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Overparameterized models may have many interpolating solutions; implicit regularization refers to the hidden preference of a particular optimization method towards a certain interpolating solution among the many. A by now established line…

机器学习 · 计算机科学 2024-09-18 Hung-Hsu Chou , Holger Rauhut , Rachel Ward

Sparse logistic regression is for classification and feature selection simultaneously. Although many studies have been done to solve $\ell_1$-regularized logistic regression, there is no equivalently abundant work on solving sparse logistic…

机器学习 · 计算机科学 2023-10-13 Mengyuan Zhang , Kai Liu

Regularized linear regression is a promising approach for binary classification problems in which the training set has noisy labels since the regularization term can help to avoid interpolating the mislabeled data points. In this paper we…

机器学习 · 计算机科学 2023-11-07 Danil Akhtiamov , Reza Ghane , Babak Hassibi

Prior-weighted logistic regression has become a standard tool for calibration in speaker recognition. Logistic regression is the optimization of the expected value of the logarithmic scoring rule. We generalize this via a parametric family…

机器学习 · 统计学 2013-07-31 Niko Brümmer , George Doddington

Sparse optimization problems are ubiquitous in many fields such as statistics, signal/image processing and machine learning. This has led to the birth of many iterative algorithms to solve them. A powerful strategy to boost the performance…

机器学习 · 计算机科学 2023-01-09 Cassio F. Dantas , Emmanuel Soubies , Cédric Févotte

Ordinal regression predicts the objects' labels that exhibit a natural ordering, which is important to many managerial problems such as credit scoring and clinical diagnosis. In these problems, the ability to explain how the attributes…

机器学习 · 计算机科学 2019-11-15 Mengzhuo Guo , Zhongzhi Xu , Qingpeng Zhang , Xiuwu Liao , Jiapeng Liu

Traditional supervised learning aims to train a classifier in the closed-set world, where training and test samples share the same label space. In this paper, we target a more challenging and realistic setting: open-set learning (OSL),…

机器学习 · 计算机科学 2021-07-01 Zhen Fang , Jie Lu , Anjin Liu , Feng Liu , Guangquan Zhang

Feature selection and regularization are becoming increasingly prominent tools in the efforts of the reinforcement learning (RL) community to expand the reach and applicability of RL. One approach to the problem of feature selection is to…

机器学习 · 计算机科学 2012-07-03 Christopher Painter-Wakefield , Ronald Parr

Gradient clipping is a standard training technique used in deep learning applications such as large-scale language modeling to mitigate exploding gradients. Recent experimental studies have demonstrated a fairly special behavior in the…

机器学习 · 计算机科学 2023-06-06 Amirhossein Reisizadeh , Haochuan Li , Subhro Das , Ali Jadbabaie

Sorted $\ell_1$ Penalized Estimator (SLOPE) is a relatively new convex regularization method for fitting high-dimensional regression models. SLOPE allows to reduce the model dimension by shrinking some estimates of the regression…

统计理论 · 数学 2022-06-17 Tomasz Skalski , Piotr Graczyk , Bartosz Kołodziejek , Maciej Wilczyński

We study a class of non-convex and non-smooth problems with \textit{rank} regularization to promote sparsity in optimal solution. We propose to apply the proximal gradient descent method to solve the problem and accelerate the process with…

最优化与控制 · 数学 2023-07-28 Mengyuan Zhang , Kai Liu

Selection of important covariates and to drop the unimportant ones from a high-dimensional regression model is a long standing problem and hence have received lots of attention in the last two decades. After selecting the correct model, it…

统计理论 · 数学 2019-09-17 Debraj Das , Arindam Chatterjee , S. N. Lahiri

Online continual learning (OCL) aims to train neural networks incrementally from a non-stationary data stream with a single pass through data. Rehearsal-based methods attempt to approximate the observed input distributions over time with a…

机器学习 · 计算机科学 2022-11-15 Yaqian Zhang , Bernhard Pfahringer , Eibe Frank , Albert Bifet , Nick Jin Sean Lim , Yunzhe Jia

We investigate implicit regularization schemes for gradient descent methods applied to unpenalized least squares regression to solve the problem of reconstructing a sparse signal from an underdetermined system of linear measurements under…

机器学习 · 统计学 2019-09-12 Tomas Vaškevičius , Varun Kanade , Patrick Rebeschini

Online Active Learning (OAL) aims to manage unlabeled datastream by selectively querying the label of data. OAL is applicable to many real-world problems, such as anomaly detection in health-care and finance. In these problems, there are…

机器学习 · 计算机科学 2019-11-19 Yifan Zhang , Peilin Zhao , Shuaicheng Niu , Qingyao Wu , Jiezhang Cao , Junzhou Huang , Mingkui Tan

Offline Safe Reinforcement Learning (RL) seeks to address safety constraints by learning from static datasets and restricting exploration. However, these approaches heavily rely on the dataset and struggle to generalize to unseen scenarios…

机器人学 · 计算机科学 2025-03-04 Chenyang Cao , Yucheng Xin , Silang Wu , Longxiang He , Zichen Yan , Junbo Tan , Xueqian Wang

We present a novel adaptive random subspace learning algorithm (RSSL) for prediction purpose. This new framework is flexible where it can be adapted with any learning technique. In this paper, we tested the algorithm for regression and…

机器学习 · 计算机科学 2015-02-10 Mohamed Elshrif , Ernest Fokoue

We start out by demonstrating that an elementary learning task, corresponding to the training of a single linear neuron in a convolutional neural network, can be solved for feature spaces of very high dimensionality. In a second step,…

计算机视觉与模式识别 · 计算机科学 2017-07-11 Marco Loog , François Lauze

In big data analysis, a simple task such as linear regression can become very challenging as the variable dimension $p$ grows. As a result, variable screening is inevitable in many scientific studies. In recent years, randomized algorithms…

统计方法学 · 统计学 2019-02-13 Yu-Hsiang Cheng , Tzee-Ming Huang , Su-Yun Huang

In decision-making under uncertainty, several criteria have been studied to aggregate the performance of a solution over multiple possible scenarios. This paper introduces a novel variant of ordered weighted averaging (OWA) for optimization…

最优化与控制 · 数学 2024-01-30 Werner Baak , Marc Goerigk , Adam Kasperski , Paweł Zieliński