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Path signatures are powerful nonparametric tools for time series analysis, shown to form a universal and characteristic feature map for Euclidean valued time series data. We lift the theory of path signatures to the setting of Lie group…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Darrick Lee , Robert Ghrist

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

Machine Learning · Computer Science 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

A key problem in salient object detection is how to effectively model the semantic properties of salient objects in a data-driven manner. In this paper, we propose a multi-task deep saliency model based on a fully convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Xi Li , Liming Zhao , Lina Wei , Ming-Hsuan Yang , Fei Wu , Yueting Zhuang , Haibin Ling , Jingdong Wang

We propose a novel unsupervised game-theoretic salient object detection algorithm that does not require labeled training data. First, saliency detection problem is formulated as a non-cooperative game, hereinafter referred to as Saliency…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Yu Zeng , Huchuan Lu , Ali Borji , Mengyang Feng

Evaluating the contribution of individual data points to a model's prediction is critical for interpreting model predictions and improving model performance. Existing data contribution methods have been applied to various data types,…

Machine Learning · Computer Science 2025-06-17 Yizi Zhang , Jingyan Shen , Xiaoxue Xiong , Yongchan Kwon

Interpretability is a critical factor in applying complex deep learning models to advance the understanding of brain disorders in neuroimaging studies. To interpret the decision process of a trained classifier, existing techniques typically…

Image and Video Processing · Electrical Eng. & Systems 2021-06-29 Zixuan Liu , Ehsan Adeli , Kilian M. Pohl , Qingyu Zhao

It has been long debated that eXplainable AI (XAI) is an important topic, but it lacks rigorous definition and fair metrics. In this paper, we briefly summarize the status quo of the metrics, along with an exhaustive experimental study…

Artificial Intelligence · Computer Science 2021-01-01 Xiao-Hui Li , Yuhan Shi , Haoyang Li , Wei Bai , Yuanwei Song , Caleb Chen Cao , Lei Chen

Class activation map (CAM) helps to formulate saliency maps that aid in interpreting the deep neural network's prediction. Gradient-based methods are generally faster than other branches of vision interpretability and independent of human…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Masud An Nur Islam Fahim , Nazmus Saqib , Shafkat Khan Siam , Ho Yub Jung

A method for nonlinear topology identification is proposed, based on the assumption that a collection of time series are generated in two steps: i) a vector autoregressive process in a latent space, and ii) a nonlinear, component-wise,…

Signal Processing · Electrical Eng. & Systems 2021-07-02 Luis Miguel Lopez-Ramos , Kevin Roy , Baltasar Beferull-Lozano

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

The research paper addresses linear decomposition of time series of non-additive metrics that allows for the identification and interpretation of contributing factors (input features) of variance. Non-additive metrics, such as ratios, are…

Machine Learning · Computer Science 2022-04-15 Alex Glushkovsky

Time series analysis remains a major challenge due to its sparse characteristics, high dimensionality, and inconsistent data quality. Recent advancements in transformer-based techniques have enhanced capabilities in forecasting and…

Machine Learning · Computer Science 2024-05-29 Robert Leppich , Vanessa Borst , Veronika Lesch , Samuel Kounev

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

Machine Learning · Statistics 2026-03-11 Shinto Eguchi

Time series are ubiquitous in many applications that involve forecasting, classification and causal inference tasks, such as healthcare, finance, audio signal processing and climate sciences. Still, large, high-quality time series datasets…

Machine Learning · Computer Science 2025-11-25 Yu-Hsiang Wang , Olgica Milenkovic

Several applications of Internet of Things (IoT) technology involve capturing data from multiple sensors resulting in multi-sensor time series. Existing neural networks based approaches for such multi-sensor or multivariate time series…

Machine Learning · Computer Science 2020-07-21 Vibhor Gupta , Jyoti Narwariya , Pankaj Malhotra , Lovekesh Vig , Gautam Shroff

Saliency maps have become a widely used method to make deep learning models more interpretable by providing post-hoc explanations of classifiers through identification of the most pertinent areas of the input medical image. They are…

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

Dealing with missing values and incomplete time series is a labor-intensive, tedious, inevitable task when handling data coming from real-world applications. Effective spatio-temporal representations would allow imputation methods to…

Machine Learning · Computer Science 2022-02-11 Andrea Cini , Ivan Marisca , Cesare Alippi

Saliency maps are widely used in the computer vision community for interpreting neural network classifiers. However, due to the randomness of training samples and optimization algorithms, the resulting saliency maps suffer from a…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Shizhan Gong , Jingwei Zhang , Qi Dou , Farzan Farnia

In data science, one is often confronted with a time series representing measurements of some quantity of interest. Usually, as a first step, features of the time series need to be extracted. These are numerical quantities that aim to…

Rings and Algebras · Mathematics 2020-10-20 Joscha Diehl , Kurusch Ebrahimi-Fard , Nikolas Tapia