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Branch-and-Bound (B\&B) is an exact method in integer programming that recursively divides the search space into a tree. During the resolution process, determining the next subproblem to explore within the tree-known as the search…

Machine Learning · Computer Science 2024-12-18 Gwen Maudet , Grégoire Danoy

We propose an energy-based model (EBM) of protein conformations that operates at atomic scale. The model is trained solely on crystallized protein data. By contrast, existing approaches for scoring conformations use energy functions that…

Machine Learning · Computer Science 2020-04-29 Yilun Du , Joshua Meier , Jerry Ma , Rob Fergus , Alexander Rives

Protein structure prediction based on Hydrophobic-Polar energy model essentially becomes searching for a conformation having a compact hydrophobic core at the center. The hydrophobic core minimizes the interaction energy between the amino…

Computational Engineering, Finance, and Science · Computer Science 2013-11-01 Swakkhar Shatabda , M. A. Hakim Newton , Duc Nghia Pham , Abdul Sattar

Previous work has shown that the problem of learning the optimal structure of a Bayesian network can be formulated as a shortest path finding problem in a graph and solved using A* search. In this paper, we improve the scalability of this…

Artificial Intelligence · Computer Science 2012-02-20 Brandon Malone , Changhe Yuan , Eric A. Hansen , Susan Bridges

Many proteins carry out their biological functions by forming the characteristic tertiary structures. Therefore, the search of the stable states of proteins by molecular simulations is important to understand their functions and…

Biomolecules · Quantitative Biology 2015-05-22 Yoshitake Sakae , Tomoyuki Hiroyasu , Mitsunori Miki , Katsuya Ishii , Yuko Okamoto

In this paper, we consider the computational protein design (CPD) problem, which is usually modeled as a 0/1 programming and is extremely challenging due to its combinatorial properties. We propose an efficient algorithm for solving it.…

Optimization and Control · Mathematics 2024-12-30 Yukai Zheng , Weikun Chen , Qingna Li

This paper develops a measure for bounding the performance of AND/OR search algorithms for solving a variety of queries over graphical models. We show how drawing a connection to the recent notion of hypertree decompositions allows to…

Artificial Intelligence · Computer Science 2012-06-18 Lars Otten , Rina Dechter

This paper presents a novel Differential Evolution algorithm for protein folding optimization that is applied to a three-dimensional AB off-lattice model. The proposed algorithm includes two new mechanisms. A local search is used to improve…

Artificial Intelligence · Computer Science 2018-05-08 Borko Bošković , Janez Brest

Computational protein design is experiencing a transformation driven by AI/ML. However, the range of potential protein sequences and structures is astronomically vast, even for moderately sized proteins. Hence, achieving convergence between…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-09 Aymen Alsaadi , Jonathan Ash , Mikhail Titov , Matteo Turilli , Andre Merzky , Shantenu Jha , Sagar Khare

A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

A method to search for local structural similarities in proteins at atomic resolution is presented. It is demonstrated that a huge amount of structural data can be handled within a reasonable CPU time by using a conventional relational…

Biomolecules · Quantitative Biology 2007-12-28 Akira R. Kinjo , Haruki Nakamura

Preliminary trajectory design is a global search problem that seeks multiple qualitatively different solutions to a trajectory optimization problem. Due to its high dimensionality and non-convexity, and the frequent adjustment of problem…

Machine Learning · Computer Science 2023-08-09 Anjian Li , Amlan Sinha , Ryne Beeson

This paper proposes small tree-width graph decomposition computational protein design CFN instances defined according to the model [1] with protocol defined by Simononcini et al [2] . The proteins used in the benchmark have been selected in…

Computational Engineering, Finance, and Science · Computer Science 2019-09-05 David Allouche

The branch-and-bound algorithm based on decision diagrams introduced by Bergman et al. in 2016 is a framework for solving discrete optimization problems with a dynamic programming formulation. It works by compiling a series of bounded-width…

Data Structures and Algorithms · Computer Science 2024-01-19 Vianney Coppé , Xavier Gillard , Pierre Schaus

Computational protein design (CPD) refers to the use of computational methods to design proteins. Traditional methods relying on energy functions and heuristic algorithms for sequence design are inefficient and do not meet the demands of…

Machine Learning · Computer Science 2024-10-30 Xiaoqi Ling , Cheng Cai , Demin Kong , Zhisheng Wei , Jing Wu , Lei Wang , Zhaohong Deng

Protein structure prediction is considered as one of the most challenging and computationally intractable combinatorial problem. Thus, the efficient modeling of convoluted search space, the clever use of energy functions, and more…

Neural and Evolutionary Computing · Computer Science 2016-07-22 Mahmood A. Rashid , Sumaiya Iqbal , Firas Khatib , Md Tamjidul Hoque , Abdul Sattar

Numerous applications require algorithms that can align partially overlapping point sets while maintaining invariance to geometric transformations (e.g., similarity, affine, rigid). This paper introduces a novel global optimization method…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Wei Lian , Zhesen Cui , Fei Ma , Hang Pan , Wangmeng Zuo , Jianmei Zhang

Electromagnetismlike Optimization (EMO) is a global optimization algorithm, particularly well suited to solve problems featuring nonlinear and multimodal cost functions. EMO employs searcher agents that emulate a population of charged…

Artificial Intelligence · Computer Science 2014-05-21 Erik Cuevas , Diego Oliva , Daniel Zaldivar , Marco Perez , Gonzalo Pajares

The paper evaluates the power of best-first search over AND/OR search spaces for solving the Most Probable Explanation (MPE) task in Bayesian networks. The main virtue of the AND/OR representation of the search space is its sensitivity to…

Artificial Intelligence · Computer Science 2012-06-26 Radu Marinescu , Rina Dechter

The design of novel protein sequences with targeted functionalities underpins a central theme in protein engineering, impacting diverse fields such as drug discovery and enzymatic engineering. However, navigating this vast combinatorial…

Biomolecules · Quantitative Biology 2024-02-19 Yiheng Zhu , Zitai Kong , Jialu Wu , Weize Liu , Yuqiang Han , Mingze Yin , Hongxia Xu , Chang-Yu Hsieh , Tingjun Hou