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Purpose: A supervised learning framework is proposed to automatically generate MR sequences and corresponding reconstruction based on the target contrast of interest. Combined with a flexible, task-driven cost function this allows for an…

We present a randomized maximum a posteriori (rMAP) method for generating approximate samples of posteriors in high dimensional Bayesian inverse problems governed by large-scale forward problems. We derive the rMAP approach by: 1) casting…

统计计算 · 统计学 2016-02-12 Kainan Wang , Tan Bui-Thanh , Omar Ghattas

Under random mating, a progeny's alleles are independently sampled from the parental gene pools. Here is a new proof which avoids the usual algebraic complexity, based on a restated Mendel's First Law. Another simplified proof along the old…

种群与进化 · 定量生物学 2015-12-17 Von Bing Yap

The spread of an advantageous mutation through a population is of fundamental interest in population genetics. While the classical Moran model is formulated for a well-mixed population, it has long been recognized that in real-world…

种群与进化 · 定量生物学 2022-09-27 Jasmine Foo , Einar Bjarki Gunnarsson , Kevin Leder , David Sivakoff

Abstract Meaning Representation (AMR) represents sentences as directed, acyclic and rooted graphs, aiming at capturing their meaning in a machine readable format. AMR parsing converts natural language sentences into such graphs. However,…

计算与语言 · 计算机科学 2019-04-18 Juri Opitz , Anette Frank

Space partitioning methods such as random forests and the Mondrian process are powerful machine learning methods for multi-dimensional and relational data, and are based on recursively cutting a domain. The flexibility of these methods is…

机器学习 · 统计学 2019-12-03 Shufei Ge , Shijia Wang , Yee Whye Teh , Liangliang Wang , Lloyd T. Elliott

This paper introduces marginal fairness, a new individual fairness notion for equitable decision-making in the presence of protected attributes such as gender, race, and religion. This criterion ensures that decisions based on generalized…

机器学习 · 统计学 2025-05-27 Fei Huang , Silvana M. Pesenti

Learning complex distributions is a fundamental challenge in contemporary applications. Shen and Meinshausen (2024) introduced engression, a generative approach based on scoring rules that maps noise (and covariates, if available) directly…

机器学习 · 计算机科学 2025-08-19 Xinwei Shen , Nicolai Meinshausen , Tong Zhang

We propose a family of near-metrics based on local graph diffusion to capture similarity for a wide class of data sets. These quasi-metametrics, as their names suggest, dispense with one or two standard axioms of metric spaces, specifically…

机器学习 · 统计学 2017-10-18 Chu Wang , Iraj Saniee , William S. Kennedy , Chris A. White

Inference of the marginal likelihood of sample allele configurations using backward algorithms yields identical results with the Kingman coalescent, the Moran model, and the diffusion model (up to a scaling of time). For inference of…

种群与进化 · 定量生物学 2021-12-20 Claus Vogl , Sandra Peer , Lynette Caitlin Mikula

Probabilistic sampling-based algorithms, such as the probabilistic roadmap (PRM) and the rapidly-exploring random tree (RRT) algorithms, represent one of the most successful approaches to robotic motion planning, due to their strong…

机器人学 · 计算机科学 2016-05-04 Lucas Janson , Brian Ichter , Marco Pavone

The goal of this article is to study the limit of the empirical distribution induced by a mutation-selection multi-allelic Moran model, whose dynamic is given by a continuous-time irreducible Markov chain. The rate matrix driving the…

概率论 · 数学 2022-09-28 Bertrand Cloez , Josué Corujo

Gene-gene interactions are often regarded as playing significant roles in influencing variabilities of complex traits. Although much research has been devoted to this area, to date a comprehensive statistical model that addresses the…

应用统计 · 统计学 2018-04-18 Durba Bhattacharya , Sourabh Bhattacharya

Many causal systems such as biological processes in cells can only be observed indirectly via measurements, such as gene expression. Causal representation learning -- the task of correctly mapping low-level observations to latent causal…

机器学习 · 计算机科学 2025-10-31 Elliot Layne , Jason Hartford , Sébastien Lachapelle , Mathieu Blanchette , Dhanya Sridhar

Score matching is an alternative to maximum likelihood (ML) for estimating a probability distribution parametrized up to a constant of proportionality. By fitting the ''score'' of the distribution, it sidesteps the need to compute this…

机器学习 · 计算机科学 2023-06-06 Chirag Pabbaraju , Dhruv Rohatgi , Anish Sevekari , Holden Lee , Ankur Moitra , Andrej Risteski

We consider a population model where individuals behave independently from each other and whose genealogy is described by a chronological tree called splitting tree. The individuals have i.i.d. (non-exponential) lifetime durations and give…

概率论 · 数学 2014-05-20 Mathieu Richard

We describe a variational approximation method for efficient inference in large-scale probabilistic models. Variational methods are deterministic procedures that provide approximations to marginal and conditional probabilities of interest.…

人工智能 · 计算机科学 2011-05-30 T. S. Jaakkola , M. I. Jordan

Random forests remain among the most popular off-the-shelf supervised machine learning tools with a well-established track record of predictive accuracy in both regression and classification settings. Despite their empirical success as well…

机器学习 · 统计学 2020-09-15 Lucas Mentch , Siyu Zhou

We consider the Moran process, as generalized by Lieberman, Hauert and Nowak (Nature, 433:312--316, 2005). A population resides on the vertices of a finite, connected, undirected graph and, at each time step, an individual is chosen at…

计算复杂性 · 计算机科学 2014-03-21 Josep Díaz , Leslie Ann Goldberg , George B. Mertzios , David Richerby , Maria Serna , Paul G. Spirakis

Modern generative modeling methods have demonstrated strong performance in learning complex data distributions from clean samples. In many scientific and imaging applications, however, clean samples are unavailable, and only noisy or…

机器学习 · 计算机科学 2026-05-29 Willem Diepeveen , Oscar Leong