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The Lasso has become a benchmark data analysis procedure, and numerous variants have been proposed in the literature. Although the Lasso formulations are stated so that overall prediction error is optimized, no full control over the…

Large language models (LLMs) have achieved significant performance gains via scaling up model sizes and/or data. However, recent evidence suggests diminishing returns from such approaches, motivating scaling the computation spent at…

机器学习 · 计算机科学 2025-08-15 Isha Puri , Shivchander Sudalairaj , Guangxuan Xu , Kai Xu , Akash Srivastava

We present an inference scheme of long timescale, non-exponential kinetics from Molecular Dynamics simulations accelerated by stochastic resetting. Standard simulations provide valuable insight into chemical processes but are limited to…

化学物理 · 物理学 2024-10-15 Ofir Blumer , Shlomi Reuveni , Barak Hirshberg

We study the task of learning latent-variable models. A common algorithmic technique for this task is the method of moments. Unfortunately, moment-based approaches are hampered by the fact that the moment tensors of super-constant degree…

数据结构与算法 · 计算机科学 2025-04-15 Ilias Diakonikolas , Daniel M. Kane

This paper addresses the problem of identifying sparse linear time-invariant (LTI) systems from a single sample trajectory generated by the system dynamics. We introduce a Lasso-like estimator for the parameters of the system, taking into…

系统与控制 · 计算机科学 2019-04-23 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

Valid inference after model selection is currently a very active area of research. The polyhedral method, pioneered by Lee, et al. (2016), allows for valid inference after model selection if the model selection event can be described by…

统计理论 · 数学 2019-07-08 Danijel Kivaranovic , Hannes Leeb

Multiple imputation (MI) has been widely applied to missing value problems in biomedical, social and econometric research, in order to avoid improper inference in the downstream data analysis. In the presence of high-dimensional data,…

统计方法学 · 统计学 2023-05-04 Zhiqi Bu , Zongyu Dai , Yiliang Zhang , Qi Long

This paper develops a unified framework for partial identification and inference in stratified experiments with attrition, accommodating both equal and heterogeneous treatment shares across strata. For equal-share designs, we apply recent…

计量经济学 · 经济学 2026-01-21 Bruno Ferman , Davi Siqueira , Vitor Possebom

Weak signal identification and inference are very important in the area of penalized model selection, yet they are under-developed and not well-studied. Existing inference procedures for penalized estimators are mainly focused on strong…

统计方法学 · 统计学 2016-11-16 Peibei Shi , Annie Qu

We introduce two types of estimators of the finite-dimensional parameters in the case of observations of inhomogeneous Poisson processes. These are the estimators of the method of moments and multi-step MLE. It is shown that the estimators…

统计理论 · 数学 2018-06-19 Ali S. Dabye , Alix A. Gounoung , Yury A. Kutoyants

We propose a new sparse regression method called the component lasso, based on a simple idea. The method uses the connected-components structure of the sample covariance matrix to split the problem into smaller ones. It then solves the…

机器学习 · 统计学 2013-12-10 Nadine Hussami , Robert Tibshirani

This paper examines LASSO, a widely-used $L_{1}$-penalized regression method, in high dimensional linear predictive regressions, particularly when the number of potential predictors exceeds the sample size and numerous unit root regressors…

计量经济学 · 经济学 2024-01-17 Ziwei Mei , Zhentao Shi

The Integrated Nested Laplace Approximation (INLA) is a deterministic approach to Bayesian inference on latent Gaussian models (LGMs) and focuses on fast and accurate approximation of posterior marginals for the parameters in the models.…

统计计算 · 统计学 2021-03-05 Martin Outzen Berild , Sara Martino , Virgilio Gómez-Rubio , Håvard Rue

In this paper we study from a numerical analysis perspective the Fractional Step Kinetic Monte Carlo (FS-KMC) algorithms proposed in [1] for the parallel simulation of spatially distributed particle systems on a lattice. FS-KMC are…

数值分析 · 数学 2012-08-07 Giorgos Arampatzis , Markos A. Katsoulakis , Petr Plechac

This paper presents a synthesis approach aiming to guarantee a minimum upper-bound for the time taken to reach a target set of non-zero measure that encompasses the origin, while taking into account uncertainties and input and state…

系统与控制 · 电气工程与系统科学 2026-04-21 Víctor Costa da Silva Campos , Mariella Maia Quadros , Luciano Frezzato , Leonardo Mozelli , Anh-Tu Nguyen

We study the problem of detecting change points (CPs) that are characterized by a subset of dimensions in a multi-dimensional sequence. A method for detecting those CPs can be formulated as a two-stage method: one for selecting relevant…

机器学习 · 统计学 2018-03-05 Yuta Umezu , Ichiro Takeuchi

We propose a new semi-parametric approach to the joint segmentation of multiple series corrupted by a functional part. This problem appears in particular in geodesy where GPS permanent station coordinate series are affected by undocumented…

统计方法学 · 统计学 2014-06-26 Karine Bertin , Xavier Collilieux , Emilie Lebarbier , Cristian Meza

In this work we propose a generalization of the Moment Guided Monte Carlo method developed in [11]. This approach permits to reduce the variance of the particle methods through a matching with a set of suitable macroscopic moment equations.…

数值分析 · 数学 2013-07-10 Giacomo Dimarco

We develop methodology for valid inference after variable selection in logistic regression when the responses are partially observed, that is, when one observes a set of error-prone testing outcomes instead of the true values of the…

统计方法学 · 统计学 2025-04-17 Qinyan Shen , Karl Gregory , Xianzheng Huang

We model and study the problem of localizing a set of sparse forcing inputs for linear dynamical systems from noisy measurements when the initial state is unknown. This problem is of particular relevance to detecting forced oscillations in…

最优化与控制 · 数学 2022-01-21 Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut