Davis Geometric
Technical study / HELICITY / LAMINAR

LAMINAR / measured incidence beside surrogate controls

Research settingIndependent

HELICITY is the broader market-analysis project. Within it, LAMINAR measures an order-flow coherence label across twelve futures instruments: how often the label appears, how it responds to controlled perturbations, and whether it persists when the surrounding context changes.

Source: HELICITY LAMINAR manuscript, original figures. The rate measures classifier incidence; seed ranges are descriptive and do not establish a trading edge. Inspect the full technical study →

From the research record

Inspect the work

Original figures, recorded values, and explicit model details. Each exhibit identifies its source and what the comparison means.

01 / Original manuscript figure

The classifier responds to surrogate inputs too

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The classifier responds to surrogate inputs too. Original LAMINAR manuscript figure. Dashed lines give matched real-input incidence. Dots are seed results, diamonds their means, and segments their ranges—not confidence intervals. There are three surrogate seeds for 6J, ZT and GC, and two for ES. The denominator here includes terminal bins; the sample table below uses the manuscript’s different L + U + R denominator.

Original LAMINAR manuscript figure. Dashed lines give matched real-input incidence. Dots are seed results, diamonds their means, and segments their ranges—not confidence intervals. There are three surrogate seeds for 6J, ZT and GC, and two for ES. The denominator here includes terminal bins; the sample table below uses the manuscript’s different L + U + R denominator.

03_surrogates.png · Original paper figure; copied without alteration
02 / Original manuscript figure

Session variation and two denominators

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Session variation and two denominators. Original manuscript figure comparing session incidence with tape-level summaries. This companion view exposes variation across sessions and how conditioning on an asserted regime changes the denominator.

Original manuscript figure comparing session incidence with tape-level summaries. This companion view exposes variation across sessions and how conditioning on an asserted regime changes the denominator.

02_incidence.png · Original paper figure; copied without alteration
03 / Manuscript table

The measured sample, with both incidence denominators

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The measured sample, with both incidence denominators
Tape Trades N = L + U + R L / N (%) L / (L + U) (%) Sessions with L / all 2026 period
RTY 421,982 3,370 9.67 16.47 5/5 Jul
6E 133,221 3,231 8.82 14.91 5/5 Jul
YM 277,026 3,299 8.58 15.17 5/5 Jul
CL 3,392,888 12,964 8.07 14.00 19/19 Mar–Apr
ZT 128,267 2,976 7.90 11.60 5/5 Jul
NQ 1,795,518 3,385 7.68 13.18 5/5 Jul
GC 331,552 3,377 7.67 13.45 5/5 Jul
6J 95,882 3,221 7.48 12.31 5/5 Jul
ES 10,298,409 13,303 7.35 12.50 20/20 Mar–Apr
ZB 144,380 2,904 7.30 9.23 5/5 Jul
ZF 263,750 3,060 7.06 8.90 5/5 Jul
ES-apr 8,887,782 13,720 7.01 11.46 20/20 Apr–May
ES-jul 2,088,165 3,385 7.00 11.62 5/5 Jul
ZN-summer 5,647,076 42,144 6.73 9.20 65/65 Apr–Jul
ZN 2,628,030 13,118 6.35 8.55 20/20 Mar–Apr

L = LAMINAR, U = TURBULENT, R = TRANSITIONAL. N excludes initializing and separately recorded terminal bins. Conditioning on an asserted regime drops R from the denominator. These are label-incidence measurements, not returns or trading performance.

sample_table.tex · Table tab:sample; all 15 rows

Read the technical figure

Source: HELICITY LAMINAR manuscript, original figures. The rate measures classifier incidence; seed ranges are descriptive and do not establish a trading edge.

Source: HELICITY LAMINAR manuscript, original figures. The rate measures classifier incidence; seed ranges are descriptive and do not establish a trading edge.

Supporting detail

Complementary technical detail: Source: HELICITY LAMINAR manuscript, original figures. The rate measures classifier incidence; seed ranges are descriptive and do not establish a trading edge.
Complementary technical detail: Source: HELICITY LAMINAR manuscript, original figures. The rate measures classifier incidence; seed ranges are descriptive and do not establish a trading edge.

Risk overlay and order-flow measurement are different tasks

The project README describes a risk overlay rather than a directional call. It acknowledges that its own backtests underperformed buy-and-hold on average and distinguishes defensive behavior in falling markets from general outperformance.

The order-flow work examines spectral and temporal structure of the book. Its synthetic blind trial plants a signal in generated sessions; passing that test shows that the implementation responds to the planted structure, not that the same signal produces an edge in real markets.

The later controls change the interpretation

The reviewed LAMINAR manuscript separates label incidence, perturbation sensitivity, and context dependence. In its control grid, independently resampled session marginals produce mean incidence at least as high as the real inputs in three tested instruments. A label appearing often is therefore insufficient evidence of market-specific organization.

The tested S&P session responds more strongly to price-path permutation. Grafted real segments have higher inside-than-outside incidence for some instruments and lower incidence for others. These mixed findings are substantive: the classifier responds to both selected structure and context, rather than identifying one universal flow state.

Sources, scope, and next question

LAMINAR working paper on SSRN; historical replays and controlled comparisons within HELICITY. The study concerns classifier measurement, not predictive returns or execution performance.

The measurement study should be the representative paper, with returns and execution performance treated as separate downstream questions. Price representation, initialization, withheld labels, and control construction must remain part of each reported incidence.

  1. HELICITY app.
  2. LAMINAR working paper · SSRN.
  3. LAMINAR · local manuscript (PDF).

Additional source versions reviewed

  • helicity/README.md Local project manuscript or report · not republished here
  • helicity/docs/paper/incidence_of_coherent_order_flow.tex Local project manuscript or report · not republished here