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Recent work has shown that simple linear models can outperform several Transformer based approaches in long term time-series forecasting. Motivated by this, we propose a Multi-layer Perceptron (MLP) based encoder-decoder model, Time-series…

Machine Learning · Statistics 2024-04-05 Abhimanyu Das , Weihao Kong , Andrew Leach , Shaan Mathur , Rajat Sen , Rose Yu

Many real-world time series exhibit multiple seasonality with different lengths. The removal of seasonal components is crucial in numerous applications of time series, including forecasting and anomaly detection. However, many…

Applications · Statistics 2021-09-21 Linxiao Yang , Qingsong Wen , Bo Yang , Liang Sun

We address a three-tier numerical framework based on manifold learning for the forecasting of high-dimensional time series. At the first step, we embed the time series into a reduced low-dimensional space using a nonlinear manifold learning…

Numerical Analysis · Mathematics 2023-03-16 Panagiotis Papaioannou , Ronen Talmon , Ioannis Kevrekidis , Constantinos Siettos

Deep Learning (DL) models can be used to tackle time series analysis tasks with great success. However, the performance of DL models can degenerate rapidly if the data are not appropriately normalized. This issue is even more apparent when…

Computational Finance · Quantitative Finance 2019-09-24 Nikolaos Passalis , Anastasios Tefas , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Probabilistic forecasting of high dimensional multivariate time series is a notoriously challenging task, both in terms of computational burden and distribution modeling. Most previous work either makes simple distribution assumptions or…

Machine Learning · Computer Science 2021-01-27 Nam Nguyen , Brian Quanz

Multi-layer perceptrons (MLPs) are a standard tool for learning and function approximation, but they inherently yield outputs that are globally smooth. As a result, they struggle to represent functions that are continuous yet deliberately…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Hanting Niu , Junkai Deng , Fei Hou , Wencheng Wang , Ying He

Pooling operations, which can be calculated at low cost and serve as a linear or nonlinear transfer function for data reduction, are found in almost every modern neural network. Countless modern approaches have already tackled replacing the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Wolfgang Fuhl , Enkelejda Kasneci

Optimal decision-making compels us to anticipate the future at different horizons. However, in many domains connecting together predictions from multiple time horizons and abstractions levels across their organization becomes all the more…

Machine Learning · Computer Science 2023-07-06 Julien Leprince , Henrik Madsen , Jan Kloppenborg Møller , Wim Zeiler

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. During the last years, intensive efforts…

Time series forecasting serves as an essential tool for many real-world applications, supporting tasks such as resource optimization and decision-making. Despite significant architectural advancements, most modern models still treat…

Machine Learning · Computer Science 2026-05-12 Sheng Pan , Ming Jin , Bo Du , Shirui Pan

Forecasting high-dimensional spatiotemporal systems remains computationally challenging for recurrent neural networks (RNNs) and long short-term memory (LSTM) models due to gradient-based training and memory bottlenecks. Reservoir Computing…

Machine Learning · Computer Science 2026-01-05 Ata Akbari Asanjan , Filip Wudarski , Daniel O'Connor , Shaun Geaney , Elena Strbac , P. Aaron Lott , Davide Venturelli

Due to effective pattern mining and feature representation, neural forecasting models based on deep learning have achieved great progress. The premise of effective learning is to collect sufficient data. However, in time series forecasting,…

Machine Learning · Computer Science 2023-07-04 Yan Gao , Yan Wang , Qiang Wang

Time series forecasting is vital across many domains, yet existing models struggle with fixed-length inputs and inadequate multi-scale modeling. We propose MR-CDM, a framework combining hierarchical multi-resolution trend decomposition, an…

Machine Learning · Computer Science 2026-04-09 Xianyong Xu , Yuanjun Zuo , Zhihong Huang , Yihan Qin , Haoxian Xu , Leilei Du , Haotian Wang

Despite the success of deep learning in domains such as image, voice, and graphs, there has been little progress in deep representation learning for domains without a known structure between features. For instance, a tabular dataset of…

Machine Learning · Computer Science 2020-11-26 Mohammad Kachuee , Sajad Darabi , Shayan Fazeli , Majid Sarrafzadeh

Forecasting models are pivotal in a data-driven world with vast volumes of time series data that appear as a compound of vast Linear and Nonlinear patterns. Recent deep time series forecasting models struggle to utilize seasonal and trend…

Machine Learning · Computer Science 2025-02-26 Guoqi Yu , Yaoming Li , Xiaoyu Guo , Dayu Wang , Zirui Liu , Shujun Wang , Tong Yang

We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the…

Machine Learning · Statistics 2018-06-29 Ruofeng Wen , Kari Torkkola , Balakrishnan Narayanaswamy , Dhruv Madeka

Multi-modal large language models (MLLMs) have enabled numerous advances in understanding and reasoning in domains like vision, but we have not yet seen this broad success for time-series. Although prior works on time-series MLLMs have…

Machine Learning · Computer Science 2024-12-05 Winnie Chow , Lauren Gardiner , Haraldur T. Hallgrímsson , Maxwell A. Xu , Shirley You Ren

Recurrent Neural Networks (RNNs) have long been recognized for their potential to model complex time series. However, it remains to be determined what optimization techniques and recurrent architectures can be used to best realize this…

Machine Learning · Statistics 2015-10-19 Ben Krause

A Bayesian lattice filtering and smoothing approach is proposed for fast and accurate modeling and inference in multivariate non-stationary time series. This approach offers computational feasibility and interpretable time-frequency…

Methodology · Statistics 2019-07-23 Wenjie Zhao , Raquel Prado

In this study, we explore the impact of network topology on the approximation capabilities of artificial neural networks (ANNs), with a particular focus on complex topologies. We propose a novel methodology for constructing complex ANNs…

Neural and Evolutionary Computing · Computer Science 2023-10-24 Tommaso Boccato , Matteo Ferrante , Andrea Duggento , Nicola Toschi
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