Recent deep networks are capable of memorizing the entire data even when the labels are completely random. To overcome the overfitting on corrupted labels, we propose a novel technique of learning another neural network, called Men-torNet, to supervise the training of the base deep networks, namely, StudentNet. During training, MentorNet provides a curriculum (sample weighting scheme) for StudentNet to focus on the sample the label of which is probably correct. Unlike the existing curriculum that is usually predefined by human experts, MentorNet learns a data-driven curriculum dynamically with StudentNet. Experimental results demonstrate that our approach can significantly improve the generalization performance of deep networks trained on corrupted training data. Notably, to the best of our knowledge, we achieve the best-published result on We-bVision, a large benchmark containing 2.2 million images of real-world noisy labels. The code are at https://github.com/google/mentornet.

Current deep neural networks (DNNs) can easily overfit to biased training data with corrupted labels or class imbalance. Sample re-weighting strategy is commonly used to alleviate this issue by designing a weighting function mapping from training loss to sample weight, and then iterating between weight recalculating and classifier updating. Current approaches, however, need manually pre-specify the weighting function as well as its additional hyper-parameters. It makes them fairly hard to be generally applied in practice due to the significant variation of proper weighting schemes relying on the investigated problem and training data. To address this issue, we propose a method capable of adaptively learning an explicit weighting function directly from data. The weighting function is an MLP with one hidden layer, constituting a universal approximator to almost any continuous functions, making the method able to fit a wide range of weighting functions including those assumed in conventional research. Guided by a small amount of unbiased meta-data, the parameters of the weighting function can be finely updated simultaneously with the learning process of the classifiers. Synthetic and real experiments substantiate the capability of our method for achieving proper weighting functions in class imbalance and noisy label cases, fully complying with the common settings in traditional methods, and more complicated scenarios beyond conventional cases. This naturally leads to its better accuracy than other state-of-the-art methods. Source code is available at https://github.com/xjtushujun/meta-weight-net. * Corresponding author. 1 We call the training data biased when they are generated from a joint sample-label distribution deviating from the distribution of evaluation/test set [1].

近年来，已取得了巨大进展，以通过半监督学习（SSL）来纳入未标记的数据来克服效率低下的监督问题。大多数最先进的模型是基于对未标记的数据追求一致的模型预测的想法，该模型被称为输入噪声，这称为一致性正则化。尽管如此，对其成功的原因缺乏理论上的见解。为了弥合理论和实际结果之间的差距，我们在本文中提出了SSL的最坏情况一致性正则化技术。具体而言，我们首先提出了针对SSL的概括，该概括由分别在标记和未标记的训练数据上观察到的经验损失项组成。在这种界限的激励下，我们得出了一个SSL目标，该目标可最大程度地减少原始未标记的样本与其多重增强变体之间最大的不一致性。然后，我们提供了一种简单但有效的算法来解决提出的最小问题，从理论上证明它会收敛到固定点。五个流行基准数据集的实验验证了我们提出的方法的有效性。

Deep neural networks have been shown to be very powerful modeling tools for many supervised learning tasks involving complex input patterns. However, they can also easily overfit to training set biases and label noises. In addition to various regularizers, example reweighting algorithms are popular solutions to these problems, but they require careful tuning of additional hyperparameters, such as example mining schedules and regularization hyperparameters. In contrast to past reweighting methods, which typically consist of functions of the cost value of each example, in this work we propose a novel meta-learning algorithm that learns to assign weights to training examples based on their gradient directions. To determine the example weights, our method performs a meta gradient descent step on the current mini-batch example weights (which are initialized from zero) to minimize the loss on a clean unbiased validation set. Our proposed method can be easily implemented on any type of deep network, does not require any additional hyperparameter tuning, and achieves impressive performance on class imbalance and corrupted label problems where only a small amount of clean validation data is available.

In this paper, we present a simple yet effective method (ABSGD) for addressing the data imbalance issue in deep learning. Our method is a simple modification to momentum SGD where we leverage an attentional mechanism to assign an individual importance weight to each gradient in the mini-batch. Unlike many existing heuristic-driven methods for tackling data imbalance, our method is grounded in {\it theoretically justified distributionally robust optimization (DRO)}, which is guaranteed to converge to a stationary point of an information-regularized DRO problem. The individual-level weight of a sampled data is systematically proportional to the exponential of a scaled loss value of the data, where the scaling factor is interpreted as the regularization parameter in the framework of information-regularized DRO. Compared with existing class-level weighting schemes, our method can capture the diversity between individual examples within each class. Compared with existing individual-level weighting methods using meta-learning that require three backward propagations for computing mini-batch stochastic gradients, our method is more efficient with only one backward propagation at each iteration as in standard deep learning methods. To balance between the learning of feature extraction layers and the learning of the classifier layer, we employ a two-stage method that uses SGD for pretraining followed by ABSGD for learning a robust classifier and finetuning lower layers. Our empirical studies on several benchmark datasets demonstrate the effectiveness of the proposed method.

