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In binary classification and regression problems, it is well understood that Lipschitz continuity and smoothness of the loss function play key roles in governing generalization error bounds for empirical risk minimization algorithms. In…

Machine Learning · Computer Science 2016-09-14 Ambuj Tewari , Sougata Chaudhuri

Optimization problems arising in data science have given rise to a number of new derivative-based optimization methods. Such methods often use standard smoothness assumptions -- namely, global Lipschitz continuity of the gradient function…

Optimization and Control · Mathematics 2024-04-16 Christian Varner , Vivak Patel

Accurate forecasting of multivariate time series data is important in many engineering and scientific applications. Recent state-of-the-art works ignore the inter-relations between variates, using their model on each variate independently.…

Machine Learning · Computer Science 2025-03-18 Liran Nochumsohn , Hedi Zisling , Omri Azencot

The success of deep learning relies on the availability of large-scale annotated data sets, the acquisition of which can be costly, requiring expert domain knowledge. Semi-supervised learning (SSL) mitigates this challenge by exploiting the…

Machine Learning · Computer Science 2020-09-25 Prashnna Kumar Gyawali , Sandesh Ghimire , Linwei Wang

Typical adversarial-training-based unsupervised domain adaptation methods are vulnerable when the source and target datasets are highly-complex or exhibit a large discrepancy between their data distributions. Recently, several…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Guanyu Cai , Lianghua He , Mengchu Zhou , Hesham Alhumade , Die Hu

Smoothness and low dimensional structures play central roles in improving generalization and stability in learning and statistics. This work combines techniques from semi-infinite constrained learning and manifold regularization to learn…

Machine Learning · Computer Science 2023-02-03 Juan Cervino , Luiz F. O. Chamon , Benjamin D. Haeffele , Rene Vidal , Alejandro Ribeiro

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

Machine Learning · Statistics 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

Multi-task learning (MTL) is a supervised learning paradigm in which the prediction models for several related tasks are learned jointly to achieve better generalization performance. When there are only a few training examples per task, MTL…

Machine Learning · Computer Science 2017-06-07 Azad Naik , Anveshi Charuvaka , Huzefa Rangwala

MTL is a learning paradigm that effectively leverages both task-specific and shared information to address multiple related tasks simultaneously. In contrast to STL, MTL offers a suite of benefits that enhance both the training process and…

Multi-task learning (MTL) trains deep neural networks to optimize several objectives simultaneously using a shared backbone, which leads to reduced computational costs, improved data efficiency, and enhanced performance through cross-task…

Machine Learning · Computer Science 2025-09-30 Hoang Phan , Lam Tran , Quyen Tran , Ngoc N. Tran , Tuan Truong , Qi Lei , Nhat Ho , Dinh Phung , Trung Le

Rehearsal approaches enjoy immense popularity with Continual Learning (CL) practitioners. These methods collect samples from previously encountered data distributions in a small memory buffer; subsequently, they repeatedly optimize on the…

Machine Learning · Computer Science 2022-10-18 Lorenzo Bonicelli , Matteo Boschini , Angelo Porrello , Concetto Spampinato , Simone Calderara

Probabilistic mixture models have been widely used for different machine learning and pattern recognition tasks such as clustering, dimensionality reduction, and classification. In this paper, we focus on trying to solve the most common…

Machine Learning · Computer Science 2020-04-08 Gustavo A Valencia-Zapata , Daniel Mejia , Gerhard Klimeck , Michael Zentner , Okan Ersoy

Multi-task learning (MTL) aims to improve estimation and prediction performance by sharing common information among related tasks. One natural assumption in MTL is that tasks are classified into clusters based on their characteristics.…

Methodology · Statistics 2024-05-28 Akira Okazaki , Shuichi Kawano

Randomized smoothing is a widely adopted technique for optimizing nonsmooth objective functions. However, its efficiency analysis typically relies on global Lipschitz continuity, a condition rarely met in practical applications. To address…

Optimization and Control · Mathematics 2025-09-10 Jingfan Xia , Zhenwei Lin , Qi Deng

In this paper, we propose a novel multi-task learning (MTL) framework, called Self-Paced Multi-Task Learning (SPMTL). Different from previous works treating all tasks and instances equally when training, SPMTL attempts to jointly learn the…

Machine Learning · Computer Science 2017-04-04 Changsheng Li , Junchi Yan , Fan Wei , Weishan Dong , Qingshan Liu , Hongyuan Zha

In order to create machine learning systems that serve a variety of users well, it is vital to not only achieve high average performance but also ensure equitable outcomes across diverse groups. However, most machine learning methods are…

Machine Learning · Computer Science 2024-03-01 Atharva Kulkarni , Lucio Dery , Amrith Setlur , Aditi Raghunathan , Ameet Talwalkar , Graham Neubig

While many approaches exist in the literature to learn low-dimensional representations for data collections in multiple modalities, the generalizability of multi-modal nonlinear embeddings to previously unseen data is a rather overlooked…

Machine Learning · Computer Science 2021-05-05 Semih Kaya , Elif Vural

Multi-Task Learning (MTL) is a powerful learning paradigm to improve generalization performance via knowledge sharing. However, existing studies find that MTL could sometimes hurt generalization, especially when two tasks are less…

Machine Learning · Computer Science 2022-11-28 Ziniu Hu , Zhe Zhao , Xinyang Yi , Tiansheng Yao , Lichan Hong , Yizhou Sun , Ed H. Chi

Multi-Task Learning (MTL) aims to learn multiple tasks simultaneously while exploiting their mutual relationships. By using shared resources to simultaneously calculate multiple outputs, this learning paradigm has the potential to have…

Machine Learning · Computer Science 2024-08-29 Maxime Fontana , Michael Spratling , Miaojing Shi

In this paper, we study data-dependent generalization error bounds exhibiting a mild dependency on the number of classes, making them suitable for multi-class learning with a large number of label classes. The bounds generally hold for…

Machine Learning · Computer Science 2018-01-01 Yunwen Lei , Urun Dogan , Ding-Xuan Zhou , Marius Kloft
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