EchoTimeExplainable time-series similarity for humans and agents.
Scientific report surface
similarityraw_series

DeepSeek vs Threads: Pearson r 0.94, Spearman rho 1.00, Kendall tau 1.00. The levels line up much more than the day-to-day changes, so the relationship is easier to defend as a broad shape analogy than as a local-dynamics match. The weakest agreement appears in derivative similarity, so timing or regime differences probably matter.

Start with familiar coefficients, then inspect the time-series radar and component bars. This page does not treat the internal aggregate score as the main verdict.

Pearson r0.94linear level match
Spearman rho1.00rank-order match
Mutual info0.64nonlinear dependence
Diff r0.20local change match

Component mean 0.45 across 5 time-series-specific metrics.

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.
Use this as an interpretable comparison summary. If you need alignment paths or distance matrices, pair the result with a lower-level similarity library.
Similarity radarSimilarity radarRadar over the time-series metrics. Read it together with Pearson, Spearman, and mutual info.ShapeDTWTrendDerivativeSpectral
EchoTime series previewSeries previewDeepSeekThreads
EchoTime similarity componentsSimilarity componentsComponent mean 0.45 across 5 time-series metrics.DTW0.61Trend0.54Spectral0.46Shape0.43Derivative0.20
Rolling component meanRolling component meanmean=0.51, min=0.20, max=0.93 across per-window metric means

Familiar statistics

MetricValue
Pearson r0.94
Spearman rho1.00
Mutual info0.64
Diff r0.20
Kendall tau1.00
Best-lag r0.94

Notes and guardrails

  • Both inputs look strongly monotonic or cumulative, so EchoTime tightened the comparison around first differences, differenced DTW, and differenced spectra.
  • Levels or cumulative trajectories are much closer than the first differences, so local change-by-change agreement is weaker than the headline coefficients suggest.
  • Dynamic-time-warping similarity is stronger than direct shape correlation, suggesting similar patterns with shifted timing.

Compact agent context

{
  "type": "similarity",
  "headline": "DeepSeek vs Threads: Pearson r 0.94, Spearman rho 1.00, Kendall tau 1.00. The levels line up much more than the day-to-day changes, so the relationship is easier to defend as a broad shape analogy than as a local-dynamics match. The weakest agreement appears in derivative similarity, so timing or regime differences probably matter.",
  "overall_similarity": 0.43529273365545185,
  "qualitative_label": "low",
  "top_components": [
    {
      "name": "dtw_similarity",
      "score": 0.6080084177188803,
      "level": "high"
    },
    {
      "name": "trend_similarity",
      "score": 0.5402665601624719,
      "level": "moderate"
    },
    {
      "name": "spectral_similarity",
      "score": 0.46428886781680356,
      "level": "moderate"
    }
  ],
  "profile_similarity": null,
  "rolling_summary": null,
  "suggestions": [
    "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."
  ],
  "notes": [
    "Both inputs look strongly monotonic or cumulative, so EchoTime tightened the comparison around first differences, differenced DTW, and differenced spectra."
  ]
}