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To generate coherent responses, language models infer unobserved meaning from their input text sequence. One potential explanation for this capability arises from theories of delay embeddings in dynamical systems, which prove that…

Machine Learning · Computer Science 2024-06-19 Mitchell Ostrow , Adam Eisen , Ila Fiete

Accurate time-series forecasting is crucial in various scientific and industrial domains, yet deep learning models often struggle to capture long-term dependencies and adapt to data distribution shifts over time. We introduce Future-Guided…

Machine Learning · Computer Science 2025-09-30 Skye Gunasekaran , Assel Kembay , Hugo Ladret , Rui-Jie Zhu , Laurent Perrinet , Omid Kavehei , Jason Eshraghian

Deep learning models have grown increasingly popular in time series applications. However, the large quantity of newly proposed architectures, together with often contradictory empirical results, makes it difficult to assess which…

Machine Learning · Computer Science 2025-12-30 Valentina Moretti , Andrea Cini , Ivan Marisca , Cesare Alippi

Delay embedding---a method for reconstructing dynamical systems by delay coordinates---is widely used to forecast nonlinear time series as a model-free approach. When multivariate time series are observed, several existing frameworks can be…

Machine Learning · Statistics 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

Multivariate time series forecasting requires models to simultaneously capture variable-wise structural dependencies and generalize across diverse tasks. While structural encoders are effective in modeling feature interactions, they lack…

Computation and Language · Computer Science 2025-06-26 Fengze Li , Yue Wang , Yangle Liu , Ming Huang , Dou Hong , Jieming Ma

A key challenge for computationally intensive state-of-the-art Earth System models is to distinguish global warming signals from interannual variability. Here we introduce DLESyM, a parsimonious deep learning model that accurately simulates…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Nathaniel Cresswell-Clay , Bowen Liu , Dale Durran , Zihui Liu , Zachary I. Espinosa , Raul Moreno , Matthias Karlbauer

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

Nowadays, time series forecasting is predominantly approached through the end-to-end training of deep learning architectures using error-based objectives. While this is effective at minimizing average loss, it encourages the encoder to…

Machine Learning · Computer Science 2026-03-26 Jiacheng Wang , Liang Fan , Baihua Li , Luyan Zhang

We introduce a self-consistent deep-learning framework which, for a noisy deterministic time series, provides unsupervised filtering, state-space reconstruction, identification of the underlying differential equations and forecasting.…

Machine Learning · Computer Science 2021-08-05 Zhe Wang , Claude Guet

Long-lead forecasting for spatio-temporal systems can often entail complex nonlinear dynamics that are difficult to specify it a priori. Current statistical methodologies for modeling these processes are often highly parameterized and thus,…

Machine Learning · Statistics 2018-09-05 Patrick L. McDermott , Christopher K. Wikle

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

Computational Physics · Physics 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos

Learning and forecasting stochastic time series is essential in various scientific fields. However, despite the proposals of nonlinear filters and deep-learning methods, it remains challenging to capture nonlinear dynamics from a few noisy…

Methodology · Statistics 2025-02-21 Christian Donner , Anuj Mishra , Hideaki Shimazaki

We present a deep neural network for a model-free prediction of a chaotic dynamical system from noisy observations. The proposed deep learning model aims to predict the conditional probability distribution of a state variable. The Long…

Machine Learning · Computer Science 2017-10-05 Kyongmin Yeo

Accurate forecasting of an electroencephalogram (EEG) time series is crucial for the correct diagnosis of neurological disorders such as seizures and epilepsy. Since the EEG time series is chaotic, most traditional machine learning…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Mahboobeh Parsapoor

Time series forecasting plays a crucial role in many real-world applications, and numerous complex forecasting models have been proposed in recent years. Despite their architectural innovations, most state-of-the-art models report only…

Machine Learning · Computer Science 2025-05-28 Reza Nematirad , Anil Pahwa , Balasubramaniam Natarajan

In forecasting multiple time series, accounting for the individual features of each sequence can be challenging. To address this, modern deep learning methods for time series analysis combine a shared (global) model with local layers,…

Machine Learning · Computer Science 2025-02-14 Luca Butera , Giovanni De Felice , Andrea Cini , Cesare Alippi

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

Long-term time-series forecasting is essential for planning and decision-making in economics, energy, and transportation, where long foresight is required. To obtain such long foresight, models must be both efficient and effective in…

Machine Learning · Computer Science 2025-09-05 Chao Ma , Yikai Hou , Xiang Li , Yinggang Sun , Haining Yu , Zhou Fang , Jiaxing Qu

Transformer models have consistently achieved remarkable results in various domains such as natural language processing and computer vision. However, despite ongoing research efforts to better understand these models, the field still lacks…

Machine Learning · Computer Science 2024-10-18 Ilya Kaufman , Omri Azencot

Learning neural program embeddings is key to utilizing deep neural networks in program languages research --- precise and efficient program representations enable the application of deep models to a wide range of program analysis tasks.…

Software Engineering · Computer Science 2019-07-12 Ke Wang , Zhendong Su