Structural Enforcement of Statistical Rigor in AI-Driven Discovery: A Functional Architecture

📅 2025-11-10
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🤖 AI Summary
AI scientist systems face diminished statistical rigor and elevated false discovery risk due to dynamic hypothesis testing. Method: This paper proposes a structured, functional-programming–based assurance framework centered on a novel Research Monad and declarative scaffolding mechanism. Implemented as a Haskell embedded domain-specific language (eDSL) with a monad transformer stack, it enforces online false discovery rate (FDR) correction, strict data isolation, and state consistency constraints *during* LLM-generated code execution—thereby eliminating data leakage and multiple-comparison bias at the architectural level. Contribution/Results: Evaluated across 2,000 simulated hypothesis tests and end-to-end scientific case studies, the framework significantly improves statistical robustness and reproducibility of automated discoveries, establishing a formal, trustworthy foundation for AI-driven scientific research.

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📝 Abstract
Sequential statistical protocols require meticulous state management and robust error handling -- challenges naturally suited to functional programming. We present a functional architecture for structural enforcement of statistical rigor in automated research systems (AI-Scientists). These LLM-driven systems risk generating spurious discoveries through dynamic hypothesis testing. We introduce the Research monad, a Haskell eDSL that enforces sequential statistical protocols (e.g., Online FDR (false discovery rate) control) using a monad transformer stack. To address risks in hybrid architectures where LLMs generate imperative code, we employ Declarative Scaffolding -- generating rigid harnesses that structurally constrain execution and prevent methodological errors like data leakage. We validate this approach through large-scale simulation (N=2000 hypotheses) and an end-to-end case study, demonstrating essential defense-in-depth for automated science integrity.
Problem

Research questions and friction points this paper is trying to address.

Enforcing statistical rigor in AI-driven discovery systems
Preventing spurious discoveries in dynamic hypothesis testing
Addressing methodological errors like data leakage in hybrid architectures
Innovation

Methods, ideas, or system contributions that make the work stand out.

Functional architecture enforces statistical rigor structurally
Research monad transformer stack manages sequential protocols
Declarative Scaffolding constrains execution to prevent errors