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Reservoir computing systems, a class of recurrent neural networks, have recently been exploited for model-free, data-based prediction of the state evolution of a variety of chaotic dynamical systems. The prediction horizon demonstrated has…

机器学习 · 计算机科学 2020-04-06 Huawei Fan , Junjie Jiang , Chun Zhang , Xingang Wang , Ying-Cheng Lai

Predictive variability due to data ambiguities has typically been addressed via construction of dedicated models with built-in probabilistic capabilities that are trained to predict uncertainty estimates as variables of interest. These…

机器学习 · 计算机科学 2023-08-04 Katarína Tóthová , Ľubor Ladický , Daniel Thul , Marc Pollefeys , Ender Konukoglu

Redundancy is a fundamental characteristic of many biological processes such as those in the genetic, visual, muscular and nervous system; yet its function has not been fully understood. The conventional interpretation of redundancy is that…

信息论 · 计算机科学 2019-02-04 Anh Tuan Nguyen , Jian Xu , Diu Khue Luu , Qi Zhao , Zhi Yang

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

机器学习 · 计算机科学 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

机器学习 · 计算机科学 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

The objective of this paper is to improve the customary definition of redundancy by providing quantitative measures in its place, which we coin upper and lower redundancies, that match better with an intuitive understanding of redundancy…

泛函分析 · 数学 2009-11-19 Bernhard G. Bodmann , Peter G. Casazza , Gitta Kutyniok

Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

统计力学 · 物理学 2007-05-23 William Bialek , Naftali Tishby

Explainability of black-box machine learning models is crucial, in particular when deployed in critical applications such as medicine or autonomous cars. Existing approaches produce explanations for the predictions of models, however, how…

机器学习 · 计算机科学 2021-11-18 Jonas Schulz , Rafael Poyiadzi , Raul Santos-Rodriguez

In this dissertation, we focus on several important problems in structured prediction. In structured prediction, the label has a rich intrinsic substructure, and the loss varies with respect to the predicted label and the true label pair.…

机器学习 · 计算机科学 2018-09-18 Heejin Choi

Linear model prediction with a large number of potential predictors is both statistically and computationally challenging. The traditional approaches are largely based on shrinkage selection/estimation methods, which are applicable even…

统计方法学 · 统计学 2024-09-17 Hanmei Sun , Jiangshan Zhang , Jiming Jiang

The current mode of use of Electronic Health Record (EHR) elicits text redundancy. Clinicians often populate new documents by duplicating existing notes, then updating accordingly. Data duplication can lead to a propagation of errors,…

计算与语言 · 计算机科学 2023-02-28 Thomas Searle , Zina Ibrahim , James Teo , Richard JB Dobson

Data redundancy is ubiquitous in the inputs and intermediate results of Deep Neural Networks (DNN). It offers many significant opportunities for improving DNN performance and efficiency and has been explored in a large body of work. These…

机器学习 · 计算机科学 2022-08-30 Jou-An Chen , Wei Niu , Bin Ren , Yanzhi Wang , Xipeng Shen

This paper is the second in a series of two, and describes the current state of the art in modelling and prediction of chaotic time series. Sampled data from deterministic non-linear systems may look stochastic when analysed with linear…

chao-dyn · 物理学 2008-02-03 Bjoern Lillekjendlie , Dimitris Kugiumtzis , Nils Christophersen

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

机器学习 · 统计学 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

Modern time series forecasting methods, such as Transformer and its variants, have shown strong ability in sequential data modeling. To achieve high performance, they usually rely on redundant or unexplainable structures to model complex…

机器学习 · 计算机科学 2023-11-30 Jingyi Hou , Zhen Dong , Jiayu Zhou , Zhijie Liu

Missing data is pervasive in econometric applications, and rarely is it plausible that the data are missing (completely) at random. This paper proposes a methodology for studying the robustness of results drawn from incomplete datasets.…

计量经济学 · 经济学 2025-12-29 Daniel Ober-Reynolds

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

机器学习 · 统计学 2018-01-08 Keisuke Yamazaki

Surrogate Neural Networks are nowadays routinely used in industry as substitutes for computationally demanding engineering simulations (e.g., in structural analysis). They allow to generate faster predictions and thus analyses in industrial…

This paper considers the relationships among meaning generation, selection, and the dynamics of discourse from a variety of perspectives ranging from information theory and biology to sociology. Following Husserl's idea of a horizon of…

数字图书馆 · 计算机科学 2018-03-28 Loet Leydesdorff , Mark W. Johnson , Inga Ivanova

In networked dynamical systems, inferring governing parameters is crucial for predicting nodal dynamics, such as gene expression levels, species abundance, or population density. While many parameter estimation techniques rely on…

适应与自组织系统 · 物理学 2025-03-25 Yanna Ding , Malik Magdon-Ismail , Jianxi Gao