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In extreme classification problems, learning algorithms are required to map instances to labels from an extremely large label set. We build on a recent extreme classification framework with logarithmic time and space, and on a general…

Machine Learning · Computer Science 2018-12-13 Itay Evron , Edward Moroshko , Koby Crammer

A behavior of extreme networks under deformations of their boundary sets is investigated. It is shown that analyticity of a deformation of boundary set guarantees preservation of the networks types for minimal spanning trees, minimal…

Differential Geometry · Mathematics 2015-06-24 Alexander Ivanov , Alexey Tuzhilin

Background: Gene regulatory networks coordinate the expression of genes across physiological states and ensure a synchronized expression of genes in cellular subsystems, critical for the coherent functioning of cells. Here we address the…

Molecular Networks · Quantitative Biology 2021-07-28 Ian Leifer , Mishael Sánchez-Pérez , Cecilia Ishida , Hernán A. Makse

Many machine learning models have been proposed to classify phenotypes from gene expression data. In addition to their good performance, these models can potentially provide some understanding of phenotypes by extracting explanations for…

Genomics · Quantitative Biology 2024-02-05 Myriam Bontonou , Anaïs Haget , Maria Boulougouri , Benjamin Audit , Pierre Borgnat , Jean-Michel Arbona

We present a novel, parameter-efficient and practical fully convolutional neural network architecture, termed InfiNet, aimed at voxel-wise semantic segmentation of infant brain MRI images at iso-intense stage, which can be easily extended…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Shubham Kumar , Sailesh Conjeti , Abhijit Guha Roy , Christian Wachinger , Nassir Navab

We consider a system in which an information source generates independent and identically distributed status update packets from an observed phenomenon that takes $n$ possible values based on a given pmf. These update packets are encoded at…

Information Theory · Computer Science 2020-01-28 Melih Bastopcu , Baturalp Buyukates , Sennur Ulukus

Vocabulary learning by children can be characterized by many biases. When encountering a new word, children as well as adults, are biased towards assuming that it means something totally different from the words that they already know. To…

Computation and Language · Computer Science 2017-02-09 Ramon Ferrer-i-Cancho

Data on the number of Open Reading Frames (ORFs) coded by genomes from the 3 domains of Life show some notable general features including essential differences between the Prokaryotes and Eukaryotes, with the number of ORFs growing linearly…

Genomics · Quantitative Biology 2012-05-31 James L. Friar , Terrance Goldman , Juan Pérez-Mercader

Predicting genetic perturbations enables the identification of potentially crucial genes prior to wet-lab experiments, significantly improving overall experimental efficiency. Since genes are the foundation of cellular life, building gene…

Quantitative Methods · Quantitative Biology 2025-05-09 Changxi Chi , Jun Xia , Jingbo Zhou , Jiabei Cheng , Chang Yu , Stan Z. Li

Amplify and forward (AF) relaying is a viable strategy to extend the coverage of sub-terahertz (sub-THz) links, but inevitably propagates noise, leading to cumulative degradation across multiple hops. At the receiver, optimal decoding is…

Information Theory · Computer Science 2026-01-06 Ozgur Ercetin , Mohaned Chraiti

The free energy of the Random Energy Model at the transition point between ferromagnetic and spin glass phases is calculated. At this point, equivalent to the decoding error threshold in optimal codes, free energy has finite size…

Statistical Mechanics · Physics 2009-11-10 David B. Saakian

We propose a general framework for decoding quantum error-correcting codes with generative modeling. The model utilizes autoregressive neural networks, specifically Transformers, to learn the joint probability of logical operators and…

Quantum Physics · Physics 2023-07-19 Hanyan Cao , Feng Pan , Yijia Wang , Pan Zhang

Learning disentangled representation from any unlabelled data is a non-trivial problem. In this paper we propose Information Maximising Autoencoder (InfoAE) where the encoder learns powerful disentangled representation through maximizing…

Machine Learning · Computer Science 2019-04-19 Kazi Nazmul Haque , Siddique Latif , Rajib Rana

Embryonic development is driven by spatial patterns of gene expression that determine the fate of each cell in the embryo. While gene expression is often highly erratic, embryonic development is usually exceedingly precise. In particular,…

Molecular Networks · Quantitative Biology 2015-06-11 Thomas R. Sokolowski , Thorsten Erdmann , Pieter Rein ten Wolde

Combining Generative Adversarial Networks (GANs) with encoders that learn to encode data points has shown promising results in learning data representations in an unsupervised way. We propose a framework that combines an encoder and a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-08 Tobias Hinz , Stefan Wermter

In several network problems the optimum behavior of the agents (i.e., the nodes of the network) is not known before deployment. Furthermore, the agents might be required to adapt, i.e. change their behavior based on the environment…

Neural and Evolutionary Computing · Computer Science 2020-12-22 Anil Yaman , Giovanni Iacca

Surface codes exploit topological protection to increase error resilience in quantum computing devices and can in principle be implemented in existing hardware. They are one of the most promising candidates for active error correction, not…

Quantum Physics · Physics 2016-09-22 Bettina Heim , Krysta M. Svore , Matthew B. Hastings

Tandem duplication is the process of inserting a copy of a segment of DNA adjacent to the original position. Motivated by applications that store data in living organisms, Jain et al. (2017) proposed the study of codes that correct tandem…

Information Theory · Computer Science 2018-01-09 Yeow Meng Chee , Johan Chrisnata , Han Mao Kiah , Tuan Thanh Nguyen

The structure of a genetic network is uncovered by studying its response to external stimuli (input signals). We present a theory of propagation of an input signal through a linear stochastic genetic network. It is found that there are…

Molecular Networks · Quantitative Biology 2009-11-11 Ovidiu Lipan , Wing H. Wong

Error and erasure exponents for the broadcast channel with degraded message sets are analyzed. The focus of our error probability analysis is on the main receiver where, nominally, both messages are to be decoded. A two-step decoding…

Information Theory · Computer Science 2015-01-28 Vincent Y. F. Tan