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Motivated by the question of how macromolecules assemble, the notion of an {\it assembly tree} of a graph is introduced. Given a graph $G$, the paper is concerned with enumerating the number of assembly trees of $G$, a problem that applies…

Combinatorics · Mathematics 2012-04-18 Andrew Vince , Miklos Bona

We propose a molecular generative model based on the conditional variational autoencoder for de novo molecular design. It is specialized to control multiple molecular properties simultaneously by imposing them on a latent space. As a proof…

Machine Learning · Computer Science 2018-06-18 Jaechang Lim , Seongok Ryu , Jin Woo Kim , Woo Youn Kim

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

In this paper, we investigate the problem of generating the spanning trees of a graph $G$ up to the automorphisms or "symmetries" of $G$. After introducing and surveying this problem for general input graphs, we present algorithms that…

Data Structures and Algorithms · Computer Science 2025-08-20 Mithra Karamchedu , Lucas Bang

Despite recent advancements in single-domain or single-object image generation, it is still challenging to generate complex scenes containing diverse, multiple objects and their interactions. Scene graphs, composed of nodes as objects and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Sarthak Garg , Helisa Dhamo , Azade Farshad , Sabrina Musatian , Nassir Navab , Federico Tombari

Although artificial intelligence (AI) has made significant progress in understanding molecules in a wide range of fields, existing models generally acquire the single cognitive ability from the single molecular modality. Since the hierarchy…

Machine Learning · Computer Science 2022-09-14 Bing Su , Dazhao Du , Zhao Yang , Yujie Zhou , Jiangmeng Li , Anyi Rao , Hao Sun , Zhiwu Lu , Ji-Rong Wen

Molecular graph generation is a fundamental problem for drug discovery and has been attracting growing attention. The problem is challenging since it requires not only generating chemically valid molecular structures but also optimizing…

Machine Learning · Computer Science 2020-02-28 Chence Shi , Minkai Xu , Zhaocheng Zhu , Weinan Zhang , Ming Zhang , Jian Tang

The application of deep learning to generative molecule design has shown early promise for accelerating lead series development. However, questions remain concerning how factors like training, dataset, and seed bias impact the technology's…

Biomolecules · Quantitative Biology 2021-09-06 Seung-gu Kang , Joseph A. Morrone , Jeffrey K. Weber , Wendy D. Cornell

Generating molecules with desired biological activities has attracted growing attention in drug discovery. Previous molecular generation models are designed as chemocentric methods that hardly consider the drug-target interaction, limiting…

Machine Learning · Computer Science 2022-10-24 Cheng Tan , Zhangyang Gao , Stan Z. Li

Graph generation generally aims to create new graphs that closely align with a specific graph distribution. Existing works often implicitly capture this distribution through the optimization of generators, potentially overlooking the…

Machine Learning · Computer Science 2024-07-19 Song Wang , Zhen Tan , Xinyu Zhao , Tianlong Chen , Huan Liu , Jundong Li

Text generation from AMR involves emitting sentences that reflect the meaning of their AMR annotations. Neural sequence-to-sequence models have successfully been used to decode strings from flattened graphs (e.g., using depth-first or…

Computation and Language · Computer Science 2019-12-05 Lisa Jin , Daniel Gildea

Procuring expressive molecular representations underpins AI-driven molecule design and scientific discovery. The research mainly focuses on atom-level homogeneous molecular graphs, ignoring the rich information in subgraphs or motifs.…

Quantitative Methods · Quantitative Biology 2023-01-10 Fang Wu , Dragomir Radev , Stan Z. Li

Anatomical trees play an important role in clinical diagnosis and treatment planning. Yet, accurately representing these structures poses significant challenges owing to their intricate and varied topology and geometry. Most existing…

Image and Video Processing · Electrical Eng. & Systems 2025-09-18 Paula Feldman , Miguel Fainstein , Viviana Siless , Claudio Delrieux , Emmanuel Iarussi

We introduce a new graph diffusion model for small molecule generation, DMol, which outperforms the state-of-the-art DiGress model in terms of validity by roughly 1.5% across all benchmarking datasets while reducing the number of diffusion…

Machine Learning · Computer Science 2025-11-04 Peizhi Niu , Yu-Hsiang Wang , Vishal Rana , Chetan Rupakheti , Abhishek Pandey , Olgica Milenkovic

We investigate deep generative models that can exchange multiple modalities bi-directionally, e.g., generating images from corresponding texts and vice versa. Recently, some studies handle multiple modalities on deep generative models, such…

Machine Learning · Statistics 2016-11-08 Masahiro Suzuki , Kotaro Nakayama , Yutaka Matsuo

Autoregressive models (ARMs) have become the workhorse for sequence generation tasks, since many problems can be modeled as next-token prediction. While there appears to be a natural ordering for text (i.e., left-to-right), for many data…

Machine Learning · Computer Science 2025-07-15 Zhe Wang , Jiaxin Shi , Nicolas Heess , Arthur Gretton , Michalis K. Titsias

Despite decades of research, understanding human manipulation activities is, and has always been, one of the most attractive and challenging research topics in computer vision and robotics. Recognition and prediction of observed human…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Gamze Akyol , Sanem Sariel , Eren Erdal Aksoy

Graphical security models constitute a well-known, user-friendly way to represent the security of a system. These kinds of models are used by security experts to identify vulnerabilities and assess the security of a system. The manual…

Cryptography and Security · Computer Science 2023-09-26 Alyzia-Maria Konsta , Beatrice Spiga , Alberto Lluch Lafuente , Nicola Dragoni

The task of graph-to-text generation aims at producing sentences that preserve the meaning of input graphs. As a crucial defect, the current state-of-the-art models may mess up or even drop the core structural information of input graphs…

Computation and Language · Computer Science 2021-02-16 Linfeng Song , Ante Wang , Jinsong Su , Yue Zhang , Kun Xu , Yubin Ge , Dong Yu

When designing new molecules with particular properties, it is not only important what to make but crucially how to make it. These instructions form a synthesis directed acyclic graph (DAG), describing how a large vocabulary of simple…

Machine Learning · Computer Science 2020-12-22 John Bradshaw , Brooks Paige , Matt J. Kusner , Marwin H. S. Segler , José Miguel Hernández-Lobato
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