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Multivariate time series classification is of great importance in practical applications and is a challenging task. However, deep neural network models such as Transformers exhibit high accuracy in multivariate time series classification…

Machine Learning · Computer Science 2024-11-19 Mingsen Du , Yanxuan Wei , Yingxia Tang , Xiangwei Zheng , Shoushui Wei , Cun Ji

Differentiable logic networks (DLNs) have shown promising results in tabular domains by combining accuracy, interpretability, and computational efficiency. In this work, we apply DLNs to the domain of TSC for the first time, focusing on…

Machine Learning · Computer Science 2025-08-26 Chang Yue , Niraj K. Jha

Partial Differential Equations are infinite dimensional encoded representations of physical processes. However, imbibing multiple observation data towards a coupled representation presents significant challenges. We present a fully…

Machine Learning · Computer Science 2020-03-09 Gurpreet Singh , Soumyajit Gupta , Matt Lease , Clint N. Dawson

This paper is a contribution to the old problem of representing a signal in the coordinates of time and frequency. As the starting point, we abandon Gabor's complex extension and re-evaluate fundamental principles of time-frequency…

Complex Variables · Mathematics 2015-09-28 Steven Sandoval , Phillip L. De Leon

Regression problems with time-series predictors are common in banking and many other areas of application. In this paper, we use multi-head attention networks to develop interpretable features and use them to achieve good predictive…

Machine Learning · Computer Science 2022-05-26 Tianjie Wang , Jie Chen , Joel Vaughan , Vijayan N. Nair

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

Image and Video Processing · Electrical Eng. & Systems 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

This work considers uncertainty relations on time frequency distributions from a signal processing viewpoint. An uncertainty relation on the marginalizable time frequency distributions is given. A result from quantum mechanics is used on…

Signal Processing · Electrical Eng. & Systems 2021-04-27 Eren Berk Kama , Mustafa Kuzuoğlu

Scientific measurements are often bottlenecked by suboptimal conditions, whether that be noise, incomplete spatial coverage, or limited resolution, rendering accurate field reconstruction a difficult task. We introduce LatentPDE, a latent…

Machine Learning · Computer Science 2026-04-28 Valerie Tsao , Nathaniel Chaney , Manolis Veveakis

The lack of interpretability and transparency are preventing economists from using advanced tools like neural networks in their empirical research. In this paper, we propose a class of interpretable neural network models that can achieve…

Econometrics · Economics 2020-12-01 Yucheng Yang , Zhong Zheng , Weinan E

With the rise in the employment of deep learning methods in safety-critical scenarios, interpretability is more essential than ever before. Although many different directions regarding interpretability have been explored for visual…

Machine Learning · Computer Science 2020-04-08 Shoaib Ahmed Siddiqui , Dominique Mercier , Andreas Dengel , Sheraz Ahmed

Models often need to be constrained to a certain size for them to be considered interpretable. For example, a decision tree of depth 5 is much easier to understand than one of depth 50. Limiting model size, however, often reduces accuracy.…

Machine Learning · Computer Science 2020-07-02 Abhishek Ghose , Balaraman Ravindran

Deep reinforcement learning (RL) has shown remarkable success in complex domains, however, the inherent black box nature of deep neural network policies raises significant challenges in understanding and trusting the decision-making…

Machine Learning · Computer Science 2025-01-20 Peilang Li , Umer Siddique , Yongcan Cao

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Human observers can learn to recognize new categories of images from a handful of examples, yet doing so with artificial ones remains an open challenge. We hypothesize that data-efficient recognition is enabled by representations which make…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Olivier J. Hénaff , Aravind Srinivas , Jeffrey De Fauw , Ali Razavi , Carl Doersch , S. M. Ali Eslami , Aaron van den Oord

Convolutional neural networks (CNNs) have become widely adopted in gravitational wave (GW) detection pipelines due to their ability to automatically learn hierarchical features from raw strain data. However, the physical meaning of these…

Machine Learning · Computer Science 2025-10-28 Jun Tian , He Wang , Jibo He , Yu Pan , Shuo Cao , Qingquan Jiang

Interpretable machine learning is rapidly becoming a crucial tool for scientific discovery. Among existing approaches, variational autoencoders (VAEs) have shown promise in extracting the hidden physical features of some input data, with no…

In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which gives rise to a quasi-probability distribution function,…

Superconductivity · Physics 2024-06-21 E. A. Reis , G. X. A. Petronilo , R. G. G. Amorim , H. Belich , F. C. Khanna , A. E. Santana

The Wigner distribution is a milestone of Time-frequency Analysis. In order to cope with its drawbacks while preserving the desirable features that made it so popular, several kind of modifications have been proposed. This contributions…

Functional Analysis · Mathematics 2020-08-05 Elena Cordero , S. Ivan Trapasso

Understanding the neural implementation of complex human behaviors is one of the major goals in neuroscience. To this end, it is crucial to find a true representation of the neural data, which is challenging due to the high complexity of…

Machine Learning · Computer Science 2023-08-15 Cheol Jun Cho , Edward F. Chang , Gopala K. Anumanchipalli

We develop an approach to learn an interpretable semi-parametric model of a latent continuous-time stochastic dynamical system, assuming noisy high-dimensional outputs sampled at uneven times. The dynamics are described by a nonlinear…

Machine Learning · Statistics 2019-02-13 Lea Duncker , Gergo Bohner , Julien Boussard , Maneesh Sahani