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Model diagnostics and forecast evaluation are two sides of the same coin. A common principle is that fitted or predicted distributions ought to be calibrated or reliable, ideally in the sense of auto-calibration, where the outcome is a…

Methodology · Statistics 2024-09-27 Tilmann Gneiting , Johannes Resin

We introduce and test a general machine-learning-based technique for the inference of short term causal dependence between state variables of an unknown dynamical system from time series measurements of its state variables. Our technique…

Adaptation and Self-Organizing Systems · Physics 2020-12-18 Amitava Banerjee , Jaideep Pathak , Rajarshi Roy , Juan G. Restrepo , Edward Ott

Condition-Based Maintenance is pivotal in enabling the early detection of potential failures in engineering systems, where precise prediction of the Remaining Useful Life is essential for effective maintenance and operation. However, a…

Machine Learning · Computer Science 2024-06-21 Miguel Fernandes , Catarina Silva , Alberto Cardoso , Bernardete Ribeiro

Deep time series forecasting has emerged as a rapidly growing field in recent years. Despite the exponential growth of community interests, progress on standard benchmarks is often limited to marginal improvements. A common consensus of the…

Machine Learning · Computer Science 2026-05-05 Yuxuan Wang , Haixu Wu , Yuezhou Ma , Yuchen Fang , Ziyi Zhang , Yong Liu , Shiyu Wang , Zhou Ye , Yang Xiang , Jianmin Wang , Mingsheng Long

Measuring conditional dependence is an important topic in statistics with broad applications including graphical models. Under a factor model setting, a new conditional dependence measure based on projection is proposed. The corresponding…

Methodology · Statistics 2019-01-14 Jianqing Fan , Yang Feng , Lucy Xia

Developing an integrated many-to-many framework leveraging multimodal data for multiple tasks is crucial to unifying healthcare applications ranging from diagnoses to operations. In resource-constrained hospital environments, a scalable and…

Machine Learning · Computer Science 2024-06-11 Dimitris Bertsimas , Yu Ma

The ability to forecast far into the future is highly beneficial to many applications, including but not limited to climatology, energy consumption, and logistics. However, due to noise or measurement error, it is questionable how far into…

Machine Learning · Computer Science 2022-05-26 Fan-Keng Sun , Duane S. Boning

A novel information-theoretic approach is proposed to assess the global practical identifiability of Bayesian statistical models. Based on the concept of conditional mutual information, an estimate of information gained for each model…

Methodology · Statistics 2024-04-22 Sahil Bhola , Karthik Duraisamy

Parameter identifiability refers to the capability of accurately inferring the parameter values of a model from its observations (data). Traditional analysis methods exploit analytical properties of the closed form model, in particular…

Machine Learning · Computer Science 2024-12-30 Nikolaos Evangelou , Alexander M. Stankovic , Ioannis G. Kevrekidis , Mark K. Transtrum

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

Fluid Dynamics · Physics 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

The paper discusses the challenge of evaluating the prognosis quality of machine health index (HI) data. Many existing solutions in machine health forecasting involve visually assessing the quality of predictions to roughly gauge the…

Signal Processing · Electrical Eng. & Systems 2025-02-14 Daniel Kuzio , Radosław Zimroz , Agnieszka Wyłomańska

In today's data-driven landscape, time series forecasting is pivotal in decision-making across various sectors. Yet, the proliferation of more diverse time series data, coupled with the expanding landscape of available forecasting methods,…

Machine Learning · Computer Science 2024-05-01 Marc-André Zöller , Marius Lindauer , Marco F. Huber

Robust state estimation in coupled dynamical systems depends critically not only on sensor quality but on the structural alignment between observation channels and the system's intrinsic dynamics. This paper develops a rigorous framework…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Somasundhar Venkatasubramanian , Anirudh Venkat , Advaidh Venkat

We introduce the $\gamma$-model, a predictive model of environment dynamics with an infinite probabilistic horizon. Replacing standard single-step models with $\gamma$-models leads to generalizations of the procedures central to model-based…

Machine Learning · Computer Science 2021-11-30 Michael Janner , Igor Mordatch , Sergey Levine

We present a theory-guided generalized Bayesian methodology for spatio-temporal raster data, which we use to train an ensemble of stochastic feed-forward neural networks with Gaussian-distributed weights. The methodology incorporates the…

Machine Learning · Statistics 2026-04-24 Leonardo Bardi , Imma Valentina Curato , Lorenzo Proietti

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

Machine Learning · Computer Science 2024-09-13 Antti Pöllänen , Pekka Marttinen

Meta-analytic-predictive (MAP) priors have been proposed as a generic approach to deriving informative prior distributions, where external empirical data are processed to learn about certain parameter distributions. The use of MAP priors is…

Methodology · Statistics 2025-11-11 Christian Röver , Tim Friede

With an ever-increasing number of sensors in modern society, spatio-temporal time series forecasting has become a de facto tool to make informed decisions about the future. Most spatio-temporal forecasting models typically comprise distinct…

Machine Learning · Computer Science 2023-03-24 Lars Ødegaard Bentsen , Narada Dilp Warakagoda , Roy Stenbro , Paal Engelstad

Reliable estimation of predictive uncertainty is crucial for machine learning applications, particularly in high-stakes scenarios where hedging against risks is essential. Despite its significance, there is no universal agreement on how to…

Machine Learning · Computer Science 2025-06-17 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

In industrial data analytics, one of the fundamental problems is to utilize the temporal correlation of the industrial data to make timely predictions in the production process, such as fault prediction and yield prediction. However, the…

Machine Learning · Computer Science 2019-08-23 Hongzhi Wang , Yijie Yang , Yang Song
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