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We introduce a model-agnostic forward diffusion process for time-series forecasting that decomposes signals into spectral components, preserving structured temporal patterns such as seasonality more effectively than standard diffusion.…

Machine Learning · Statistics 2026-02-17 Francisco Caldas , Sahil Kumar , Cláudia Soares

Time series forecasting is a fundamental tool with wide ranging applications, yet recent debates question whether complex nonlinear architectures truly outperform simple linear models. Prior claims of dominance of the linear model often…

Machine Learning · Computer Science 2026-02-13 Md Rakibul Haque , Vishwa Goudar , Shireen Elhabian , Warren Woodrich Pettine

Missing data scenarios are very common in ML applications in general and time-series/sequence applications are no exceptions. This paper pertains to a novel Recurrent Neural Network (RNN) based solution for sequence prediction under missing…

Machine Learning · Computer Science 2022-08-19 Soumen Pachal , Avinash Achar

Machine learning algorithms are typically run on large scale, distributed compute infrastructure that routinely face a number of unavailabilities such as failures and temporary slowdowns. Adding redundant computations using coding-theoretic…

Machine Learning · Computer Science 2018-06-05 Jack Kosaian , K. V. Rashmi , Shivaram Venkataraman

Model-based deep learning methods such as loop unrolling (LU) and deep equilibrium model}(DEQ) extensions offer outstanding performance in solving inverse problems (IP). These methods unroll the optimization iterations into a sequence of…

Machine Learning · Computer Science 2024-06-11 Peimeng Guan , Naveed Iqbal , Mark A. Davenport , Mudassir Masood

This paper develops a new framework, called modular regression, to utilize auxiliary information -- such as variables other than the original features or additional data sets -- in the training process of linear models. At a high level, our…

Methodology · Statistics 2023-11-27 Ying Jin , Dominik Rothenhäusler

Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables them to better capture linear relationships, which is hard…

Machine Learning · Statistics 2024-07-10 Jakob Raymaekers , Peter J. Rousseeuw , Tim Verdonck , Ruicong Yao

Prevailing spatiotemporal prediction models typically operate under a forward (unidirectional) learning paradigm, in which models extract spatiotemporal features from historical observation input and map them to target spatiotemporal space…

Machine Learning · Computer Science 2026-02-04 Jiaming Ma , Binwu Wang , Pengkun Wang , Xu Wang , Zhengyang Zhou , Yang Wang

Linear recurrent neural networks enable powerful long-range sequence modeling with constant memory usage and time-per-token during inference. These architectures hold promise for streaming applications at the edge, but deployment in…

Machine Learning · Computer Science 2025-08-14 Alessandro Pierro , Steven Abreu , Jonathan Timcheck , Philipp Stratmann , Andreas Wild , Sumit Bam Shrestha

Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

Machine Learning · Computer Science 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

Long-term time series forecasting plays an important role in various real-world scenarios. Recent deep learning methods for long-term series forecasting tend to capture the intricate patterns of time series by decomposition-based or…

Machine Learning · Computer Science 2023-06-13 Xing Wang , Zhendong Wang , Kexin Yang , Junlan Feng , Zhiyan Song , Chao Deng , Lin zhu

Cross-domain time series forecasting is a valuable task in various web applications. Despite its rapid advancement, achieving effective generalization across heterogeneous time series data remains a significant challenge. Existing methods…

Artificial Intelligence · Computer Science 2025-11-04 Tingyue Pan , Mingyue Cheng , Shilong Zhang , Zhiding Liu , Xiaoyu Tao , Yucong Luo , Jintao Zhang , Qi Liu

Designing effective models for learning time series representations is foundational for time series analysis. Many previous works have explored time series representation modeling approaches and have made progress in this area. Despite…

Machine Learning · Computer Science 2024-12-17 Mingyue Cheng , Jiqian Yang , Tingyue Pan , Qi Liu , Zhi Li

De novo peptide sequencing is a fundamental computational technique for ascertaining amino acid sequences of peptides directly from tandem mass spectrometry data, eliminating the need for reference databases. Cutting-edge models usually…

Computational Engineering, Finance, and Science · Computer Science 2025-05-26 Ye Du , Chen Yang , Nanxi Yu , Wanyu Lin , Qian Zhao , Shujun Wang

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

Machine Learning · Computer Science 2024-10-29 Gang Dang , Dianhui Wang

Statistic modeling and data-driven learning are the two vital fields that attract many attentions. Statistic models intend to capture and interpret the relationships among variables, while data-based learning attempt to extract information…

Machine Learning · Computer Science 2021-12-22 Jingwei Li

Within the field of instance segmentation, most of the state-of-the-art deep learning networks rely nowadays on cascade architectures, where multiple object detectors are trained sequentially, re-sampling the ground truth at each step. This…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Leonardo Rossi , Akbar Karimi , Andrea Prati

Nonlinear dynamical systems are ubiquitous in nature and they are hard to forecast. Not only they may be sensitive to small perturbations in their initial conditions, but they are often composed of processes acting at multiple scales.…

Chaotic Dynamics · Physics 2025-10-06 Chenyu Dong , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

The task of multi-channel time series forecasting is ubiquitous in numerous fields such as finance, supply chain management, and energy planning. It is critical to effectively capture complex dynamic dependencies within and between channels…

Artificial Intelligence · Computer Science 2026-03-20 Lei Gao , Hengda Bao , Jingfei Fang , Guangzheng Wu , Weihua Zhou , Yun Zhou

Recent research demonstrates that linear models achieve forecasting performance competitive with complex architectures, yet methodologies for enhancing linear models remain underexplored. Motivated by the hypothesis that distinct time…

Machine Learning · Computer Science 2025-10-13 Zipo Jibao , Yingyi Fu , Xinyang Chen , Guoting Chen