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This paper presents new lower and upper bounds for the optimal compression of binary prefix codes in terms of the most probable input symbol, where compression efficiency is determined by the nonlinear codeword length objective of…

Information Theory · Computer Science 2008-09-09 Michael Baer

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

Protein function depends on both protein structure and amino acid (aa) sequence. Here we show that modular features of both structure and function can be quantified from the aa sequences alone for the small (40,42 aa) plaque-forming amyloid…

Biomolecules · Quantitative Biology 2014-03-06 J. C. Phillips

This paper studies the Binary Neural Networks (BNNs) in which weights and activations are both binarized into 1-bit values, thus greatly reducing the memory usage and computational complexity. Since the modern deep neural networks are of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Zhijun Tu , Xinghao Chen , Pengju Ren , Yunhe Wang

This paper presents a two-phase protein folding optimization on a three-dimensional AB off-lattice model. The first phase is responsible for forming conformations with a good hydrophobic core or a set of compact hydrophobic amino acid…

Neural and Evolutionary Computing · Computer Science 2020-06-30 Borko Bošković , Janez Brest

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learnt how to extract this information so as to predict the detailed, biological active, three-dimensional structure of…

Condensed Matter · Physics 2007-05-23 R. A. Broglia , G. Tiana

We present A-CODE, a fully atomic unified one-stage protein co-design model that simultaneously refines discrete atom types and continuous atom coordinates. Unlike predominant two-stage methods that cascade structure design with amino…

Quantitative Methods · Quantitative Biology 2026-05-06 Chaoran Cheng , Jiaqi Guan , Milong Ren , Chengyue Gong , Cong Liu , Xinshi Chen , Ge Liu , Wenzhi Xiao

In applications with significant class imbalance or asymmetric costs, metrics such as the $F_\beta$-measure, AM measure, Jaccard similarity coefficient, and weighted accuracy offer more suitable evaluation criteria than standard binary…

Machine Learning · Computer Science 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

BACKGROUND: One of the most evident achievements of bioinformatics is the development of methods that transfer biological knowledge from characterised proteins to uncharacterised sequences. This mode of protein function assignment is mostly…

Quantitative Methods · Quantitative Biology 2007-09-28 Emmanuel D. Levy , Christos A. Ouzounis , Walter R. Gilks , Benjamin Audit

This paper tackles the task of storing a large collection of vectors, such as visual descriptors, and of searching in it. To this end, we propose to approximate database vectors by constrained sparse coding, where possible atom weights are…

Computer Vision and Pattern Recognition · Computer Science 2016-08-12 Himalaya Jain , Patrick Pérez , Rémi Gribonval , Joaquin Zepeda , Hervé Jégou

Answer set programming (ASP) is a paradigm for modeling knowledge intensive domains and solving challenging reasoning problems. In ASP solving, a typical strategy is to preprocess problem instances by rewriting complex rules into simpler…

Logic in Computer Science · Computer Science 2020-11-09 Jori Bomanson , Tomi Janhunen

How to effectively approximate real-valued parameters with binary codes plays a central role in neural network binarization. In this work, we reveal an important fact that binarizing different layers has a widely-varied effect on the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Lixue Zhuang , Yi Xu , Bingbing Ni , Hongteng Xu

I review and expand the model of quantum associative memory that I have recently proposed. In this model binary patterns of n bits are stored in the quantum superposition of the appropriate subset of the computational basis of n qbits.…

Quantum Physics · Physics 2007-05-23 Carlo A. Trugenberger

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

How robust is the natural genetic code with respect to mistranslation errors? It has long been known that the genetic code is very efficient in limiting the effect of point mutation. A misread codon will commonly code either for the same…

Biological Physics · Physics 2009-11-03 Dimitri Gilis , Serge Massar , Nicolas Cerf , Marianne Rooman

The structure of data organization is widely recognized as having a substantial influence on the efficacy of machine learning algorithms, particularly in binary classification tasks. Our research provides a theoretical framework suggesting…

Machine Learning · Computer Science 2024-07-15 Fei Jing , Zi-Ke Zhang , Yi-Cheng Zhang , Qingpeng Zhang

We introduce two notions of discrepancy between binary vectors, which are not metric functions in general but nonetheless capture the mathematical structure of the binary asymmetric channel. In turn, these lead to two new fundamental…

Information Theory · Computer Science 2022-01-19 Giuseppe Cotardo , Alberto Ravagnani

Matrix factorization is a key tool in data analysis; its applications include recommender systems, correlation analysis, signal processing, among others. Binary matrices are a particular case which has received significant attention for…

Machine Learning · Statistics 2019-01-30 Ignacio Ramirez

As a popular form of knowledge and experience, patterns and their identification have been critical tasks in most data mining applications. However, as far as we are aware, no study has systematically examined the dynamics of pattern values…

Optimization and Control · Mathematics 2024-09-10 Huayan Zhang , Ruibin Bai , Tie-Yan Liu , Jiawei Li , Bingchen Lin , Jianfeng Ren

In this work it is shown that 20 canonical amino acids (AAs) within genetic code appear to be a whole system with strict AAs positions; more exactly, with AAs ordinal number in three variants; first variant 00-19, second 00-21 and third…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Zvonimir M. Damjanovic , Miloje M. Rakocevic
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