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A Kalman filter based sequential estimator is presented in the present work. The estimator is integrated in the structure of segregated solvers for the analysis of incompressible flows. This technique provides an augmented flow state…

流体动力学 · 物理学 2017-02-22 Marcello Meldi , Alexandre Poux

We propose a method for adaptive nonlinear sequential modeling of vector-time series data. Data is modeled as a nonlinear function of past values corrupted by noise, and the underlying non-linear function is assumed to be approximately…

统计方法学 · 统计学 2017-10-11 Qiuyi Han , Jie Ding , Edoardo Airoldi , Vahid Tarokh

Stochastic differential equations (SDEs) are well suited to modelling noisy and irregularly sampled time series found in finance, physics, and machine learning. Traditional approaches require costly numerical solvers to sample between…

机器学习 · 计算机科学 2025-10-30 Naoki Kiyohara , Edward Johns , Yingzhen Li

Filtering problems with jumps in both the signal and the observation have been extensively studied, typically under the assumption that jump times are totally inaccessible. In many applications, however, jump times are known in advance…

概率论 · 数学 2026-05-13 Thorsten Schmidt , Félix B. Tambe-Ndonfack

We implement a systematic asset allocation model using the Historical Simulation with Flexible Probabilities (HS-FP) framework developed by Meucci. The HS-FP framework is a flexible non-parametric estimation approach that considers future…

投资组合管理 · 定量金融 2019-10-15 Ann Sebastian , Tim Gebbie

Presented is a new algorithm for estimating the frequency of a single-tone noisy signal using linear least squares (LLS). Frequency estimation is a nonlinear problem, and typically, methods such as Nonlinear Least Squares (NLS) (batch) or a…

信号处理 · 电气工程与系统科学 2019-04-17 Solomon Davis , Izhak Bucher

The ordinary least squares estimate in linear regression is sensitive to the influence of errors with large variance, which reduces its robustness, especially when dealing with heavy-tailed errors or outliers frequently encountered in…

统计方法学 · 统计学 2025-05-01 Mengjiao Shi , Yunhai Xiao

Stock price forecasting is an important issue for investors since extreme accuracy in forecasting can bring about high profits. Fuzzy Time Series (FTS) and Longest Common/Repeated Sub-sequence (LCS/LRS) are two important issues for…

计算工程、金融与科学 · 计算机科学 2015-06-23 He-Wen Chen , Zih-Ci Wang , Shu-Yu Kuo , Yao-Hsin Chou

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

Fused Lasso was proposed to characterize the sparsity of the coefficients and the sparsity of their successive differences for the linear regression. Due to its wide applications, there are many existing algorithms to solve fused Lasso.…

统计计算 · 统计学 2024-04-17 Pan Shang , Huangyue Chen , Lingchen Kong

This paper presents novel adaptive space-time reduced-rank interference suppression least squares algorithms based on joint iterative optimization of parameter vectors. The proposed space-time reduced-rank scheme consists of a joint…

信息论 · 计算机科学 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

We propose a multinomial logistic regression model for link prediction in a time series of directed binary networks. To account for the dynamic nature of the data we employ a dynamic model for the model parameters that is strongly connected…

应用统计 · 统计学 2017-10-05 Brenda Betancourt , Abel Rodríguez , Naomi Boyd

We consider the problem of predicting an outcome variable using $p$ covariates that are measured on $n$ independent observations, in the setting in which flexible and interpretable fits are desirable. We propose the fused lasso additive…

统计方法学 · 统计学 2014-09-19 Ashley Petersen , Daniela Witten , Noah Simon

Dynamic flux balance analysis uses a quasi-steady state assumption to calculate an organism's metabolic activity at each time-step of a dynamic simulation, using the well-known technique of flux balance analysis. For microbial communities,…

定量方法 · 定量生物学 2021-01-27 James D. Brunner , Nicholas Chia

We propose a penalized least-squares method to fit the linear regression model with fitted values that are invariant to invertible linear transformations of the design matrix. This invariance is important, for example, when practitioners…

统计方法学 · 统计学 2024-10-11 Daeyoung Ham , Adam J. Rothman

Lagrangian data assimilation exploits the trajectories of moving tracers as observations to recover the underlying flow field. One major challenge in Lagrangian data assimilation is the intrinsic nonlinearity that impedes using exact…

动力系统 · 数学 2023-06-14 Nan Chen , Shubin Fu

Volatility prediction in the financial market helps to understand the profit and involved risks in investment. However, due to irregularities, high fluctuations, and noise in the time series, predicting volatility poses a challenging task.…

计算金融 · 定量金融 2022-11-02 Suchetana Sadhukhan , Shiv Manjaree Gopaliya , Pushpdant Jain

Continuous-time state-space models (SSMs) are flexible tools for analysing irregularly sampled sequential observations that are driven by an underlying state process. Corresponding applications typically involve restrictive assumptions…

统计方法学 · 统计学 2020-10-29 Sina Mews , Roland Langrock , Marius Ötting , Houda Yaqine , Jost Reinecke

The interest in variable selection for clustering has increased recently due to the growing need in clustering high-dimensional data. Variable selection allows in particular to ease both the clustering and the interpretation of the results.…

统计方法学 · 统计学 2012-04-11 Charles Bouveyron , Camille Brunet

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

计量经济学 · 经济学 2020-05-20 Samuel Gingras , William J. McCausland
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