Lukas Gonon

About Lukas Gonon

Lukas Gonon, With an exceptional h-index of 14 and a recent h-index of 14 (since 2020), a distinguished researcher at Ludwig-Maximilians-Universität München,

His recent articles reflect a diverse array of research interests and contributions to the field:

Approximation Rates for Deep Calibration of (Rough) Stochastic Volatility Models

Universal approximation theorem and error bounds for quantum neural networks and quantum reservoirs

Infinite-dimensional reservoir computing

THE ANNALS

Approximation bounds for random neural networks and reservoir systems

Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations

The necessity of depth for artificial neural networks to approximate certain classes of smooth and bounded functions without the curse of dimensionality

Neural network approximation for superhedging prices

Lukas Gonon Information

University

Position

___

Citations(all)

1006

Citations(since 2020)

978

Cited By

277

hIndex(all)

14

hIndex(since 2020)

14

i10Index(all)

17

i10Index(since 2020)

17

Email

University Profile Page

Google Scholar

Top articles of Lukas Gonon

Approximation Rates for Deep Calibration of (Rough) Stochastic Volatility Models

arXiv preprint arXiv:2309.14784

2023/9/26

Francesca Biagini
Francesca Biagini

H-Index: 14

Lukas Gonon
Lukas Gonon

H-Index: 8

Universal approximation theorem and error bounds for quantum neural networks and quantum reservoirs

arXiv preprint arXiv:2307.12904

2023/7/24

Lukas Gonon
Lukas Gonon

H-Index: 8

Antoine Jacquier
Antoine Jacquier

H-Index: 18

Infinite-dimensional reservoir computing

arXiv preprint arXiv:2304.00490

2023/4/2

Approximation bounds for random neural networks and reservoir systems

The Annals of Applied Probability

2023/2

Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations

Analysis and Applications

2023/1/28

Lukas Gonon
Lukas Gonon

H-Index: 8

The necessity of depth for artificial neural networks to approximate certain classes of smooth and bounded functions without the curse of dimensionality

arXiv preprint arXiv:2301.08284

2023/1/19

Lukas Gonon
Lukas Gonon

H-Index: 8

Arnulf Jentzen
Arnulf Jentzen

H-Index: 33

Neural network approximation for superhedging prices

Mathematical Finance

2023/1

Francesca Biagini
Francesca Biagini

H-Index: 14

Lukas Gonon
Lukas Gonon

H-Index: 8

Random feature neural networks learn Black-Scholes type PDEs without curse of dimensionality

Journal of Machine Learning Research

2023

Lukas Gonon
Lukas Gonon

H-Index: 8

Detecting asset price bubbles using deep learning

arXiv preprint arXiv:2210.01726

2022/10/4

Francesca Biagini
Francesca Biagini

H-Index: 14

Lukas Gonon
Lukas Gonon

H-Index: 8

Uniform error estimates for artificial neural network approximations for heat equations

IMA Journal of Numerical Analysis

2022/7/16

Reservoir kernels and Volterra series

arXiv preprint arXiv:2212.14641

2022/12/30

Deep neural network expressivity for optimal stopping problems

arXiv preprint arXiv:2210.10443

2022/10/19

Lukas Gonon
Lukas Gonon

H-Index: 8

Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models

Finance and Stochastics

2021/10

Lukas Gonon
Lukas Gonon

H-Index: 8

Expressive power of randomized signature

2021/9/27

Fading memory echo state networks are universal

Neural Networks

2021/6/1

Lukas Gonon
Lukas Gonon

H-Index: 8

Juan-Pablo Ortega
Juan-Pablo Ortega

H-Index: 14

Discrete-time signatures and randomness in reservoir computing

IEEE Transactions on Neural Networks and Learning Systems

2021/5/26

Asset pricing with general transaction costs: Theory and numerics

Mathematical Finance

2021/4

Lukas Gonon
Lukas Gonon

H-Index: 8

Xiaofei Shi
Xiaofei Shi

H-Index: 3

Existence and uniqueness results for time-inhomogeneous time-change equations and Fokker–Planck equations

Journal of Theoretical Probability

2021/3

Lukas Gonon
Lukas Gonon

H-Index: 8

Memory and forecasting capacities of nonlinear recurrent networks

Physica D: Nonlinear Phenomena

2020/12/15

See List of Professors in Lukas Gonon University(Ludwig-Maximilians-Universität München)