## 609 Citations

### Single and multiple recurrence along non-polynomial sequences

- MathematicsAdvances in Mathematics
- 2020

### T HE G REAT GAN B AKE FF , A N E YSTEMATIC G ENERATIVE A DVERSARIAL N ETWORK A RCHITECTURES FOR T IME S ERIES S YNTHESIS

- Computer Science
- 2022

A combination of metrics, which empirically evaluate the performance of neural network architectures trained for time series synthesis and shows that temporal convolutional networks currently outperform recurrent neural network and transformer based approaches with regard to survival and viability of the generated time series data.

### SOK: THE GREAT GAN BAKE OFF, AN EXTENSIVE SYSTEMATIC EVALUATION OF GENERATIVE ADVERSARIAL NETWORK ARCHITECTURES FOR TIME SERIES SYNTHESIS

- Computer Science
- 2022

A new transformer-based architecture is proposed, which is able to synthesise time series and indicates that temporal convolutional networks outperform recurrent neural network and transformer based approaches with regard to fidelity and flexibility of the generated data.

### Non-homogeneous analysis of rogue wave probability evolution over a shoal

- PhysicsJournal of Fluid Mechanics
- 2022

Abstract Non-equilibrium evolution of wave fields, as occurring over sudden bathymetry variations, can produce rogue seas with anomalous wave statistics. We handle this process by modifying the…

### Tangent fields, intrinsic stationarity, and self similarity

- MathematicsElectronic Journal of Probability
- 2022

This paper studies the local structure of continuous random fields on $\mathbb R^d$ taking values in a complete separable linear metric space ${\mathbb V}$. Extending the seminal work of Falconer…

### GaussED: A Probabilistic Programming Language for Sequential Experimental Design

- Computer Science
- 2021

GaussED, a simple probabilistic programming language coupled to a powerful experimental design engine, which together automate sequential experimental design for approximating a (possibly nonlinear) quantity of interest in Gaussian processes models is presented.

### Non-stationary analysis of rogue wave probability over a shoal

- Environmental Science
- 2021

Saulo Mendes, 2, ∗ Alberto Scotti, † Maura Brunetti, 2, ‡ and Jerome Kasparian 2, § Group of Applied Physics, University of Geneva, Chemin de Pinchat 22, 1211 Geneva 4, Switzerland Institute for…

### Acoustic Characterization of Rooms Using Reverberation Time Estimation Based on Supervised Learning Algorithm

- PhysicsApplied Sciences
- 2021

An automatic procedure for estimating the reverberation time based on the use of artificial neural networks was developed and the results returned by the predictive model suggest using this methodology to estimate the reverberations of any closed space, using simple audio recordings without having to perform standard measurements or calculate the integration explicitly.

### Simple stochastic simulation of time irreversible and reversible processes

- PhysicsHydrological Sciences Journal
- 2020

An analytical exact method capable of handling time irreversibility in addition to preserving the second-order stochastic structure, as well as higher-order marginal statistics, of a process is proposed.

### Prediction and Filtering of Stationary Processes: Yaglom’s Method and Minimax Filtering

- Mathematics, Computer Science
- 2015

The aim of this work is to give a basic introduction to the theory of stationary stochastic processes, particularly to the somewhat specialized problem of prediction and ltering of such processes, and to present Yaglom’s method to solving the problems considered in Wiener's book.

## References

SHOWING 1-3 OF 3 REFERENCES

### Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung

- Mathematics
- 1931

ZusammenfassungEin physikalischer Prozeß (die Änderung eines physikalischen Systems) heißt stochastisch-definit, wenn aus der Kenntnis des ZustandesX0 des Systems in einem gewissen Zeitmomentt0 die…

### Proof of the Quasi-Ergodic Hypothesis.

- MathematicsProceedings of the National Academy of Sciences of the United States of America
- 1932

The quasi-ergodic hypothesis of classical Hamiltonian dynamics is generalized with the aid of the reduction of Hamiltonian systems to Hilbert space, and with the use of certain methods of the authors' closely connected with recent investigations of the algebra of linear transformations in this space.

### The Method of Spectral Reduction in Classical Dynamics.

- MathematicsProceedings of the National Academy of Sciences of the United States of America
- 1933

1. For the last year B. 0. Koopman and J. v. Neumann published several papers, where they succeeded in proving a series of general and interesting theorems of classical dynamics by means of a new…