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Simulations of knotting and unknotting in polymers or other filaments rely on random processes to facilitate topological changes. Here we introduce a method of \textit{topological steering} to determine the optimal pathway by which a…

Geometric Topology · Mathematics 2025-04-18 Agnese Barbensi , Alexander R. Klotz , Dimos Gkountaroulis

Using an off-lattice model, we fully enumerate folded conformations of polypeptide chains of up to N = 19 monomers. Structures are found to differ markedly in designability, defined as the number of sequences with that structure as a unique…

Soft Condensed Matter · Physics 2007-05-23 Eldon G. Emberly , Jonathan Miller , Chen Zeng , Ned S. Wingreen , Chao Tang

In this paper, we investigate the geometric phase (GP) acquired by two-mode mixed squeezed-coherent states (SCSs) during unitary cyclic evolution, focusing on the influence of squeezing parameters and classical weight. We analyze the GP for…

Quantum Physics · Physics 2024-10-22 Sanaz Mohammadi Almas , Ghader Najarbashi

Generating novel graph structures that optimize given objectives while obeying some given underlying rules is fundamental for chemistry, biology and social science research. This is especially important in the task of molecular graph…

Machine Learning · Computer Science 2019-02-26 Jiaxuan You , Bowen Liu , Rex Ying , Vijay Pande , Jure Leskovec

Few-shot learning is a promising approach to molecular property prediction as supervised data is often very limited. However, many important molecular properties depend on complex molecular characteristics -- such as the various 3D…

Machine Learning · Computer Science 2023-10-10 Christopher Fifty , Joseph M. Paggi , Ehsan Amid , Jure Leskovec , Ron Dror

Generating medical reports for X-ray images presents a significant challenge, particularly in unpaired scenarios where access to paired image-report data for training is unavailable. Previous works have typically learned a joint embedding…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Elad Hirsch , Gefen Dawidowicz , Ayellet Tal

Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes.…

Mathematical Software · Computer Science 2024-01-30 Ketan Mittal , Veselin A. Dobrev , Patrick Knupp , Tzanio Kolev , Franck Ledoux , Claire Roche , Vladimir Z. Tomov

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

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…

The key finding in the DNA double helix model is the specific pairing or binding between nucleotides A-T and C-G, and the pairing rules are the molecule basis of genetic code. Unfortunately, no such rules have been discovered for proteins.…

Biomolecules · Quantitative Biology 2017-02-28 Yuhong Wang , Junzhou Huang , Wei Li , Sheng Wang , Chuanfan Ding

Zero-shot learning (ZSL) enables solving a task without the need to see its examples. In this paper, we propose two ZSL frameworks that learn to synthesize parameters for novel unseen classes. First, we propose to cast the problem of ZSL as…

Computer Vision and Pattern Recognition · Computer Science 2019-07-19 Soravit Changpinyo , Wei-Lun Chao , Boqing Gong , Fei Sha

Searching new molecules in areas like drug discovery often starts from the core structures of candidate molecules to optimize the properties of interest. The way as such has called for a strategy of designing molecules retaining a…

Machine Learning · Computer Science 2020-09-03 Jaechang Lim , Sang-Yeon Hwang , Seungsu Kim , Seokhyun Moon , Woo Youn Kim

Score-based generative models (SGMs) have proven to be powerful tools for designing new proteins. Designing proteins that bind a pre-specified target is highly relevant to a range of medical and industrial applications. Despite the flurry…

Biomolecules · Quantitative Biology 2024-09-30 John D Boom , Matthew Greenig , Pietro Sormanni , Pietro Liò

This paper proposes a penalized composite likelihood method for model selection in colored graphical Gaussian models. The method provides a sparse and symmetry-constrained estimator of the precision matrix, and thus conducts model selection…

Methodology · Statistics 2020-04-06 Qiong Li , Xiaoying Sun , Nanwei Wang

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

This work develops a symmetry-based framework for formation control on cycle graphs using Dihedral point-group constraints. We show that enforcing inter-agent reflection symmetries, together with anchoring a single designated agent to its…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Zamir Martinez , Daniel Zelazo

Certain sequences of peptoid polymers (synthetic analogs of peptides) assemble into bilayer nanosheets via a nonequilibrium assembly pathway of adsorption, compression, and collapse at an air-water interface. As with other large-scale…

Biological Physics · Physics 2014-10-01 Thomas K. Haxton , Ranjan V. Mannige , Ronald N. Zuckermann , Stephen Whitelam

Recent advancements in machine learning techniques for protein folding motivate better results in its inverse problem -- protein design. In this work we introduce a new graph mimetic neural network, MimNet, and show that it is possible to…

Biomolecules · Quantitative Biology 2021-02-09 Moshe Eliasof , Tue Boesen , Eldad Haber , Chen Keasar , Eran Treister

In this paper, we propose new coupled codes constructed by overlapping circular spatially-coupled low-density parity-check (SC-LDPC) codes, which show better asymptotic and finite-length decoding performance compared to the conventional…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Bohwan Jun , Pilwoong Yang , Jong-Seon No , Dong-Joon Shin

Cyclic molecules are ubiquitous across applications in chemistry and biology. Their restricted conformational flexibility provides structural pre-organization that is key to their function in drug discovery and catalysis. However, reliably…

Machine Learning · Computer Science 2026-01-21 Luca Schaufelberger , Aline Hartgers , Kjell Jorner