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The main challenge in Bayesian models is to determine the posterior for the model parameters. Already, in models with only one or few parameters, the analytical posterior can only be determined in special settings. In Bayesian neural…

Machine Learning · Statistics 2021-06-02 Sefan Hörtling , Daniel Dold , Oliver Dürr , Beate Sick

Transformer-based large language models have remarkable potential to accelerate design optimization for applications such as drug development and materials discovery. Self-supervised pretraining of transformer models requires large-scale…

Machine Learning · Computer Science 2023-10-27 Pei Zhang , Logan Kearney , Debsindhu Bhowmik , Zachary Fox , Amit K. Naskar , John Gounley

Extending the forecasting time is a critical demand for real applications, such as extreme weather early warning and long-term energy consumption planning. This paper studies the long-term forecasting problem of time series. Prior…

Machine Learning · Computer Science 2022-01-10 Haixu Wu , Jiehui Xu , Jianmin Wang , Mingsheng Long

Clinical time-series learning is routinely constrained by small, heterogeneous cohorts and protocol drift, while its downstream use spans both classification (e.g., pathology diagnosis) and regression (e.g., temporal forecasting). These…

Machine Learning · Computer Science 2026-05-29 Sharmita Dey , Diego Paez-Granados

Continuum soft robots, composed of flexible materials, exhibit theoretically infinite degrees of freedom, enabling notable adaptability in unstructured environments. Cosserat Rod Theory has emerged as a prominent framework for modeling…

Robotics · Computer Science 2026-05-15 Daniele Caradonna , Diego Bianchi , Franco Angelini , Egidio Falotico

Since its introduction, the transformer has shifted the development trajectory away from traditional models (e.g., RNN, MLP) in time series forecasting, which is attributed to its ability to capture global dependencies within temporal…

Machine Learning · Computer Science 2025-01-07 Xiwen Chen , Peijie Qiu , Wenhui Zhu , Huayu Li , Hao Wang , Aristeidis Sotiras , Yalin Wang , Abolfazl Razi

Time series forecasting is an important problem, with many real world applications. Ensembles of deep neural networks have recently achieved impressive forecasting accuracy, but such large ensembles are impractical in many real world…

Machine Learning · Computer Science 2022-08-31 Espen Haugsdal , Erlend Aune , Massimiliano Ruocco

The remarkable capability of Transformers to do reasoning and few-shot learning, without any fine-tuning, is widely conjectured to stem from their ability to implicitly simulate a multi-step algorithms -- such as gradient descent -- with…

Machine Learning · Computer Science 2024-10-14 Khashayar Gatmiry , Nikunj Saunshi , Sashank J. Reddi , Stefanie Jegelka , Sanjiv Kumar

For autoregressive modeling of chaotic dynamical systems over long time horizons, the stability of both training and inference is a major challenge in building scientific foundation models. We present a hybrid technique in which an…

Contemporary time series data often feature objects connected by a social network that naturally induces temporal dependence involving connected neighbours. The network vector autoregressive model is useful for describing the influence of…

Methodology · Statistics 2023-09-18 Weichi Wu , Chenlei Leng

Normalization and scaling are fundamental preprocessing steps in time series modeling, yet their role in Transformer-based models remains underexplored from a theoretical perspective. In this work, we present the first formal analysis of…

Machine Learning · Computer Science 2026-02-20 Sofiane Ennadir , Tianze Wang , Oleg Smirnov , Sahar Asadi , Lele Cao

Time series foundation models are pre-trained on large datasets and are able to achieve state-of-the-art performance in diverse tasks. However, to date, there has been limited work demonstrating how well these models perform in medical…

Machine Learning · Computer Science 2024-11-21 Mingzhu Liu , Angela H. Chen , George H. Chen

Transformers have achieved state-of-the-art performance in numerous tasks. In this paper, we propose a continuous-time formulation of transformers. Specifically, we consider a dynamical system whose governing equation is parametrized by…

Machine Learning · Computer Science 2025-02-03 Kelvin Kan , Xingjian Li , Stanley Osher

We study whether optimal state-feedback laws for a family of heterogeneous Multiple-Input, Multiple-Output (MIMO) Linear Time-Invariant (LTI) systems can be captured by a single learned controller. We train one transformer policy on…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Turki Bin Mohaya , Maitham F. AL-Sunni , John M. Dolan , Peter Seiler

The recent breakthrough of Transformers in deep learning has drawn significant attention of the time series community due to their ability to capture long-range dependencies. However, like other deep learning models, Transformers face…

Machine Learning · Computer Science 2024-01-15 Subina Khanal , Seshu Tirupathi , Giulio Zizzo , Ambrish Rawat , Torben Bach Pedersen

The transformer models have been extensively used with good results in a wide area of machine learning applications including Large Language Models and image generation. Here, we inquire on the applicability of this approach to financial…

Artificial Intelligence · Computer Science 2025-03-14 Pierre Brugiere , Gabriel Turinici

Time series foundation models (FMs) have emerged as a popular paradigm for zero-shot multi-domain forecasting. These models are trained on numerous diverse datasets and claim to be effective forecasters across multiple different time series…

Risk Management · Quantitative Finance 2025-05-19 Anubha Goel , Puneet Pasricha , Martin Magris , Juho Kanniainen

For multivariate stationary time series many important properties, such as partial correlation, graphical models and autoregressive representations are encoded in the inverse of its spectral density matrix. This is not true for…

Statistics Theory · Mathematics 2022-10-11 Jonas Krampe , Suhasini Subba Rao

Time series foundation models excel at diverse time series forecasting tasks, but their capacity for continuous improvement through incremental learning remains unexplored. We present the first comprehensive study investigating these…

Machine Learning · Computer Science 2025-04-22 Jia Liu , Cheng Jinguo , Xia Fang , Zhenyuan Ma , Yuankai Wu

Multivariate time series forecasting is crucial across a wide range of domains. While presenting notable progress for the Transformer architecture, iTransformer still lags behind the latest MLP-based models. We attribute this performance…

Machine Learning · Computer Science 2025-11-12 Zhiwei Zhang , Xinyi Du , Xuanchi Guo , Weihao Wang , Wenjuan Han
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