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The Boltzmann distribution of a protein provides a roadmap to all of its functional states. Normalizing flows are a promising tool for modeling this distribution, but current methods are intractable for typical pharmacological targets; they…

Machine Learning · Computer Science 2024-01-10 Joseph C. Kim , David Bloore , Karan Kapoor , Jun Feng , Ming-Hong Hao , Mengdi Wang

Complex organic molecules (COMs) are observed to be abundant in various astrophysical environments, in particular toward star forming regions they are observed both toward protostellar envelopes as well as shocked regions. Emission spectrum…

Instrumentation and Methods for Astrophysics · Physics 2026-01-14 Nina Kessler , Timea Csengeri , David Cornu , Sylvain Bontemps , Laure Bouscasse

We study a fundamental problem in structure-based drug design -- generating molecules that bind to specific protein binding sites. While we have witnessed the great success of deep generative models in drug design, the existing methods are…

Biomolecules · Quantitative Biology 2022-11-15 Shitong Luo , Jiaqi Guan , Jianzhu Ma , Jian Peng

Deep generative models have achieved tremendous success in designing novel drug molecules in recent years. A new thread of works have shown the great potential in advancing the specificity and success rate of in silico drug design by…

Machine Learning · Computer Science 2025-07-14 Xingang Peng , Shitong Luo , Jiaqi Guan , Qi Xie , Jian Peng , Jianzhu Ma

Efficient sampling of the Boltzmann distribution of molecular systems is a long-standing challenge. Recently, instead of generating long molecular dynamics simulations, generative machine learning methods such as normalizing flows have been…

Machine Learning · Computer Science 2024-08-06 Henrik Schopmans , Pascal Friederich

This paper aims to examine the characteristics of the posterior distribution of covariance/precision matrices in a "large $p$, large $n$" scenario, where $p$ represents the number of variables and $n$ is the sample size. Our analysis…

Statistics Theory · Mathematics 2026-02-02 Partha Sarkar , Kshitij Khare , Malay Ghosh , Matt P. Wand

Generation of molecules with desired chemical and biological properties such as high drug-likeness, high binding affinity to target proteins, is critical for drug discovery. In this paper, we propose a probabilistic generative model to…

Biomolecules · Quantitative Biology 2023-07-12 Deqian Kong , Bo Pang , Tian Han , Ying Nian Wu

Proteins constitute a large group of macromolecules with a multitude of functions for all living organisms. Proteins achieve this by adopting distinct three-dimensional structures encoded by the sequence of their constituent amino acids in…

Methodology · Statistics 2021-09-16 Mohammad Arashi , Najmeh Nakhaei Rad , Andriette Bekker , Wolf Dieter Schubert

The de novo generation of molecules with desirable properties is a critical challenge, where diffusion models are computationally intensive and autoregressive models struggle with error propagation. In this work, we introduce the Graph…

Machine Learning · Computer Science 2025-12-03 Haozhuo Zheng , Cheng Wang , Yang Liu

The large-scale properties of chemical reaction systems, such as the metabolism, can be studied with graph-based methods. To do this, one needs to reduce the information -- lists of chemical reactions -- available in databases. Even for the…

Molecular Networks · Quantitative Biology 2009-09-25 Petter Holme

We introduce a novel, geometry-aware distance metric for the family of von Mises-Fisher (vMF) distributions, which are fundamental models for directional data on the unit hypersphere. Although the vMF distribution is widely employed in a…

Machine Learning · Statistics 2025-04-22 Kisung You , Dennis Shung , Mauro Giuffrè

We introduce MoS (Mixture of States), a novel fusion paradigm for multimodal diffusion models that merges modalities using flexible, state-based interactions. The core of MoS is a learnable, token-wise router that creates denoising…

Random graph mixture models are now very popular for modeling real data networks. In these setups, parameter estimation procedures usually rely on variational approximations, either combined with the expectation-maximisation (\textsc{em})…

Statistics Theory · Mathematics 2010-12-09 Christophe Ambroise , Catherine Matias

Understanding conformational change is crucial for programming and controlling the function of many mechanical systems such as allosteric enzymes and tunable metamaterials. Of particular interest is the relationship between the network…

Computational Physics · Physics 2019-07-24 Jason Z. Kim , Zhixin Lu , Steven H. Strogatz , Danielle S. Bassett

Neural message passing on molecular graphs is one of the most promising methods for predicting formation energy and other properties of molecules and materials. In this work we extend the neural message passing model with an edge update…

Machine Learning · Statistics 2018-06-11 Peter Bjørn Jørgensen , Karsten Wedel Jacobsen , Mikkel N. Schmidt

Generating a novel and optimized molecule with desired chemical properties is an essential part of the drug discovery process. Failure to meet one of the required properties can frequently lead to failure in a clinical test which is costly.…

Machine Learning · Computer Science 2020-10-28 Bonggun Shin , Sungsoo Park , JinYeong Bak , Joyce C. Ho

The study of molecule-target interaction is quite important for drug discovery in terms of target identification, hit identification, pathway study, drug-drug interaction, etc. Most existing methodologies utilize either biomedical network…

Machine Learning · Computer Science 2023-02-07 Jinjiang Guo , Jie Li

Molecule generation, especially generating 3D molecular geometries from scratch (i.e., 3D \textit{de novo} generation), has become a fundamental task in drug designs. Existing diffusion-based 3D molecule generation methods could suffer from…

Machine Learning · Computer Science 2022-09-14 Lei Huang , Hengtong Zhang , Tingyang Xu , Ka-Chun Wong

Molecule pretraining has quickly become the go-to schema to boost the performance of AI-based drug discovery. Naturally, molecules can be represented as 2D topological graphs or 3D geometric point clouds. Although most existing pertaining…

Machine Learning · Computer Science 2025-02-10 Shengchao Liu , Weitao Du , Zhiming Ma , Hongyu Guo , Jian Tang

Graph data are inherently complex and heterogeneous, leading to a high natural diversity of distributional shifts. However, it remains unclear how to build machine learning architectures that generalize to the complex distributional shifts…

Machine Learning · Computer Science 2024-10-29 Shirley Wu , Kaidi Cao , Bruno Ribeiro , James Zou , Jure Leskovec