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Cyclic reduction is a method for the solution of (block-)tridiagonal linear systems. In this note we review the method tailored to hermitian positive definite banded linear systems. The reviewed method has the following advantages: It is…

Numerical Analysis · Mathematics 2018-07-03 Martin Neuenhofen

Structure-based protein design has attracted increasing interest, with numerous methods being introduced in recent years. However, a universally accepted method for evaluation has not been established, since the wet-lab validation can be…

Quantitative Methods · Quantitative Biology 2023-12-04 Chuanrui Wang , Bozitao Zhong , Zuobai Zhang , Narendra Chaudhary , Sanchit Misra , Jian Tang

Macrocyclic peptides are an emerging modality that combines biologics-like affinity with small-molecule-like developability, but their vast combinatorial space and multi-parameter objectives make lead optimization slow and challenging.…

Machine Learning · Computer Science 2025-11-24 Trieu Nguyen , Hao-Wei Pang , Shasha Feng

Antibodies are Y-shaped proteins that neutralize pathogens and constitute the core of our adaptive immune system. De novo generation of new antibodies that target specific antigens holds the key to accelerating vaccine discovery. However,…

Machine Learning · Computer Science 2023-06-05 Yogesh Verma , Markus Heinonen , Vikas Garg

Antimicrobial peptides (AMPs) are promising therapeutic approaches against drug-resistant pathogens. Recently, deep generative models are used to discover new AMPs. However, previous studies mainly focus on peptide sequence attributes and…

Biomolecules · Quantitative Biology 2023-08-22 Danqing Wang , Zeyu Wen , Fei Ye , Lei Li , Hao Zhou

Peptides are recognized for their varied self-assembly behaviors, forming a wide array of structures and geometries, such as spheres, fibers, and hydrogels, each presenting a unique set of material properties. The functionalities of these…

Biomolecules · Quantitative Biology 2025-05-15 Sarah K. Yorke , Zhenze Yang , Aviad Levin , Alice Ray , Jeremy Owusu Boamah , Tuomas P. J. Knowles , Markus J. Buehler

The design of target-specific molecules such as small molecules, peptides, and antibodies is vital for biological research and drug discovery. Existing generative methods are restricted to single-domain molecules, failing to address…

Machine Learning · Computer Science 2025-05-27 Xiangzhe Kong , Zishen Zhang , Ziting Zhang , Rui Jiao , Jianzhu Ma , Wenbing Huang , Kai Liu , Yang Liu

Target proteins that lack accessible binding pockets and conformational stability have posed increasing challenges for drug development. Induced proximity strategies, such as PROTACs and molecular glues, have thus gained attention as…

The cyclic block coordinate descent-type (CBCD-type) methods, which performs iterative updates for a few coordinates (a block) simultaneously throughout the procedure, have shown remarkable computational performance for solving strongly…

Optimization and Control · Mathematics 2017-11-23 Xingguo Li , Tuo Zhao , Raman Arora , Han Liu , Mingyi Hong

Structure-Based Drug Design (SBDD) is crucial for identifying bioactive molecules. Recent deep generative models are faced with challenges in geometric structure modeling. A major bottleneck lies in the twisted probability path of…

Biomolecules · Quantitative Biology 2025-06-06 Keyue Qiu , Yuxuan Song , Zhehuan Fan , Peidong Liu , Zhe Zhang , Mingyue Zheng , Hao Zhou , Wei-Ying Ma

Structure-based drug design has seen significant advancements with the integration of artificial intelligence (AI), particularly in the generation of hit and lead compounds. However, most AI-driven approaches neglect the importance of…

Machine Learning · Computer Science 2025-11-10 Xinheng He , Yijia Zhang , Haowei Lin , Xingang Peng , Xiangzhe Kong , Mingyu Li , Jianzhu Ma

Structure-based drug design (SBDD) is a critical task in drug discovery, requiring the generation of molecular information across two distinct modalities: discrete molecular graphs and continuous 3D coordinates. However, existing SBDD…

Computational Engineering, Finance, and Science · Computer Science 2025-03-28 Xiuyuan Hu , Guoqing Liu , Can Chen , Yang Zhao , Hao Zhang , Xue Liu

Anticancer peptides (ACPs) are a group of peptides that exhibite antineoplastic properties. The utilization of ACPs in cancer prevention can present a viable substitute for conventional cancer therapeutics, as they possess a higher degree…

Machine Learning · Computer Science 2023-09-22 Onur Karakaya , Zeynep Hilal Kilimci

Designing protein-binding proteins with high affinity is critical in biomedical research and biotechnology. Despite recent advancements targeting specific proteins, the ability to create high-affinity binders for arbitrary protein targets…

Machine Learning · Computer Science 2025-11-03 Zhenqiao Song , Tiaoxiao Li , Lei Li , Martin Renqiang Min

Structure-based and ligand-based computational drug design have traditionally relied on disjoint data sources and modeling assumptions, limiting their joint use at scale. In this work, we introduce Contrastive Geometric Learning for Unified…

Machine Learning · Computer Science 2026-02-04 Lisa Schneckenreiter , Sohvi Luukkonen , Lukas Friedrich , Daniel Kuhn , Günter Klambauer

Peptide classification tasks, such as predicting toxicity and HIV inhibition, are fundamental to bioinformatics and drug discovery. Traditional approaches rely heavily on handcrafted encodings of one-dimensional (1D) peptide sequences,…

Artificial Intelligence · Computer Science 2025-11-14 Vincent Schilling , Akshat Dubey , Georges Hattab

Generative models for structure-based molecular design hold significant promise for drug discovery, with the potential to speed up the hit-to-lead development cycle, while improving the quality of drug candidates and reducing costs. Data…

Machine Learning · Statistics 2022-04-25 Lucian Chan , Rajendra Kumar , Marcel Verdonk , Carl Poelking

We consider the task of estimating a high-dimensional directed acyclic graph, given observations from a linear structural equation model with arbitrary noise distribution. By exploiting properties of common random graphs, we develop a new…

Machine Learning · Statistics 2019-12-30 Arjun Sondhi , Ali Shojaie

In this paper, we study the possibility of designing non-trivial random CSP models by exploiting the intrinsic connection between structures and typical-case hardness. We show that constraint consistency, a notion that has been developed to…

Artificial Intelligence · Computer Science 2011-10-12 J. Culberson , Y. Gao

Antimicrobial peptides are a class of small, usually positively charged amphiphilic peptides that are used by the innate immune system to combat bacterial infection in multicellular eukaryotes. Antimicrobial peptides are known for their…

Biomolecules · Quantitative Biology 2015-06-12 Natalia P. Rodina , Anna N. Yudenko , Ivan N. Terterov , Igor E. Eliseev