深度学习在大量大数据的帮助下取得了众多域中的显着成功。然而，由于许多真实情景中缺乏高质量标签，数据标签的质量是一个问题。由于嘈杂的标签严重降低了深度神经网络的泛化表现，从嘈杂的标签（强大的培训）学习是在现代深度学习应用中成为一项重要任务。在本调查中，我们首先从监督的学习角度描述了与标签噪声学习的问题。接下来，我们提供62项最先进的培训方法的全面审查，所有这些培训方法都按照其方法论差异分为五个群体，其次是用于评估其优越性的六种性质的系统比较。随后，我们对噪声速率估计进行深入分析，并总结了通常使用的评估方法，包括公共噪声数据集和评估度量。最后，我们提出了几个有前途的研究方向，可以作为未来研究的指导。所有内容将在https://github.com/songhwanjun/awesome-noisy-labels提供。

最近关于使用嘈杂标签的学习的研究通过利用小型干净数据集来显示出色的性能。特别是，基于模型不可知的元学习的标签校正方法进一步提高了性能，通过纠正了嘈杂的标签。但是，标签错误矫予没有保障措施，导致不可避免的性能下降。此外，每个训练步骤都需要至少三个背部传播，显着减慢训练速度。为了缓解这些问题，我们提出了一种强大而有效的方法，可以在飞行中学习标签转换矩阵。采用转换矩阵使分类器对所有校正样本持怀疑态度，这减轻了错误的错误问题。我们还介绍了一个双头架构，以便在单个反向传播中有效地估计标签转换矩阵，使得估计的矩阵紧密地遵循由标签校正引起的移位噪声分布。广泛的实验表明，我们的方法在训练效率方面表现出比现有方法相当或更好的准确性。

In this paper, we introduced the novel concept of advisor network to address the problem of noisy labels in image classification. Deep neural networks (DNN) are prone to performance reduction and overfitting problems on training data with noisy annotations. Weighting loss methods aim to mitigate the influence of noisy labels during the training, completely removing their contribution. This discarding process prevents DNNs from learning wrong associations between images and their correct labels but reduces the amount of data used, especially when most of the samples have noisy labels. Differently, our method weighs the feature extracted directly from the classifier without altering the loss value of each data. The advisor helps to focus only on some part of the information present in mislabeled examples, allowing the classifier to leverage that data as well. We trained it with a meta-learning strategy so that it can adapt throughout the training of the main model. We tested our method on CIFAR10 and CIFAR100 with synthetic noise, and on Clothing1M which contains real-world noise, reporting state-of-the-art results.

除了使用硬标签的标准监督学习外，通常在许多监督学习设置中使用辅助损失来改善模型的概括。例如，知识蒸馏增加了第二个教师模仿模型训练的损失，在该培训中，教师可能是一个验证的模型，可以输出比标签更丰富的分布。同样，在标记数据有限的设置中，弱标记信息以标签函数的形式使用。此处引入辅助损失来对抗标签函数，这些功能可能是基于嘈杂的规则的真实标签近似值。我们解决了学习以原则性方式结合这些损失的问题。我们介绍AMAL，该AMAL使用元学习在验证度量上学习实例特定的权重，以实现损失的最佳混合。在许多知识蒸馏和规则降解域中进行的实验表明，Amal在这些领域中对竞争基准的增长可显着。我们通过经验分析我们的方法，并分享有关其提供性能提升的机制的见解。

Learning with noisy labels is one of the hottest problems in weakly-supervised learning. Based on memorization effects of deep neural networks, training on small-loss instances becomes very promising for handling noisy labels. This fosters the state-of-the-art approach "Co-teaching" that cross-trains two deep neural networks using the small-loss trick. However, with the increase of epochs, two networks converge to a consensus and Co-teaching reduces to the self-training MentorNet. To tackle this issue, we propose a robust learning paradigm called Co-teaching+, which bridges the "Update by Disagreement" strategy with the original Co-teaching. First, two networks feed forward and predict all data, but keep prediction disagreement data only. Then, among such disagreement data, each network selects its small-loss data, but back propagates the small-loss data from its peer network and updates its own parameters. Empirical results on benchmark datasets demonstrate that Co-teaching+ is much superior to many state-of-theart methods in the robustness of trained models.

