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In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

With the rapid development of data collection and aggregation technologies in many scientific disciplines, it is becoming increasingly ubiquitous to conduct large-scale or online regression to analyze real-world data and unveil real-world…

Methodology · Statistics 2021-03-22 Jinfeng Xu , Zhiliang Ying , Na Zhao

We present Nested Sampling with Slice-within-Gibbs (NS-SwiG), an algorithm for Bayesian inference and evidence estimation in high-dimensional models whose likelihood admits a factorization, such as hierarchical Bayesian models. We construct…

Computation · Statistics 2026-02-20 David Yallup

We introduce a new method for learning Bayesian neural networks, treating them as a stack of multivariate Bayesian linear regression models. The main idea is to infer the layerwise posterior exactly if we know the target outputs of each…

Machine Learning · Computer Science 2024-11-20 Richard Kurle , Alexej Klushyn , Ralf Herbrich

There is an increasing interest in emulating Spiking Neural Networks (SNNs) on neuromorphic computing devices due to their low energy consumption. Recent advances have allowed training SNNs to a point where they start to compete with…

Neural and Evolutionary Computing · Computer Science 2022-01-14 Nicolas Perez-Nieves , Dan F. M. Goodman

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

Machine Learning · Statistics 2026-05-26 Alexander Shen , Mikael Kuusela

Recent advances in quantum hardware motivate the development of algorithmic frameworks that integrate quantum sampling with classical inference. This work introduces a segmentation-based regression method tailored to quantum neural networks…

Quantum Physics · Physics 2025-07-02 James C. Hateley

Many statistical problems include model parameters that are defined as the solutions to optimization sub-problems. These include classical approaches such as profile likelihood as well as modern applications involving flow networks or…

Methodology · Statistics 2025-03-17 Cheng Zeng , Yaozhi Yang , Jason Xu , Leo L Duan

In this paper, we use the stochastic approximation method to estimate Sliced Average Variance Estimation (SAVE). This method is known for its efficiency in recursive estimation. Stochastic approximation is particularly effective for…

Statistics Theory · Mathematics 2024-06-25 Emmanuel De Dieu Nkou

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Constrained stochastic nonlinear optimization problems have attracted significant attention for their ability to model complex real-world scenarios in physics, economics, and biology. As datasets continue to grow, online inference methods…

Machine Learning · Statistics 2025-05-27 Xinchen Du , Wanrong Zhu , Wei Biao Wu , Sen Na

We aim to incorporate variable selection routines into variable-by-variable (or sequential) imputation in clustered data to achieve computational improvement in applications with large-scale health data. Specifically, we utilize variable…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

The rapid advancement of deep neural networks has significantly improved various tasks, such as image and speech recognition. However, as the complexity of these models increases, so does the computational cost and the number of parameters,…

Machine Learning · Computer Science 2023-07-18 Davide Giacomini , Maeesha Binte Hashem , Jeremiah Suarez , Swarup Bhunia , Amit Ranjan Trivedi

We recently proposed the STiDi-BP algorithm, which avoids backward recursive gradient computation, for training multi-layer spiking neural networks (SNNs) with single-spike-based temporal coding. The algorithm employs a linear approximation…

Neural and Evolutionary Computing · Computer Science 2021-09-01 Maryam Mirsadeghi , Majid Shalchian , Saeed Reza Kheradpisheh , Timothée Masquelier

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Residual bootstrap is a classical method for statistical inference in regression settings. With massive data sets becoming increasingly common, there is a demand for computationally efficient alternatives to residual bootstrap. We propose a…

Methodology · Statistics 2024-09-30 Indrila Ganguly , Srijan Sengupta , Sujit Ghosh

Bayesian Image-on-Scalar Regression (ISR) provides flexible, uncertainty-aware neuroimaging analysis. However, applying ISR to large-scale datasets such as the UK Biobank is challenging due to intensive computational demands and the need to…

Applications · Statistics 2026-02-09 Yuliang Xu , Timothy D. Johnson , Thomas E. Nichols , Jian Kang

Magnetic resonance (MR) images collected in 2D clinical protocols typically have large inter-slice spacing, resulting in high in-plane resolution and reduced through-plane resolution. Super-resolution technique can enhance the through-plane…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Xin Wang , Sheng Wang , Honglin Xiong , Kai Xuan , Zixu Zhuang , Mengjun Liu , Zhenrong Shen , Xiangyu Zhao , Lichi Zhang , Qian Wang

Compressed sensing applied to magnetic resonance imaging (MRI) allows to reduce the scanning time by enabling images to be reconstructed from highly undersampled data. In this paper, we tackle the problem of designing a sampling mask for an…

Image and Video Processing · Electrical Eng. & Systems 2020-03-17 Thomas Sanchez , Baran Gözcü , Ruud B. van Heeswijk , Armin Eftekhari , Efe Ilıcak , Tolga Çukur , Volkan Cevher

There is a lack of simple and scalable algorithms for uncertainty quantification. Bayesian methods quantify uncertainty through posterior and predictive distributions, but it is difficult to rapidly estimate summaries of these…

Computation · Statistics 2016-12-28 Cheng Li , Sanvesh Srivastava , David B. Dunson
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