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The Augmented Lagrangian Method (ALM) is an iterative method for the solution of equality-constrained non-linear programming problems. In contrast to the quadratic penalty method, the ALM can satisfy equality constraints in an exact way.…

Numerical Analysis · Mathematics 2018-04-24 Martin Neuenhofen

In the era of data-driven intelligence, the paradox of data abundance and annotation scarcity has emerged as a critical bottleneck in the advancement of machine learning. This paper gives a detailed overview of Active Learning (AL), which…

Machine Learning · Computer Science 2025-11-27 Chiung-Yi Tseng , Junhao Song , Ziqian Bi , Tianyang Wang , Chia Xin Liang , Xinyuan Song , Ming Liu

Active Learning (AL) has emerged as a powerful approach for minimizing labeling costs by selectively sampling the most informative data for neural network model development. Effective AL for large-scale vision-language models necessitates…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Athmanarayanan Lakshmi Narayanan , Amrutha Machireddy , Ranganath Krishnan

Deep learning has achieved remarkable success across many domains, but it has also created a growing demand for interpretability in model predictions. Although many explainable machine learning methods have been proposed, post-hoc…

Machine Learning · Computer Science 2026-01-28 Shijian Xu , Marcello Massimo Negri , Volker Roth

In this paper, we propose a novel solution for non-convex problems of multiple variables, especially for those typically solved by an alternating minimization (AM) strategy that splits the original optimization problem into a set of…

Machine Learning · Computer Science 2022-06-28 Jingyuan Xia , Shengxi Li , Jun-Jie Huang , Imad Jaimoukha , Deniz Gunduz

We introduce LAMPO, a novel paradigm that leverages Large Language Models (LLMs) for solving few-shot multi-class ordinal classification tasks. Unlike conventional methods, which concatenate all demonstration examples with the test instance…

Machine Learning · Computer Science 2024-08-08 Zhen Qin , Junru Wu , Jiaming Shen , Tianqi Liu , Xuanhui Wang

Learning to optimize (L2O) is an emerging approach that leverages machine learning to develop optimization methods, aiming at reducing the laborious iterations of hand engineering. It automates the design of an optimization method based on…

Optimization and Control · Mathematics 2021-07-05 Tianlong Chen , Xiaohan Chen , Wuyang Chen , Howard Heaton , Jialin Liu , Zhangyang Wang , Wotao Yin

Supervised machine learning has become the cornerstone of today's data-driven society, increasing the need for labeled data. However, the process of acquiring labels is often expensive and tedious. One possible remedy is to use active…

Machine Learning · Computer Science 2023-02-22 Josip Jukić , Fran Jelenić , Miroslav Bićanić , Jan Šnajder

Laser machining is a highly flexible non-contact manufacturing technique that has been employed widely across academia and industry. Due to nonlinear interactions between light and matter, simulation methods are extremely crucial, as they…

Computational Engineering, Finance, and Science · Computer Science 2023-01-04 Razyeh Behbahani , Hamidreza Yazdani Sarvestani , Erfan Fatehi , Elham Kiyani , Behnam Ashrafi , Mikko Karttunen , Meysam Rahmat

Large language models (LLMs) have demonstrated remarkable reasoning capability in solving mathematical problems. However, existing approaches primarily focus on improving the quality of correct training data, e.g., distilling high-quality…

Machine Learning · Computer Science 2025-06-02 Zhuoshi Pan , Yu Li , Honglin Lin , Qizhi Pei , Zinan Tang , Wei Wu , Chenlin Ming , H. Vicky Zhao , Conghui He , Lijun Wu

Active learning (AL) accelerates scientific discovery by prioritizing the most informative experiments, but traditional machine learning (ML) models used in AL suffer from cold-start limitations and domain-specific feature engineering,…

Machine Learning · Computer Science 2025-12-05 Hongchen Wang , Rafael Espinosa Castañeda , Jay R. Werber , Yao Fehlis , Edward Kim , Jason Hattrick-Simpers

Formulating mathematical models from real-world decision problems is a core task in Operational Research, yet it typically requires considerable human expertise and effort, limiting practical application. Recent advances in large language…

Optimization and Control · Mathematics 2025-11-05 Qingyang Li , Lele Zhang , Vicky Mak-Hau

We introduce DynAMO, a reinforcement learning paradigm for Dynamic Anticipatory Mesh Optimization. Adaptive mesh refinement is an effective tool for optimizing computational cost and solution accuracy in numerical methods for partial…

Numerical Analysis · Mathematics 2024-03-12 Tarik Dzanic , Ketan Mittal , Dohyun Kim , Jiachen Yang , Socratis Petrides , Brendan Keith , Robert Anderson

Active learning is a machine learning paradigm that aims to improve the performance of a model by strategically selecting and querying unlabeled data. One effective selection strategy is to base it on the model's predictive uncertainty,…

Machine Learning · Computer Science 2024-05-17 Seong Jin Cho , Gwangsu Kim , Junghyun Lee , Jinwoo Shin , Chang D. Yoo

We compare alternative computing strategies for solving the constrained lasso problem. As its name suggests, the constrained lasso extends the widely-used lasso to handle linear constraints, which allow the user to incorporate prior…

Machine Learning · Statistics 2016-11-08 Brian R. Gaines , Hua Zhou

When aligning large language models (LLMs), their performance on various tasks (such as being helpful, harmless, and honest) depends heavily on the composition of their training data. However, selecting a data mixture that achieves strong…

Machine Learning · Computer Science 2025-06-03 Nicholas E. Corrado , Julian Katz-Samuels , Adithya Devraj , Hyokun Yun , Chao Zhang , Yi Xu , Yi Pan , Bing Yin , Trishul Chilimbi

Active learning (AL) seeks to reduce annotation costs by selecting the most informative samples for labeling, making it particularly valuable in resource-constrained settings. However, traditional evaluation methods, which focus solely on…

Machine Learning · Computer Science 2025-07-22 Julia Machnio , Mads Nielsen , Mostafa Mehdipour Ghazi

We consider the convex minimization model with both linear equality and inequality constraints, and reshape the classic augmented Lagrangian method (ALM) by balancing its subproblems. As a result, one of its subproblems decouples the…

Optimization and Control · Mathematics 2021-08-20 Bingsheng He , Xiaoming Yuan

LMFAO is an in-memory optimization and execution engine for large batches of group-by aggregates over joins. Such database workloads capture the data-intensive computation of a variety of data science applications. We demonstrate LMFAO for…

Databases · Computer Science 2020-08-21 Maximilian Schleich , Dan Olteanu

Machine unlearning (MU) is to make a well-trained model behave as if it had never been trained on specific data. In today's over-parameterized models, dominated by neural networks, a common approach is to manually relabel data and fine-tune…

Machine Learning · Computer Science 2025-07-21 Ruikai Yang , Mingzhen He , Zhengbao He , Youmei Qiu , Xiaolin Huang