Papers, ranked by score

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

Langevin algorithms for Markovian Neural Networks and Deep Stochastic control

Stochastic Gradient Descent Langevin Dynamics (SGLD) algorithms, which add noise to the classic gradient descent, are known to improve the training of neural networks in some cases where the neural network is very deep. In this paper we study the possibilities of training acceleration for the numeri

Holy Grail Math 7.5 Rigor 6.5 ·  December 22, 2022

Optimized Multi-Level Monte Carlo Parametrization and Antithetic Sampling for Nested Simulations

Estimating risk measures such as large loss probabilities and Value-at-Risk is fundamental in financial risk management and often relies on computationally intensive nested Monte Carlo methods. While Multi-Level Monte Carlo (MLMC) techniques and their weighted variants are typically more efficient,

Lab Rats Math 8.5 Rigor 4 ·  October 21, 2025

On Inhomogeneous Affine Volterra Processes: Stationarity and Applications to the Volterra Heston Model

True Volterra equations are inherently non stationary and therefore do not admit $\textit{genuine stationary regimes}$ over finite horizons. This motivates the study of the finite-time behavior of the solutions to scaled inhomogeneous affine Stochastic Volterra equations through the lens of a weaker

Lab Rats Math 8.5 Rigor 3 ·  December 10, 2025

Strong Solutions and Quantization-Based Numerical Schemes for a Class of Non-Markovian Volatility Models

We investigate a class of non-Markovian processes that hold particular relevance in the realm of mathematical finance. This family encompasses path-dependent volatility models, including those pioneered by [Platen and Rendek, 2018] and, more recently, by [Guyon and Lekeufack, 2023]. Our study unfold

Lab Rats Math 8.5 Rigor 3 ·  February 28, 2025

Convex ordering for stochastic control: the (path dependent) swing contracts case

We investigate propagation of convexity and convex ordering on a typical discrete-time stochastic optimal control problem, namely the pricing of swing option. The dynamics of the underlying asset is modelled by the Euler scheme of a Brownian diffusion with affine drift, and convex volatility. We pro

Lab Rats Math 8.5 Rigor 3 ·  June 11, 2024

Efficient simulation of a new class of Volterra-type SDEs

We propose a new theoretical framework that exploits convolution kernels to transform a Volterra-type path-dependent (non-Markovian) stochastic process into a standard (Markovian) diffusion process. Remarkably, it is also possible to go back, i.e., the transformation is reversible. We discuss existe

Lab Rats Math 8.5 Rigor 3 ·  June 5, 2023

On a Stationarity Theory for Stochastic Volterra Integral Equations

This paper provide a comprehensive analysis of the finite and long time behavior of continuous-time non-Markovian dynamical systems, with a focus on the forward Stochastic Volterra Integral Equations(SVIEs).We investigate the properties of solutions to such equations specifically their stationarity,

Lab Rats Math 9.5 Rigor 1.5 ·  November 5, 2025

Browse

All authors · Research topics · Papers with code · Download the scored dataset

📬 The Quant Space Weekly

One email a week: the most interesting quant finance papers, scored and summarized. No spam, unsubscribe anytime.