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Most linear dimension reduction methods proposed in the literature can be formulated using an appropriate pair of scatter matrices, see e.g. Ye and Weiss (2003), Tyler et al. (2009), Bura and Yang (2011), Liski et al. (2014) and Luo and Li…

统计方法学 · 统计学 2024-04-12 Klaus Nordhausen , Hannu Oja , David E. Tyler

Even though image signals are typically acquired on a regular two dimensional grid, there exist many scenarios where non-regular sampling is possible. Non-regular sampling can remove aliasing. In terms of the non-regular sampling patterns,…

图像与视频处理 · 电气工程与系统科学 2022-03-02 Simon Grosche , Jürgen Seiler , André Kaup

Data collected from arrays of sensors are essential for informed decision-making in various systems. However, the presence of anomalies can compromise the accuracy and reliability of insights drawn from the collected data or information…

应用统计 · 统计学 2024-03-19 Katie Buchhorn , Kerrie Mengersen , Edgar Santos-Fernandez , James McGree

We formalise and generalise the definition of the family of univariate double two--piece distributions, obtained by using a density--based transformation of unimodal symmetric continuous distributions with a shape parameter. The resulting…

统计方法学 · 统计学 2015-08-07 F. J. Rubio , M. F. J. Steel

Bayesian shrinkage methods have generated a lot of recent interest as tools for high-dimensional regression and model selection. These methods naturally facilitate tractable uncertainty quantification and incorporation of prior information.…

统计方法学 · 统计学 2017-04-21 Bala Rajaratnam , Doug Sparks , Kshitij Khare , Liyuan Zhang

Power and sample size analysis comprises a critical component of clinical trial study design. There is an extensive collection of methods addressing this problem from diverse perspectives. The Bayesian paradigm, in particular, has attracted…

统计方法学 · 统计学 2021-12-08 Jane Pan , Sudipto Banerjee

In this work, we leverage the 2-contraction theory, which extends the capabilities of classical contraction theory, to develop a global stability framework. Coupled with powerful geometric tools such as the Poincare index theory, the…

系统与控制 · 电气工程与系统科学 2025-02-21 Riddhi Mohan Bora , Bhabani Shankar Dey , Indra Narayan Kar

Multidimensional scaling visualizes dissimilarities among objects and reduces data dimensionality. While many methods address symmetric proximity data, asymmetric and especially three-way proximity data (capturing relationships across…

统计方法学 · 统计学 2025-11-21 Aleix Alcacer , Rafael Benitez , Vicente J. Bolos , Irene Epifanio

Bayesian model selection provides a powerful framework for objectively comparing models directly from observed data, without reference to ground truth data. However, Bayesian model selection requires the computation of the marginal…

统计方法学 · 统计学 2024-01-17 Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra

To separate the overlapped cells, a bottleneck detection approach is proposed in this paper. The cell image is segmented by slope difference distribution (SDD) threshold selection. For each segmented binary clump, its one-dimensional…

计算机视觉与模式识别 · 计算机科学 2019-12-12 ZhenZhou Wang

The paper is an attempt to generalize a methodology, which is similar to the bounded-input bounded-output method currently widely used for the system stability studies. The presented earlier methodology allows decomposition of input space…

人工智能 · 计算机科学 2007-05-23 Ziny Flikop

We introduce a novel stochastic version of the non-reversible, rejection-free Bouncy Particle Sampler (BPS), a Markov process whose sample trajectories are piecewise linear. The algorithm is based on simulating first arrival times in a…

统计计算 · 统计学 2017-06-15 Ari Pakman , Dar Gilboa , David Carlson , Liam Paninski

At present, high-dimensional global optimization problems with time-series models have received much attention from engineering fields. Since it was proposed, Bayesian optimization has quickly become a popular and promising approach for…

机器学习 · 计算机科学 2021-08-06 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha

Class imbalance and distributional differences in large datasets present significant challenges for classification tasks machine learning, often leading to biased models and poor predictive performance for minority classes. This work…

机器学习 · 统计学 2024-12-20 Alex Mak , Shubham Sahoo , Shivani Pandey , Yidan Yue , Linglong Kong

Different from conventional radar, the cellular network in the integrated sensing and communication (ISAC) system enables collaborative sensing by multiple sensing nodes, e.g., base stations (BSs). However, existing works normally assume…

信号处理 · 电气工程与系统科学 2023-05-10 Yiming Xu , Dongfang Xu , Lei Xie , Shenghui Song

Modeling non Gaussian and non stationary signals and images has always been one of the most important part of signal and image processing methods. In this paper, first we propose a few new models, all based on using hidden variables for…

数据分析、统计与概率 · 物理学 2007-05-23 Ali Mohammad-Djafari

Under a generalised estimating equation analysis approach, approximate design theory is used to determine Bayesian D-optimal designs. For two examples, considering simple exchangeable and exponential decay correlation structures, we compare…

统计方法学 · 统计学 2024-02-16 Laura Etfer , James M. S. Wason , Michael J. Grayling

Complex orthogonal designs (CODs) play a crucial role in the construction of space-time block codes. Their real analog, real orthogonal designs (or equivalently, sum of squares composition formula) have a long history. Adams et al. (2011)…

信息论 · 计算机科学 2023-07-10 Yiwen Gao , Yuan Li , Haibin Kan

The goal of survey design is often to minimize the errors associated with inference: the total of bias and variance. Random surveys are common because they allow the use of theoretically unbiased estimators. In practice however, such…

统计方法学 · 统计学 2023-02-14 Connie Okasaki , Sándor F. Tóth , Andrew M. Berdahl

Estimating causal effects under interference is pertinent to many real-world settings. Recent work with low-order potential outcomes models uses a rollout design to obtain unbiased estimators that require no interference network…

统计方法学 · 统计学 2025-02-12 Mayleen Cortez-Rodriguez , Matthew Eichhorn , Christina Lee Yu