Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Causal PDE-Control for Adaptive Portfolio Optimization under Partial Information

Classical portfolio models tend to degrade under structural breaks, whereas flexible machine-learning allocators often lack arbitrage consistency and interpretability. We propose Causal PDE-Control Models (CPCMs), a framework that links structural causal drivers, nonlinear filtering, and forward-bac

Holy Grail Math 9.5 Rigor 8 ·  September 11, 2025

Is Causality Necessary for Efficient Portfolios? A Computational Perspective on Predictive Validity and Model Misspecification

A recent line of research has argued that causal factor models are necessary for portfolio optimization, claiming that structurally misspecified models inevitably produce inverted signals and nonviable frontiers. This paper challenges that view. We show, through theoretical analysis, simulation coun

Holy Grail Math 8.5 Rigor 7 ·  July 30, 2025

Order-Constrained Spectral Causality in Multivariate Time Series

We introduce an operator-theoretic framework for causal analysis in multivariate time series based on order-constrained spectral non-invariance. Directional influence is defined as sensitivity of second-order dependence operators to admissible, order-preserving temporal deformations of a designated

Holy Grail Math 8.5 Rigor 6.5 ·  January 3, 2026

Uniform Inference and Certified Capacity at a Reflexive Stability Boundary

This paper develops uniform inference and certified capacity decisions for an estimated financial stability boundary. Conditional risk, temporary cross-impact, and effective risk-bearing capacity are jointly estimated from dependent observations. Conventional pointwise inference is reliable at a sep

Holy Grail Math 9 Rigor 6 ·  September 2, 2026

Switching Frictions, Heterogeneous Trading Horizons, and Long-Memory Order Flow

This paper develops a mechanism through which costly changes in the representations used for portfolio choice can contribute to persistent signed order flow. Heterogeneous switching thresholds and opportunity volatility generate heterogeneous residence times, and renewal aggregation maps their execu

Holy Grail Math 8.5 Rigor 6 ·  September 2, 2026

Admissible Information Structures and the Non-Existence of Global Martingale Pricing

No-arbitrage asset pricing characterizes valuation through the existence of equivalent martingale measures relative to a filtration and a class of admissible trading strategies. In practice, pricing is performed across multiple asset classes driven by economic variables that are only partially spann

Lab Rats Math 8.5 Rigor 2.5 ·  January 18, 2026

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