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In this paper, we have established a new framework of truncated inverse sampling for estimating mean values of non-negative random variables such as binomial, Poisson, hyper-geometrical, and bounded variables. We have derived explicit…

统计理论 · 数学 2013-11-05 Xinjia Chen

Object detection models often struggle with class imbalance, where rare categories appear significantly less frequently than common ones. Existing sampling-based rebalancing strategies, such as Repeat Factor Sampling (RFS) and…

计算机视觉与模式识别 · 计算机科学 2025-08-26 Taufiq Ahmed , Abhishek Kumar , Constantino Álvarez Casado , Anlan Zhang , Tuomo Hänninen , Lauri Loven , Miguel Bordallo López , Sasu Tarkoma

Intrinsic random functions (IRF) provide a versatile approach when the assumption of second-order stationarity is not met. Here, we develop the IRF theory on the circle with its universal kriging application. Unlike IRF in Euclidean spaces,…

统计方法学 · 统计学 2015-06-25 Chunfeng Huang , Haimeng Zhang , Scott M. Robeson

This paper proposes a verification-based decoding approach for reconstruction of a sparse signal with incremental sparse measurements. In its first step, the verification-based decoding algorithm is employed to reconstruct the signal with a…

信息论 · 计算机科学 2013-02-12 Xiaofu Wu , Zhen Yang , Lu Gan

Importance sampling (IS) is a powerful Monte Carlo methodology for the approximation of intractable integrals, very often involving a target probability density function. The performance of IS heavily depends on the appropriate selection of…

统计计算 · 统计学 2023-06-22 Víctor Elvira , Emilie Chouzenoux , Ömer Deniz Akyildiz , Luca Martino

Gaussian processes are flexible probabilistic regression models which are widely used in statistics and machine learning. However, a drawback is their limited scalability to large data sets. To alleviate this, full-scale approximations…

统计方法学 · 统计学 2026-01-13 Tim Gyger , Reinhard Furrer , Fabio Sigrist

Clinical study populations often differ meaningfully from the broader populations to which results are intended to generalize. Weighting methods such as inverse probability of sampling weights (IPSW) reweight study participants to resemble…

统计方法学 · 统计学 2025-12-02 William Stewart , Carly L. Brantner , Elizabeth A. Stuart , Laine Thomas

Accurate estimates of Instrument Spectral Response Functions (ISRFs) are crucial in order to have a good characterization of high resolution spectrometers. Spectrometers are composed of different optical elements that can induce errors in…

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

数值分析 · 计算机科学 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

The advent of sparsity inducing techniques in neural networks has been of a great help in the last few years. Indeed, those methods allowed to find lighter and faster networks, able to perform more efficiently in resource-constrained…

计算机视觉与模式识别 · 计算机科学 2023-03-21 Nathan Hubens , Victor Delvigne , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

The iterative phase retrieval problem for complex-valued objects from Fourier transform magnitude data is known to suffer from the twin image problem. In particular, when the object support is centro-symmetric, the iterative solution often…

计算机视觉与模式识别 · 计算机科学 2015-10-28 Charu Gaur , Baranidharan Mohan , Kedar Khare

We introduce a fast iterative non-local shrinkage algorithm to recover MRI data from undersampled Fourier measurements. This approach is enabled by the reformulation of current non-local schemes as an alternating algorithm to minimize a…

计算机视觉与模式识别 · 计算机科学 2014-05-22 Yasir Q. Moshin , Greg Ongie , Mathews Jacob

Iteratively reweighted least square (IRLS) is a popular approach to solve sparsity-enforcing regression problems in machine learning. State of the art approaches are more efficient but typically rely on specific coordinate pruning schemes.…

机器学习 · 统计学 2022-10-03 Clarice Poon , Gabriel Peyré

We present a new and general method of weighted least square univariate regression where the dependent variable is expanded as a series of suitably chosen functions of the independent variables. Each term of the series is obtained by an…

数值分析 · 数学 2021-03-26 Nilotpal Kanti Sinha

Iteratively Re-weighted Least Squares (IRLS) is a method for solving minimization problems involving non-quadratic cost functions, perhaps non-convex and non-smooth, which however can be described as the infimum over a family of quadratic…

数值分析 · 数学 2016-02-24 Massimo Fornasier , Steffen Peter , Holger Rauhut , Stephan Worm

We exploit the truncated singular value decomposition and the recently proposed circulant decomposition for an efficient first-order approximation of the multiplication of large dense matrices. A decomposition of each matrix into a sum of a…

数值分析 · 数学 2026-04-27 Suvendu Kar , Hariprasad M. , Sai Gowri J. N. , Murugesan Venkatapathi

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

机器学习 · 计算机科学 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

This paper proposes regenerative particle Thompson sampling (RPTS), a flexible variation of Thompson sampling. Thompson sampling itself is a Bayesian heuristic for solving stochastic bandit problems, but it is hard to implement in practice…

机器学习 · 计算机科学 2024-01-24 Zeyu Zhou , Bruce Hajek , Nakjung Choi , Anwar Walid

We develop a general framework for estimating the $L_\infty(\mathbb{T}^d)$ error for the approximation of multivariate periodic functions belonging to specific reproducing kernel Hilbert spaces (RHKS) using approximants that are…

数值分析 · 数学 2019-09-06 Lutz Kämmerer

The effectiveness of machine learning models is significantly affected by the size of the dataset and the quality of features as redundant and irrelevant features can radically degrade the performance. This paper proposes IGRF-RFE: a hybrid…

机器学习 · 计算机科学 2023-02-07 Yuhua Yin , Julian Jang-Jaccard , Wen Xu , Amardeep Singh , Jinting Zhu , Fariza Sabrina , Jin Kwak