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Accurate cyclone forecasting is essential for minimizing loss of life, infrastructure damage, and economic disruption. Traditional numerical weather prediction models, though effective, are computationally intensive and prone to error due…

机器学习 · 计算机科学 2025-09-30 Ethan Zachary Lo , Dan Chie-Tien Lo

The paper proposes a systematic framework for building data-driven stochastic differential equation (SDE) models from sparse, noisy observations. Unlike traditional parametric approaches, which assume a known functional form for the drift,…

机器学习 · 统计学 2025-08-18 Arnab Ganguly , Riten Mitra , Jinpu Zhou

Fast Incremental Expectation Maximization (FIEM) is a version of the EM framework for large datasets. In this paper, we first recast FIEM and other incremental EM type algorithms in the {\em Stochastic Approximation within EM} framework.…

机器学习 · 计算机科学 2021-01-01 Gersende Fort , P. Gach , E. Moulines

In this paper, we address the identification problem for the systems characterized by linear time-invariant dynamics with bilinear observation models. More precisely, we consider a suitable parametric description of the system and formulate…

系统与控制 · 电气工程与系统科学 2025-02-24 Diyou Liu , Mohammad Khosravi

The goal of branch length estimation in phylogenetic inference is to estimate the divergence time between a set of sequences based on compositional differences between them. A number of software is currently available facilitating branch…

种群与进化 · 定量生物学 2012-07-06 Ania Kedzierska , Marta Casanellas

Inferring dynamics from time series is an important objective in data analysis. In particular, it is challenging to infer stochastic dynamics given incomplete data. We propose an expectation maximization (EM) algorithm that iterates between…

数据分析、统计与概率 · 物理学 2021-08-25 Sangwon Lee , Vipul Periwal , Junghyo Jo

This paper focuses on the problem of recursive nonlinear least squares parameter estimation in multi-agent networks, in which the individual agents observe sequentially over time an independent and identically distributed (i.i.d.)…

最优化与控制 · 数学 2016-10-20 Anit Kumar Sahu , Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

Micro-randomized trials (MRTs) are increasingly used to evaluate mobile health interventions with binary proximal outcomes. Standard inverse probability weighting (IPW) estimators are unbiased but unstable in small samples or under extreme…

统计方法学 · 统计学 2025-10-10 Jinho Cha , Eunchan Cha

In this paper, we tackle for the first time the problem of maximum likelihood (ML) estimation of the signal-to-noise ratio (SNR) parameter over time-varying single-input multiple-output (SIMO) channels. Both the data-aided (DA) and the…

应用统计 · 统计学 2014-11-19 Faouzi Bellili , Rabii Meftehi , Sofiene Affes , Alex Stephenne

Global stability and robustness guarantees in learned dynamical systems are essential to ensure well-behavedness of the systems in the face of uncertainty. We present Extended Linearized Contracting Dynamics (ELCD), the first neural…

机器学习 · 计算机科学 2025-01-09 Sean Jaffe , Alexander Davydov , Deniz Lapsekili , Ambuj Singh , Francesco Bullo

Markov parameters play a key role in system identification. There exists many algorithms where these parameters are estimated using least-squares in a first, pre-processing, step, including subspace identification and multi-step…

系统与控制 · 电气工程与系统科学 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

High-resolution parameter estimation algorithms designed to exploit the prior knowledge about incident signals from strictly second-order (SO) non-circular (NC) sources allow for a lower estimation error and can resolve twice as many…

信息论 · 计算机科学 2015-01-07 Jens Steinwandt , Florian Roemer , Martin Haardt , Giovanni Del Galdo

The EM algorithm is a method for finding the maximum likelihood estimate of a model in the presence of missing data. Unfortunately, EM does not produce a parameter covariance matrix for standard errors. Supplemented EM (SEM; Meng & Rubin,…

统计计算 · 统计学 2016-05-04 Joshua N. Pritikin

Mixed linear regression involves the recovery of two (or more) unknown vectors from unlabeled linear measurements; that is, where each sample comes from exactly one of the vectors, but we do not know which one. It is a classic problem, and…

机器学习 · 统计学 2014-02-10 Xinyang Yi , Constantine Caramanis , Sujay Sanghavi

We study behavior of the restricted maximum likelihood (REML) estimator under a misspecified linear mixed model (LMM) that has received much attention in recent gnome-wide association studies. The asymptotic analysis establishes consistency…

统计理论 · 数学 2014-04-10 Jiming Jiang , Cong Li , Debashis Paul , Can Yang , Hongyu Zhao

Doubly robust estimators with cross-fitting have gained popularity in causal inference due to their favorable structure-agnostic error guarantees. However, when additional structure, such as H\"{o}lder smoothness, is available then more…

统计理论 · 数学 2025-05-08 Alec McClean , Sivaraman Balakrishnan , Edward H. Kennedy , Larry Wasserman

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

数据分析、统计与概率 · 物理学 2017-01-12 Yun Zhao

Extremum seeking (ES) optimization approach has been very popular due to its non-model based analysis and implementation. This approach has been mostly used with gradient based search algorithms. Since least squares (LS) algorithms are…

系统与控制 · 电气工程与系统科学 2020-03-10 Nursefa Zengin , Baris Fidan

Extreme Learning Machine (ELM) is an emerging learning paradigm for nonlinear regression problems and has shown its effectiveness in the machine learning community. An important feature of ELM is that the learning speed is extremely fast…

系统与控制 · 计算机科学 2012-11-08 Vijay Manikandan Janakiraman , Dennis Assanis

Over the last two decades, the Latent Position Model (LPM) has become a prominent tool to obtain model-based visualizations of networks. However, the geometric structure of the LPM is inherently symmetric, in the sense that outgoing and…

统计方法学 · 统计学 2026-02-02 Chaoyi Lu , Riccardo Rastelli