Datasets:
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 (randrandom,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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