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In this paper, we consider topological featurizations of data defined over simplicial complexes, like images and labeled graphs, obtained by convolving this data with various filters before computing persistence. Viewing a convolution…

代数拓扑 · 数学 2024-01-26 Elchanan Solomon , Paul Bendich

Over the past decade, deep learning has proven to be a highly effective tool for learning meaningful features from raw data. However, it remains an open question how deep networks perform hierarchical feature learning across layers. In this…

机器学习 · 计算机科学 2025-11-17 Peng Wang , Xiao Li , Can Yaras , Zhihui Zhu , Laura Balzano , Wei Hu , Qing Qu

Understanding the three-dimensional motion of bubbles is essential for interpreting transport and mixing in multiphase flows, especially when bubbles deform under shear or move rapidly through the flow field. In many laboratory setups, only…

流体动力学 · 物理学 2026-01-30 Chaitanya S Nayak , Faizaan Mohammed , Vivek Kumar , Shivam Prajapati , Cyrus Aidun

Lane segmentation is a challenging issue in autonomous driving system designing because lane marks show weak textural consistency due to occlusion or extreme illumination but strong geometric continuity in traffic images, from which general…

计算机视觉与模式识别 · 计算机科学 2021-08-10 Haoyu Fang , Jing Zhu , Yi Fang

While learning based compression techniques for images have outperformed traditional methods, they have not been widely adopted in machine learning pipelines. This is largely due to lack of standardization and lack of retention of salient…

图像与视频处理 · 电气工程与系统科学 2024-10-01 Kartik Gupta , Kimberley Faria , Vikas Mehta

Persistent homology, an algebraic method for discerning structure in abstract data, relies on the construction of a sequence of nested topological spaces known as a filtration. Two-parameter persistent homology allows the analysis of data…

计算几何 · 计算机科学 2022-07-08 Anway De , Thong Vo , Matthew Wright

We undertake Bayesian learning of the high-dimensional functional relationship between a system parameter vector and an observable, that is in general tensor-valued. The ultimate aim is Bayesian inverse prediction of the system parameters,…

统计方法学 · 统计学 2018-04-17 Kangrui Wang , Dalia Chakrabarty

Deep learning has been widely applied in neuroimaging, including predicting brain-phenotype relationships from magnetic resonance imaging (MRI) volumes. MRI data usually requires extensive preprocessing prior to modeling, but variation…

机器学习 · 计算机科学 2023-10-17 Xinhui Li , Alex Fedorov , Mrinal Mathur , Anees Abrol , Gregory Kiar , Sergey Plis , Vince Calhoun

Multi-view learning has become a popular research topic in recent years, but research on the cross-application of classic multi-label classification and multi-view learning is still in its early stages. In this paper, we focus on the…

计算机视觉与模式识别 · 计算机科学 2024-04-29 Chengliang Liu , Jie Wen , Yabo Liu , Chao Huang , Zhihao Wu , Xiaoling Luo , Yong Xu

Persistent homology analysis provides means to capture the connectivity structure of data sets in various dimensions. On the mathematical level, by defining a metric between the objects that persistence attaches to data sets, we can…

机器学习 · 计算机科学 2019-06-12 Henri Riihimäki , José Licón-Saláiz

Classification and identification of the materials lying over or beneath the Earth's surface have long been a fundamental but challenging research topic in geoscience and remote sensing (RS) and have garnered a growing concern owing to the…

计算机视觉与模式识别 · 计算机科学 2020-08-13 Danfeng Hong , Lianru Gao , Naoto Yokoya , Jing Yao , Jocelyn Chanussot , Qian Du , Bing Zhang

Recognition of objects with subtle differences has been used in many practical applications, such as car model recognition and maritime vessel identification. For discrimination of the objects in fine-grained detail, we focus on deep…

计算机视觉与模式识别 · 计算机科学 2019-07-23 Kaan Karaman , Erhan Gundogdu , Aykut Koc , A. Aydin Alatan

Dimensionality reduction methods are employed to decrease data dimensionality, either to enhance machine learning performance or to facilitate data visualization in two or three-dimensional spaces. These methods typically fall into two…

机器学习 · 计算机科学 2025-08-26 Berat Dogan

A morphological perceptron is a multilayer feedforward neural network in which neurons perform elementary operations from mathematical morphology. For multiclass classification tasks, a morphological perceptron with a competitive layer…

机器学习 · 计算机科学 2025-09-09 Iara Cunha , Marcos Eduardo Valle

Contour detection has been a fundamental component in many image segmentation and object detection systems. Most previous work utilizes low-level features such as texture or saliency to detect contours and then use them as cues for a…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Gedas Bertasius , Jianbo Shi , Lorenzo Torresani

We introduce a new algorithm, called CDER, for supervised machine learning that merges the multi-scale geometric properties of Cover Trees with the information-theoretic properties of entropy. CDER applies to a training set of labeled…

机器学习 · 计算机科学 2018-01-23 Abraham Smith , Paul Bendich , John Harer , Alex Pieloch , Jay Hineman

Multi-label classification (MLC) is an important class of machine learning problems that come with a wide spectrum of applications, each demanding a possibly different evaluation criterion. When solving the MLC problems, we generally expect…

机器学习 · 计算机科学 2019-10-08 Yao-Yuan Yang , Yi-An Lin , Hong-Min Chu , Hsuan-Tien Lin

This paper proposes a probabilistic deep metric learning (PDML) framework for hyperspectral image classification, which aims to predict the category of each pixel for an image captured by hyperspectral sensors. The core problem for…

计算机视觉与模式识别 · 计算机科学 2022-11-16 Chengkun Wang , Wenzhao Zheng , Xian Sun , Jiwen Lu , Jie Zhou

Pre-trained Vision Foundation Models (VFMs) provide strong visual representations for a wide range of applications. In this paper, we continually pre-train prevailing VFMs in a multimodal manner such that they can effortlessly process…

计算机视觉与模式识别 · 计算机科学 2025-05-19 Yitong Chen , Lingchen Meng , Wujian Peng , Zuxuan Wu , Yu-Gang Jiang

Multimodal learning has mainly focused on learning large models on, and fusing feature representations from, different modalities for better performances on downstream tasks. In this work, we take a detour from this trend and study the…

计算机视觉与模式识别 · 计算机科学 2023-05-08 Yifeng Shi , Marc Niethammer