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In this paper we explore different regression models based on Clusterwise Linear Regression (CLR). CLR aims to find the partition of the data into $k$ clusters, such that linear regressions fitted to each of the clusters minimize overall…

Machine Learning · Computer Science 2018-05-01 Igor Gitman , Jieshi Chen , Eric Lei , Artur Dubrawski

Machine learning is penetrating various domains virtually, thereby proliferating excellent results. It has also found an outlet in digital forensics, wherein it is becoming the prime driver of computational efficiency. A prominent feature…

Computer Vision and Pattern Recognition · Computer Science 2022-01-13 Shubham Bharadwaj

Constraint programming (CP) is a paradigm used to model and solve constraint satisfaction and combinatorial optimization problems. In CP, problems are modeled with constraints that describe acceptable solutions and solved with backtracking…

Quantum Physics · Physics 2021-09-29 Kyle E. C. Booth , Bryan O'Gorman , Jeffrey Marshall , Stuart Hadfield , Eleanor Rieffel

Protein folding is one of the age-old biological problems that refers to the mechanism of understanding and predicting how a protein's linear sequence of amino acids folds into its specific three dimensional structure.This structure is…

We demonstrate a new algorithm for finding protein conformations that minimize a non-bonded energy function. The new algorithm, called the difference map, seeks to find an atomic configuration that is simultaneously in two constraint…

Biomolecules · Quantitative Biology 2007-06-13 Ivan C. Rankenburg , Veit Elser

Segmenting an image into multiple components is a central task in computer vision. In many practical scenarios, prior knowledge about plausible components is available. Incorporating such prior knowledge into models and algorithms for image…

Computer Vision and Pattern Recognition · Computer Science 2015-09-08 Loic A. Royer , David L. Richmond , Carsten Rother , Bjoern Andres , Dagmar Kainmueller

Computational protein design has a wide variety of applications. Despite its remarkable success, designing a protein for a given structure and function is still a challenging task. On the other hand, the number of solved protein structures…

Quantitative Methods · Quantitative Biology 2018-04-26 Jingxue Wang , Huali Cao , John Z. H. Zhang , Yifei Qi

Clustering is a fundamental problem in network analysis that finds closely connected groups of nodes and separates them from other nodes in the graph, while link prediction is to predict whether two nodes in a network are likely to have a…

Social and Information Networks · Computer Science 2022-11-29 Shanfan Zhang , Wenjiao Zhang , Zhan Bu

Recently, the makespan-minimization problem of compiling a general class of quantum algorithms into near-term quantum processors has been introduced to the AI community. The research demonstrated that temporal planning is a strong approach…

Linear Programming (LP) is widely applied in industry and is a key component of various other mathematical problem-solving techniques. Recent work introduced an LP compiler translating polynomial-time, polynomial-space algorithms into…

Programming Languages · Computer Science 2025-09-17 Shermin Khosravi , David Bremner

Semidefinite programming (SDP) is a powerful tool for tackling a wide range of computationally hard problems such as clustering. Despite the high accuracy, semidefinite programs are often too slow in practice with poor scalability on large…

Machine Learning · Statistics 2022-02-10 Yubo Zhuang , Xiaohui Chen , Yun Yang

In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neural network controller and disturbances. Based on an estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

Image segmentation is usually addressed by training a model for a fixed set of object classes. Incorporating additional classes or more complex queries later is expensive as it requires re-training the model on a dataset that encompasses…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Timo Lüddecke , Alexander S. Ecker

Cryo-electron microscopy (cryo-EM) is a technique for reconstructing the 3-dimensional (3D) structure of biomolecules (especially large protein complexes and molecular assemblies). As the resolution increases to the near-atomic scale,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Weijie Chen , Xinyan Wang , Yuhang Wang

The biological function of a protein stems from its 3-dimensional structure, which is thermodynamically determined by the energetics of interatomic forces between its amino acid building blocks (the order of amino acids, known as the…

Biomolecules · Quantitative Biology 2019-05-03 Sean Mullane , Ruoyan Chen , Sri Vaishnavi Vemulapalli , Eli J. Draizen , Ke Wang , Cameron Mura , Philip E. Bourne

Computational protein design aims at constructing novel or improved functions on the structure of a given protein backbone and has important applications in the pharmaceutical and biotechnical industry. The underlying combinatorial…

Data Structures and Algorithms · Computer Science 2011-03-29 Stefan Canzar , Nora C. Toussaint , Gunnar W. Klau

Model reduction, which aims to learn a simpler model of the original mixed integer linear programming (MILP), can solve large-scale MILP problems much faster. Most existing model reduction methods are based on variable reduction, which…

Machine Learning · Computer Science 2026-02-04 Jiajun Li , Yixuan Li , Ran Hou , Yu Ding , Shisi Guan , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

Acquiring plausible pathways on high-dimensional structural distributions is beneficial in several domains. For example, in the drug discovery field, a protein conformational pathway, i.e. a highly probable sequence of protein structural…

Quantitative Methods · Quantitative Biology 2025-06-04 Ziyad Oulhaj , Yoshiyuki Ishii , Kento Ohga , Kimihiro Yamazaki , Mutsuyo Wada , Yuhei Umeda , Takashi Kato , Yuichiro Wada , Hiroaki Kurihara

We consider the problem of solving a family of parametric mixed-integer linear optimization problems where some entries in the input data change. We introduce the concept of cutting-plane layer (CPL), i.e., a differentiable cutting-plane…

Optimization and Control · Mathematics 2023-11-10 Gabriele Dragotto , Stefan Clarke , Jaime Fernández Fisac , Bartolomeo Stellato

Prediction of ligand binding sites of proteins is a fundamental and important task for understanding the function of proteins and screening potential drugs. Most existing methods require experimentally determined protein holo-structures as…

Quantitative Methods · Quantitative Biology 2023-12-07 Shuo Zhang , Lei Xie
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