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Mixed-Integer Linear Programming (MILP) is a foundational tool for complex decision-making problems. However, the NP-hard nature of MILP presents a significant computational challenge, motivating the development of machine learning-based…

Optimization and Control · Mathematics 2026-03-03 Hongpei Li , Hui Yuan , Han Zhang , Jianghao Lin , Dongdong Ge , Mengdi Wang , Yinyu Ye

Wasserstein gradient flows (WGFs) describe the evolution of probability distributions in Wasserstein space as steepest descent dynamics for a free energy functional. Computing the full path from an arbitrary initial distribution to…

Machine Learning · Computer Science 2026-04-14 Chengyu Liu , Xiang Zhou

Recent advancements in deep learning-based modeling of molecules promise to accelerate in silico drug discovery. A plethora of generative models is available, building molecules either atom-by-atom and bond-by-bond or fragment-by-fragment.…

Diffusion models have emerged as a leading framework in generative modeling, poised to transform the traditionally slow and costly process of drug discovery. This review provides a systematic comparison of their application in designing two…

Machine Learning · Computer Science 2025-11-27 Yiquan Wang , Yahui Ma , Yuhan Chang , Jiayao Yan , Jialin Zhang , Minnuo Cai , Kai Wei

A central goal in systems biology and drug discovery is to predict the transcriptional response of cells to perturbations. This task is challenging due to the noisy and sparse nature of single-cell measurements, as well as the fact that…

Quantitative Methods · Quantitative Biology 2026-02-10 Chenglei Yu , Chuanrui Wang , Bangyan Liao , Tailin Wu

We introduce DrugFlow, a generative model for structure-based drug design that integrates continuous flow matching with discrete Markov bridges, demonstrating state-of-the-art performance in learning chemical, geometric, and physical…

Machine Learning · Computer Science 2025-08-26 Arne Schneuing , Ilia Igashov , Adrian W. Dobbelstein , Thomas Castiglione , Michael Bronstein , Bruno Correia

Recent advances in generative deep learning have transformed small molecule design, but most methods lack biological systems context, focusing narrowly on specific protein pockets. We introduce a non-differentiable diffusion guidance method…

Biomolecules · Quantitative Biology 2024-10-15 Vincent D. Zaballa , Elliot E. Hui

Effectively designing molecular geometries is essential to advancing pharmaceutical innovations, a domain, which has experienced great attention through the success of generative models and, in particular, diffusion models. However, current…

Biomolecules · Quantitative Biology 2025-01-07 Sirine Ayadi , Leon Hetzel , Johanna Sommer , Fabian Theis , Stephan Günnemann

We consider the problem of molecular graph generation using deep models. While graphs are discrete, most existing methods use continuous latent variables, resulting in inaccurate modeling of discrete graph structures. In this work, we…

Machine Learning · Computer Science 2021-06-03 Youzhi Luo , Keqiang Yan , Shuiwang Ji

n this work, we propose a latent molecular diffusion model that can make the generated 3D molecules rich in diversity and maintain rich geometric features. The model captures the information of the forces and local constraints between atoms…

Machine Learning · Computer Science 2024-12-06 Xiang Chen

This work introduces MiDi, a novel diffusion model for jointly generating molecular graphs and their corresponding 3D arrangement of atoms. Unlike existing methods that rely on predefined rules to determine molecular bonds based on the 3D…

Machine Learning · Computer Science 2023-06-06 Clement Vignac , Nagham Osman , Laura Toni , Pascal Frossard

Generating molecules that bind to specific proteins is an important but challenging task in drug discovery. Previous works usually generate atoms in an auto-regressive way, where element types and 3D coordinates of atoms are generated one…

Biomolecules · Quantitative Biology 2024-07-16 Haitao Lin , Yufei Huang , Odin Zhang , Siqi Ma , Meng Liu , Xuanjing Li , Lirong Wu , Jishui Wang , Tingjun Hou , Stan Z. Li

Navigating the vast chemical space of druggable compounds is a formidable challenge in drug discovery, where generative models are increasingly employed to identify viable candidates. Conditional 3D structure-based drug design (3D-SBDD)…

Machine Learning · Computer Science 2025-02-04 Kiwoong Yoo , Owen Oertell , Junhyun Lee , Sanghoon Lee , Jaewoo Kang

MultiPUFFIN is a domain-informed multimodal foundation model for predicting thermophysical properties of small molecules, addressing a critical gap in chemical engineering, drug discovery, and materials science. Existing molecular…

Designing protein sequences with specific biological functions and structural stability is crucial in biology and chemistry. Generative models already demonstrated their capabilities for reliable protein design. However, previous models are…

Machine Learning · Computer Science 2024-02-28 Lin Zongying , Li Hao , Lv Liuzhenghao , Lin Bin , Zhang Junwu , Chen Calvin Yu-Chian , Yuan Li , Tian Yonghong

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

Molecular knowledge resides within three different modalities of information sources: molecular structures, biomedical documents, and knowledge bases. Effective incorporation of molecular knowledge from these modalities holds paramount…

Biomolecules · Quantitative Biology 2023-07-24 Yizhen Luo , Kai Yang , Massimo Hong , Xing Yi Liu , Zaiqing Nie

The design space of discrete-space diffusion or flow generative models are significantly less well-understood than their continuous-space counterparts, with many works focusing only on a simple masked construction. In this work, we aim to…

Generative modeling over discrete data has recently seen numerous success stories, with applications spanning language modeling, biological sequence design, and graph-structured molecular data. The predominant generative modeling paradigm…

Machine Learning · Computer Science 2024-11-01 Oscar Davis , Samuel Kessler , Mircea Petrache , İsmail İlkan Ceylan , Michael Bronstein , Avishek Joey Bose

We study how to generate molecule conformations (i.e., 3D structures) from a molecular graph. Traditional methods, such as molecular dynamics, sample conformations via computationally expensive simulations. Recently, machine learning…

Machine Learning · Computer Science 2021-04-01 Minkai Xu , Shitong Luo , Yoshua Bengio , Jian Peng , Jian Tang
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