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Scientific and engineering processes deliver massive high-dimensional data sets that are generated as non-linear transformations of an initial state and few process parameters. Mapping such data to a low-dimensional manifold facilitates…

Machine Learning · Statistics 2018-08-07 Frank Schoeneman , Varun Chandola , Nils Napp , Olga Wodo , Jaroslaw Zola

Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

Despite outstanding contribution to the significant progress of Artificial Intelligence (AI), deep learning models remain mostly black boxes, which are extremely weak in explainability of the reasoning process and prediction results.…

Machine Learning · Computer Science 2020-02-11 Sheng Shi , Xinfeng Zhang , Wei Fan

An increasing number of machine learning models have been deployed in domains with high stakes such as finance and healthcare. Despite their superior performances, many models are black boxes in nature which are hard to explain. There are…

Machine Learning · Computer Science 2022-04-01 Shivani Choudhary , Niladri Chatterjee , Subir Kumar Saha

Supervised Machine Learning (SML) algorithms such as Gradient Boosting, Random Forest, and Neural Networks have become popular in recent years due to their increased predictive performance over traditional statistical methods. This is…

Machine Learning · Statistics 2018-06-05 Linwei Hu , Jie Chen , Vijayan N. Nair , Agus Sudjianto

Artificial Intelligence algorithms have now become pervasive in multiple high-stakes domains. However, their internal logic can be obscure to humans. Explainable Artificial Intelligence aims to design tools and techniques to illustrate the…

Human-Computer Interaction · Computer Science 2024-04-29 Eleonora Cappuccio , Daniele Fadda , Rosa Lanzilotti , Salvatore Rinzivillo

Understanding why and how certain neural networks outperform others is key to guiding future development of network architectures and optimization methods. To this end, we introduce a novel visualization algorithm that reveals the internal…

Machine Learning · Computer Science 2019-12-03 Scott Gigante , Adam S. Charles , Smita Krishnaswamy , Gal Mishne

How do classification models "see" our data? Based on their success in delineating behaviors, there must be some lens through which it is easy to see the boundary between classes; however, our current set of visualization techniques makes…

Machine Learning · Computer Science 2026-03-17 Christian Jorgensen , Arthur Y. Lin , Rhushil Vasavada , Rose K. Cersonsky

Physics-informed machine learning (PIML), referring to the combination of prior knowledge of physics, which is the high level abstraction of natural phenomenons and human behaviours in the long history, with data-driven machine learning…

Machine Learning · Computer Science 2022-04-01 Chuizheng Meng , Sungyong Seo , Defu Cao , Sam Griesemer , Yan Liu

Studying complex real-world phenomena often involves data from multiple views (e.g. sensor modalities or brain regions), each capturing different aspects of the underlying system. Within neuroscience, there is growing interest in…

Machine learning (ML) methods can effectively analyse data, recognize patterns in them, and make high-quality predictions. Good predictions usually come along with "black-box" models that are unable to present the detected patterns in a…

Human-Computer Interaction · Computer Science 2022-08-25 Jacqueline Wastensteiner , Tobias M. Weiss , Felix Haag , Konstantin Hopf

The chemical sciences are producing an unprecedented amount of large, high-dimensional data sets containing chemical structures and associated properties. However, there are currently no algorithms to visualize such data while preserving…

Human-Computer Interaction · Computer Science 2020-01-07 Daniel Probst , Jean-Louis Reymond

In an era where symbolic mathematical equations are indispensable for modeling complex natural phenomena, scientific inquiry often involves collecting observations and translating them into mathematical expressions. Recently, deep learning…

Machine Learning · Computer Science 2024-03-18 Kazem Meidani , Parshin Shojaee , Chandan K. Reddy , Amir Barati Farimani

Effective data visualization is a key part of the discovery process in the era of big data. It is the bridge between the quantitative content of the data and human intuition, and thus an essential component of the scientific path from data…

In recent years, hyperspectral imaging, also known as imaging spectroscopy, has been paid an increasing interest in geoscience and remote sensing community. Hyperspectral imagery is characterized by very rich spectral information, which…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Danfeng Hong , Jing Yao , Xin Wu , Jocelyn Chanussot , Xiao Xiang Zhu

Interpreting black box classifiers, such as deep networks, allows an analyst to validate a classifier before it is deployed in a high-stakes setting. A natural idea is to visualize the deep network's representations, so as to "see what the…

Machine Learning · Computer Science 2018-03-13 Kai Xu , Dae Hoon Park , Chang Yi , Charles Sutton

Euclidean representation learning methods have achieved promising results in image fusion tasks, which can be attributed to their clear advantages in handling with linear space. However, data collected from a realistic scene usually has a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Huan Kang , Hui Li , Tianyang Xu , Xiao-Jun Wu , Rui Wang , Chunyang Cheng , Josef Kittler

Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

As machine learning systems become democratized, it becomes increasingly important to help users easily debug their models. However, current data tools are still primitive when it comes to helping users trace model performance problems all…

Databases · Computer Science 2019-01-08 Yeounoh Chung , Tim Kraska , Neoklis Polyzotis , Ki Hyun Tae , Steven Euijong Whang

Discovering physical laws directly from high-dimensional visual data is a long-standing human pursuit but remains a formidable challenge for machines, representing a fundamental goal of scientific intelligence. This task is inherently…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Ruikun Li , Jun Yao , Yingfan Hua , Shixiang Tang , Biqing Qi , Bin Liu , Wanli Ouyang , Yan Lu