Papers, ranked by score

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

Distributional regression for seasonal data: an application to river flows

Risk assessment in casualty insurance, such as flood risk, traditionally relies on extreme-value methods that emphasizes rare events. These approaches are well-suited for characterizing tail risk, but do not capture the broader dynamics of environmental variables such as moderate or frequent loss ev

Holy Grail Math 6.5 Rigor 7.5 ·  October 21, 2025

Kullback-Leibler Barycentre of Stochastic Processes

We consider the problem where an agent aims to combine the views and insights of different experts’ models. Specifically, each expert proposes a diffusion process over a finite time horizon. The agent then combines the experts’ models by minimising the weighted Kullback–Leibler divergence to each o

Holy Grail Math 8.5 Rigor 6 ·  July 5, 2024

Marginal Fairness: Fair Decision-Making under Risk Measures

This paper introduces marginal fairness, a new individual fairness notion for equitable decision-making in the presence of protected attributes such as gender, race, and religion. This criterion ensures that decisions based on generalized distortion risk measures are insensitive to distributional pe

Holy Grail Math 7.5 Rigor 6.5 ·  May 24, 2025

Risk Budgeting Portfolios from Simulations

Risk budgeting is a portfolio strategy where each asset contributes a prespecified amount to the aggregate risk of the portfolio. In this work, we propose an efficient numerical framework that uses only simulations of returns for estimating risk budgeting portfolios. Besides a general cutting planes

Holy Grail Math 7 Rigor 6.5 ·  February 2, 2023

Model Combination in Risk Sharing under Ambiguity

We consider the problem of an agent who faces losses in continuous time over a finite time horizon and may choose to share some of these losses with a counterparty. The agent is uncertain about the true loss distribution and has multiple models for the losses. Their goal is to optimize a mean-varian

Lab Rats Math 8.5 Rigor 4 ·  April 3, 2025

Robust Elicitable Functionals

Elicitable functionals and (strictly) consistent scoring functions are of interest due to their utility of determining (uniquely) optimal forecasts, and thus the ability to effectively backtest predictions. However, in practice, assuming that a distribution is correctly specified is too strong a bel

Lab Rats Math 8 Rigor 4 ·  September 6, 2024

Outperforming a Benchmark with $α$-Bregman Wasserstein divergence

We consider the problem of active portfolio management, where an investor seeks the portfolio with maximal expected utility of the difference between the terminal wealth of their strategy and a proportion of the benchmark’s, subject to a budget and a deviation constraint from the benchmark portfolio

Lab Rats Math 8.5 Rigor 3 ·  March 21, 2026

Bounds for Distributionally Robust Optimization Problems

We study distributionally robust optimization (DRO) problems with uncertainty sets consisting of high-dimensional random vectors that are close in the multivariate Wasserstein distance to a reference random vector. We give conditions when the images of these sets under scalar-valued aggregation func

Lab Rats Math 8.5 Rigor 3 ·  April 8, 2025

Optimal Robust Reinsurance with Multiple Insurers

We study a reinsurer who faces multiple sources of model uncertainty. The reinsurer offers contracts to $n$ insurers whose claims follow compound Poisson processes representing both idiosyncratic and systemic sources of loss. As the reinsurer is uncertain about the insurers’ claim severity distribut

Lab Rats Math 8.5 Rigor 2 ·  August 22, 2023

Dynamic Pareto Optima in Multi-Period Pure-Exchange Economies

We study a problem of optimal allocation in a discrete-time multi-period pure-exchange economy, where agents have preferences over stochastic endowment processes that are represented by strongly time-consistent dynamic risk measures. We introduce the notion of dynamic Pareto-optimal allocation proce

Lab Rats Math 8.5 Rigor 1.5 ·  March 19, 2026

Constructing elicitable risk measures

We provide a constructive way of defining new elicitable risk measures that are characterised by a multiplicative scoring function. We show that depending on the choice of the scoring function’s components, the resulting risk measure possesses properties such as monotonicity, translation invariance,

Lab Rats Math 8.5 Rigor 1.5 ·  March 5, 2025

Uncertainty Propagation and Dynamic Robust Risk Measures

We introduce a framework for quantifying propagation of uncertainty arising in a dynamic setting. Specifically, we define dynamic uncertainty sets designed explicitly for discrete stochastic processes over a finite time horizon. These dynamic uncertainty sets capture the uncertainty surrounding stoc

Lab Rats Math 8.5 Rigor 1.5 ·  August 24, 2023

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