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It is often of interest to estimate regression functions non-parametrically. Penalized regression (PR) is one statistically-effective, well-studied solution to this problem. Unfortunately, in many cases, finding exact solutions to PR…

统计方法学 · 统计学 2021-12-08 Brayan Ortiz , Noah Simon

From the statistical learning perspective, complexity control via explicit regularization is a necessity for improving the generalization of over-parameterized models. However, the impressive generalization performance of neural networks…

机器学习 · 计算机科学 2021-02-09 Taejong Joo , Uijung Chung

We introduce a new concept, data irrecoverability, and show that the well-studied concept of data privacy is sufficient but not necessary for data irrecoverability. We show that there are several regularized loss minimization problems that…

机器学习 · 计算机科学 2021-07-07 Zitao Li , Jean Honorio

Aligning Large Language Models (LLMs) with human preferences is crucial for their deployment in real-world applications. Recent advancements in Self-Rewarding Language Models suggest that an LLM can use its internal reward models (such as…

人工智能 · 计算机科学 2025-02-14 Xin Zhou , Yiwen Guo , Ruotian Ma , Tao Gui , Qi Zhang , Xuanjing Huang

In this work, we investigate data fitting problems with random noises. A randomized progressive iterative regularization method is proposed. It works well for large-scale matrix computations and converges in expectation to the least-squares…

数值分析 · 数学 2025-06-05 Dakang Cen , Wenlong Zhang , Junbin Zhong

This study introduces novel superior scoring rules called Penalized Brier Score (PBS) and Penalized Logarithmic Loss (PLL) to improve model evaluation for probabilistic classification. Traditional scoring rules like Brier Score and…

机器学习 · 计算机科学 2025-05-05 Rouhollah Ahmadian , Mehdi Ghatee , Johan Wahlström

Given a set of items and a set of evaluators who all individually rank them, how do we aggregate these evaluations into a single societal ranking? Work in social choice and statistics has produced many aggregation methods for this problem,…

计算机科学与博弈论 · 计算机科学 2025-08-26 Ratip Emin Berker , Ben Armstrong , Vincent Conitzer , Nihar B. Shah

The widespread application of pre-trained language models (PLMs) in natural language processing (NLP) has led to increasing concerns about their explainability. Selective rationalization is a self-explanatory framework that selects…

计算与语言 · 计算机科学 2025-01-07 Libing Yuan , Shuaibo Hu , Kui Yu , Le Wu

Partial label learning (PLL) aims to solve the problem where each training instance is associated with a set of candidate labels, one of which is the correct label. Most PLL algorithms try to disambiguate the candidate label set, by either…

机器学习 · 计算机科学 2018-05-09 Gengyu Lyu , Songhe Feng , Congyang Lang

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

Regularized regression problems are ubiquitous in statistical modeling, signal processing, and machine learning. Sparse regression in particular has been instrumental in scientific model discovery, including compressed sensing applications,…

机器学习 · 统计学 2018-11-09 Peng Zheng , Travis Askham , Steven L. Brunton , J. Nathan Kutz , Aleksandr Y. Aravkin

Semi-supervised learning (SSL) enables training of powerful models with the assumption of limited, carefully labelled data and a large amount of unlabeled data to support the learning. In this paper, we propose a hybrid consistency learning…

计算机视觉与模式识别 · 计算机科学 2025-11-12 Matus Bojko , Maros Kollar , Marek Jakab , Wanda Benesova

Contrastive Learning (CL) performances as a rising approach to address the challenge of sparse and noisy recommendation data. Although having achieved promising results, most existing CL methods only perform either hand-crafted data or…

信息检索 · 计算机科学 2023-11-22 Xiuyuan Qin , Huanhuan Yuan , Pengpeng Zhao , Junhua Fang , Fuzhen Zhuang , Guanfeng Liu , Victor Sheng

Partial label learning (PLL) learns from training examples each associated with multiple candidate labels, among which only one is valid. In recent years, benefiting from the strong capability of dealing with ambiguous supervision and the…

人工智能 · 计算机科学 2024-02-28 Qian-Wei Wang , Bowen Zhao , Mingyan Zhu , Tianxiang Li , Zimo Liu , Shu-Tao Xia

Personalization is a critical task in modern intelligent systems, with applications spanning diverse domains, including interactions with large language models (LLMs). Recent advances in reasoning capabilities have significantly enhanced…

计算与语言 · 计算机科学 2025-05-26 Sichun Luo , Guanzhi Deng , Jian Xu , Xiaojie Zhang , Hanxu Hou , Linqi Song

This paper explores the role of regularization in data-driven predictive control (DDPC) through the lens of convex relaxation. Using a bi-level optimization framework, we model system identification as an inner problem and predictive…

最优化与控制 · 数学 2026-04-17 Xu Shang , Yang Zheng

Recent advances in semi-supervised learning have shown tremendous potential in overcoming a major barrier to the success of modern machine learning algorithms: access to vast amounts of human-labeled training data. Previous algorithms based…

机器学习 · 计算机科学 2019-11-22 Phi Vu Tran

Iterative pruning is one of the most effective compression methods for pre-trained language models. We discovered that finding the optimal pruning decision is an equality-constrained 0-1 Integer Linear Programming problem. The solution to…

计算与语言 · 计算机科学 2023-05-23 Siyu Ren , Kenny Q. Zhu

Self-Supervised Learning (SSL) methods harness the concept of semantic invariance by utilizing data augmentation strategies to produce similar representations for different deformations of the same input. Essentially, the model captures the…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Huijie Guo , Ying Ba , Jie Hu , Lingyu Si , Wenwen Qiang , Lei Shi

Data-driven discovery of differential equations has been an emerging research topic. We propose a novel algorithm subsampling-based threshold sparse Bayesian regression (SubTSBR) to tackle high noise and outliers. The subsampling technique…

机器学习 · 统计学 2020-10-28 Sheng Zhang , Guang Lin