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As a highly expressive generative model, diffusion models have demonstrated exceptional success across various domains, including image generation, natural language processing, and combinatorial optimization. However, as data distributions…

机器学习 · 计算机科学 2025-10-27 Myunsoo Kim , Donghyeon Ki , Seong-Woong Shim , Byung-Jun Lee

Sampling from multimodal distributions is a challenging task in scientific computing. When a distribution has an exact symmetry between the modes, direct jumps among them can accelerate the samplings significantly. However, the…

数值分析 · 数学 2024-01-05 Lexing Ying

Societal and industrial infrastructures and systems increasingly leverage sensors that emit correlated time series. Forecasting of future values of such time series based on recorded historical values has important benefits. Automatically…

机器学习 · 计算机科学 2024-11-12 Xinle Wu , Xingjian Wu , Dalin Zhang , Miao Zhang , Chenjuan Guo , Bin Yang , Christian S. Jensen

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

机器学习 · 计算机科学 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

Machine learning and computational intelligence technologies gain more and more popularity as possible solution for issues related to the power grid. One of these issues, the power flow calculation, is an iterative method to compute the…

机器学习 · 计算机科学 2022-04-21 Stephan Balduin , Eric MSP Veith , Sebastian Lehnhoff

Our article is concerned with adaptive sampling schemes for Bayesian inference that update the proposal densities using previous iterates. We introduce a copula based proposal density which is made more efficient by combining it with…

统计方法学 · 统计学 2010-02-26 Ralph Silva , Robert Kohn , Paolo Giordani , Xiuyan Mun

We show how to construct the implied copula process of response values from a Bayesian additive regression tree (BART) model with prior on the leaf node variances. This copula process, defined on the covariate space, can be paired with any…

统计方法学 · 统计学 2026-01-14 Jan Martin Wenkel , Michael Stanley Smith , Nadja Klein

This paper proposes a new method to generate synthetic data sets based on copula models. Our goal is to produce surrogate data resembling real data in terms of marginal and joint distributions. We present a complete and reliable algorithm…

机器学习 · 计算机科学 2022-04-01 Regis Houssou , Mihai-Cezar Augustin , Efstratios Rappos , Vivien Bonvin , Stephan Robert-Nicoud

The popular choice of using a $direct$ forecasting scheme implies that the individual predictions do not contain information on cross-horizon dependence. However, this dependence is needed if the forecaster has to construct, based on…

计量经济学 · 经济学 2024-12-10 Matteo Mogliani , Florens Odendahl

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

In the copula-based approach to univariate time series modeling, the finite dimensional temporal dependence of a stationary time series is captured by a copula. Recent studies investigate how copula-based time series models can be…

统计方法学 · 统计学 2026-04-03 Sven Pappert , Harry Joe

Latent autoregressive processes are a popular choice to model time varying parameters. These models can be formulated as nonlinear state space models for which inference is not straightforward due to the high number of parameters. Therefore…

统计计算 · 统计学 2019-11-01 Alexander Kreuzer , Claudia Czado

This paper lays out a principled approach to compare copula forecasts via strictly consistent scores. We first establish the negative result that, in general, copulas fail to be elicitable, implying that copula predictions cannot sensibly…

统计方法学 · 统计学 2026-02-11 Tobias Fissler , Yannick Hoga

Probabilistic forecasts in the form of ensemble of scenarios are required for complex decision making processes. Ensemble forecasting systems provide such products but the spatio-temporal structures of the forecast uncertainty is lost when…

应用统计 · 统计学 2016-12-21 Zied Ben Bouallegue , Tobias Heppelmann , Susanne E. Theis , Pierre Pinson

To monitor critical infrastructure, high quality sensors sampled at a high frequency are increasingly used. However, as they produce huge amounts of data, only simple aggregates are stored. This removes outliers and fluctuations that could…

数据库 · 计算机科学 2021-06-30 Søren Kejser Jensen , Torben Bach Pedersen , Christian Thomsen

Sampling-based motion planners (SBMPs) are widely used to compute dynamically feasible robot paths. However, their reliance on uniform sampling often leads to poor efficiency and slow planning in complex environments. We introduce a novel…

机器人学 · 计算机科学 2025-11-10 Shubham Natraj , Bruno Sinopoli , Yiannis Kantaros

Flow matching has recently emerged as a powerful paradigm for generative modeling and has been extended to probabilistic time series forecasting in latent spaces. However, the impact of the specific choice of probability path model on…

We introduce a general approach for modeling the dynamic of multivariate time series when the data are of mixed type (binary/count/continuous). Our method is quite flexible and conditionally on past values, each coordinate at time $t$ can…

统计方法学 · 统计学 2021-04-05 Zinsou Max Debaly , Lionel Truquet

Predicting the time series of future evolutions of renewable injections and demands is of utmost importance for the operation of power systems. However, the current state of the art is mostly focused on mean-value time series predictions…

系统与控制 · 电气工程与系统科学 2025-05-01 Marco Jeschke , Timm Faulwasser , Roland Fried

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

大气与海洋物理 · 物理学 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch