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We develop a novel continuous-time asymptotic framework for inference on whether the predictive ability of a given forecast model remains stable over time. We formally define forecast instability from the economic forecaster's perspective…

Econometrics · Economics 2018-12-04 Alessandro Casini

A novel approach is proposed to group redundant time series in the frame of causality. It assumes that (i) the dynamics of the system can be described using just a small number of characteristic modes, and that (ii) a pairwise measure of…

Neurons and Cognition · Quantitative Biology 2015-05-19 Daniele Marinazzo , Wei Liao , Mario Pellicoro , Sebastiano Stramaglia

We use the martingale-theoretic approach of game-theoretic probability to incorporate imprecision into the study of randomness. In particular, we define several notions of randomness associated with interval, rather than precise,…

Probability · Mathematics 2021-06-24 Gert de Cooman , Jasper De Bock

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

Machine Learning · Computer Science 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

Time-series forecasting remains difficult in real-world settings because temporal patterns operate at multiple scales, from broad contextual trends to fast, fine-grained fluctuations that drive critical decisions. Existing neural models…

Machine Learning · Computer Science 2025-11-26 Sepideh Koohfar

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…

Machine Learning · Computer Science 2023-08-04 Katarína Tóthová , Ľubor Ladický , Daniel Thul , Marc Pollefeys , Ender Konukoglu

We investigate the complexity of logistic regression models which is defined by counting the number of indistinguishable distributions that the model can represent (Balasubramanian, 1997). We find that the complexity of logistic models with…

Machine Learning · Statistics 2019-03-04 Nicola Bulso , Matteo Marsili , Yasser Roudi

A widely adopted approach to solving constraint satisfaction problems combines systematic tree search with various degrees of constraint propagation for pruning the search space. One common technique to improve the execution efficiency is…

Logic in Computer Science · Computer Science 2007-05-23 Chiu Wo Choi , Jimmy Ho-Man Lee , Peter J. Stuckey

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

Machine Learning · Statistics 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

Evaluating robustness under temporal distribution shift remains an open challenge. Existing metrics quantify the average decline in performance, but fail to capture how models adapt to evolving data. As a result, temporal degradation is…

Machine Learning · Computer Science 2026-04-09 Lorenzo Iovine , Giacomo Ziffer , Emanuele Della Valle

Recent advances have shown how deep neural networks can be extremely effective at super-resolving remote sensing imagery, starting from a multitemporal collection of low-resolution images. However, existing models have neglected the issue…

Image and Video Processing · Electrical Eng. & Systems 2022-05-04 Diego Valsesia , Enrico Magli

We deal here with the issue of determinism versus randomness in time series. One wishes to identify their relative importance in a given time series. To this end we extend i) the use of ordinal patterns-based probability distribution…

This is a paper in the intersection of time series analysis and complexity theory that presents new results on permutation complexity in general and permutation entropy in particular. In this context, permutation complexity refers to the…

Information Theory · Computer Science 2021-11-08 J. M. Amigó , R. Dale , P. Tempesta

Time-series forecasting is an essential task with wide real-world applications across domains. While recent advances in deep learning have enabled time-series forecasting models with accurate predictions, there remains considerable debate…

Machine Learning · Computer Science 2026-03-26 Zhiyuan Zhao , Juntong Ni , Shangqing Xu , Haoxin Liu , Wei Jin , B. Aditya Prakash

Modelling financial time series as a time change of a simpler process has been proposed in various forms over the years. One of such recent approaches is called volatility homogenisation decomposition, and has been designed specifically to…

Statistical Finance · Quantitative Finance 2014-07-01 Paweł Fiedor , Odd Magnus Trondrud

According to recent results, convergence in a prespecified or prescribed finite time can be achieved under extreme model uncertainty if control is applied continuously over time. This paper shows that this extreme amount of uncertainty…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Hernan Haimovich , Rodrigo Aldana-Lopez , Richard Seeber , David Gomez-Gutierrez

Data Science and Machine learning have been growing strong for the past decade. We argue that to make the most of this exciting field we should resist the temptation of assuming that forecasting can be reduced to brute-force data analytics.…

Artificial Intelligence · Computer Science 2020-05-12 Hykel Hosni , Angelo Vulpiani

A recent trend in deep learning algorithms has been towards training large scale models, having high parameter count and trained on big dataset. However, robustness of such large scale models towards real-world settings is still a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Nishant Jain , Harkirat Behl , Yogesh Singh Rawat , Vibhav Vineet

While it is tempting in experimental practice to seek as high a data rate as possible, oversampling can become an issue if one takes measurements too densely. These effects can take many forms, some of which are easy to detect: e.g., when…

Information Theory · Computer Science 2021-03-03 Michael Neuder , Elizabeth Bradley , Edward Dlugokencky , James W. C. White , Joshua Garland

We consider a class of doubly weighted rank-based estimating methods for the transformation (or accelerated failure time) model with missing data as arise, for example, in case-cohort studies. The weights considered may not be predictable…

Statistics Theory · Mathematics 2009-08-24 Bin Nan , John D. Kalbfleisch , Menggang Yu
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