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We propose an efficient algorithm for approximate computation of the profile maximum likelihood (PML), a variant of maximum likelihood maximizing the probability of observing a sufficient statistic rather than the empirical sample. The PML…

机器学习 · 计算机科学 2017-12-21 Dmitri S. Pavlichin , Jiantao Jiao , Tsachy Weissman

This paper presents a method to interpolate a periodic band-limited signal from its samples lying at nonuniform positions in a regular grid, which is based on the FFT and has the same complexity order as this last algorithm. This kind of…

信息论 · 计算机科学 2016-11-17 J. Selva

We present a machine learning (ML) method for efficient computation of vibrational thermal expectation values of physical properties from first principles. Our approach is based on the non-perturbative frozen phonon formulation in which…

材料科学 · 物理学 2026-03-16 Niraj Aryal , Sheng Zhang , Weiguo Yin , Gia-Wei Chern

This paper considers the problem of channel coding with a given (possibly suboptimal) maximum-metric decoding rule. A cost-constrained random-coding ensemble with multiple auxiliary costs is introduced, and is shown to achieve error…

信息论 · 计算机科学 2014-03-05 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

This paper presents a fast computational method, the Expectation Maximization algorithm, for Maximum Likelihood (ML) estimation in diffusion tensor imaging under the Rice noise model. We further extend the ML framework to the maximum a…

统计计算 · 统计学 2015-01-09 Jia Liu , Dario Gasbarra , Juha Railavo

In this paper, we propose a maximum smoothed likelihood method to estimate the component density functions of mixture models, in which the mixing proportions are known and may differ among observations. The proposed estimates maximize a…

统计方法学 · 统计学 2014-07-14 Tao Yu , Pengfei Li , Jing Qin

We consider the problem of channel estimation for amplify-and-forward (AF) two-way relay networks (TWRNs). Most works on this problem focus on pilot-based approaches which impose a significant training overhead that reduces the spectral…

信息论 · 计算机科学 2015-05-27 Saeed Abdallah , Ioannis N. Psaromiligkos

A fast full-wave simulation technique is presented for the analysis of large irregular planar arrays of identical 3-D metallic antennas. The solution method relies on the Macro Basis Functions (MBF) approach and an interpolatory technique…

In this paper, applied strictly monotonic increasing scaled maps, a kind of well-conditioned linear barycentric rational interpolations are proposed to approximate functions of singularities at the origin, such as $x^\alpha$ for $\alpha \in…

数值分析 · 数学 2021-01-21 Desong Kong , Shuhuang Xiang

We consider the problem of dynamic pricing of a product in the presence of feature-dependent price sensitivity. Developing practical algorithms that can estimate price elasticities robustly, especially when information about no purchases…

机器学习 · 统计学 2022-12-21 Ravi Kumar , Shahin Boluki , Karl Isler , Jonas Rauch , Darius Walczak

This paper presents an innovative set of tools to support a methodology for the multichannel interpolation (MCI) of a discrete signal. It is shown that a bandlimited signal $f$ can be exactly reconstructed from finite samples of $g_k$…

信息论 · 计算机科学 2019-04-12 Dong Cheng , Kit Ian Kou

Several researchers have described two-part models with patient-specific stochastic processes for analysing longitudinal semicontinuous data. In theory, such models can offer greater flexibility than the standard two-part model with…

应用统计 · 统计学 2017-03-28 Sean Yiu , Brian Tom

This paper is concerned with the error estimation of the fast multipole method (FMM) for scattering problems in 2-D. The FMM error is caused by truncating Graf's addition theorem in each step of the algorithm, including two expansions and…

数值分析 · 数学 2023-02-01 Wenhui Meng

In computational mechanics, multiple models are often present to describe a physical system. While Bayesian model selection is a helpful tool to compare these models using measurement data, it requires the computationally expensive…

统计计算 · 统计学 2025-04-14 Subhayan De , Reza Farzad , Patrick T. Brewick , Erik A. Johnson , Steven F. Wojtkiewicz

Low complexity joint estimation of synchronization impairments and channel in a single-user MIMO-OFDM system is presented in this letter. Based on a system model that takes into account the effects of synchronization impairments such as…

信息论 · 计算机科学 2013-04-30 Renu Jose , Sooraj K. Ambat , K. V. S. Hari

The normalized maximum likelihood code length has been widely used in model selection, and its favorable properties, such as its consistency and the upper bound of its statistical risk, have been demonstrated. This paper proposes a novel…

统计理论 · 数学 2018-01-12 Atsushi Suzuki , Kenji Yamanishi

We describe two implementations of the optimal error correction algorithm known as the maximum likelihood decoder (MLD) for the 2D surface code with a noiseless syndrome extraction. First, we show how to implement MLD exactly in time…

量子物理 · 物理学 2014-10-01 Sergey Bravyi , Martin Suchara , Alexander Vargo

Estimation of the number of superimposed sinusoids in the presence of noise is an important model order selection (MOS) problem in statistical signal processing. In this paper, we propose a new approach to the design of MOS algorithms for…

信号处理 · 电气工程与系统科学 2024-07-04 Aleksandr Kharin

We present a general modified maximum likelihood (MML) method for inferring generative distribution functions from uncertain and biased data. The MML estimator is identical to, but easier and many orders of magnitude faster to compute than…

星系天体物理 · 物理学 2018-01-10 Danail Obreschkow , Steven G. Murray , Aaron S. G. Robotham , Tobias Westmeier

In this article we develop a new sequential Monte Carlo (SMC) method for multilevel (ML) Monte Carlo estimation. In particular, the method can be used to estimate expectations with respect to a target probability distribution over an…

统计计算 · 统计学 2017-03-16 Alexandros Beskos , Ajay Jasra , Kody Law , Youssef Marzouk , Yan Zhou