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We study spectral algorithms in the setting where kernels are learned from data. We introduce the effective span dimension (ESD), an alignment-sensitive complexity measure that depends jointly on the signal, spectrum, and noise level…

机器学习 · 计算机科学 2026-05-12 Dongming Huang , Zhifan Li , Yicheng Li , Qian Lin

We study the maximum likelihood model in emission tomography and propose a new family of algorithms for its solution, called String-Averaging Expectation-Maximization (SAEM). In the String-Averaging algorithmic regime, the index set of all…

医学物理 · 物理学 2019-04-03 E. S. Helou , Y. Censor , T. -B. Chen , I-L. Chern , Á. R. De Pierro , M. Jiang , H. H. -S. Lu

In quantum state tomography, the estimated frequencies do not correspond directly to a physical quantum state, due to statistical fluctuations. Thus, one resorts to point estimators that return the state that matches observations the best,…

量子物理 · 物理学 2018-11-09 Sacha Schwarz , Bruno Eckmann , Denis Rosset , André Stefanov

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to…

机器学习 · 统计学 2016-03-01 Igor Melnyk , Arindam Banerjee

In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced…

Standard system identification methods often provide inconsistent estimates with closed-loop data. With the prediction error method (PEM), this issue is solved by using a noise model that is flexible enough to capture the noise spectrum.…

系统与控制 · 计算机科学 2018-09-07 Miguel Galrinho , Cristian R. Rojas , Hakan Hjalmarsson

Hidden Markov Models (HMM) model a sequence of observations that are dependent on a hidden (or latent) state that follow a Markov chain. These models are widely used in diverse fields including ecology, speech recognition, and…

最优化与控制 · 数学 2024-09-05 Sidonie Foulon , Thérèse Truong , Anne-Louise Leutenegger , Hervé Perdry

Oscillator phase noise (PHN) and carrier frequency offset (CFO) can adversely impact the performance of orthogonal frequency division multiplexing (OFDM) systems, since they can result in inter carrier interference and rotation of the…

信息论 · 计算机科学 2016-11-15 Omar H. Salim , Ali A. Nasir , Hani Mehrpouyan , Wei Xiang , Salman Durrani , Rodney A. Kennedy

In some situations, EM algorithm shows slow convergence problems. One possible reason is that standard procedures update the parameters simultaneously. In this paper we focus on finite mixture estimation. In this framework, we propose a…

统计计算 · 统计学 2012-01-31 Gilles Celeux , Stéphane Chrétien , Florence Forbes

This work presents a Boundary Element Method (BEM) formulation for contactless electromagnetic field assessments. The new scheme is based on a regularized BEM approach that requires the use of electric measurements only. The regularization…

医学物理 · 物理学 2017-03-08 Rajendra Mitharwal , Francesco P. Andriulli

Regression mixture models are widely studied in statistics, machine learning and data analysis. Fitting regression mixtures is challenging and is usually performed by maximum likelihood by using the expectation-maximization (EM) algorithm.…

统计方法学 · 统计学 2014-09-25 Faicel Chamroukhi

The stochastic approximation EM algorithm (SAEM) is described for the estimation of item and person parameters given test data coded as dichotomous or ordinal variables. The method hinges upon the eigenanalysis of missing variables sampled…

统计方法学 · 统计学 2020-01-01 Eugene Geis

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or…

机器学习 · 统计学 2018-04-04 Abubakar Abid , James Zou

This paper proposes Incremental Seeded Expectation Maximization, an algorithm that improves upon the traditional Expectation Maximization computational flow for clusterwise or finite mixture linear regression tasks. The proposed method…

统计计算 · 统计学 2025-07-08 Ye Chow Kuang , Melanie Ooi

Extreme learning machine (ELM) is a network model that arbitrarily initializes the first hidden layer and can be computed speedily. In order to improve the classification performance of ELM, a $\ell_2$ and $\ell_{0.5}$ regularization ELM…

最优化与控制 · 数学 2023-01-05 Liangjuan Zhou , Wei Miao

Expectation maximization (EM) algorithm is to find maximum likelihood solution for models having latent variables. A typical example is Gaussian Mixture Model (GMM) which requires Gaussian assumption, however, natural images are highly…

机器学习 · 计算机科学 2018-12-04 Wentian Zhao , Shaojie Wang , Zhihuai Xie , Jing Shi , Chenliang Xu

Polarised light from astronomical targets can yield a wealth of information about their source radiation mechanisms, and about the geometry of the scattered light regions. Optical observations, of both the linear and circular polarisation…

天体物理仪器与方法 · 物理学 2015-09-18 Gillian Kyne , David Lara , Gregg Hallinan , Michael Redfern , Andrew Shearer

Although the expectation maximisation (EM) algorithm was introduced in 1970, it remains somewhat inaccessible to machine learning practitioners due to its obscure notation, terse proofs and lack of concrete links to modern machine learning…

机器学习 · 统计学 2021-05-05 Graham W. Pulford

Towards understanding the fundamental limits of estimation from data of varied quality, we study the problem of estimating a mean parameter from heteroskedastic Gaussian observations where the variances are unknown and may vary arbitrarily…

统计理论 · 数学 2026-03-17 Yanjun Han , Abhishek Shetty , Jacob Shkrob