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Geometric and Topological Deep Learning are rapidly growing research areas that enhance machine learning through the use of geometric and topological structures. Within this framework, Group Equivariant Non-Expansive Operators (GENEOs) have…

表示论 · 数学 2026-01-14 Francesco Conti , Patrizio Frosini , Nicola Quercioli

The theory of Group Equivariant Non-Expansive Operators (GENEOs) was initially developed in Topological Data Analysis for the geometric approximation of data observers, including their invariances and symmetries. This paper departs from…

机器学习 · 计算机科学 2025-02-27 Giovanni Bocchi , Massimo Ferri , Patrizio Frosini

Predicting the binding sites of target proteins plays a fundamental role in drug discovery. Most existing deep-learning methods consider a protein as a 3D image by spatially clustering its atoms into voxels and then feed the voxelized…

生物大分子 · 定量生物学 2024-07-24 Yang Zhang , Zhewei Wei , Ye Yuan , Chongxuan Li , Wenbing Huang

Learning and reasoning about 3D molecular structures with varying size is an emerging and important challenge in machine learning and especially in drug discovery. Equivariant Graph Neural Networks (GNNs) can simultaneously leverage the…

机器学习 · 计算机科学 2022-03-03 Tuan Le , Frank Noé , Djork-Arné Clevert

We present a novel method for the automatic detection of pockets on protein molecular surfaces. The algorithm is based on an ad hoc hierarchical clustering of virtual SES probe spheres obtained from the geometrical primitives generated by…

生物大分子 · 定量生物学 2022-12-23 Luca Gagliardi , Walter Rocchia

The generation of ligands that both are tailored to a given protein pocket and exhibit a range of desired chemical properties is a major challenge in structure-based drug design. Here, we propose an in-silico approach for the $\textit{de…

生物大分子 · 定量生物学 2024-05-27 Julian Cremer , Tuan Le , Frank Noé , Djork-Arné Clevert , Kristof T. Schütt

Many physical processes in science and engineering are naturally represented by operators between infinite-dimensional function spaces. The problem of operator learning, in this context, seeks to extract these physical processes from…

机器学习 · 计算机科学 2024-01-22 Hao Liu , Biraj Dahal , Rongjie Lai , Wenjing Liao

Despite the successes of deep learning in computer vision, difficulties persist in recognizing objects that have undergone group-symmetric transformations rarely seen during training$\unicode{x2013}$for example objects seen in unusual…

计算机视觉与模式识别 · 计算机科学 2026-03-11 Minh Dinh , Stéphane Deny

Equivariant neural networks, whose hidden features transform according to representations of a group G acting on the data, exhibit training efficiency and an improved generalisation performance. In this work, we extend group invariant and…

机器学习 · 计算机科学 2024-04-15 Robin Winter , Marco Bertolini , Tuan Le , Frank Noé , Djork-Arné Clevert

Automatic tumor or lesion segmentation is a crucial step in medical image analysis for computer-aided diagnosis. Although the existing methods based on Convolutional Neural Networks (CNNs) have achieved the state-of-the-art performance,…

图像与视频处理 · 电气工程与系统科学 2022-08-01 Shuchao Pang , Anan Du , Mehmet A. Orgun , Yan Wang , Quan Z. Sheng , Shoujin Wang , Xiaoshui Huang , Zhenmei Yu

Biologists frequently desire protein inhibitors for a variety of reasons, including use as research tools for understanding biological processes and application to societal problems in agriculture, healthcare, etc. Immunotherapy, for…

机器学习 · 计算机科学 2024-11-04 Po-Yu Liang , Jun Bai

Applications of machine learning techniques for materials modeling typically involve functions known to be equivariant or invariant to specific symmetries. While graph neural networks (GNNs) have proven successful in such tasks, they…

Being able to identify regions within or around proteins, to which ligands can potentially bind, is an essential step to develop new drugs. Binding site identification methods can now profit from the availability of large amounts of 3D…

Predicting the docking between proteins and ligands is a crucial and challenging task for drug discovery. However, traditional docking methods mainly rely on scoring functions, and deep learning-based docking approaches usually neglect the…

生物大分子 · 定量生物学 2026-01-06 Yiqiang Yi , Xu Wan , Yatao Bian , Le Ou-Yang , Peilin Zhao

Graph neural networks (GNNs) have shown considerable promise in computational chemistry. However, the limited availability of molecular data raises concerns regarding GNNs' ability to effectively capture the fundamental principles of…

机器学习 · 计算机科学 2025-03-12 Junyi An , Chao Qu , Yun-Fei Shi , XinHao Liu , Qianwei Tang , Fenglei Cao , Yuan Qi

Virtual screening (VS) is a critical component of modern drug discovery, yet most existing methods--whether physics-based or deep learning-based--are developed around holo protein structures with known ligand-bound pockets. Consequently,…

机器学习 · 计算机科学 2025-10-31 Wenyu Zhu , Jianhui Wang , Bowen Gao , Yinjun Jia , Haichuan Tan , Ya-Qin Zhang , Wei-Ying Ma , Yanyan Lan

Ensemble learning is a general technique to improve accuracy in machine learning. However, the heavy computation of a ConvNets ensemble limits its usage in deep learning. In this paper, we present Group Ensemble Network (GENet), an…

计算机视觉与模式识别 · 计算机科学 2020-07-02 Hao Chen , Abhinav Shrivastava

Medical image segmentation requires large annotated datasets, creating a significant bottleneck for clinical applications. While few-shot segmentation methods can learn from minimal examples, existing approaches demonstrate suboptimal…

计算机视觉与模式识别 · 计算机科学 2025-12-25 Ziyuan Gao

Automatic tumor segmentation is a crucial step in medical image analysis for computer-aided diagnosis. Although the existing methods based on convolutional neural networks (CNNs) have achieved the state-of-the-art performance, many…

图像与视频处理 · 电气工程与系统科学 2020-05-11 Shuchao Pang , Anan Du , Mehmet A. Orgun , Yan Wang , Quanzheng Sheng , Shoujin Wang , Xiaoshui Huang , Zhemei Yu

Reliable training of generative adversarial networks (GANs) typically require massive datasets in order to model complicated distributions. However, in several applications, training samples obey invariances that are \textit{a priori}…

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