EchoTime Explainable time-series similarity for humans and agents.
Homepage

Compare time series and datasets with explainable structural similarity.

EchoTime compares time series and time-series datasets, explains why they match or differ, and emits compact JSON plus shareable HTML reports. The homepage is intentionally short. Tutorials, API material, and ecosystem detail now live in dedicated docs pages with a left sidebar.

MIT LicenseBeta releaseAgent toolsGitHub PagesThe University of Birmingham
MIT License Beta release The University of Birmingham
Maintainer

Zipeng Wu

The University of Birmingham

zxw365@student.bham.ac.uk https://zipengwu365.github.io/EchoTime/ EchoTime title card
Product overview

One homepage, separate documentation, and a clearer information hierarchy

This layout is closer to scikit-learn than to a single long landing page. The front page explains the product quickly; the docs area handles tutorials, API reference, scenarios, and ecosystem positioning with a persistent sidebar.

Quickstart

The first interaction should still be obvious

Copy-paste
pip install echotime
python -c "import numpy as np; from echotime import compare_series; x=np.sin(np.linspace(0,8*np.pi,128)); y=np.sin(np.linspace(0,8*np.pi,128)+0.2); print(compare_series(x,y).to_summary_card_markdown())"
Expected output
# EchoTime similarity summary
overall similarity: ...
top components: shape similarity, trend similarity, spectral similarity
Showcase

One strong example, then deeper material in docs

The homepage only needs enough proof to earn a click into the docs. It should not carry the whole manual.

EchoTime series previewSeries previewOpenClaw-style candidatedurable breakout analog
Plain-English similarity preview
# EchoTime similarity summary

**Compared:** OpenClaw-style candidate vs durable breakout analog

## Headline

OpenClaw-style candidate vs durable breakout analog: Pearson r 1.00, Spearman rho 1.00, Kendall tau 1.00. The best agreement appears in spectral similarity and trend similarity.

## Familiar statistics

| metric | value |
|---|---:|
| Pearson r | 1.000 |
| Spearman rho | 1.000 |
| Kendall tau | 1.000 |
| Best-lag Pearson r | 1.000 |
| Mutual info | 0.805 |
| First-difference r | 0.924 |

## Time-series-specific metrics

| plain-language label | score |
|---|---:|
| spectral similarity | 0.988 |
| trend similarity | 0.983 |
| shape similarity | 0.961 |
| derivative similarity | 0.924 |

## Recommended next actions

- Plot both series after z-score normalization to show the shared shape without scale differences.
- Run rolling or windowed similarity if you expect the relationship to change over time.
- Use structural-profile similarity when scales, frequencies, or observation modes differ too much for raw-shape comparison.
- For cumulative or monotonic inputs, compare first differences or daily increments before making an analog claim.
- Inspect spectral or seasonality-aware models because the two series share rhythm strongly.
EchoTime similarity componentsSimilarity componentsComponent mean 0.95 across 5 time-series metrics.Spectral0.99Trend0.98Shape0.96Derivative0.92DTW0.88
Rolling component meanRolling component meanmean=0.45, min=0.22, max=0.96 across per-window metric means
EchoTime social card - GitHub breakout analogsEchoTimeGitHub breakout analogsOpenClaw-style candidate vs durable breakout analog• Pearson r 1.00• Spearman rho 1.00• Mutual info 0.81• DTW 0.88explainable time-series similarity for humans and agents
EchoTime social card - Website traffic structureEchoTimeWebsite traffic structuretraffic | reliability 0.80• Top axis: complexity• Top axis: rhythmicity• Top axis: trend strength• Structural context for better matchingexplainable time-series similarity for humans and agents
Flagship demos

Built to travel beyond the docs

OpenClaw-style GitHub breakout analogs

Ask whether a new repo looks like a durable breakout or a short viral spike.

Is this a real breakout or just a viral spike?
BTC vs gold vs oil under shocks

Ask which assets become more similar during macro or geopolitical stress.

When stress hits, does BTC behave more like gold or oil?
Heatwave vs grid load

Ask which load curves drift or switch regime under extreme weather.

Which grid loses structural stability first in a heatwave?
Next step

Use the docs like a docs site, not like a landing page appendix

If you want tutorials, API detail, or ecosystem guidance, go to the left-sidebar docs area. That separation is what makes the site easier to scan and easier to trust.