Deep neural networks (DNNs) have achieved tremendous success in a variety of applications across many disciplines. Yet, their superior performance comes with the expensive cost of requiring correctly annotated large-scale datasets. Moreover, due to DNNs' rich capacity, errors in training labels can hamper performance. To combat this problem, mean absolute error (MAE) has recently been proposed as a noise-robust alternative to the commonly-used categorical cross entropy (CCE) loss. However, as we show in this paper, MAE can perform poorly with DNNs and challenging datasets. Here, we present a theoretically grounded set of noise-robust loss functions that can be seen as a generalization of MAE and CCE. Proposed loss functions can be readily applied with any existing DNN architecture and algorithm, while yielding good performance in a wide range of noisy label scenarios. We report results from experiments conducted with CIFAR-10, CIFAR-100 and FASHION-MNIST datasets and synthetically generated noisy labels.

我们提出了自适应培训 - 一种统一的培训算法，通过模型预测动态校准并增强训练过程，而不会产生额外的计算成本 - 以推进深度神经网络的监督和自我监督的学习。我们分析了培训数据的深网络培训动态，例如随机噪声和对抗例。我们的分析表明，模型预测能够在数据中放大有用的基础信息，即使在没有任何标签信息的情况下，这种现象也会发生，突出显示模型预测可能会产生培训过程：自适应培训改善了深网络的概括在噪音下，增强自我监督的代表学习。分析还阐明了解深度学习，例如，在经验风险最小化和最新的自我监督学习算法的折叠问题中对最近发现的双重现象的潜在解释。在CIFAR，STL和Imagenet数据集上的实验验证了我们在三种应用中的方法的有效性：用标签噪声，选择性分类和线性评估进行分类。为了促进未来的研究，该代码已在HTTPS://github.com/layneh/Self-Aveptive-训练中公开提供。

部分标签学习（PLL）是一个典型的弱监督学习框架，每个培训实例都与候选标签集相关联，其中只有一个标签是有效的。为了解决PLL问题，通常方法试图通过使用先验知识（例如培训数据的结构信息）或以自训练方式提炼模型输出来对候选人集进行歧义。不幸的是，由于在模型训练的早期阶段缺乏先前的信息或不可靠的预测，这些方法通常无法获得有利的性能。在本文中，我们提出了一个新的针对部分标签学习的框架，该框架具有元客观指导性的歧义（MOGD），该框架旨在通过在小验证集中求解元目标来从设置的候选标签中恢复地面真相标签。具体而言，为了减轻假阳性标签的负面影响，我们根据验证集的元损失重新权重。然后，分类器通过最大程度地减少加权交叉熵损失来训练。通过使用普通SGD优化器的各种深网络可以轻松实现所提出的方法。从理论上讲，我们证明了元目标的收敛属性，并得出了所提出方法的估计误差界限。在各种基准数据集和实际PLL数据集上进行的广泛实验表明，与最先进的方法相比，所提出的方法可以实现合理的性能。

作为标签噪声，最受欢迎的分布变化之一，严重降低了深度神经网络的概括性能，具有嘈杂标签的强大训练正在成为现代深度学习中的重要任务。在本文中，我们提出了我们的框架，在子分类器（ALASCA）上创造了自适应标签平滑，该框架提供了具有理论保证和可忽略的其他计算的可靠特征提取器。首先，我们得出标签平滑（LS）会产生隐式Lipschitz正则化（LR）。此外，基于这些推导，我们将自适应LS（ALS）应用于子分类器架构上，以在中间层上的自适应LR的实际应用。我们对ALASCA进行了广泛的实验，并将其与以前的几个数据集上的噪声燃烧方法相结合，并显示我们的框架始终优于相应的基线。

标签噪声显着降低了应用中深度模型的泛化能力。有效的策略和方法，\ Texit {例如}重新加权或损失校正，旨在在训练神经网络时缓解标签噪声的负面影响。这些现有的工作通常依赖于预指定的架构并手动调整附加的超参数。在本文中，我们提出了翘曲的概率推断（WARPI），以便在元学习情景中自适应地整理分类网络的培训程序。与确定性模型相比，WARPI通过学习摊销元网络来制定为分层概率模型，这可以解决样本模糊性，因此对严格的标签噪声更加坚固。与直接生成损耗的重量值的现有近似加权功能不同，我们的元网络被学习以估计从登录和标签的输入来估计整流向量，这具有利用躺在它们中的足够信息的能力。这提供了纠正分类网络的学习过程的有效方法，证明了泛化能力的显着提高。此外，可以将整流载体建模为潜在变量并学习元网络，可以无缝地集成到分类网络的SGD优化中。我们在嘈杂的标签上评估了四个强大学习基准的Warpi，并在变体噪声类型下实现了新的最先进的。广泛的研究和分析还展示了我们模型的有效性。

