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Geometric trees are characterized by their tree-structured layout and spatially constrained nodes and edges, which significantly impacts their topological attributes. This inherent hierarchical structure plays a crucial role in domains such…

机器学习 · 计算机科学 2024-08-19 Zheng Zhang , Allen Zhang , Ruth Nelson , Giorgio Ascoli , Liang Zhao

Biomedical networks (or graphs) are universal descriptors for systems of interacting elements, from molecular interactions and disease co-morbidity to healthcare systems and scientific knowledge. Advances in artificial intelligence,…

机器学习 · 计算机科学 2025-02-07 Michelle M. Li , Kexin Huang , Marinka Zitnik

Spatial Transcriptomics (ST) merges the benefits of pathology images and gene expression, linking molecular profiles with tissue structure to analyze spot-level function comprehensively. Predicting gene expression from histology images is a…

计算机视觉与模式识别 · 计算机科学 2025-12-01 Chen Zhang , Yilu An , Ying Chen , Hao Li , Xitong Ling , Lihao Liu , Junjun He , Yuxiang Lin , Zihui Wang , Rongshan Yu

Integrating histopathology with spatial transcriptomics (ST) provides a powerful opportunity to link tissue morphology with molecular function. Yet most existing multimodal approaches rely on a small set of highly variable genes, which…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Sejuti Majumder , Saarthak Kapse , Moinak Bhattacharya , Xuan Xu , Alisa Yurovsky , Prateek Prasanna

Flow-matching methods for 3D shape assembly learn point-wise velocity fields that transport parts toward assembled configurations, yet they receive no explicit guidance about which cross-part interactions should drive the motion. We…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Nahyuk Lee , Zhiang Chen , Marc Pollefeys , Sunghwan Hong

Recent studies have demonstrated the potential of hyperbolic geometry for capturing complex patterns from interaction data in recommender systems. In this work, we introduce a novel hyperbolic recommendation model that uses geometrical…

信息检索 · 计算机科学 2025-08-19 Viacheslav Yusupov , Maxim Rakhuba , Evgeny Frolov

Hyperbolic geometry has emerged as a powerful tool for modeling complex, structured data, particularly where hierarchical or tree-like relationships are present. By enabling embeddings with lower distortion, hyperbolic neural networks offer…

机器学习 · 计算机科学 2025-06-18 Pol Arévalo , Alexis Molina , Álvaro Ciudad

We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid…

计算工程、金融与科学 · 计算机科学 2021-05-21 Li Zheng , Siddhant Kumar , Dennis M. Kochmann

Liver landmarks provide crucial anatomical guidance to the surgeon during laparoscopic liver surgery to minimize surgical risk. However, the tubular structural properties of landmarks and dynamic intraoperative deformations pose significant…

计算机视觉与模式识别 · 计算机科学 2025-07-02 Ruize Cui , Jiaan Zhang , Jialun Pei , Kai Wang , Pheng-Ann Heng , Jing Qin

To solve the spatial problems of mapping, localization and navigation, the mammalian lineage has developed striking spatial representations. One important spatial representation is the Nobel-prize winning grid cells: neurons that represent…

机器学习 · 计算机科学 2023-11-07 Rylan Schaeffer , Mikail Khona , Tzuhsuan Ma , Cristóbal Eyzaguirre , Sanmi Koyejo , Ila Rani Fiete

Complex systems are difficult to study not only because they are nonlinear, multiscale, and often nonstationary, but because their scientifically relevant organization is often invisible at the level of individual components, pairwise…

物理与社会 · 物理学 2026-03-30 Mark M. Bailey

Topological data analysis (TDA) has emerged as one of the most promising techniques to reconstruct the unknown shapes of high-dimensional spaces from observed data samples. TDA, thus, yields key shape descriptors in the form of persistent…

机器学习 · 统计学 2017-11-15 Wei Guo , Krithika Manohar , Steven L. Brunton , Ashis G. Banerjee

Object Navigation (ObjectNav) has made great progress with large language models (LLMs), but still faces challenges in memory management, especially in long-horizon tasks and dynamic scenes. To address this, we propose TopoNav, a new…

机器人学 · 计算机科学 2025-09-03 Peiran Liu , Qiang Zhang , Daojie Peng , Lingfeng Zhang , Yihao Qin , Hang Zhou , Jun Ma , Renjing Xu , Yiding Ji

Motivated by the challenging segmentation task of pancreatic tubular networks, this paper tackles two commonly encountered problems in biomedical imaging: Topological consistency of the segmentation, and expensive or difficult annotation.…

计算机视觉与模式识别 · 计算机科学 2023-06-29 Kasra Arnavaz , Oswin Krause , Kilian Zepf , Jelena M. Krivokapic , Silja Heilmann , Jakob Andreas Bærentzen , Pia Nyeng , Aasa Feragen

In clinical practice, many diagnosis tasks rely on the identification of cells in histopathology images. While supervised machine learning techniques require labels, providing manual cell annotations is time-consuming due to the large…

This paper introduces a topological framework for interpreting the internal representations of Multilayer Perceptrons (MLPs). We construct a simplicial tower, a sequence of simplicial complexes connected by simplicial maps, that captures…

机器学习 · 计算机科学 2025-06-03 Eduardo Paluzo-Hidalgo

We introduce an overlapping-domain approach to large-area metasurface design, in which each simulated domain consists of a unit cell and overlapping regions from the neighboring cells plus PML absorbers. We show that our approach generates…

光学 · 物理学 2020-01-08 Zin Lin , Steven G. Johnson

Real-world heterogeneous graphs are inherently noisy and usually not in the optimal graph structures for downstream tasks, which often adversely affects the performance of GRL models in downstream tasks. Although Graph Structure Learning…

机器学习 · 计算机科学 2026-04-08 He Zhao , Zhiwei Zeng , Yongwei Wang , Chunyan Miao

Token representations in high-dimensional latent spaces often exhibit redundancy, limiting computational efficiency and reducing structural coherence across model layers. Hierarchical latent space folding introduces a structured…

计算与语言 · 计算机科学 2025-08-11 Fenella Harcourt , Naderdel Piero , Gilbert Sutherland , Daphne Holloway , Harriet Bracknell , Julian Ormsby

Cell image analysis is crucial in Alzheimer's research to detect the presence of A$\beta$ protein inhibiting cell function. Deep learning speeds up the process by making only low-level data sufficient for fruitful inspection. We first found…

图像与视频处理 · 电气工程与系统科学 2021-08-04 Wooseok Jung