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The paper develops a Transformer architecture for estimating dynamic factors from multivariate time series data under flexible identification assumptions. Performance on small datasets is improved substantially by using a conventional…

Econometrics · Economics 2026-01-21 Oliver Snellman

Climate change stands as one of the most pressing global challenges of the twenty-first century, with far-reaching consequences such as rising sea levels, melting glaciers, and increasingly extreme weather patterns. Accurate forecasting is…

Machine Learning · Computer Science 2025-06-17 Tajamul Ashraf , Janibul Bashir

We propose a novel framework, Continuous_Time Attention, which infuses partial differential equations (PDEs) into the Transformer's attention mechanism to address the challenges of extremely long input sequences. Instead of relying solely…

Machine Learning · Computer Science 2025-12-30 Yukun Zhang , Xueqing Zhou

Marked Temporal Point Processes (MTPPs) arise naturally in medical, social, commercial, and financial domains. However, existing Transformer-based methods mostly inject temporal information only via positional encodings, relying on shared…

Machine Learning · Computer Science 2026-03-25 Xinzi Tan , Kejian Zhang , Junhan Yu , Doudou Zhou

The attention mechanism is a fundamental component of the Transformer model, contributing to interactions among distinct tokens, in contrast to earlier feed-forward neural networks. In general, the attention scores are determined simply by…

Computation and Language · Computer Science 2024-10-11 Chuanyang Zheng , Yihang Gao , Han Shi , Jing Xiong , Jiankai Sun , Jingyao Li , Minbin Huang , Xiaozhe Ren , Michael Ng , Xin Jiang , Zhenguo Li , Yu Li

Multivariate time series (MTS) analysis prevails in real-world applications such as finance, climate science and healthcare. The various self-attention mechanisms, the backbone of the state-of-the-art Transformer-based models, efficiently…

Machine Learning · Computer Science 2023-11-21 Quang Minh Nguyen , Lam M. Nguyen , Subhro Das

The attention module, which is a crucial component in Transformer, cannot scale efficiently to long sequences due to its quadratic complexity. Many works focus on approximating the dot-then-exponentiate softmax function in the original…

Machine Learning · Computer Science 2021-11-04 Shengjie Luo , Shanda Li , Tianle Cai , Di He , Dinglan Peng , Shuxin Zheng , Guolin Ke , Liwei Wang , Tie-Yan Liu

Various Transformer-based models have been proposed for time series forecasting. These models leverage the self-attention mechanism to capture long-term temporal or variate dependencies in sequences. Existing methods can be divided into two…

Machine Learning · Computer Science 2025-06-04 Daichi Kimura , Tomonori Izumitani , Hisashi Kashima

This paper develops a novel method to estimate a latent factor model for a large target panel with missing observations by optimally using the information from auxiliary panel data sets. We refer to our estimator as target-PCA. Transfer…

Econometrics · Economics 2023-08-31 Junting Duan , Markus Pelger , Ruoxuan Xiong

Most quantum machine learning (QML) pipelines still rely on static encodings such as angle and amplitude maps, and this limits their ability to handle temporal information. To address this limitation, this paper uses spike-based data…

Quantum Physics · Physics 2026-04-14 Nouhaila Innan , Rachmad Vidya Wicaksana Putra , Muhammad Shafique

Time series forecasting is essential for many practical applications, with the adoption of transformer-based models on the rise due to their impressive performance in NLP and CV. Transformers' key feature, the attention mechanism,…

Machine Learning · Computer Science 2024-02-09 PeiSong Niu , Tian Zhou , Xue Wang , Liang Sun , Rong Jin

Multivariate time series forecasting has been widely used in various practical scenarios. Recently, Transformer-based models have shown significant potential in forecasting tasks due to the capture of long-range dependencies. However,…

Machine Learning · Computer Science 2023-02-10 Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

Recently, many attention-based deep neural networks have emerged and achieved state-of-the-art performance in environmental sound classification. The essence of attention mechanism is assigning contribution weights on different parts of…

Audio and Speech Processing · Electrical Eng. & Systems 2020-11-06 You Wang , Chuyao Feng , David V. Anderson

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

Analyzing data from multiple sources offers valuable opportunities to improve the estimation efficiency of causal estimands. However, this analysis also poses many challenges due to population heterogeneity and data privacy constraints.…

Methodology · Statistics 2025-10-23 Rong Zhao , Jason Falvey , Xu Shi , Vernon M. Chinchilli , Chixiang Chen

The long-context capability of recent large transformer models can be surmised to rely on techniques such as attention/model parallelism, as well as hardware-level optimizations. While these strategies allow input lengths to scale to…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Toufiq Parag , Ahmed Elgammal

Mixture-of-Experts (MoE) networks have been proposed as an efficient way to scale up model capacity and implement conditional computing. However, the study of MoE components mostly focused on the feedforward layer in Transformer…

Computation and Language · Computer Science 2022-10-12 Xiaofeng Zhang , Yikang Shen , Zeyu Huang , Jie Zhou , Wenge Rong , Zhang Xiong

While existing multivariate time series forecasting models have advanced significantly in modeling periodicity, they largely neglect the periodic heterogeneity common in real-world data, where variables exhibit distinct and dynamically…

Machine Learning · Computer Science 2026-03-03 Jiaming Ma , Qihe Huang , Haofeng Ma , Guanjun Wang , Sheng Huang , Zhengyang Zhou , Pengkun Wang , Binwu Wang , Yang Wang

As a prominent data modality task, time series forecasting plays a pivotal role in diverse applications. With the remarkable advancements in Large Language Models (LLMs), the adoption of LLMs as the foundational architecture for time series…

Machine Learning · Computer Science 2025-07-10 Yiwen Liu , Chenyu Zhang , Junjie Song , Siqi Chen , Sun Yin , Zihan Wang , Lingming Zeng , Yuji Cao , Junming Jiao

Long-term Time Series Forecasting (LTSF) is crucial across various domains, but complex deep models like Transformers are often prone to overfitting on extended sequences. Linear Fully Connected models have emerged as a powerful…

Machine Learning · Computer Science 2026-02-10 Yuang Zhao , Tianyu Li , Jiadong Chen , Shenrong Ye , Fuxin Jiang , Xiaofeng Gao
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