最近，与培训样本相比，具有越来越多的网络参数的过度参数深度网络主导了现代机器学习的性能。但是，当培训数据被损坏时，众所周知，过度参数化的网络往往会过度合适并且不会概括。在这项工作中，我们提出了一种有原则的方法，用于在分类任务中对过度参数的深层网络进行强有力的培训，其中一部分培训标签被损坏。主要想法还很简单：标签噪声与从干净的数据中学到的网络稀疏且不一致，因此我们对噪声进行建模并学会将其与数据分开。具体而言，我们通过另一个稀疏的过度参数术语对标签噪声进行建模，并利用隐式算法正规化来恢复和分离基础损坏。值得注意的是，当在实践中使用如此简单的方法培训时，我们证明了针对各种真实数据集上标签噪声的最新测试精度。此外，我们的实验结果通过理论在简化的线性模型上证实，表明在不连贯的条件下稀疏噪声和低级别数据之间的精确分离。这项工作打开了许多有趣的方向，可以使用稀疏的过度参数化和隐式正则化来改善过度参数化模型。

可以将监督学习视为将相关信息从输入数据中提取到特征表示形式。当监督嘈杂时，此过程变得困难，因为蒸馏信息可能无关紧要。实际上，最近的研究表明，网络可以轻松地过度贴合所有标签，包括损坏的标签，因此几乎无法概括以清洁数据集。在本文中，我们专注于使用嘈杂的标签学习的问题，并将压缩归纳偏置引入网络体系结构以减轻这种过度的问题。更确切地说，我们重新审视一个名为辍学的经典正则化及其变体嵌套辍学。辍学可以作为其功能删除机制的压缩约束，而嵌套辍学进一步学习有序的特征表示W.R.T.特征重要性。此外，具有压缩正则化的训练有素的模型与共同教学相结合，以提高性能。从理论上讲，我们在压缩正则化下对目标函数进行偏置变化分解。我们分析了单个模型和共同教学。该分解提供了三个见解：（i）表明过度合适确实是使用嘈杂标签学习的问题； （ii）通过信息瓶颈配方，它解释了为什么提出的特征压缩有助于对抗标签噪声； （iii）它通过将压缩正规化纳入共同教学而带来的性能提升提供了解释。实验表明，我们的简单方法比具有现实世界标签噪声（包括服装1M和Animal-10N）的基准测试标准的最先进方法具有可比性甚至更好的性能。我们的实施可在https://yingyichen-cyy.github.io/compressfatsfeatnoisylabels/上获得。

In today's heavily overparameterized models, the value of the training loss provides few guarantees on model generalization ability. Indeed, optimizing only the training loss value, as is commonly done, can easily lead to suboptimal model quality. Motivated by prior work connecting the geometry of the loss landscape and generalization, we introduce a novel, effective procedure for instead simultaneously minimizing loss value and loss sharpness. In particular, our procedure, Sharpness-Aware Minimization (SAM), seeks parameters that lie in neighborhoods having uniformly low loss; this formulation results in a minmax optimization problem on which gradient descent can be performed efficiently. We present empirical results showing that SAM improves model generalization across a variety of benchmark datasets (e.g., CIFAR-{10, 100}, Ima-geNet, finetuning tasks) and models, yielding novel state-of-the-art performance for several. Additionally, we find that SAM natively provides robustness to label noise on par with that provided by state-of-the-art procedures that specifically target learning with noisy labels. We open source our code at https: //github.com/google-research/sam. * Work done as part of the Google AI Residency program.

Deep learning with noisy labels is practically challenging, as the capacity of deep models is so high that they can totally memorize these noisy labels sooner or later during training. Nonetheless, recent studies on the memorization effects of deep neural networks show that they would first memorize training data of clean labels and then those of noisy labels. Therefore in this paper, we propose a new deep learning paradigm called "Co-teaching" for combating with noisy labels. Namely, we train two deep neural networks simultaneously, and let them teach each other given every mini-batch: firstly, each network feeds forward all data and selects some data of possibly clean labels; secondly, two networks communicate with each other what data in this mini-batch should be used for training; finally, each network back propagates the data selected by its peer network and updates itself. Empirical results on noisy versions of MNIST, CIFAR-10 and CIFAR-100 demonstrate that Co-teaching is much superior to the state-of-the-art methods in the robustness of trained deep models. * The first two authors (Bo Han and Quanming Yao) made equal contributions. The implementation is available at https://github.com/bhanML/Co-teaching.32nd Conference on Neural Information Processing Systems (NIPS 2018),

Deep neural networks may easily memorize noisy labels present in real-world data, which degrades their ability to generalize. It is therefore important to track and evaluate the robustness of models against noisy label memorization. We propose a metric, called susceptibility, to gauge such memorization for neural networks. Susceptibility is simple and easy to compute during training. Moreover, it does not require access to ground-truth labels and it only uses unlabeled data. We empirically show the effectiveness of our metric in tracking memorization on various architectures and datasets and provide theoretical insights into the design of the susceptibility metric. Finally, we show through extensive experiments on datasets with synthetic and real-world label noise that one can utilize susceptibility and the overall training accuracy to distinguish models that maintain a low memorization on the training set and generalize well to unseen clean data.