Papers, ranked by score

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

A deep solver for backward stochastic Volterra integral equations

We present the first deep-learning solver for backward stochastic Volterra integral equations (BSVIEs) and their fully-coupled forward-backward variants. The method trains a neural network to approximate the two solution fields in a single stage, avoiding the use of nested time-stepping cycles that

Holy Grail Math 8.5 Rigor 6.5 ·  May 23, 2025

Deep Quadratic Hedging

We propose a novel computational procedure for quadratic hedging in high-dimensional incomplete markets, covering mean-variance hedging and local risk minimization. Starting from the observation that both quadratic approaches can be treated from the point of view of backward stochastic differential

Holy Grail Math 8.5 Rigor 5.5 ·  December 24, 2022

When defaults cannot be hedged: an actuarial approach to xVA calculations via local risk-minimization

We consider the pricing and hedging of counterparty credit risk and funding when there is no possibility to hedge the jump to default of either the bank or the counterparty. This represents the situation which is most often encountered in practice, due to the absence of quoted corporate bonds or CDS

Lab Rats Math 8.5 Rigor 2 ·  February 18, 2025

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