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Cumulant Research

Research model

“Cumulant combines human judgment, AI-assisted investigation, and deterministic analysis to study difficult questions in finance, allocation, and research reliability. The aim is not automated judgment. It is greater investigative reach without losing traceability or accountability.

Evidence fieldMultiple analytical paths remain connected to the question that produced them.

Research that leaves a record.

Cumulant studies financial inference, capital allocation, humanitarian finance, replication, and the reliability of AI-assisted research.

The question determines the method. Literature, data, code, criticism, and revision remain part of one inspectable record.

AI extends the investigation. Frozen artifacts, reproducibility checks, and human review keep responsibility with the researcher.

A painted violet boundary holds competing marks inside a deliberate field.
Boundary settingQuestions, constraints, and release rules are declared before results are interpreted.
Research methodA question moves through design, investigation, review, and preservation.

From question to inspectable result.

Cumulant does not force questions through one fixed pipeline. The question determines the method.

Across projects, a small set of disciplines recurs: trace the evidence, test alternatives, reproduce the result, and require human review before release.

Ask
01Find the puzzle

Identify the tension, anomaly, or decision that merits investigation.

02Study the field

Review prior work, competing explanations, and unresolved gaps.

Design
03State the question

Define a specific question and the boundary of the claim.

04Choose the method

Select a design that fits the question instead of forcing a standard recipe.

05Build the evidence

Acquire, validate, and preserve data and sources with provenance.

Investigate
06Analyze

Run deterministic code and save machine-readable outputs.

07Challenge

Use critical review to search for leakage, weak identification, alternative explanations, and unsupported claims.

08Stress-test

Test alternate samples, variables, models, windows, costs, assumptions, and out-of-sample behavior.

Preserve
09Verify

Trace numerical claims and citations to saved evidence.

10Reproduce

Rebuild results from preserved inputs, code, seeds, and configurations.

11Human review

Require human evaluation of the design, interpretation, limitations, and release decision.

12Release

Publish a versioned output with methods, code, data status, limitations, and correction history.

Different strengths. One accountable process.

AI extends the investigation. It does not inherit responsibility.

Human judgmentSets the question, boundaries, interpretations, and release decision.
AI-assisted investigationSearches, compares, drafts, and surfaces alternatives for review.
Deterministic recordComputes, tests, reproduces, and preserves the inspectable artifact.

Current research.

Cumulant works across five connected programs concerned with uncertainty, allocation, inference, and research reliability.

Financial inference & model risk

Statistical inference and model reliability in financial data, where limited decision counts and flexible analysis can make findings fragile.

FOCUS

Backtest inference

Decision timing

Researcher degrees of freedom

Model selection

False discovery

Robustness

Event studies

Statistical fragility

Many painted model paths diverge from one observed trace, with fragile paths fading at the edges.
Financial inference & model riskConceptual visual for Backtest inference, Decision timing, Researcher degrees of freedom. It is not an empirical result.

Selected work.

Current and completed investigations, presented with their actual status, limitations, and evidence record.

Program
Status

•Financial inference & model risk

Structure-Preserving Randomization Inference

Submitted

•Portfolios & capital allocation

Diminishing Marginal Risk Reduction

Research note

•Humanitarian finance

Portfolio Theory for Humanitarian Organizations

Research in progress

•AI-assisted research systems

AI-Assisted Research Validation

Experimental

Research systemsAssisted investigation feeds deterministic records and visible human review.

A research system built to challenge itself.

Software roles help retrieve evidence, write and test code, analyze data, surface alternative explanations, and preserve research state. Deterministic tools produce and verify estimates. External release still requires human-attested review.

Assisted investigationFunctional system diagram. Software assists the work; public release remains a human decision.
Deterministic infrastructureFunctional system diagram. Software assists the work; public release remains a human decision.
Human governanceFunctional system diagram. Software assists the work; public release remains a human decision.

Research beyond the norm.

Independent analysis of the events moving markets, the economy, and policy, one consequential question at a time.

Geopolitics

India replaced about 73% of its lost Gulf crude, but total imports still fell 11%

The Senate voted 86-11 on August 7 for legislation that could add tariffs of up to 100% on goods from major buyers of Russian energy. India's response to the Hormuz disruption shows the policy's physical limit: alternative suppliers replaced most, but not all, of the missing Gulf crude, leaving imports lower even as Russian purchases recovered.

