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Dominant sequence models like the Transformer represent structure implicitly through dense attention weights, incurring quadratic complexity. We propose RewriteNets, a novel neural architecture built on an alternative paradigm: explicit,…

Machine Learning · Computer Science 2026-01-14 Harshil Vejendla

Ptychography is a well-studied phase imaging method that makes non-invasive imaging possible at a nanometer scale. It has developed into a mainstream technique with various applications across a range of areas such as material science or…

Image and Video Processing · Electrical Eng. & Systems 2022-08-01 Semih Barutcu , Aggelos K. Katsaggelos , Doğa Gürsoy

An assembly is a large population of neurons whose synchronous firing is hypothesized to represent a memory, concept, word, and other cognitive categories. Assemblies are believed to provide a bridge between high-level cognitive phenomena…

Neural and Evolutionary Computing · Computer Science 2022-07-05 Max Dabagia , Christos H. Papadimitriou , Santosh S. Vempala

Most genes are part of larger families of evolutionary related genes. The history of gene families typically involves duplications and losses of genes as well as horizontal transfers into other organisms. The reconstruction of detailed gene…

Populations and Evolution · Quantitative Biology 2023-04-25 Marc Hellmuth , Peter F. Stadler

The problem of RNA secondary structure design (also called inverse folding) is the following: given a target secondary structure, one aims to create a sequence that folds into, or is compatible with, a given structure. In several practical…

Quantitative Methods · Quantitative Biology 2013-08-02 Yu Zhou , Yann Ponty , Stéphane Vialette , Jérôme Waldispühl , Yi Zhang , Alain Denise

Complex systems with tightly coadapted parts frequently appear in living systems and are difficult to account for through Darwinian evolution, that is random variation and natural selection, if the constituent parts are independently coded…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 John F. McGowan , Ph. D

De novo genome assembly, i.e., rebuilding the sequence of an unknown genome from redundant and erroneous short sequences, is a key but computationally intensive step in many genomics pipelines. The exponential growth of genomic data is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-12 Giulia Guidi , Gabriel Raulet , Daniel Rokhsar , Leonid Oliker , Katherine Yelick , Aydin Buluc

We study a class of growth algorithms for directed graphs that are candidate models for the evolution of genetic regulatory networks. The algorithms involve partial duplication of nodes and their links, together with innovation of new…

Molecular Networks · Quantitative Biology 2007-05-23 D. V. Foster , S. A. Kauffman , J. E. S. Socolar

Motivation: Millions of genes in the modern species belong to only thousands of `gene families'. A gene family includes instances of the same gene in different species (orthologs) and duplicate genes in the same species (paralogs). Genes…

Populations and Evolution · Quantitative Biology 2012-05-04 Yu Zheng , Taoyang Wu , Louxin Zhang

String diagrams are a powerful and intuitive graphical syntax, originated in the study of symmetric monoidal categories. In the last few years, they have found application in the modelling of various computational structures, in fields as…

Logic in Computer Science · Computer Science 2022-02-04 Filippo Bonchi , Fabio Gadducci , Aleks Kissinger , Pawel Sobocinski , Fabio Zanasi

The \emph{state complexity} of a regular language $L_m$ is the number $m$ of states in a minimal deterministic finite automaton (DFA) accepting $L_m$. The state complexity of a regularity-preserving binary operation on regular languages is…

Formal Languages and Automata Theory · Computer Science 2018-12-13 Janusz Brzozowski , Lila Kari , Bai Li , Marek Szykuła

Graph Neural Networks (GNNs) have enjoyed wide spread applications in graph-structured data. However, existing graph based applications commonly lack annotated data. GNNs are required to learn latent patterns from a limited amount of…

Machine Learning · Computer Science 2023-03-22 Wenqi Wei , Mu Qiao , Divyesh Jadav

Research shows that gene duplication followed by either repurposing or removal of duplicated genes is an important contributor to evolution of gene and protein interaction networks. We aim to identify which characteristics of a network can…

Molecular Networks · Quantitative Biology 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

Human-Computer Interaction · Computer Science 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

Two genes are xenologs in the sense of Fitch if they are separated by at least one horizontal gene transfer event. Horizonal gene transfer is asymmetric in the sense that the transferred copy is distinguished from the one that remains…

Discrete Mathematics · Computer Science 2018-02-13 Manuela Geiß , John Anders , Peter F. Stadler , Nicolas Wieseke , Marc Hellmuth

Machine Learning methods have of late made significant efforts to solving multidisciplinary problems in the field of cancer classification using microarray gene expression data. Feature subset selection methods can play an important role in…

Computational Engineering, Finance, and Science · Computer Science 2013-03-04 G. Prat , Ll. Belanche

The pathway is a biological term that refers to a series of interactions between molecules in a cell that causes a certain product or a change in the cell. Pathway analysis is a powerful method for gene expression analysis. Through pathway…

Data Structures and Algorithms · Computer Science 2022-01-11 Lingran Xiao , Yanfei Wang , Shiying Li , Lingxi Chen , Shuaicheng Li

Genome assembly, the process of reconstructing a long genetic sequence by aligning and merging short fragments, or reads, is known to be NP-hard, either as a version of the shortest common superstring problem or in a Hamiltonian-cycle…

Statistical Mechanics · Physics 2024-03-12 L. A. Fernandez , V. Martin-Mayor , D. Yllanes

Introgression is an evolutionary process in which genes or other types of genetic material are introduced into a genome. It is an important evolutionary process that can, for example, play a fundamental role in speciation. Recently the…

Combinatorics · Mathematics 2020-06-26 K. T. Huber , V. Moulton , G. E. Scholz

In complex networks it is common for each node to belong to several communities, implying a highly overlapping community structure. Recent advances in benchmarking indicate that existing community assignment algorithms that are capable of…

Data Analysis, Statistics and Probability · Physics 2015-03-13 Conrad Lee , Fergal Reid , Aaron McDaid , Neil Hurley