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Scaling test-time computation--generating and analyzing multiple or sequential outputs for a single input--has become a promising strategy for improving the reliability and quality of large language models (LLMs), as evidenced by advances…

Computation and Language · Computer Science 2025-06-03 Sungjae Lee , Hoyoung Kim , Jeongyeon Hwang , Eunhyeok Park , Jungseul Ok

Time series (TS) data are ubiquitous across various application areas, rendering time series forecasting (TSF) a fundamental task. With the astounding advances in large language models (LLMs), a variety of methods have been developed to…

Artificial Intelligence · Computer Science 2025-08-25 Zhuomin Chen , Dan Li , Jiahui Zhou , Shunyu Wu , Haozheng Ye , Jian Lou , See-Kiong Ng

In this paper, we propose a new Semi-Nonnegative Matrix Factorization method for 2-dimensional (2D) data, named TS-NMF. It overcomes the drawback of existing methods that seriously damage the spatial information of the data by converting 2D…

Machine Learning · Computer Science 2020-05-20 Chong Peng , Zhilu Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

Accurate short-term load forecasting is essential for the efficient operation of the power sector. Forecasting load at a fine granularity such as hourly loads of individual households is challenging due to higher volatility and inherent…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Haris Mansoor , Sarwan Ali , Imdadullah Khan , Naveed Arshad , Muhammad Asad Khan , Safiullah Faizullah

Nonnegative matrix factorization (NMF) is one of the most frequently-used matrix factorization models in data analysis. A significant reason to the popularity of NMF is its interpretability and the `parts of whole' interpretation of its…

Machine Learning · Computer Science 2018-01-19 Sanjar Karaev , James Hook , Pauli Miettinen

Symmetric Nonnegative Matrix Factorization (SymNMF) is a technique in data analysis and machine learning that approximates a symmetric matrix with a product of a nonnegative, low-rank matrix and its transpose. To design faster and more…

Machine Learning · Computer Science 2024-12-02 Koby Hayashi , Sinan G. Aksoy , Grey Ballard , Haesun Park

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

To address the complexity of financial time series, this paper proposes a forecasting model combining sliding window and variational mode decomposition (VMD) methods. Historical stock prices and relevant market indicators are used to…

Machine Learning · Computer Science 2025-08-22 Luke Li

This paper describes a new approach, based on linear programming, for computing nonnegative matrix factorizations (NMFs). The key idea is a data-driven model for the factorization where the most salient features in the data are used to…

Optimization and Control · Mathematics 2013-02-05 Victor Bittorf , Benjamin Recht , Christopher Re , Joel A. Tropp

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

Numerical Analysis · Computer Science 2017-12-07 Gabriele Torre , Michael Graber

With large quantities of data typically available nowadays, forecasting models that are trained across sets of time series, known as Global Forecasting Models (GFM), are regularly outperforming traditional univariate forecasting models that…

Machine Learning · Computer Science 2021-09-22 Rakshitha Godahewa , Kasun Bandara , Geoffrey I. Webb , Slawek Smyl , Christoph Bergmeir

Nonnegative Matrix Factorization (NMF) is a widely used technique for data representation. Inspired by the expressive power of deep learning, several NMF variants equipped with deep architectures have been proposed. However, these methods…

Machine Learning · Computer Science 2017-11-21 Yuning Qiu , Guoxu Zhou , Kan Xie

Symmetric nonnegative matrix factorization (SNMF) has demonstrated to be a powerful method for data clustering. However, SNMF is mathematically formulated as a non-convex optimization problem, making it sensitive to the initialization of…

Machine Learning · Computer Science 2021-03-03 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong , Qingfu Zhang

The growing impact of global climate change amplifies the need for accurate and reliable weather forecasting. Traditional autoregressive approaches, while effective for temporal modeling, suffer from error accumulation in long-term…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Doyi Kim , Minseok Seo , Hakjin Lee , Junghoon Seo

With the success of pre-trained language models (PLMs) in various application fields beyond natural language processing, language models have raised emerging attention in the field of time series forecasting (TSF) and have shown great…

Machine Learning · Computer Science 2025-09-30 Peng Chen , Yihang Wang , Yang Shu , Yunyao Cheng , Kai Zhao , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo

Despite the recent success of large language models (LLMs) in time-series forecasting, most existing methods still adopt a Deep Synchronous Fusion strategy, where dense interactions between textual and temporal features are enforced at…

Machine Learning · Computer Science 2026-04-15 Fan Zhang , Shiming Fan , Hua Wang

Time series forecasting aims to model temporal dependencies among variables for future state inference, holding significant importance and widespread applications in real-world scenarios. Although deep learning-based methods have achieved…

Machine Learning · Computer Science 2026-05-21 Zesen Wang , Lijuan Lan , Yonggang Li

Nonnegative matrix factorization (NMF) is a data analysis technique used in a great variety of applications such as text mining, image processing, hyperspectral data analysis, computational biology, and clustering. In this paper, we…

Optimization and Control · Mathematics 2012-08-13 Nicolas Gillis , François Glineur

Given taxi-ride counts information between departure and destination locations, how can we forecast their future demands? In general, given a data stream of events with seasonal patterns that innovate over time, how can we effectively and…

Machine Learning · Computer Science 2021-10-26 Koki Kawabata , Siddharth Bhatia , Rui Liu , Mohit Wadhwa , Bryan Hooi

Low-rank matrix factorization (MF) is an important technique in data science. The key idea of MF is that there exists latent structures in the data, by uncovering which we could obtain a compressed representation of the data. By factorizing…

Numerical Analysis · Computer Science 2016-05-09 Yuan Lu , Jie Yang