Trade

June imports fell, but the data cannot isolate the temporary surcharge

US imports fell $7.3 billion in June and the trade deficit narrowed $4.4 billion, but the published totals combine surcharge-covered goods with exemptions and goods under other tariff rules. Price-adjusted imports rose in the second quarter, and an abnormal 2025 comparison leaves lower demand, shipment timing and supplier switching unresolved. [June FT900](https://www.census.gov/foreign-trade/Press-Release/ft900/ft900_2606.pdf) [Surcharge proclamation](https://www.whitehouse.gov/presidential-actions/2026/02/imposing-a-temporary-import-surcharge-to-address-fundamental-international-payments-problems/)

Personal Finance

A 6.81% mortgage-rate stress test cuts 36% of June's affordability gain, not all of it

Mortgage applications fell as the Mortgage Bankers Association's weekly contract rate reached 6.81%. Substituting that rate directly into June's National Association of Realtors affordability formula lowers the modeled index from 102.3 to about 99.8, but leaves it above June 2025's 95.5 reading.

Stone sign reading Department of the Treasury and Internal Revenue Service outside the IRS building in Washington, D.C.
Labor

The IRS explained the paid-leave premium method. It did not expand worker eligibility

On August 5, 2026, the IRS told employers how to calculate the Section 45S credit using paid-leave insurance premiums. A comparison of the [notice](https://www.irs.gov/pub/irs-drop/n-26-28.pdf), the [2025 law](https://www.congress.gov/119/plaws/publ21/PLAW-119publ21.pdf) and the [current tax code](https://uscode.house.gov/view.xhtml?edition=prelim&num=0&req=granuleid%3AUSC-prelim-title26-section45S) shows that the IRS clarified the claiming process but did not widen the worker eligibility rules.

Aug 5, 5:44 PM · 10 min

Rows of server racks inside the CyrusOne data center in Carrollton, Texas
Trade

The Trade Deficit Shrunk $189.3 Billion as Four Tech Import Lines Rose $183.5 Billion

The first-half U.S. trade deficit narrowed because exports rose $198.3 billion, not because imports fell. Four technology-hardware import lines rose by $183.5 billion, but the available data cannot show how much represented artificial-intelligence investment or the unwinding of tariff front-loading.

Aug 4, 12:37 PM · 10 min

The neoclassical U.S. Treasury Building in Washington, viewed from the side with the Washington Monument in the background.
Markets

Treasury's $87 Billion Revision Ranks Third in Dollars, and Fourth or Fifth After Scaling

Treasury raised its July-September borrowing estimate by $68 billion and said the increase was $87 billion after excluding a $19 billion opening-cash offset. Across 12 comparable updates since 2015, $87 billion ranks third as a signed dollar revision, fifth as a share of prior financing need, and fourth against a like-for-like cash-adjusted funding gap.

Aug 3, 7:38 PM · 10 min

Cumulant Research

Operating standard

“Every numerical claim is required to trace to a re-derivable artifact. Replication must rebuild reported results. Nulls and failures remain part of the record. Nothing goes public without human-attested review.

Lavender research trajectories move from one question through evidence and review.
Cumulant research modelQuestions branch into evidence, critique, and reproduction before a public record is released.

Built to make research more inspectable.

Cumulant is a developing, independent research initiative founded by Aryan Patel. It studies finance, allocation, and research reliability while keeping verification, judgment, and responsibility visible.

Learn about Cumulant

The rules behind the work.

READ THE PRINCIPLES
01

Evidence before narrative

A compelling explanation is not a substitute for valid evidence.

02

The question determines the method

Methods should fit the question rather than force every project through one recipe.

03

Uncertainty is part of the result

Research should show ranges, instability, and unresolved questions rather than hide them behind one estimate.

04

Null findings belong in the record

A hypothesis that fails still contains information.

05

Reproducibility before persuasion

A result should be inspectable and rerunnable.

06

Criticism improves the work

Alternative explanations and adversarial review reveal where a claim is fragile.

07

AI assists; humans are responsible

Software supports the work. Human researchers approve the design, interpretation, and release.

08

Corrections remain visible

Changes, errors, and revisions stay attached to the record.

09

Claims should match evidence

The language of a conclusion should never exceed the strength of the design.

Bring a question worth understanding.

Cumulant welcomes researchers, statisticians, domain experts, nonprofit practitioners, engineers, independent reviewers, and data contributors.

Collaboration types

Research collaboration

Statistical review

Domain expertise

Nonprofit partnership

Replication

Data contribution

Systems engineering

External criticism

Start a collaboration

Share the question, the evidence available, and where outside scrutiny would help.

THE QUESTION DETERMINES THE METHOD.

EVIDENCE BEFORE NARRATIVE.

UNCERTAINTY IS PART OF THE RESULT.

HUMANS REMAIN RESPONSIBLE.

CUMULANT RESEARCH