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In high-dimensional settings, sparse structures are critical for efficiency in term of memory and computation complexity. For a linear system, to find the sparsest solution provided with an over-complete dictionary of features directly is…

机器学习 · 统计学 2020-07-09 Yiping Jiang , Tianshi Chen

Automatic detection of faults in optical fibers is an active area of research that plays a significant role in the design of reliable and stable optical networks. A fiber measurement system that combines automated data acquisition and…

信号处理 · 电气工程与系统科学 2021-11-05 Yuneisy Garcia Guzman , Felipe Calliari , Gustavo C. Amaral , Michael Lunglmayr

Recent studies have shown that ensemble approaches could not only improve accuracy and but also estimate model uncertainty in deep learning. However, it requires a large number of parameters according to the increase of ensemble models for…

计算机视觉与模式识别 · 计算机科学 2020-05-25 Hong Joo Lee , Seong Tae Kim , Hakmin Lee , Nassir Navab , Yong Man Ro

We study the properties of the classical \emph{projection} method to conduct simultaneous inference about the coefficients of the structural impulse-response function and their identified set in Structural Vector Autoregressions. We show…

计量经济学 · 经济学 2026-03-31 Bulat Gafarov , Matthias Meier , José Luis Montiel Olea

Incorporating prior knowledge like lexical constraints into the model's output to generate meaningful and coherent sentences has many applications in dialogue system, machine translation, image captioning, etc. However, existing RNN-based…

计算与语言 · 计算机科学 2019-11-20 Dayiheng Liu , Jie Fu , Qian Qu , Jiancheng Lv

The sparse polynomial approximation of continuous functions has emerged as a prominent area of interest in function approximation theory in recent years. A key challenge within this domain is the accurate estimation of approximation errors.…

数值分析 · 数学 2025-06-10 Renzhong Feng , Bowen Zhang

Feature selection is a crucial step in building machine learning models. This process is often achieved with accuracy as an objective, and can be cumbersome and computationally expensive for large-scale datasets. Several additional model…

机器学习 · 计算机科学 2024-03-15 Shubham Sharma , Sanghamitra Dutta , Emanuele Albini , Freddy Lecue , Daniele Magazzeni , Manuela Veloso

In this paper, we propose and analyze a trust-region model-based algorithm for solving unconstrained stochastic optimization problems. Our framework utilizes random models of an objective function $f(x)$, obtained from stochastic…

最优化与控制 · 数学 2016-09-26 Ruobing Chen , Matt Menickelly , Katya Scheinberg

In this paper a spline based integral approximation is utilized to propose a sequence of approximations to the error function that converge at a significantly faster manner than the default Taylor series. The approximations can be improved…

综合数学 · 数学 2022-07-27 Roy M. Howard

A major obstacle in reinforcement learning-based sentence generation is the large action space whose size is equal to the vocabulary size of the target-side language. To improve the efficiency of reinforcement learning, we present a novel…

计算与语言 · 计算机科学 2019-04-08 Kazuma Hashimoto , Yoshimasa Tsuruoka

In recent years, the use of sparse recovery techniques in the approximation of high-dimensional functions has garnered increasing interest. In this work we present a survey of recent progress in this emerging topic. Our main focus is on the…

数值分析 · 数学 2017-06-12 Ben Adcock , Simone Brugiapaglia , Clayton G. Webster

Statistical inverse learning aims at recovering an unknown function $f$ from randomly scattered and possibly noisy point evaluations of another function $g$, connected to $f$ via an ill-posed mathematical model. In this paper we blend…

统计理论 · 数学 2024-01-22 Tapio Helin

The SparseStep algorithm is presented for the estimation of a sparse parameter vector in the linear regression problem. The algorithm works by adding an approximation of the exact counting norm as a constraint on the model parameters and…

统计方法学 · 统计学 2017-01-25 Gerrit J. J. van den Burg , Patrick J. F. Groenen , Andreas Alfons

In likelihood-free settings where likelihood evaluations are intractable, approximate Bayesian computation (ABC) addresses the formidable inference task to discover plausible parameters of simulation programs that explain the observations.…

机器学习 · 统计学 2019-03-05 Kelvin Hsu , Fabio Ramos

The computation of global radial basis function (RBF) approximations requires the solution of a linear system which, depending on the choice of RBF parameters, may be ill-conditioned. We study the stability and accuracy of approximation…

数值分析 · 数学 2022-11-24 Ben Adcock , Daan Huybrechs , Cécile Piret

We describe an approximate dynamic programming approach to compute lower bounds on the optimal value function for a discrete time, continuous space, infinite horizon setting. The approach iteratively constructs a family of lower bounding…

系统与控制 · 电气工程与系统科学 2024-12-20 Paul N. Beuchat , Joseph Warrington , John Lygeros

The randomized-feature approach has been successfully employed in large-scale kernel approximation and supervised learning. The distribution from which the random features are drawn impacts the number of features required to efficiently…

机器学习 · 统计学 2017-12-20 Shahin Shahrampour , Ahmad Beirami , Vahid Tarokh

Large-scale eigenvalue problems arise in various fields of science and engineering and demand computationally efficient solutions. In this study, we investigate the subspace approximation for parametric linear eigenvalue problems, aiming to…

When faced with a novel scenario, it can be hard to succeed on the first attempt. In these challenging situations, it is important to know how to retry quickly and meaningfully. Retrying behavior can emerge naturally in robots trained on…

机器人学 · 计算机科学 2024-06-25 Maximilian Du , Alexander Khazatsky , Tobias Gerstenberg , Chelsea Finn

In this paper we consider a problem of searching a space of predictive models for a given training data set. We propose an iterative procedure for deriving a sequence of improving models and a corresponding sequence of sets of non-linear…

机器学习 · 计算机科学 2014-02-18 Michael Tetelman