and tables/utility.parquet, so a series can be chosen by quality. All series of one folder: snapshot_download(**repo, allow_patterns=["run_h200/series/**"], local_dir="marathonts").

Two runs

run_h200/ — main run run_l4/ — replication run
Hardware 1× NVIDIA H200, computing infrastructure of darya.ai 1× NVIDIA L4 (Google Colab)
Methods 30 (24 ranked): the min suite on the VAE pool and on the zEDGE pool, Diffusion-TS, Chronos, TimesFM, Timestral and zEDGE_TS 16 (13 ranked): the min suite on the VAE pool and the four open long-series generators
Role every result of the paper and the leaderboard reproduction check on other hardware

Both runs use profile min of the same code, configuration, datasets, task thresholds and seeds. Ranks are computed within one run, and times measured on different hardware are not compared. On the 13 methods common to both runs, the orders agree with Kendall's τ = 0.64, every mean rank of one run lies inside the 95 % interval of the other (12 of 13 in the other direction), and the top tier is the same up to one borderline method; the places within the tier change. Sources of the differences: the VAE and Diffusion-TS are retrained on another GPU and software stack (the main source), Chronos samples other trajectories with the same seeds, the downstream models differ slightly even on identical series, and the prepared ETT series of the main run differs slightly at the value level from that of the replication run (the source today gives the latter; the cause is not established). Read the leaderboard by tier, not by place.

Overall leaderboard of the main run (all 24 ranked methods)

* proprietary (zypl.ai), evaluated as a black box: results published, code not released.

place method family mean rank 95 % interval P(first) top tier datasets
1 zedge_quilting * assembly 8.27 7.35–9.20 0.85 yes 9
2 zedge_zseries * assembly 8.79 8.28–9.47 0.08 yes 9
3 zedge_greedy * assembly 8.95 7.97–10.00 0.01 yes 9
4 zedge_pctsp * assembly 9.18 8.13–10.25 0.00 yes 9
5 zedge_knn * assembly 9.33 8.32–10.48 0.00 yes 9
6 zedge_atsp * assembly 9.39 7.83–11.10 0.03 yes 9
7 zedge_ts_ar * long-series 9.40 7.99–10.91 0.02 yes 9
8 zedge_ts_long * long-series 9.50 8.25–10.89 0.00 yes 9
9 zedge_herding * assembly 10.48 9.15–11.88 0.00 yes 9
10 zedge_mbb * assembly 10.58 9.10–12.25 0.00 yes 9
11 zedge_rand * assembly (random) 10.75 9.12–12.49 0.00 yes 9
12 vae_herding assembly 13.53 12.79–14.30 0.00 no 9
13 vae_zseries * assembly 13.68 12.15–15.24 0.00 yes 9
14 diffusion_ts long-series 13.78 11.98–15.39 0.00 no 9
15 timesfm long-series 14.43 12.56–16.23 0.00 yes 6
16 vae_quilting assembly 14.44 12.64–16.20 0.00 yes 9
17 vae_pctsp assembly 15.27 13.80–16.67 0.00 no 9
18 vae_atsp assembly 15.28 13.26–17.10 0.00 no 9
19 vae_greedy assembly 15.57 13.90–17.19 0.00 no 9
20 chronos long-series 15.78 14.04–17.45 0.00 yes 7
21 vae_knn assembly 16.01 14.16–17.70 0.00 no 9
22 vae_mbb assembly 16.30 14.24–18.20 0.00 no 9
23 vae_rand assembly (random) 16.47 14.43–18.39 0.00 no 9
24 timestral long-series 16.77 15.53–18.08 0.00 no 9

Contents

Each run folder is an artifacts folder of the benchmark (artifacts/<run>/ in the repository):

Folder Content
tables/, reports/, overall/, leaderboard/, metric_values/, hypotheses/ collected tables, rankings, research questions, reports
fidelity/<dataset>/<method>/ fidelity metrics of each series
records/<dataset>/<method>/ time, memory, hardware and diagnostics of each series
utility/<dataset>/<method>/seed<k>/ metrics.parquet (utility metrics) and predictions.parquet (predictions on the real test rows)
labels/<dataset>/ real test labels and targets
series/<dataset>/<method>/, pools/<dataset>/ synthetic long series; pools of synthetic windows
generators/<dataset>/ weights of the VAE and Diffusion-TS

Beside the run folders, synthetic/series/ and synthetic/windows/ hold the same synthetic series and windows in long format, one file per run and dataset (configs synthetic_series and synthetic_windows).

Not included: the weights of the downstream models (models.parquet; retrained by the same code); for ETTh1 and PJM, everything derived from the data (labels, series, pools, generator weights, predictions — see the licences below; these are regenerated locally by the pipeline); the code and weights of the proprietary zseries, zEDGE and zEDGE_TS (their series, pools and metrics are included); the raw and prepared data, which the benchmark downloads from the original sources.

Download

from huggingface_hub import snapshot_download
snapshot_download("zyplai/MarathonTS", repo_type="dataset",
                  allow_patterns=["run_h200/tables/**", "run_h200/fidelity/**"], local_dir="artifacts")

The analysis needs only tables/: python -m marathonts.hypotheses.run --artifacts-dir artifacts/run_h200 (pip install marathonts).

Licences

Each dataset keeps its licence (LICENSES.md). In short: the metrics, tables and reports are published for all nine datasets; artifacts derived from the data follow the licence of their dataset (CC BY 4.0 for six datasets, CC BY-SA 4.0 for Bitcoin) and are withheld for ETTh1 (CC BY-ND 4.0) and PJM. The timesfm series are outputs of TimesFM 3.0, whose weights are licensed for non-commercial use only.

Citation

Please cite the paper and the original source of every dataset you use:

@misc{varshavskiy2026marathonts,
  title         = {{MarathonTS}: A Benchmark of Long Synthetic Time Series from Window Assembly and
                   Long-Series Generators},
  author        = {Varshavskiy, Ilyas and Shulgin, Sergey and Khalilbekov, Shuhrat and Boboeva, Bonu and
                   Azimi, Azizjon},
  year          = {2026},
  eprint        = {XXXX.XXXXX},
  archivePrefix = {arXiv}
}
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