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Deciphering how genes interpret information from the concentration of transcription factors (TFs) within the cell nucleus remains a fundamental question in gene regulation. Recent advancements have unveiled the heterogeneous distribution of…

Biological Physics · Physics 2024-11-07 Rahul Munshi , Jia Ling , Sergey Ryabichko , Eric F Wieschaus , Thomas Gregor

Diffusion models are capable of impressive feats of image generation with uncommon juxtapositions such as astronauts riding horses on the moon with properly placed shadows. These outputs indicate the ability to perform compositional…

Machine Learning · Computer Science 2024-05-01 Qiyao Liang , Ziming Liu , Ila Fiete

During embryonic development, differentiating cells respond via gene expression to positional cues from morphogen gradients. While gene expression is often highly erratic, embryonic development is precise. We show by theory and simulations…

Cell Behavior · Quantitative Biology 2015-05-13 Thorsten Erdmann , Martin Howard , Pieter Rein ten Wolde

Boundary Discontinuity (BD) designs are used in empirical research to learn about causal treatment effects along a continuous assignment boundary defined by a bivariate score. These designs are also known as multi-score regression…

Methodology · Statistics 2026-05-29 Matias D. Cattaneo , Rocio Titiunik , Ruiqi Rae Yu

This paper introduces a machine learning approach to take a nonlinear differential-equation model that exhibits qualitative agreement with a physical experiment over a range of parameter values and produce a hybrid model that also exhibits…

Dynamical Systems · Mathematics 2022-08-24 K. H. Lee , D. A. W. Barton , L. Renson

Diffusion probabilistic models (DPMs) and their extensions have emerged as competitive generative models yet confront challenges of efficient sampling. We propose a new bilateral denoising diffusion model (BDDM) that parameterizes both the…

Audio and Speech Processing · Electrical Eng. & Systems 2022-03-28 Max W. Y. Lam , Jun Wang , Dan Su , Dong Yu

Cell fate decisions in multicellular organisms are precisely coordinated, leading to highly reproducible macroscopic outcomes of developmental processes. The origins of this reproducibility can be found at the molecular level during the…

Molecular Networks · Quantitative Biology 2013-09-25 Mariela D. Petkova , Feng Liu , Thomas Gregor

Learning predictors that do not rely on spurious correlations involves building causal representations. However, learning such a representation is very challenging. We, therefore, formulate the problem of learning a causal representation…

Predictive coding (PC) is an influential computational model of visual learning and inference in the brain. Classical PC was proposed as a top-down generative model, where the brain actively predicts upcoming visual inputs, and inference…

Machine Learning · Computer Science 2025-12-18 Gaspard Oliviers , Mufeng Tang , Rafal Bogacz

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2017-10-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

We present a technique to characterize differentially expressed genes in terms of their position in a high-dimensional co-expression network. The set-up of Gaussian graphical models is used to construct representations of the co-expression…

Applications · Statistics 2010-11-17 Gabriel C. G. de Abreu , Rodrigo Labouriau

The analysis of neural power spectra plays a crucial role in understanding brain function and dysfunction. While recent efforts have led to the development of methods for decomposing spectral data, challenges remain in performing…

Neurons and Cognition · Quantitative Biology 2024-10-29 Johan Medrano , Nicholas A. Alexander , Robert A. Seymour , Peter Zeidman

Differential graphical models are designed to represent the difference between the conditional dependence structures of two groups, thus are of particular interest for scientific investigation. Motivated by modern applications, this…

Statistics Theory · Mathematics 2021-02-03 Sen Na , Mladen Kolar , Oluwasanmi Koyejo

Bayesian experimental design (BED) is to answer the question that how to choose designs that maximize the information gathering. For implicit models, where the likelihood is intractable but sampling is possible, conventional BED methods…

Machine Learning · Computer Science 2021-03-16 Jiaxin Zhang , Sirui Bi , Guannan Zhang

Several studies highlighted the relevance of extrinsic noise in shaping cell decision making and differentiation in molecular networks. Experimental evidences of phenotypic differentiation are given by the presence of bimodal distributions…

Molecular Networks · Quantitative Biology 2017-04-19 Marco Del Giudice , Stefano Bo , Silvia Grigolon , Carla Bosia

Identifying latent structure in large data matrices is essential for exploring biological processes. Here, we consider recovering gene co-expression networks from gene expression data, where each network encodes relationships between genes…

Methodology · Statistics 2014-11-10 Chuan Gao , Shiwen Zhao , Ian C. McDowell , Christopher D. Brown , Barbara E. Engelhardt

Spatial gradients of diffusible signalling molecules play crucial roles in controlling diverse cellular behaviour such as cell differentiation, tissue patterning and chemotaxis. In this paper, we report the design and testing of a…

Quantitative Methods · Quantitative Biology 2016-12-15 Yasushi Saka , Murray MacPherson , Claudiu V. Giuraniuc

In genetical genomics studies, it is important to jointly analyze gene expression data and genetic variants in exploring their associations with complex traits, where the dimensionality of gene expressions and genetic variants can both be…

Methodology · Statistics 2014-04-15 Wei Lin , Rui Feng , Hongzhe Li

This paper presents a novel approach for denoising Electron Backscatter Diffraction (EBSD) patterns using diffusion models. We propose a two-stage training process with a UNet-based architecture, incorporating an auxiliary regression head…

Image and Video Processing · Electrical Eng. & Systems 2025-09-01 Nikolay Falaleev , Nikolai Orlov

Spatial transcriptomics (ST) has emerged as an advanced technology that provides spatial context to gene expression. Recently, deep learning-based methods have shown the capability to predict gene expression from WSI data using ST data.…

Machine Learning · Computer Science 2024-12-10 Mingcheng Qu , Yuncong Wu , Donglin Di , Anyang Su , Tonghua Su , Yang Song , Lei Fan