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The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

Many modern biological assays, including RNA sequencing, yield integer-valued counts that reflect the number of molecules detected. These measurements are often not at the desired resolution: while the unit of interest is typically a single…

Machine Learning · Computer Science 2026-03-06 Nic Fishman , Gokul Gowri , Tanush Kumar , Jiaqi Lu , Valentin de Bortoli , Jonathan S. Gootenberg , Omar Abudayyeh

Sampling from learned high-dimensional distributions is a foundational computational problem. We introduce U-turn chains: Markov chains obtained by iterating short forward-backward steps of a diffusion model, in which each step proposes a…

Machine Learning · Computer Science 2026-05-27 Hyunmo Kang , Noam Itzhak Levi , Corinna Elena Wegner , Daniel J. Korchinski , Matthieu Wyart

Materials process optimization requires reasoning over routes, conditions, tools and causal dependencies, yet most computational formulations flatten synthesis procedures into text or ordered steps. We introduce MatProcBench, a…

Artificial Intelligence · Computer Science 2026-05-28 Yiming Zhang , Ryo Tamura , Koji Tsuda

We have developed an end-to-end, retrosynthesis system, named ChemiRise, that can propose complete retrosynthesis routes for organic compounds rapidly and reliably. The system was trained on a processed patent database of over 3 million…

Chemical Physics · Physics 2021-08-11 Xiangyan Sun , Ke Liu , Yuquan Lin , Lingjie Wu , Haoming Xing , Minghong Gao , Ji Liu , Suocheng Tan , Zekun Ni , Qi Han , Junqiu Wu , Jie Fan

Progress in computer-aided synthesis planning (CASP) is obscured by the lack of standardized evaluation infrastructure and the reliance on metrics that prioritize topological completion over chemical validity. We introduce RetroCast, a…

Machine Learning · Computer Science 2025-12-09 Anton Morgunov , Victor S. Batista

Phase retrieval is a nonlinear inverse problem that arises in a wide range of imaging modalities, from electron microscopy to Fourier ptychography. In particular, the reconstruction is facilitated when the sensing matrix is i.i.d. random,…

AI-based molecule generation provides a promising approach to a large area of biomedical sciences and engineering, such as antibody design, hydrolase engineering, or vaccine development. Because the molecules are governed by physical laws,…

Machine Learning · Computer Science 2022-09-05 Lemeng Wu , Chengyue Gong , Xingchao Liu , Mao Ye , Qiang Liu

Template based single step retrosynthesis predicts reactants by selecting and applying an explicit reaction template, making each prediction traceable to a chemical transformation rule. This is useful for synthesis planning, but template…

Machine Learning · Computer Science 2026-05-14 Mohammad Jahid Ibna Basher , Ali Khodabandeh Yalabadi , Ivan Garibay , Ozlem Ozmen Garibay

Accurate prediction of protein-ligand binding structures, a task known as molecular docking is crucial for drug design but remains challenging. While deep learning has shown promise, existing methods often depend on holo-protein structures…

Biomolecules · Quantitative Biology 2024-02-22 Yufei Huang , Odin Zhang , Lirong Wu , Cheng Tan , Haitao Lin , Zhangyang Gao , Siyuan Li , Stan. Z. Li

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

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

Generative modeling of peptide sequences requires navigating a discrete and highly constrained space in which many intermediate states are chemically implausible or unstable. Existing discrete diffusion and flow-based methods rely on…

Biomolecules · Quantitative Biology 2026-02-02 Shrey Goel , Pranam Chatterjee

The paper studies an improved estimate for the rate of convergence for nonlinear homogeneous discrete-time Markov chains. These processes are nonlinear in terms of the distribution law. Hence, the transition kernels are dependent on the…

Probability · Mathematics 2021-05-21 Aleksandr Shchegolev

Generating new molecules with specified chemical and biological properties via generative models has emerged as a promising direction for drug discovery. However, existing methods require extensive training/fine-tuning with a large dataset,…

Quantitative Methods · Quantitative Biology 2023-04-25 Zichao Wang , Weili Nie , Zhuoran Qiao , Chaowei Xiao , Richard Baraniuk , Anima Anandkumar

Learning complex distributions is a fundamental challenge in contemporary applications. Shen and Meinshausen (2024) introduced engression, a generative approach based on scoring rules that maps noise (and covariates, if available) directly…

Machine Learning · Computer Science 2025-08-19 Xinwei Shen , Nicolai Meinshausen , Tong Zhang

This paper considers the permissive supervisor synthesis for probabilistic systems modeled as Markov Decision Processes (MDP). Such systems are prevalent in power grids, transportation networks, communication networks and robotics. Unlike…

Logic in Computer Science · Computer Science 2017-03-23 Bo Wu , Xiaobin Zhang , Hai Lin

Small molecules exhibiting desirable property profiles are often discovered through an iterative process of designing, synthesizing, and testing sets of molecules. The selection of molecules to synthesize from all possible candidates is a…

Quantitative Methods · Quantitative Biology 2024-05-29 Jenna C. Fromer , Connor W. Coley

Deep learning is regarded as a promising solution for reversible steganography. There is an accelerating trend of representing a reversible steo-system by monolithic neural networks, which bypass intermediate operations in traditional…

Multimedia · Computer Science 2023-03-08 Ching-Chun Chang , Xu Wang , Sisheng Chen , Isao Echizen , Victor Sanchez , Chang-Tsun Li

Most successful applications of deep learning involve similar training and test conditions. However, tasks such as biological sequence design involve searching for sequences that improve desirable properties beyond previously known values,…

Machine Learning · Computer Science 2025-05-27 Sophia Hager , Aleem Khan , Andrew Wang , Nicholas Andrews
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