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We propose an extension to the transformer neural network architecture for general-purpose graph learning by adding a dedicated pathway for pairwise structural information, called edge channels. The resultant framework - which we call…

Machine Learning · Computer Science 2022-06-06 Md Shamim Hussain , Mohammed J. Zaki , Dharmashankar Subramanian

Humans naturally perceive the geometric structure and semantic content of a 3D world as intertwined dimensions, enabling coherent and accurate understanding of complex scenes. However, most prior approaches prioritize training large…

Computer Vision and Pattern Recognition · Computer Science 2025-11-03 Hao Li , Zhengyu Zou , Fangfu Liu , Xuanyang Zhang , Fangzhou Hong , Yukang Cao , Yushi Lan , Manyuan Zhang , Gang Yu , Dingwen Zhang , Ziwei Liu

Shape assembly, which aims to reassemble separate parts into a complete object, has gained significant interest in recent years. Existing methods primarily rely on networks to predict the poses of individual parts, but often fail to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Jiahan Li , Chaoran Cheng , Jianzhu Ma , Ge Liu

Previous work on symmetric group equivariant neural networks generally only considered the case where the group acts by permuting the elements of a single vector. In this paper we derive formulae for general permutation equivariant layers,…

Machine Learning · Computer Science 2020-04-09 Erik Henning Thiede , Truong Son Hy , Risi Kondor

Learning to reason about relations and dynamics over multiple interacting objects is a challenging topic in machine learning. The challenges mainly stem from that the interacting systems are exponentially-compositional, symmetrical, and…

Machine Learning · Computer Science 2022-03-15 Wenbing Huang , Jiaqi Han , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Geometric deep learning enables the encoding of physical symmetries in modeling 3D objects. Despite rapid progress in encoding 3D symmetries into Graph Neural Networks (GNNs), a comprehensive evaluation of the expressiveness of these…

Machine Learning · Computer Science 2023-04-12 Weitao Du , Yuanqi Du , Limei Wang , Dieqiao Feng , Guifeng Wang , Shuiwang Ji , Carla Gomes , Zhi-Ming Ma

Accurate prediction of ionic conductivity in electrolyte systems is crucial for advancing numerous scientific and technological applications. While significant progress has been made, current research faces two fundamental challenges: (1)…

Machine Learning · Computer Science 2025-10-29 Anyi Li , Jiacheng Cen , Songyou Li , Mingze Li , Yang Yu , Wenbing Huang

Graph Transformers (GTs) have emerged as a powerful paradigm for graph representation learning due to their ability to model diverse node interactions. However, existing GTs often rely on intricate architectural designs tailored to specific…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Yujie Xing , Xiao Wang , Bin Wu , Hai Huang , Chuan Shi

Despite significant progress in 3D object detection, point clouds remain challenging due to sparse data, incomplete structures, and limited semantic information. Capturing contextual relationships between distant objects presents additional…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Md Sohag Mia , Md Nahid Hasan , Muhammad Abdullah Adnan

Designing new molecules is essential for drug discovery and material science. Recently, deep generative models that aim to model molecule distribution have made promising progress in narrowing down the chemical research space and generating…

Biomolecules · Quantitative Biology 2023-06-06 Han Huang , Leilei Sun , Bowen Du , Weifeng Lv

Generative adversarial networks have led to significant advances in cross-modal/domain translation. However, typically these networks are designed for a specific task (e.g., dialogue generation or image synthesis, but not both). We present…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Shuang Ma , Daniel McDuff , Yale Song

Geometric Graph Neural Networks (GNNs) and Transformers have become state-of-the-art for learning from 3D protein structures. However, their reliance on message passing prevents them from capturing the hierarchical interactions that govern…

Machine Learning · Computer Science 2025-12-09 Chang Liu , Vivian Li , Linus Leong , Vladimir Radenkovic , Pietro Liò , Chaitanya K. Joshi

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

Molecular understanding is central to advancing areas such as scientific discovery, yet Large Language Models (LLMs) struggle to understand molecular graphs effectively. Existing graph-LLM bridges often adapt the Q-Former-style connector…

Machine Learning · Computer Science 2026-03-03 Zihao Jing , Qiuhao Zeng , Ruiyi Fang , Yan Sun , Boyu Wang , Pingzhao Hu

Point clouds are versatile representations of 3D objects and have found widespread application in science and engineering. Many successful deep-learning models have been proposed that use them as input. The domain of chemical and materials…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Sergey N. Pozdnyakov , Michele Ceriotti

The generation of 3D molecules requires simultaneously deciding the categorical features~(atom types) and continuous features~(atom coordinates). Deep generative models, especially Diffusion Models (DMs), have demonstrated effectiveness in…

Machine Learning · Computer Science 2023-12-13 Yuxuan Song , Jingjing Gong , Minkai Xu , Ziyao Cao , Yanyan Lan , Stefano Ermon , Hao Zhou , Wei-Ying Ma

In hierarchal order of molecular geometry, we compare the performances of Geometric Quantum Machine Learning models. Two molecular datasets are considered: the simplistic linear shaped LiH-molecule and the trigonal pyramidal molecule NH3.…

Machine Learning · Computer Science 2025-12-08 Saumya Biswas , Jiten Oswal

Transformers serve as the backbone architectures of Foundational Models, where domain-specific tokenizers allow them to adapt to various domains. Graph Transformers (GTs) have recently emerged as leading models in geometric deep learning,…

Neural and Evolutionary Computing · Computer Science 2025-04-03 Limei Wang , Kaveh Hassani , Si Zhang , Dongqi Fu , Baichuan Yuan , Weilin Cong , Zhigang Hua , Hao Wu , Ning Yao , Bo Long

Leveraging domain knowledge including fingerprints and functional groups in molecular representation learning is crucial for chemical property prediction and drug discovery. When modeling the relation between graph structure and molecular…

Machine Learning · Computer Science 2021-03-25 Yin Fang , Haihong Yang , Xiang Zhuang , Xin Shao , Xiaohui Fan , Huajun Chen

Designing molecules with desirable physiochemical properties and functionalities is a long-standing challenge in chemistry, material science, and drug discovery. Recently, machine learning-based generative models have emerged as promising…

Biomolecules · Quantitative Biology 2023-04-26 Zaixi Zhang , Qi Liu , Chee-Kong Lee , Chang-Yu Hsieh , Enhong Chen