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Bayesian Neural Networks (BNN) have emerged as a crucial approach for interpreting ML predictions. By sampling from the posterior distribution, data scientists may estimate the uncertainty of an inference. Unfortunately many inference…

机器学习 · 计算机科学 2023-11-23 Thomas D. Ahle , Sahar Karimi , Peter Tak Peter Tang

Undirected graphical models are applied in genomics, protein structure prediction, and neuroscience to identify sparse interactions that underlie discrete data. Although Bayesian methods for inference would be favorable in these contexts,…

机器学习 · 统计学 2017-06-15 John Ingraham , Debora Marks

We introduce a model for the evolution of species triggered by generation of novel features and exhaustive combination with other available traits. Under the assumption that innovations are rare, we obtain a bursty branching process of…

种群与进化 · 定量生物学 2014-01-29 Stephanie Keller-Schmidt , Konstantin Klemm

Monitoring species distribution is vital for conservation efforts, enabling the assessment of environmental impacts and the development of effective preservation strategies. Traditional data collection methods, including citizen science,…

机器学习 · 计算机科学 2025-10-23 Chirag Padubidri , Pranesh Velmurugan , Andreas Lanitis , Andreas Kamilaris

Many exact Markov chain Monte Carlo algorithms have been developed for posterior inference in Bayesian nonparametric models which involve infinite-dimensional priors. However, these methods are not generic and special methodology must be…

统计计算 · 统计学 2014-05-22 Jim E. Griffin

Molecular traits, such as gene expression levels or protein binding affinities, are increasingly accessible to quantitative measurement by modern high-throughput techniques. Such traits measure molecular functions and, from an evolutionary…

种群与进化 · 定量生物学 2013-11-15 Armita Nourmohammad , Torsten Held , Michael Lässig

The widespread availability of high-dimensional biological data has made the simultaneous screening of many biological characteristics a central problem in computational biology and allied sciences. While the dimensionality of such datasets…

统计方法学 · 统计学 2023-03-10 Nima S. Hejazi , Philippe Boileau , Mark J. van der Laan , Alan E. Hubbard

Dealing with missing data poses significant challenges in predictive analysis, often leading to biased conclusions when oversimplified assumptions about the missing data process are made. In cases where the data are missing not at random…

统计方法学 · 统计学 2024-12-20 Yong Chen Goh , Wuu Kuang Soh , Andrew C. Parnell , Keefe Murphy

The measured time series from complex systems are renowned for their intricate stochastic behavior, characterized by random fluctuations stemming from external influences and nonlinear interactions. These fluctuations take diverse forms,…

统计力学 · 物理学 2025-03-19 Pyei Phyo Lin , Matthias Wächter , Joachim Peinke , M. Reza Rahimi Tabar

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

统计方法学 · 统计学 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

Estimating the sharing of genetic effects across different conditions is important to many statistical analyses of genomic data. The patterns of sharing arising from these data are often highly heterogeneous. To flexibly model these…

统计方法学 · 统计学 2024-06-14 Yunqi Yang , Peter Carbonetto , David Gerard , Matthew Stephens

Feature and trait allocation models are fundamental objects in Bayesian nonparametrics and play a prominent role in several applications. Existing approaches, however, typically assume full exchangeability of the data, which may be…

统计方法学 · 统计学 2025-11-11 Lorenzo Ghilotti , Federico Camerlenghi , Tommaso Rigon , Michele Guindani

Data attribution methods trace model behavior back to its training dataset, offering an effective approach to better understand ''black-box'' neural networks. While prior research has established quantifiable links between model output and…

机器学习 · 计算机科学 2024-07-30 Tong Xie , Haoyu Li , Andrew Bai , Cho-Jui Hsieh

Bayesian averaging over classification models allows the uncertainty of classification outcomes to be evaluated, which is of crucial importance for making reliable decisions in applications such as financial in which risks have to be…

Diffusion models are state-of-the-art generative models, yet their samples often fail to satisfy application objectives such as safety constraints or domain-specific validity. Existing techniques for alignment require gradients, internal…

This paper develops the inferential theory for latent factor models estimated from large dimensional panel data with missing observations. We propose an easy-to-use all-purpose estimator for a latent factor model by applying principal…

计量经济学 · 经济学 2022-01-11 Ruoxuan Xiong , Markus Pelger

Sampling from the posterior is a key technical problem in Bayesian statistics. Rigorous guarantees are difficult to obtain for Markov Chain Monte Carlo algorithms of common use. In this paper, we study an alternative class of algorithms…

统计理论 · 数学 2024-08-26 Andrea Montanari , Yuchen Wu

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

统计方法学 · 统计学 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

统计方法学 · 统计学 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

The paper presents a comparative study of the performance of Back Propagation and Instance Based Learning Algorithm for classification tasks. The study is carried out by a series of experiments will all possible combinations of parameter…

机器学习 · 计算机科学 2016-04-20 Nadia Kanwal , Erkan Bostanci