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Two-level stochastic optimization formulations have become instrumental in a number of machine learning contexts such as continual learning, neural architecture search, adversarial learning, and hyperparameter tuning. Practical stochastic…

最优化与控制 · 数学 2023-11-08 Tommaso Giovannelli , Griffin Dean Kent , Luis Nunes Vicente

In this paper, we study norm-based regularization methods for neural networks. We compare existing penalization approaches and introduce two regularization strategies that extend classical ridge- and lasso-type penalties to neural network…

机器学习 · 统计学 2026-05-04 Muhammad Qasim , Farrukh Javed

In recent years, a variety of gradient-based methods have been developed to solve Bi-Level Optimization (BLO) problems in machine learning and computer vision areas. However, the theoretical correctness and practical effectiveness of these…

机器学习 · 计算机科学 2022-01-04 Risheng Liu , Pan Mu , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

We establish the first global convergence result of neural networks for two stage least squares (2SLS) approach in nonparametric instrumental variable regression (NPIV). This is achieved by adopting a lifted perspective through mean-field…

机器学习 · 统计学 2025-11-19 Zonghao Chen , Atsushi Nitanda , Arthur Gretton , Taiji Suzuki

Inverse problems are key issues in several scientific areas, including signal processing and medical imaging. Data-driven approaches for inverse problems aim for learning model and regularization parameters from observed data samples, and…

最优化与控制 · 数学 2024-11-28 Mathias Staudigl , Simon Weissmann , Tristan van Leeuwen

In multi-task learning, difficulty levels of different tasks are varying. There are many works to handle this situation and we classify them into five categories, including the direct sum approach, the weighted sum approach, the maximum…

机器学习 · 计算机科学 2020-02-13 Sicong Liang , Yu Zhang

Gradient-based Bi-Level Optimization (BLO) methods have been widely applied to handle modern learning tasks. However, most existing strategies are theoretically designed based on restrictive assumptions (e.g., convexity of the lower-level…

机器学习 · 计算机科学 2023-05-09 Risheng Liu , Xuan Liu , Shangzhi Zeng , Jin Zhang , Yixuan Zhang

Deep neural networks often severely forget previously learned knowledge when learning new knowledge. Various continual learning (CL) methods have been proposed to handle such a catastrophic forgetting issue from different perspectives and…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Chao Wu , Xiaobin Chang , Ruixuan Wang

Iteratively reweighted least square (IRLS) is a popular approach to solve sparsity-enforcing regression problems in machine learning. State of the art approaches are more efficient but typically rely on specific coordinate pruning schemes.…

机器学习 · 统计学 2022-10-03 Clarice Poon , Gabriel Peyré

Penalty-based methods have become popular for solving bilevel optimization (BLO) problems, thanks to their effective first-order nature. However, they often require inner-loop iterations to solve the lower-level (LL) problem and small…

最优化与控制 · 数学 2025-11-24 Liuyuan Jiang , Quan Xiao , Lisha Chen , Tianyi Chen

We propose a new neural network based method for solving inverse problems for partial differential equations (PDEs) by formulating the PDE inverse problem as a bilevel optimization problem. At the upper level, we minimize the data loss with…

机器学习 · 计算机科学 2026-01-08 Ray Zirui Zhang , Christopher E. Miles , Xiaohui Xie , John S. Lowengrub

For the performance degradation problem of broad learning system (BLS) in non-Gaussian noise environment, the variant of BLS based on M-estimator shows good robust performance. However, in most cases, the determination of the optimal loss…

信号处理 · 电气工程与系统科学 2026-05-25 Haiquan Zhao , Jinhui Hu , Xin Lua

Multi-task learning (MTL) considers learning a joint model for multiple tasks by optimizing a convex combination of all task losses. To solve the optimization problem, existing methods use an adaptive weight updating scheme, where task…

机器学习 · 计算机科学 2024-07-22 Yifei He , Shiji Zhou , Guojun Zhang , Hyokun Yun , Yi Xu , Belinda Zeng , Trishul Chilimbi , Han Zhao

High-dimensional prediction with multiple data types needs to account for potentially strong differences in predictive signal. Ridge regression is a simple model for high-dimensional data that has challenged the predictive performance of…

统计方法学 · 统计学 2021-04-02 Mark A. van de Wiel , Mirrelijn M. van Nee , Armin Rauschenberger

The bridge regression estimator generalizes both ridge regression and LASSO estimators. Since it minimizes the sum of squared residuals with a $L_{\gamma }$ penalty, this estimator is typically not robust against outliers in the data. There…

统计方法学 · 统计学 2015-11-26 Olcay Arslan

We propose the AdaPtive Noise Augmentation (PANDA) procedure to regularize the estimation and inference of generalized linear models (GLMs). PANDA iteratively optimizes the objective function given noise augmented data until convergence to…

机器学习 · 统计学 2022-04-20 Yinan Li , Fang Liu

In a data stream environment, classification models must handle concept drift efficiently and effectively. Ensemble methods are widely used for this purpose; however, the ones available in the literature either use a large data chunk to…

机器学习 · 计算机科学 2023-03-15 Sepehr Bakhshi , Pouya Ghahramanian , Hamed Bonab , Fazli Can

Multi-view learning improves the learning performance by utilizing multi-view data: data collected from multiple sources, or feature sets extracted from the same data source. This approach is suitable for primate brain state decoding using…

神经元与认知 · 定量生物学 2020-07-06 Zhenhua Shi , Xiaomo Chen , Changming Zhao , He He , Veit Stuphorn , Dongrui Wu

Effective data selection is essential for pretraining large language models (LLMs), enhancing efficiency and improving generalization to downstream tasks. However, existing approaches often require leveraging external pretrained models,…

机器学习 · 计算机科学 2026-02-04 Jie Hao , Rui Yu , Wei Zhang , Huixia Wang , Jie Xu , Mingrui Liu

In this paper, we introduce LLMBridge, a new LLM based system for the task of end-to-end referential bridging resolution in English. Our bridging resolution pipeline combines heuristic pre/post-processing with the natural language inference…

计算与语言 · 计算机科学 2026-05-29 Lauren Levine , Amir Zeldes