A survey of Monte Carlo methods for parameter estimation

D Luengo, L Martino, M Bugallo, V Elvira… - EURASIP Journal on …, 2020 - Springer
Statistical signal processing applications usually require the estimation of some parameters
of interest given a set of observed data. These estimates are typically obtained either by …

The ecological forecast horizon, and examples of its uses and determinants

OL Petchey, M Pontarp, TM Massie, S Kéfi… - Ecology …, 2015 - Wiley Online Library
Forecasts of ecological dynamics in changing environments are increasingly important, and
are available for a plethora of variables, such as species abundance and distribution …

[PDF][PDF] Parametric Versus Non-Parametric Time Series Forecasting Methods: A Review.

A Gautam, V Singh - Journal of Engineering Science & Technology Review, 2020 - jestr.org
The non-parametric methods have been proposed in the research literature as an
alternative to parametric methods for time series forecasting. However, scarce evidence is …

Energy landscape analysis elucidates the multistability of ecological communities across environmental gradients

K Suzuki, S Nakaoka, S Fukuda… - Ecological …, 2021 - Wiley Online Library
Compositional multistability is widely observed in multispecies ecological communities.
Since differences in community composition often lead to differences in community function …

A fast universal self-tuned sampler within Gibbs sampling

L Martino, H Yang, D Luengo, J Kanniainen… - Digital Signal …, 2015 - Elsevier
Bayesian inference often requires efficient numerical approximation algorithms, such as
sequential Monte Carlo (SMC) and Markov chain Monte Carlo (MCMC) methods. The Gibbs …

[HTML][HTML] MCMC‐driven importance samplers

F Llorente, E Curbelo, L Martino, V Elvira… - Applied Mathematical …, 2022 - Elsevier
Monte Carlo sampling methods are the standard procedure for approximating complicated
integrals of multidimensional posterior distributions in Bayesian inference. In this work, we …

Differential equations in data analysis

I Dattner - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
Differential equations have proven to be a powerful mathematical tool in science and
engineering, leading to better understanding, prediction, and control of dynamic processes …

An equation‐free method reveals the ecological interaction networks within complex microbial ecosystems

K Suzuki, K Yoshida, Y Nakanishi… - Methods in Ecology …, 2017 - Wiley Online Library
Mapping the network of ecological interactions is a key to understanding the composition,
stability, function and dynamics of microbial communities. In recent years various …

Why preferring parametric forecasting to nonparametric methods?

F Jabot - Journal of theoretical biology, 2015 - Elsevier
A recent series of papers by Charles T. Perretti and collaborators have shown that
nonparametric forecasting methods can outperform parametric methods in noisy nonlinear …

Model Selection for Ordinary Differential Equations: a Statistical Testing Approach

I Dattner, S Gugushvili, O Laskorunskyi - arXiv preprint arXiv:2308.16438, 2023 - arxiv.org
Ordinary differential equations (ODEs) are foundational in modeling intricate dynamics
across a gamut of scientific disciplines. Yet, a possibility to represent a single phenomenon …