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A central problem in data analysis is the low dimensional representation of high dimensional data, and the concise description of its underlying geometry and density. In the analysis of large scale simulations of complex dynamical systems,…

Numerical Analysis · Mathematics 2007-05-23 Boaz Nadler , Stephane Lafon , Ronald R. Coifman , Ioannis G. Kevrekidis

In a developing embryo, information about the position of cells is encoded in the concentrations of "morphogen" molecules. In the fruit fly, the local concentrations of just a handful of proteins encoded by the gap genes are sufficient to…

Molecular Networks · Quantitative Biology 2025-02-13 Lauren McGough , Helena Casademunt , Miloš Nikolić , Mariela D. Petkova , Thomas Gregor , William Bialek

This paper addresses the problem of unsupervised clustering which remains one of the most fundamental challenges in machine learning and artificial intelligence. We propose the clustered generator model for clustering which contains both…

Machine Learning · Statistics 2019-11-20 Dandan Zhu , Tian Han , Linqi Zhou , Xiaokang Yang , Ying Nian Wu

Federated learning (FL) facilitates a privacy-preserving neural network training paradigm through collaboration between edge clients and a central server. One significant challenge is that the distributed data is not independently and…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Yu Qiao , Huy Q. Le , Mengchun Zhang , Apurba Adhikary , Chaoning Zhang , Choong Seon Hong

Text-to-image generation models suffer from alignment problems, where generated images fail to accurately capture the objects and relations in the text prompt. Prior work has focused on improving alignment by refining the diffusion process,…

Computation and Language · Computer Science 2026-04-20 Guy Kaplan , Michael Toker , Yuval Reif , Yonatan Belinkov , Roy Schwartz

Graph clustering is a fundamental and challenging learning task, which is conventionally approached by grouping similar vertices based on edge structure and feature similarity.In contrast to previous methods, in this paper, we investigate…

Machine Learning · Computer Science 2024-08-13 Zhixuan Duan , Zuo Wang , Fanghui Bi

While measurement advances now allow extensive surveys of gene activity (large numbers of genes across many samples), interpretation of these data is often confounded by noise -- expression counts can differ strongly across samples due to…

Simultaneous recordings from N electrodes generate N-dimensional time series that call for efficient representations to expose relevant aspects of the underlying dynamics. Binning the time series defines neural activity vectors that…

Neurons and Cognition · Quantitative Biology 2017-07-05 Gabriel Baglietto , Guido Gigante , Paolo Del Giudice

Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by…

Neurons and Cognition · Quantitative Biology 2022-05-17 Ivan Y. Tyukin , Alexander N. Gorban , Carlos Calvo , Julia Makarova , Valeri A. Makarov

Computational topologists recently developed a method, called persistent homology to analyze data presented in terms of similarity or dissimilarity. Indeed, persistent homology studies the evolution of topological features in terms of a…

Quantitative Methods · Quantitative Biology 2017-08-01 Pavel Petrov , Stephen T Rush , Zhichun Zhai , Christine H Lee , Peter T Kim , Giseon Heo

A qualitative model is presented, suggesting gravitational information is transduced into biological systems primarily by its effect on spatially organised membrane and cytoplasmic flows. Continuous low affinity interactions between…

Biological Physics · Physics 2007-05-23 Juanita Lofthouse

Recent molecular communication (MC) research has integrated more detailed computational models to capture the dynamics of practical biophysical systems. This research focuses on developing realistic models for MC transceivers inspired by…

The largest collection of medical evidence in the world is PubMed. However, the significant barrier in accessing and extracting information is information organization. A factor that contributes towards this barrier is managing medical…

Information Retrieval · Computer Science 2018-09-07 Michael Segundo Ortiz , Sam Bubnovich , Mengqian Wang , Kazuhiro Seki Ph. D. , Javed Mostafa Ph. D

Tumours develop in an evolutionary process, in which the accumulation of mutations produces subpopulations of cells with distinct mutational profiles, called clones. This process leads to the genetic heterogeneity widely observed in tumour…

Applications · Statistics 2017-02-07 Francesco Marass , Florent Mouliere , Ke Yuan , Nitzan Rosenfeld , Florian Markowetz

Transcription factors (TFs) regulate gene expression by binding to specific genomic loci determined by DNA sequence. Their sequence specificity is commonly summarized by a consensus binding motif. However, eukaryotic genomes contain…

Neural network-based clustering has recently gained popularity, and in particular a constrained clustering formulation has been proposed to perform transfer learning and image category discovery using deep learning. The core idea is to…

Computer Vision and Pattern Recognition · Computer Science 2018-06-29 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

With advances in neural recording techniques, neuroscientists are now able to record the spiking activity of many hundreds of neurons simultaneously, and new statistical methods are needed to understand the structure of this large-scale…

Neurons and Cognition · Quantitative Biology 2023-03-03 Ganchao Wei , Ian H. Stevenson , Xiaojing Wang

Specialised transformers-based models (such as BioBERT and BioMegatron) are adapted for the biomedical domain based on publicly available biomedical corpora. As such, they have the potential to encode large-scale biological knowledge. We…

Computation and Language · Computer Science 2022-12-22 Oskar Wysocki , Zili Zhou , Paul O'Regan , Deborah Ferreira , Magdalena Wysocka , Dónal Landers , André Freitas

The hippocampus supports spatial navigation by encoding cognitive maps through collective place cell activity. We model the place cell population as non-negative spatial embeddings derived from the spectral decomposition of multi-step…

Neurons and Cognition · Quantitative Biology 2025-10-28 Minglu Zhao , Dehong Xu , Deqian Kong , Wen-Hao Zhang , Ying Nian Wu

Motivation: Spatial pattern formation of the primary anterior-posterior morphogenetic gradient of the transcription factor Bicoid (Bcd) has been studied experimentally and computationally for many years. Bcd specifies positional information…

Quantitative Methods · Quantitative Biology 2019-06-27 Theodore Alexandrov , Nina Golyandina , David Holloway , Alex Shlemov , Alexander Spirov