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We explore the possibility for the native state of a protein being inherently a multi-conformation state in an ab initio coarse-grained model. Based on the Wang-Landau algorithm, the complete free energy landscape for the designed sequence…

Soft Condensed Matter · Physics 2015-06-03 Chun-Yu Lin , Nan-Yow Chen , Chung-Yu Mou

This paper investigates the structure-property relations of thin-walled lattices under dynamic longitudinal compression, characterized by their cross-sections and heights. These relations elucidate the interactions of different geometric…

Machine Learning · Computer Science 2022-12-22 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

Recent work explored the potential of large-scale Transformer-based pre-trained models, especially Pre-trained Language Models (PLMs) in natural language processing. This raises many concerns from various perspectives, e.g., financial costs…

Computation and Language · Computer Science 2022-05-23 Yuxin Ren , Benyou Wang , Lifeng Shang , Xin Jiang , Qun Liu

The computation of the global minimum energy conformation (GMEC) is an important and challenging topic in structure-based computational protein design. In this paper, we propose a new protein design algorithm based on the AND/OR…

Artificial Intelligence · Computer Science 2015-01-16 Yichao Zhou , Yuexin Wu , Jianyang Zeng

We investigate numerically the micromagnetic properties and the low-energy physics of an artificial square spin system in which the nanomagnets are physically connected at the lattice vertices. Micromagnetic simulations reveal that the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Yann Perrin , Benjamin Canals , Nicolas Rougemaille

A Restricted Boltzmann Machine (RBM) is an unsupervised machine-learning bipartite graphical model that jointly learns a probability distribution over data and extracts their relevant statistical features. As such, RBM were recently…

Machine Learning · Computer Science 2019-02-19 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Despite the variety of protein sizes, shapes, and backbone configurations found in nature, the design of novel protein folds remains an open problem. Within simple lattice models it has been shown that all structures are not equally…

Soft Condensed Matter · Physics 2016-08-31 J. Miller , C. Zeng , N. S. Wingreen , C. Tang

Protein structure prediction (PSP) is computationally a very challenging problem. The challenge largely comes from the fact that the energy function that needs to be minimised in order to obtain the native structure of a given protein is…

Computational Engineering, Finance, and Science · Computer Science 2013-11-18 Mahmood A. Rashid , M. A. Hakim Newton , Md. Tamjidul Hoque , Abdul Sattar

In this article the configurational space of two simple protein models consisting of polymers composed of a periodic sequence of four different kinds of monomers is studied as a function of temperature. In the protein models, hydrogen bond…

Soft Condensed Matter · Physics 2012-03-26 Hanif Bayat Movahed , Ramses van Zon , Jeremy Schofield

The HP model of protein folding, where the chain exists in a free medium, is investigated using a parallel Monte Carlo scheme based upon Wang-Landau sampling. Expanding on the work of Wust and Landau by introducing a lesser known replica…

Biomolecules · Quantitative Biology 2016-07-13 Luke Kristopher Davis

Optimum ground states are constructed in two dimensions by using so called vertex state models. These models are graphical generalizations of the well-known matrix product ground states for spin chains. On the hexagonal lattice we obtain a…

Strongly Correlated Electrons · Physics 2009-10-30 H. Niggemann , A. Klümper , J. Zittartz

A modified version of the Moller-Plesset approach for obtaining the correlation energy associated to a Hartree-Fock ground state is proposed. The method is tested in a model of interacting fermions that allows for an exact solution. Using…

Materials Science · Physics 2016-10-12 Alejandro Cabo , Francisco Claro , Eduardo Menendez-Proupin

An optimization technique is used to determine the pairwise interactions between amino acids in globular proteins. A numerical strategy is applied to a set of proteins for maximizing the native fold stability with respect to alternative…

Soft Condensed Matter · Physics 2007-05-23 Giovanni Settanni , Cristian Micheletti , Jayanth Banavar , Amos Maritan

Protein sequences are believed to have been selected to provide the stability of, and reliable renaturation to, an encoded unique spatial fold. In recently proposed theoretical schemes, this selection is modeled as ``minimal frustration,''…

Condensed Matter · Physics 2009-10-28 Vijay S. Pande , Alexander Yu. Grosberg , Toyoichi Tanaka

We study numerically the energetics and atomic mechanisms of misfit dislocation nucleation and stress relaxation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Relaxation processes from…

Materials Science · Physics 2009-11-10 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We obtain the low-lying energy-momentum spectrum for the imaginary-time lattice four-Fermi or Gross-Neveu model in $d+1$ space-time dimensions ($d=1,2,3$) and with $N$-component fermions. Let $\kappa>0$ be the hopping parameter, $\lambda>0$…

High Energy Physics - Theory · Physics 2007-05-23 Petrus H. R. dos Anjos , Paulo A. Faria da Veiga

Maximum entropy methods, rooted in the inverse Ising/Potts problem from statistical physics, are widely used to model pairwise interactions in complex systems across disciplines such as bioinformatics and neuroscience. While successful,…

Disordered Systems and Neural Networks · Physics 2025-11-14 Aurélien Decelle , Alfonso de Jesús Navas Gómez , Beatriz Seoane

Less than 1% of protein sequences are structurally and functionally annotated. Natural Language Processing (NLP) community has recently embraced self-supervised learning as a powerful approach to learn representations from unlabeled text,…

Biomolecules · Quantitative Biology 2020-12-08 Modestas Filipavicius , Matteo Manica , Joris Cadow , Maria Rodriguez Martinez

In this paper, we focus on finite Bravais lattice energies per point in two dimensions. We compute the first and second derivatives of these energies. We prove that the Hessian at the square and the triangular lattice are diagonal and we…

Mathematical Physics · Physics 2018-07-31 Laurent Bétermin

We explain how to implement, in the context of projected entangled-pair states (PEPS), the general procedure of fermionization of a tensor network introduced in [P. Corboz, G. Vidal, Phys. Rev. B 80, 165129 (2009)]. The resulting fermionic…

Strongly Correlated Electrons · Physics 2010-04-29 Philippe Corboz , Roman Orus , Bela Bauer , Guifre Vidal