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This paper proposes a polynomial-time algorithm to construct the monotone stepwise curve that minimizes the sum of squared errors with respect to a given cloud of data points. The fitted curve is also constrained on the maximum number of…

Optimization and Control · Mathematics 2021-07-01 Víctor Bucarey , Martine Labbé , Juan M. Morales , Salvador Pineda

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

Over the last 10-15 years a general understanding of the chemical reaction of protein folding has emerged from statistical mechanics. The lessons learned from protein folding kinetics based on energy landscape ideas have benefited protein…

Biomolecules · Quantitative Biology 2007-05-23 Michael C. Prentiss , Corey Hardin , Michael P. Eastwood , Chenghong Zong , Peter G. Wolynes

Recurrent neural network (RNN)'s architecture is a key factor influencing its performance. We propose algorithms to optimize hidden sizes under running time constraint. We convert the discrete optimization into a subset selection problem.…

Machine Learning · Statistics 2018-02-22 Junqi Jin , Ziang Yan , Kun Fu , Nan Jiang , Changshui Zhang

Predicting protein secondary structure is a fundamental problem in protein structure prediction. Here we present a new supervised generative stochastic network (GSN) based method to predict local secondary structure with deep hierarchical…

Quantitative Methods · Quantitative Biology 2014-03-07 Jian Zhou , Olga G. Troyanskaya

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

Conformational dynamics is crucial for ribonucleic acid (RNA) function. Techniques such as nuclear magnetic resonance, cryo-electron microscopy, small- and wide-angle X-ray scattering, chemical probing, single-molecule F\"orster resonance…

Biomolecules · Quantitative Biology 2025-01-31 Mattia Bernetti , Giovanni Bussi

Deep neural networks (DNNs) have been widely deployed across diverse domains such as computer vision and natural language processing. However, the impressive accomplishments of DNNs have been realized alongside extensive computational…

Machine Learning · Computer Science 2023-11-28 Chuangtao Chen , Grace Li Zhang , Xunzhao Yin , Cheng Zhuo , Ulf Schlichtmann , Bing Li

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

The exponentially increasing demand for data storage has been facing more and more challenges during the past years. The energy costs that it represents are also increasing, and the availability of the storage hardware is not able to follow…

Image and Video Processing · Electrical Eng. & Systems 2022-03-21 Xavier Pic , Marc Antonini

Structured pruning is an effective approach for compressing large pre-trained neural networks without significantly affecting their performance. However, most current structured pruning methods do not provide any performance guarantees, and…

Machine Learning · Computer Science 2023-02-14 Marwa El Halabi , Suraj Srinivas , Simon Lacoste-Julien

We propose an improved successive branch reduction (SBR) method to solve stochastic distribution network reconfiguration (SDNR), a mixed-integer program that is known to be computationally challenging. First, for a special distribution…

Optimization and Control · Mathematics 2022-06-02 Wanjun Huang , Changhong Zhao

The prevalent method for RNA secondary structure prediction for a single sequence is free energy minimization based on the nearest neighbor thermodynamic model (NNTM). One of the least well-developed parts of the model is the energy…

Biomolecules · Quantitative Biology 2017-08-21 Fidel Barrera-Cruz , Christine Heitsch , Svetlana Poznanović

In past work (Onokpasa, Wild, Wong, DCC 2023), we showed that (a) for joint compression of RNA sequence and structure, stochastic context-free grammars are the best known compressors and (b) that grammars which have better compression…

Data Structures and Algorithms · Computer Science 2024-01-31 Evarista Onokpasa , Sebastian Wild , Prudence W. H. Wong

The network inference problem arises in biological research when one needs to quantitatively choose the best protein-interaction model for explaining a phenotype. The diverse nature of the data and nonlinear dynamics pose significant…

Molecular Networks · Quantitative Biology 2025-12-22 Guy Karlebach

Messenger RNA (mRNA) vaccines are being used for COVID-19, but still suffer from the critical issue of mRNA instability and degradation, which is a major obstacle in the storage, distribution, and efficacy of the vaccine. Previous work…

A lattice model of RNA denaturation which fully accounts for the excluded volume effects among nucleotides is proposed. A numerical study shows that interactions forming pseudoknots must be included in order to get a sharp continuous…

Soft Condensed Matter · Physics 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

In this paper we formulate an optimization approach to schedule electrical loads given a short term prediction of time-varying power production and the ability to store only a limited amount of electrical energy. The proposed approach is…

Optimization and Control · Mathematics 2016-11-15 Raymond A. de Callafon , Abdulelah H. Habib , Jan Kleissl

In this paper, we propose two simple yet efficient computational algorithms to obtain approximate optimal designs for multi-dimensional linear regression on a large variety of design spaces. We focus on the two commonly used optimal…

Statistics Theory · Mathematics 2021-02-26 Jiangtao Duan , Wei Gao , Yanyuan Ma , Hon Keung Tony Ng

Accurate prediction of RNA properties, such as stability and interactions, is crucial for advancing our understanding of biological processes and developing RNA-based therapeutics. RNA structures can be represented as 1D sequences, 2D…

Quantitative Methods · Quantitative Biology 2025-04-22 Junjie Xu , Artem Moskalev , Tommaso Mansi , Mangal Prakash , Rui Liao