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The study of the interactions among different types of interconnected systems in complex networks has attracted significant interest across many research fields. However, effective signal processing over layered networks requires…

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Visual microscopic study of diseased tissue by pathologists has been the cornerstone for cancer diagnosis and prognostication for more than a century. Recently, deep learning methods have made significant advances in the analysis and…

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Composition is a powerful principle for systems biology, focused on the interfaces, interconnections, and orchestration of distributed processes to enable integrative multiscale simulations. Whereas traditional models focus on the structure…

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Although self-supervised learning enables us to bootstrap the training by exploiting unlabeled data, the generic self-supervised methods for natural images do not sufficiently incorporate the context. For medical images, a desirable method…

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Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Digital topology has its own working conditions and sometimes differs from the normal topology. In the area of topological robotics, we have important counterexamples in this study to emphasize this red line between a digital image and a…

Combinatorics · Mathematics 2022-10-05 Melih İs , İsmet Karaca

Medical image classification requires labeled, task-specific datasets which are used to train deep learning networks de novo, or to fine-tune foundation models. However, this process is computationally and technically demanding. In language…

The complex and dynamic crosstalk between tumour and immune cells results in tumours that can exhibit distinct qualitative behaviours - elimination, equilibrium, and escape - and intricate spatial patterns, yet share similar cell…

In pathology image analysis, obtaining and maintaining high-quality annotated samples is an extremely labor-intensive task. To overcome this challenge, mixing-based methods have emerged as effective alternatives to traditional preprocessing…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Tianyi Zhang , Zhiling Yan , Chunhui Li , Nan Ying , Yanli Lei , Yunlu Feng , Yu Zhao , Guanglei Zhang

The hippocampus supports spatial navigation by encoding cognitive maps through collective place cell activity. We model the place cell population as non-negative spatial embeddings derived from the spectral decomposition of multi-step…

Neurons and Cognition · Quantitative Biology 2025-10-28 Minglu Zhao , Dehong Xu , Deqian Kong , Wen-Hao Zhang , Ying Nian Wu

Topological states in photonics offer novel prospects for guiding and manipulating photons and facilitate the development of modern optical components for a variety of applications. Over the past few years, photonic topology physics has…

Applied Physics · Physics 2023-07-19 Robin Singh , Anuradha Murthy Agarwal , Brian W Anthony

As both machine learning models and the datasets on which they are evaluated have grown in size and complexity, the practice of using a few summary statistics to understand model performance has become increasingly problematic. This is…

To create heterogeneous, multiscale structures with unprecedented functionalities, recent topology optimization approaches design either fully aperiodic systems or functionally graded structures, which compete in terms of design freedom and…

Computational Engineering, Finance, and Science · Computer Science 2022-04-05 Yu-Chin Chan , Daicong Da , Liwei Wang , Wei Chen

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

Neural and Evolutionary Computing · Computer Science 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

The goal of spatial-configuration-based classification is to build a classifier to distinguish two classes (e.g., responder, non-responder) based on the spatial arrangements (e.g., spatial interactions between different point categories)…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Majid Farhadloo , Carl Molnar , Gaoxiang Luo , Yan Li , Shashi Shekhar , Rachel L. Maus , Svetomir N. Markovic , Raymond Moore , Alexey Leontovich

Deep models are used for molecular property prediction, yet they are often difficult to interpret and may rely on spurious context rather than causal structure, which reduces reliability under distribution shift and harms predictive…

Machine Learning · Computer Science 2026-02-10 Tao Li , Kaiyuan Hou , Tuan Vinh , Monika Raj , Carl Yang

Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning. We present a differentiable topology layer that computes persistent homology based on level set…

Comparing mathematical models offers a means to evaluate competing scientific theories. However, exact methods of model calibration are not applicable to many probabilistic models which simulate high-dimensional spatio-temporal data.…

Quantitative Methods · Quantitative Biology 2026-01-13 Robert A McDonald , Helen M Byrne , Heather A Harrington , Thomas Thorne , Bernadette J Stolz

In many scenarios, especially biomedical applications, the correct delineation of complex fine-scaled structures such as neurons, tissues, and vessels is critical for downstream analysis. Despite the strong predictive power of deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Xiaoling Hu

Deep learning has shown strong potential in cancer classification from whole-slide images (WSIs), but the need for extensive expert annotations often limits its success. Annotation-free approaches, such as multiple instance learning (MIL)…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Willmer Rafell Quinones Robles , Sakonporn Noree , Jongwoo Kim , Young Sin Ko , Bryan Wong , Mun Yong Yi
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