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Linear discriminant analysis (LDA) based classifiers tend to falter in many practical settings where the training data size is smaller than, or comparable to, the number of features. As a remedy, different regularized LDA (RLDA) methods…

Machine Learning · Computer Science 2021-03-30 Alam Zaib , Tarig Ballal , Shahid Khattak , Tareq Y. Al-Naffouri

We introduce a new algorithm, extended regularized dual averaging (XRDA), for solving regularized stochastic optimization problems, which generalizes the regularized dual averaging (RDA) method. The main novelty of the method is that it…

Optimization and Control · Mathematics 2022-07-14 Jonathan W. Siegel , Jinchao Xu

Recent advances in reinforcement learning with verifiable rewards (RLVR) show that large language models enhance their reasoning abilities when trained with verifiable signals. However, due to reward sparsity, effectiveness depends heavily…

Computation and Language · Computer Science 2026-01-27 Sanghwan Bae , Jiwoo Hong , Min Young Lee , Hanbyul Kim , JeongYeon Nam , Donghyun Kwak

An ordinal classification problem is one in which the target variable takes values on an ordinal scale. Nowadays, there are many of these problems associated with real-world tasks where it is crucial to accurately classify the extreme…

Regularization is a popular technique to solve the overfitting problem of machine learning algorithms. Most regularization technique relies on parameter selection of the regularization coefficient. Plug-in method and cross-validation…

Machine Learning · Computer Science 2022-05-24 Hao Wang

How to improve discriminative feature learning is central in classification. Existing works address this problem by explicitly increasing inter-class separability and intra-class similarity, whether by constructing positive and negative…

Machine Learning · Computer Science 2024-08-21 Qingsong Zhao , Yi Wang , Shuguang Dou , Chen Gong , Yin Wang , Cairong Zhao

We provide a statistical analysis of regularization-based continual learning on a sequence of linear regression tasks, with emphasis on how different regularization terms affect the model performance. We first derive the convergence rate…

Machine Learning · Computer Science 2024-06-11 Xuyang Zhao , Huiyuan Wang , Weiran Huang , Wei Lin

We consider the problem of online multiclass classification with partial feedback, where an algorithm predicts a class for a new instance in each round and only receives its correctness. Although several methods have been developed for this…

Machine Learning · Computer Science 2019-02-05 Takuo Kaneko , Issei Sato , Masashi Sugiyama

Inverse optimization is a powerful paradigm for learning preferences and restrictions that explain the behavior of a decision maker, based on a set of external signal and the corresponding decision pairs. However, most inverse optimization…

Machine Learning · Computer Science 2018-11-05 Chaosheng Dong , Yiran Chen , Bo Zeng

Current online learning methods suffer issues such as lower convergence rates and limited capability to select important features compared to their offline counterparts. In this paper, a novel framework for online learning based on running…

Machine Learning · Statistics 2024-10-15 Lizhe Sun , Mingyuan Wang , Siquan Zhu , Adrian Barbu

Regularization is a popular technique in machine learning for model estimation and avoiding overfitting. Prior studies have found that modern ordered regularization can be more effective in handling highly correlated, high-dimensional data…

Machine Learning · Computer Science 2019-11-01 Mahammad Humayoo , Xueqi Cheng

Excessive computational cost for learning large data and streaming data can be alleviated by using stochastic algorithms, such as stochastic gradient descent and its variants. Recent advances improve stochastic algorithms on convergence…

Machine Learning · Statistics 2019-09-24 Shih-Kang Chao , Guang Cheng

Most of the existing works for reinforcement learning (RL) with general function approximation (FA) focus on understanding the statistical complexity or regret bounds. However, the computation complexity of such approaches is far from being…

Machine Learning · Computer Science 2023-04-19 Dingwen Kong , Ruslan Salakhutdinov , Ruosong Wang , Lin F. Yang

There is growing body of learning problems for which it is natural to organize the parameters into matrix, so as to appropriately regularize the parameters under some matrix norm (in order to impose some more sophisticated prior knowledge).…

Machine Learning · Computer Science 2010-10-19 Sham M. Kakade , Shai Shalev-Shwartz , Ambuj Tewari

Linear discriminant analysis (LDA) is a widely used technique for data classification. The method offers adequate performance in many classification problems, but it becomes inefficient when the data covariance matrix is ill-conditioned.…

Machine Learning · Statistics 2024-02-08 Maaz Mahadi , Tarig Ballal , Muhammad Moinuddin , Tareq Y. Al-Naffouri , Ubaid M. Al-Saggaf

Online programming courses are becoming more and more popular, but they still have significant drawbacks when compared to the traditional education system, e.g., the lack of feedback. In this study, we apply machine learning methods to…

Computers and Society · Computer Science 2021-07-22 Artyom Lobanov , Timofey Bryksin , Alexey Shpilman

In recent years, text-aware collaborative filtering methods have been proposed to address essential challenges in recommendations such as data sparsity, cold start problem, and long-tail distribution. However, many of these text-oriented…

Information Retrieval · Computer Science 2020-09-01 Zhimeng Pan , Wenzheng Tao , Qingyao Ai

The paper proposes a novel regularization procedure for machine learning. The proposed high-order regularization (HR) provides new insight into regularization, which is widely used to train a neural network that can be utilized to…

Machine Learning · Computer Science 2025-05-14 Xinghua Liu , Ming Cao

Regularization is a fundamental technique to prevent over-fitting and to improve generalization performances by constraining a model's complexity. Current Deep Networks heavily rely on regularizers such as Data-Augmentation (DA) or…

Machine Learning · Computer Science 2022-04-12 Randall Balestriero , Leon Bottou , Yann LeCun

We consider a commonly studied supervised classification of a synthetic dataset whose labels are generated by feeding a one-layer neural network with random iid inputs. We study the generalization performances of standard classifiers in the…

Machine Learning · Statistics 2021-02-18 Benjamin Aubin , Florent Krzakala , Yue M. Lu , Lenka Zdeborová
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