The Thesis

Knowing isn't deciding.
Deciding is the work.

For forty years, optimization lived in PhD silos — too expensive to model, too brittle to deploy, too opaque to trust. Generative AI gave every team a writer. It did not give them a decider.

These essays are an evolving argument: that the next infrastructure layer of the enterprise is not another dashboard or another chatbot. It is a decision layer — solver-grounded, constraint-aware, and auditable by default.

PapersFormal · with proofs
Working Paper2026

Infeasibility as Diagnostic: IIS Decomposition for Auditing Business Rules in Portfolio Optimization

DcisionAI Research

Infeasibility is conventionally treated as a solver failure. We argue the opposite: an infeasible model is the most valuable diagnostic an optimization system can produce. Using Irreducible Infeasible Subsystem (IIS) decomposition combined with shadow-price analysis, we show how conflict detection surfaces business-rule contradictions — ESG mandates against minimum-yield floors, sector caps against liquidity requirements — that humans cannot reliably enumerate. We present a case study on a $240M multi-asset portfolio where IIS resolution exposed a $2.1M latent tradeoff and triggered a documented, auditable human override.

OptimizationConstraint ProgrammingPortfolio Management
EssaysSeven chapters of one argument
I

The Error Message That Changed How I Think About Decisions

Why an infeasibility signal — not an answer — is the most valuable output a decision system can give you.

InfeasibilityLinkedIn →
II

Demystifying Mathematical Optimization

What optimization actually is, why it has stayed locked in PhD silos for forty years, and what changes now.

FoundationsMedium →
III

Mathematical Optimization in the Age of Agentic AI

Empowering and democratizing optimization. Why LLMs without a solver are confident guessers, and why solvers without LLMs are unreachable.

Agentic AIMedium →
IV

Optimizing for Success: How Mathematical Optimization Supercharges E-commerce

Pricing, inventory, fulfillment, promotions. The places where guessing leaves the most money on the table.

AppliedMedium →
V

Beyond the Spreadsheet: The Rise of Decision Infrastructure

Spreadsheets gave every analyst a calculator. Decision infrastructure gives every team a solver, a context graph, and a certificate.

InfrastructureMedium →
VI

The Headless Enterprise

Decisions decoupled from the apps that surface them. Why the next architectural layer is a decision API, not another dashboard.

ArchitectureMedium →
VII

The Institutional Ceiling

Human working memory tops out at about four moving parts — and hasn't moved in seventy years. Why that cognitive limit, not strategy or data, is the real ceiling on the decisions that matter, and what finally lifts it.

CognitionMedium →

The thesis is unfinished by design. Each new deployment, each surfaced infeasibility, each documented override sharpens the argument. New chapters land here.