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This paper presents a data-integrated framework for learning the dynamics of fractional-order nonlinear systems in both discrete-time and continuous-time settings. The proposed framework consists of two main steps. In the first step,…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Bahram Yaghooti , Chengyu Li , Bruno Sinopoli

Dynamical systems are used to model a variety of phenomena in which the bifurcation structure is a fundamental characteristic. Here we propose a statistical machine-learning approach to derive lowdimensional models that automatically…

Quantitative Methods · Quantitative Biology 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

Multimodal emotion recognition (MER) in practical scenarios is significantly challenged by the presence of missing or incomplete data across different modalities. To overcome these challenges, researchers have aimed to simulate incomplete…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Qi Fan , Haolin Zuo , Rui Liu , Zheng Lian , Guanglai Gao

Multimodal learning seeks to integrate information across diverse sensory sources, yet current approaches struggle to balance cross-modal generalizability with modality-specific structure. Continuous (implicit) methods preserve fine-grained…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Souptik Sen , Raneen Younis , Zahra Ahmadi

Data-driven modeling and machine learning are widely used to model the behavior of dynamic systems. One application is the residual evaluation of technical systems where model predictions are compared with measurement data to create…

Machine Learning · Computer Science 2023-05-09 Arman Mohammadi , Theodor Westny , Daniel Jung , Mattias Krysander

The need for multimodal data integration arises naturally when multiple complementary sets of features are measured on the same sample. Under a dependent multifactor model, we develop a fully data-driven orchestrated approximate message…

Methodology · Statistics 2026-01-22 Sagnik Nandy , Zongming Ma

Most existing time series classification methods adopt a discriminative paradigm that maps input sequences directly to one-hot encoded class labels. While effective, this paradigm struggles to incorporate contextual features and fails to…

Machine Learning · Computer Science 2026-01-22 Mingyue Cheng , Xiaoyu Tao , Huajian Zhang , Qi Liu , Enhong Chen

Mixtures of linear dynamical systems (MoLDS) provide a path to model time-series data that exhibit diverse temporal dynamics across trajectories. However, its application remains challenging in complex and noisy settings, limiting its…

Machine Learning · Computer Science 2026-03-02 Lulu Gong , Shreya Saxena

Multimodal learning has been lacking principled ways of combining information from different modalities and learning a low-dimensional manifold of meaningful representations. We study multimodal learning and sensor fusion from a latent…

Machine Learning · Computer Science 2019-04-24 Lijiang Guo

Conservation laws are an inherent feature in many systems modeling real world phenomena, in particular, those modeling biological and chemical systems. If the form of the underlying dynamical system is known, linear algebra and algebraic…

Numerical Analysis · Mathematics 2024-03-11 Tracey Oellerich , Maria Emelianenko

Experimental measurements of physical systems often have a limited number of independent channels, causing essential dynamical variables to remain unobserved. However, many popular methods for unsupervised inference of latent dynamics from…

Machine Learning · Computer Science 2020-10-23 William Gilpin

Most existing single-modal time series models rely solely on numerical series, which suffer from the limitations imposed by insufficient information. Recent studies have revealed that multimodal models can address the core issue by…

Machine Learning · Computer Science 2025-05-05 Wenfa Wu , Guanyu Zhang , Zheng Tan , Yi Wang , Hongsheng Qi

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

Compressive Learning is an emerging topic that combines signal acquisition via compressive sensing and machine learning to perform inference tasks directly on a small number of measurements. Many data modalities naturally have a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Dat Thanh Tran , Mehmet Yamac , Aysen Degerli , Moncef Gabbouj , Alexandros Iosifidis

Projection-based model reduction has become a popular approach to reduce the cost associated with integrating large-scale dynamical systems so they can be used in many-query settings such as optimization and uncertainty quantification. For…

Numerical Analysis · Mathematics 2020-08-26 Han Gao , Jian-Xun Wang , Matthew J. Zahr

Multimodal wearable sensor data classification plays an important role in ubiquitous computing and has a wide range of applications in scenarios from healthcare to entertainment. However, most existing work in this field employs…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Xiang Zhang , Lina Yao , Chaoran Huang , Sen Wang , Mingkui Tan , Guodong Long , Can Wang

Recent technological advancements in multimodal machine learning--including the rise of large language models (LLMs)--have improved our ability to collect, process, and analyze diverse multimodal data such as speech, video, and eye gaze in…

Modeling dynamical systems plays a crucial role in capturing and understanding complex physical phenomena. When physical models are not sufficiently accurate or hardly describable by analytical formulas, one can use generic function…

Machine Learning · Computer Science 2021-06-23 Armand Jordana , Justin Carpentier , Ludovic Righetti

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

Machine Learning · Computer Science 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

The vast majority of systems of practical interest are characterised by nonlinear dynamics. This renders the control and optimization of such systems a complex task due to their nonlinear behaviour. Additionally, standard methods such as…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Akhil Ahmed , Ehecatl Antonio del Rio-Chanona , Mehmet Mercangoz