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Deep learning empirically achieves high performance in many applications, but its training dynamics has not been fully understood theoretically. In this paper, we explore theoretical analysis on training two-layer ReLU neural networks in a…

Machine Learning · Statistics 2021-06-30 Shunta Akiyama , Taiji Suzuki

Gradient-based meta-learning algorithms have gained popularity for their ability to train models on new tasks using limited data. Empirical observations indicate that such algorithms are able to learn a shared representation across tasks,…

Machine Learning · Computer Science 2025-01-09 Hui Wang , Cho Tung Yip , Bo Li

To reduce the overwhelming size of Deep Neural Networks (DNN) teacher-student methodology tries to transfer knowledge from a complex teacher network to a simple student network. We instead propose a novel method called the teacher-class…

Machine Learning · Computer Science 2021-11-02 Shaiq Munir Malik , Muhammad Umair Haider , Mohbat Tharani , Musab Rasheed , Murtaza Taj

Over-parametrized deep neural networks trained by stochastic gradient descent are successful in performing many tasks of practical relevance. One aspect of over-parametrization is the possibility that the student network has a larger…

Disordered Systems and Neural Networks · Physics 2022-06-01 Frederieke Richert , Roman Worschech , Bernd Rosenow

When a computational system continuously learns from an ever-changing environment, it rapidly forgets its past experiences. This phenomenon is called catastrophic forgetting. While a line of studies has been proposed with respect to…

Machine Learning · Statistics 2021-09-15 Haruka Asanuma , Shiro Takagi , Yoshihiro Nagano , Yuki Yoshida , Yasuhiko Igarashi , Masato Okada

While deep learning has outperformed other methods for various tasks, theoretical frameworks that explain its reason have not been fully established. To address this issue, we investigate the excess risk of two-layer ReLU neural networks in…

Machine Learning · Statistics 2022-06-07 Shunta Akiyama , Taiji Suzuki

Recently, segmentation neural networks have been significantly improved by demonstrating very promising accuracies on public benchmarks. However, these models are very heavy and generally suffer from low inference speed, which limits their…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Jiafeng Xie , Bing Shuai , Jian-Fang Hu , Jingyang Lin , Wei-Shi Zheng

We focus on the problem of training a deep neural network in generations. The flowchart is that, in order to optimize the target network (student), another network (teacher) with the same architecture is first trained, and used to provide…

Computer Vision and Pattern Recognition · Computer Science 2018-09-10 Chenglin Yang , Lingxi Xie , Siyuan Qiao , Alan Yuille

Transformers demonstrate significant advantages as the building block of modern LLMs. In this work, we study the capacities of Transformers in performing unsupervised learning. We show that multi-layered Transformers, given a sufficiently…

Machine Learning · Statistics 2025-01-14 Yihan He , Yuan Cao , Hong-Yu Chen , Dennis Wu , Jianqing Fan , Han Liu

Deep neural networks are widely used prediction algorithms whose performance often improves as the number of weights increases, leading to over-parametrization. We consider a two-layered neural network whose first layer is frozen while the…

Machine Learning · Computer Science 2023-04-10 Roman Worschech , Bernd Rosenow

We propose a novel knowledge distillation approach to facilitate the transfer of dark knowledge from a teacher to a student. Contrary to most of the existing methods that rely on effective training of student models given pretrained…

Machine Learning · Computer Science 2022-01-25 Dae Young Park , Moon-Hyun Cha , Changwook Jeong , Dae Sin Kim , Bohyung Han

Deep convolutional neural networks have been widely used in numerous applications, but their demanding storage and computational resource requirements prevent their applications on mobile devices. Knowledge distillation aims to optimize a…

Machine Learning · Computer Science 2018-12-18 Hanting Chen , Yunhe Wang , Chang Xu , Chao Xu , Dacheng Tao

While depth tends to improve network performances, it also makes gradient-based training more difficult since deeper networks tend to be more non-linear. The recently proposed knowledge distillation approach is aimed at obtaining small and…

Machine Learning · Computer Science 2015-03-30 Adriana Romero , Nicolas Ballas , Samira Ebrahimi Kahou , Antoine Chassang , Carlo Gatta , Yoshua Bengio

Knowledge transfer is shown to be a very successful technique for training neural classifiers: together with the ground truth data, it uses the "privileged information" (PI) obtained by a "teacher" network to train a "student" network. It…

Machine Learning · Computer Science 2023-02-03 Arman Rahbar , Ashkan Panahi , Chiranjib Bhattacharyya , Devdatt Dubhashi , Morteza Haghir Chehreghani

We consider a class of a nested optimization problems involving inner and outer objectives. We observe that by taking into explicit account the optimization dynamics for the inner objective it is possible to derive a general framework that…

Machine Learning · Statistics 2019-08-22 Luca Franceschi , Michele Donini , Paolo Frasconi , Massimiliano Pontil

Transfer learning and knowledge distillation has recently gained a lot of attention in the deep learning community. One transfer approach, the student-teacher learning, has been shown to successfully create ``small'' student neural networks…

Machine Learning · Computer Science 2026-03-27 Man-Ling Sung , Jan Silovsky , Man-Hung Siu , Herbert Gish , Chinnu Pittapally

Lack of performance when it comes to continual learning over non-stationary distributions of data remains a major challenge in scaling neural network learning to more human realistic settings. In this work we propose a new conceptualization…

Machine Learning · Computer Science 2019-05-06 Matthew Riemer , Ignacio Cases , Robert Ajemian , Miao Liu , Irina Rish , Yuhai Tu , Gerald Tesauro

Continual learning-the ability to learn many tasks in sequence-is critical for artificial learning systems. Yet standard training methods for deep networks often suffer from catastrophic forgetting, where learning new tasks erases knowledge…

Machine Learning · Statistics 2021-07-12 Sebastian Lee , Sebastian Goldt , Andrew Saxe

Knowledge Distillation (KD) has emerged as a powerful technique for model compression, enabling lightweight student networks to benefit from the performance of redundant teacher networks. However, the inherent capacity gap often limits the…

Machine Learning · Computer Science 2026-02-12 Yiyun Zhou , Jingwei Shi , Mingjing Xu , Zhonghua Jiang , Jingyuan Chen

We introduce a powerful student-teacher framework for the challenging problem of unsupervised anomaly detection and pixel-precise anomaly segmentation in high-resolution images. Student networks are trained to regress the output of a…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Paul Bergmann , Michael Fauser , David Sattlegger , Carsten Steger
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