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How can local-search methods such as stochastic gradient descent (SGD) avoid bad local minima in training multi-layer neural networks? Why can they fit random labels even given non-convex and non-smooth architectures? Most existing theory…

Machine Learning · Computer Science 2019-05-28 Zeyuan Allen-Zhu , Yuanzhi Li , Zhao Song

This study explores the number of neurons required for a Rectified Linear Unit (ReLU) neural network to approximate multivariate monomials. We establish an exponential lower bound on the complexity of any shallow network approximating the…

Machine Learning · Computer Science 2023-05-17 Itai Shapira

Pseudo-labeling is a crucial technique in semi-supervised learning (SSL), where artificial labels are generated for unlabeled data by a trained model, allowing for the simultaneous training of labeled and unlabeled data in a supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Khanh-Binh Nguyen , Joon-Sung Yang

We present SelfPrompt, a novel prompt-tuning approach for vision-language models (VLMs) in a semi-supervised learning setup. Existing methods for tuning VLMs in semi-supervised setups struggle with the negative impact of the miscalibrated…

Computer Vision and Pattern Recognition · Computer Science 2025-01-30 Shuvendu Roy , Ali Etemad

We contribute to a better understanding of the class of functions that can be represented by a neural network with ReLU activations and a given architecture. Using techniques from mixed-integer optimization, polyhedral theory, and tropical…

Machine Learning · Computer Science 2024-07-18 Christoph Hertrich , Amitabh Basu , Marco Di Summa , Martin Skutella

Semi-supervised learning (SSL) addresses the lack of labeled data by exploiting large unlabeled data through pseudolabeling. However, in the extremely low-label regime, pseudo labels could be incorrect, a.k.a. the confirmation bias, and the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-09 Xun Xu , Jingyi Liao , Lile Cai , Manh Cuong Nguyen , Kangkang Lu , Wanyue Zhang , Yasin Yazici , Chuan Sheng Foo

In this paper, we develop an alternating direction method of multipliers (ADMM) for deep neural networks training with sigmoid-type activation functions (called \textit{sigmoid-ADMM pair}), mainly motivated by the gradient-free nature of…

Machine Learning · Computer Science 2021-09-16 Jinshan Zeng , Shao-Bo Lin , Yuan Yao , Ding-Xuan Zhou

Remote sensing data is crucial for applications ranging from monitoring forest fires and deforestation to tracking urbanization. Most of these tasks require dense pixel-level annotations for the model to parse visual information from…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 Shasvat Desai , Debasmita Ghose

Semi-supervised referring expression segmentation (SS-RES) aims to achieve precise pixel-level language grounding under limited annotation, yet suffers from limited supervision and unreliable pseudo-labels when exploiting unlabeled…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Runlong Cao , Ying Zang , Chuanwei Zhou , Tianrun Chen , Tong Zhang , Zhen Cui , Chunyan Xu

Semi-supervised learning is a challenging problem which aims to construct a model by learning from limited labeled examples. Numerous methods for this task focus on utilizing the predictions of unlabeled instances consistency alone to…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Peng Tu , Yawen Huang , Feng Zheng , Zhenyu He , Liujun Cao , Ling Shao

This paper studies semi-supervised learning of semantic segmentation, which assumes that only a small portion of training images are labeled and the others remain unlabeled. The unlabeled images are usually assigned pseudo labels to be used…

Computer Vision and Pattern Recognition · Computer Science 2022-06-02 Donghyeon Kwon , Suha Kwak

ReLU, a commonly used activation function in deep neural networks, is prone to the issue of "Dying ReLU". Several enhanced versions, such as ELU, SeLU, and Swish, have been introduced and are considered to be less commonly utilized.…

Machine Learning · Computer Science 2024-07-12 Jamshaid Ul Rahman , Rubiqa Zulfiqar , Asad Khan , Nimra

Self-training is a simple yet effective method within semi-supervised learning. The idea is to iteratively enhance training data by adding pseudo-labeled data. Its generalization performance heavily depends on the selection of these…

Machine Learning · Statistics 2023-03-03 Julian Rodemann , Christoph Jansen , Georg Schollmeyer , Thomas Augustin

Semi-supervised learning, i.e. jointly learning from labeled and unlabeled samples, is an active research topic due to its key role on relaxing human supervision. In the context of image classification, recent advances to learn from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

Lipschitz-constrained neural networks have several advantages over unconstrained ones and can be applied to a variety of problems, making them a topic of attention in the deep learning community. Unfortunately, it has been shown both…

Machine Learning · Computer Science 2023-12-20 Stanislas Ducotterd , Alexis Goujon , Pakshal Bohra , Dimitris Perdios , Sebastian Neumayer , Michael Unser

Most recent semi-supervised deep learning (deep SSL) methods used a similar paradigm: use network predictions to update pseudo-labels and use pseudo-labels to update network parameters iteratively. However, they lack theoretical support and…

Computer Vision and Pattern Recognition · Computer Science 2019-11-28 Guo-Hua Wang , Jianxin Wu

Despite the remarkable performance of supervised medical image segmentation models, relying on a large amount of labeled data is impractical in real-world situations. Semi-supervised learning approaches aim to alleviate this challenge using…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Yunyao Lu , Yihang Wu , Ahmad Chaddad , Tareef Daqqaq , Reem Kateb

Semi-supervised semantic segmentation methods leverage unlabeled data by pseudo-labeling them. Thus the success of these methods hinges on the reliablility of the pseudo-labels. Existing methods mostly choose high-confidence pixels in an…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Prantik Howlader , Hieu Le , Dimitris Samaras

In this paper, we have extended the well-established universal approximator theory to neural networks that use the unbounded ReLU activation function and a nonlinear softmax output layer. We have proved that a sufficiently large neural…

Machine Learning · Computer Science 2020-02-12 Behnam Asadi , Hui Jiang

Transformers have found extensive applications across various domains due to the powerful fitting capabilities. This success can be partially attributed to their inherent nonlinearity. Thus, in addition to the ReLU function employed in the…

Computation and Language · Computer Science 2025-03-21 Zhijian Zhuo , Ya Wang , Yutao Zeng , Xiaoqing Li , Xun Zhou , Jinwen Ma
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