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Time series forecasting methods generally fall into two main categories: Channel Independent (CI) and Channel Dependent (CD) strategies. While CI overlooks important covariate relationships, CD captures all dependencies without distinction,…

Machine Learning · Computer Science 2025-05-21 Yifan Hu , Guibin Zhang , Peiyuan Liu , Disen Lan , Naiqi Li , Dawei Cheng , Tao Dai , Shu-Tao Xia , Shirui Pan

The balance between model capacity and generalization has been a key focus of recent discussions in long-term time series forecasting. Two representative channel strategies are closely associated with model expressivity and robustness,…

Machine Learning · Computer Science 2024-07-25 Tong Nie , Yuewen Mei , Guoyang Qin , Jian Sun , Wei Ma

Time series forecasting has attracted significant attention in recent decades. Previous studies have demonstrated that the Channel-Independent (CI) strategy improves forecasting performance by treating different channels individually, while…

Machine Learning · Computer Science 2024-11-07 Jialin Chen , Jan Eric Lenssen , Aosong Feng , Weihua Hu , Matthias Fey , Leandros Tassiulas , Jure Leskovec , Rex Ying

Multivariate time-series analysis involves extracting informative representations from sequences of multiple interdependent variables, supporting tasks such as forecasting, imputation, and anomaly detection. In real-world scenarios, these…

Machine Learning · Computer Science 2026-05-19 Israel Zexer , Omri Azencot

Current methods for multivariate time series forecasting can be classified into channel-dependent and channel-independent models. Channel-dependent models learn cross-channel features but often overfit the channel ordering, which hampers…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Jiyuan Xu , Wenyu Zhang , Xin Jing , Shuai Chen , Shuai Zhang , Jiahao Nie

There has been an emergence of various models for long-term time series forecasting. Recent studies have demonstrated that a single linear layer, using Channel Dependent (CD) or Channel Independent (CI) modeling, can even outperform a large…

Machine Learning · Computer Science 2023-12-20 Yuan Peiwen , Zhu Changsheng

In recent years, the application of transformer-based models in time-series forecasting has received significant attention. While often demonstrating promising results, the transformer architecture encounters challenges in fully exploiting…

Machine Learning · Computer Science 2025-02-12 Artyom Stitsyuk , Jaesik Choi

Multivariate time series data comprises various channels of variables. The multivariate forecasting models need to capture the relationship between the channels to accurately predict future values. However, recently, there has been an…

Machine Learning · Computer Science 2023-04-12 Lu Han , Han-Jia Ye , De-Chuan Zhan

Transformers have recently gained popularity in time series forecasting due to their ability to capture long-term dependencies. However, many existing models focus only on capturing temporal dependencies while omitting intricate…

Machine Learning · Computer Science 2025-05-26 Donghwa Shin , Edwin Zhang

In multivariate time series forecasting (MTSF), accurately modeling the intricate dependencies among multiple variables remains a significant challenge due to the inherent limitations of traditional approaches. Most existing models adopt…

Machine Learning · Computer Science 2025-11-19 Yuchen Luo , Xinyu Li , Liuhua Peng , Mingming Gong

Irregularly sampled multivariate time series (ISMTS) are prevalent in reality. Due to their non-uniform intervals between successive observations and varying sampling rates among series, the channel-independent (CI) strategy, which has been…

Machine Learning · Computer Science 2024-12-18 Jiexi Liu , Meng Cao , Songcan Chen

The massive generation of time-series data by largescale Internet of Things (IoT) devices necessitates the exploration of more effective models for multivariate time-series forecasting. In previous models, there was a predominant use of the…

Machine Learning · Computer Science 2024-03-15 Wenyong Han , Tao Zhu Member , Liming Chen , Huansheng Ning , Yang Luo , Yaping Wan

In Long-term Time Series Forecasting (LTSF), the lookback window is a critical hyperparameter often set arbitrarily, undermining the validity of model evaluations. We argue that the lookback window must be tuned on a per-task basis to…

Recent studies have demonstrated the great power of Transformer models for time series forecasting. One of the key elements that lead to the transformer's success is the channel-independent (CI) strategy to improve the training robustness.…

Machine Learning · Computer Science 2024-02-19 Wang Xue , Tian Zhou , Qingsong Wen , Jinyang Gao , Bolin Ding , Rong Jin

Transformer-based time series forecasting has recently gained strong interest due to the ability of transformers to model sequential data. Most of the state-of-the-art architectures exploit either temporal or inter-channel dependencies,…

Machine Learning · Computer Science 2025-03-25 Davide Villaboni , Alberto Castellini , Ivan Luciano Danesi , Alessandro Farinelli

Multivariate time series forecasting tasks are usually conducted in a channel-dependent (CD) way since it can incorporate more variable-relevant information. However, it may also involve a lot of irrelevant variables, and this even leads to…

Machine Learning · Computer Science 2024-05-15 Qinshuo Liu , Yanwen Fang , Pengtao Jiang , Guodong Li

Modeling dynamic temporal dependencies is a critical challenge in time series pre-training, which evolve due to distribution shifts and multi-scale patterns. This temporal variability severely impairs the generalization of pre-trained…

Machine Learning · Computer Science 2025-09-19 Yuemin Wu , Zhongze Wu , Xiu Su , Feng Yang , Hongyan Xu , Xi Lin , Wenti Huang , Shan You , Chang Xu

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

Change-point detection (CPD) aims to detect abrupt changes over time series data. Intuitively, effective CPD over multivariate time series should require explicit modeling of the dependencies across input variables. However, existing CPD…

Machine Learning · Computer Science 2020-09-15 Ruohong Zhang , Yu Hao , Donghan Yu , Wei-Cheng Chang , Guokun Lai , Yiming Yang

Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri
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