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We present a sparse analogue to stochastic gradient descent that is guaranteed to perform well under similar conditions to the lasso. In the linear regression setup with irrepresentable noise features, our algorithm recovers the support set…

统计理论 · 数学 2014-12-16 Jacob Steinhardt , Stefan Wager , Percy Liang

We present an analysis of ensemble Kalman inversion, based on the continuous time limit of the algorithm. The analysis of the dynamical behaviour of the ensemble allows us to establish well-posedness and convergence results for a fixed…

数值分析 · 数学 2017-08-09 Claudia Schillings , Andrew Stuart

Nonlinear dynamical systems are ubiquitous in nature and they are hard to forecast. Not only they may be sensitive to small perturbations in their initial conditions, but they are often composed of processes acting at multiple scales.…

混沌动力学 · 物理学 2025-10-06 Chenyu Dong , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

Smoothed analysis is a framework suggested for mediating gaps between worst-case and average-case complexities. In a recent work, Dinitz et al.~[Distributed Computing, 2018] suggested to use smoothed analysis in order to study dynamic…

分布式、并行与集群计算 · 计算机科学 2020-09-29 Uri Meir , Ami Paz , Gregory Schwartzman

Passive sonar signals contain complex characteristics often arising from environmental noise, vessel machinery, and propagation effects. While convolutional neural networks (CNNs) perform well on passive sonar classification tasks, they can…

音频与语音处理 · 电气工程与系统科学 2026-01-30 Jarin Ritu , Alexandra Van Dine , Joshua Peeples

How can we leverage existing column relationships within silos, to predict similar ones across silos? Can we do this efficiently and effectively? Existing matching approaches do not exploit prior knowledge, relying on prohibitively…

数据库 · 计算机科学 2024-03-05 Christos Koutras , Rihan Hai , Kyriakos Psarakis , Marios Fragkoulis , Asterios Katsifodimos

Motivation: With the development of third-generation sequencing technologies, people are able to obtain DNA sequences with lengths from 10s to 100s of kb. These long reads allow protein domain annotation without assembly, thus can produce…

基因组学 · 定量生物学 2021-07-09 Du Nan , Jiayu Shang , Yanni Sun

We propose a method to reconstruct and analyze a complex network from data generated by a spatio-temporal dynamical system, relying on the nonlinear mutual information of time series analysis and betweenness centrality of complex network…

大气与海洋物理 · 物理学 2010-02-11 Jonathan F. Donges , Yong Zou , Norbert Marwan , Juergen Kurths

The sparse identification of nonlinear dynamics (SINDy) has been established as an effective method to learn interpretable models of dynamical systems from data. However, for high-dimensional slow-fast dynamical systems, the regression…

动力系统 · 数学 2025-07-02 Diemen Delgado-Cano , Erick Kracht , Urban Fasel , Benjamin Herrmann

Spoken Language Models (SLMs) have emerged as a promising paradigm for speech synthesis by bypassing explicit grapheme-to-phoneme pipelines. However, their effectiveness in low-resource languages remains fundamentally limited by the…

计算与语言 · 计算机科学 2026-05-28 Yizhong Geng , Yanliang Li , Jinghan Yang , Tianhan Jiang , Boxun An , Ya Li , Xiaoyu Shen

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

数据分析、统计与概率 · 物理学 2010-04-28 R. Guimera , M. Sales-Pardo

This paper introduces a novel parameterization to characterize unknown linear time-invariant systems using noisy data. The presented parameterization describes exactly the set of all systems consistent with the available data. We then…

系统与控制 · 电气工程与系统科学 2025-07-15 Felix Brändle , Frank Allgöwer

In recent years, deep learning-based point cloud normal estimation has made great progress. However, existing methods mainly rely on the PCPNet dataset, leading to overfitting. In addition, the correlation between point clouds with…

计算机视觉与模式识别 · 计算机科学 2024-06-25 Wei Jin , Jun Zhou , Nannan Li , Haba Madeline , Xiuping Liu

Temporal data such as time series can be viewed as discretized measurements of the underlying function. To build a generative model for such data we have to model the stochastic process that governs it. We propose a solution by defining the…

机器学习 · 计算机科学 2023-05-22 Marin Biloš , Kashif Rasul , Anderson Schneider , Yuriy Nevmyvaka , Stephan Günnemann

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

机器学习 · 计算机科学 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

We introduce and analyse univariate, linear, and stationary subdivision schemes for refining noisy data, by fitting local least squares polynomials. We first present primal schemes, based on fitting linear polynomials to the data, and study…

数值分析 · 数学 2013-07-12 Nira Dyn , Allison Heard , Kai Hormann , Nir Sharon

In machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

机器学习 · 统计学 2017-10-18 Sheng Chen , Arindam Banerjee

4D seismic inversion is the leading method to quantitatively monitor fluid flow dynamics in the subsurface, with applications ranging from enhanced oil recovery to subsurface CO2 storage. The process of inverting seismic data for reservoir…

地球物理 · 物理学 2023-10-25 Juan Romero , Nick Luiken , Matteo Ravasi

System inference for nonlinear dynamic models, represented by ordinary differential equations (ODEs), remains a significant challenge in many fields, particularly when the data are noisy, sparse, or partially observable. In this paper, we…

机器学习 · 计算机科学 2025-12-25 Hyunwoo Cho , Hyeontae Jo , Hyung Ju Hwang

The generation of initial conditions via accurate data assimilation is crucial for weather forecasting and climate modeling. We propose DiffDA as a denoising diffusion model capable of assimilating atmospheric variables using predicted…

计算工程、金融与科学 · 计算机科学 2024-06-11 Langwen Huang , Lukas Gianinazzi , Yuejiang Yu , Peter D. Dueben , Torsten Hoefler