This paper addresses the problem of unsupervised domain adaption from theoretical and algorithmic perspectives. Existing domain adaptation theories naturally imply minimax optimization algorithms, which connect well with the domain adaptation methods based on adversarial learning. However, several disconnections still exist and form the gap between theory and algorithm. We extend previous theories (Mansour et al., 2009c;Ben-David et al., 2010) to multiclass classification in domain adaptation, where classifiers based on the scoring functions and margin loss are standard choices in algorithm design. We introduce Margin Disparity Discrepancy, a novel measurement with rigorous generalization bounds, tailored to the distribution comparison with the asymmetric margin loss, and to the minimax optimization for easier training. Our theory can be seamlessly transformed into an adversarial learning algorithm for domain adaptation, successfully bridging the gap between theory and algorithm. A series of empirical studies show that our algorithm achieves the state of the art accuracies on challenging domain adaptation tasks.

所有著名的机器学习算法构成了受监督和半监督的学习工作，只有在一个共同的假设下：培训和测试数据遵循相同的分布。当分布变化时，大多数统计模型必须从新收集的数据中重建，对于某些应用程序，这些数据可能是昂贵或无法获得的。因此，有必要开发方法，以减少在相关领域中可用的数据并在相似领域中进一步使用这些数据，从而减少需求和努力获得新的标签样品。这引起了一个新的机器学习框架，称为转移学习：一种受人类在跨任务中推断知识以更有效学习的知识能力的学习环境。尽管有大量不同的转移学习方案，但本调查的主要目的是在特定的，可以说是最受欢迎的转移学习中最受欢迎的次级领域，概述最先进的理论结果，称为域适应。在此子场中，假定数据分布在整个培训和测试数据中发生变化，而学习任务保持不变。我们提供了与域适应性问题有关的现有结果的首次最新描述，该结果涵盖了基于不同统计学习框架的学习界限。

Due to the ability of deep neural nets to learn rich representations, recent advances in unsupervised domain adaptation have focused on learning domain-invariant features that achieve a small error on the source domain. The hope is that the learnt representation, together with the hypothesis learnt from the source domain, can generalize to the target domain. In this paper, we first construct a simple counterexample showing that, contrary to common belief, the above conditions are not sufficient to guarantee successful domain adaptation. In particular, the counterexample exhibits conditional shift: the class-conditional distributions of input features change between source and target domains. To give a sufficient condition for domain adaptation, we propose a natural and interpretable generalization upper bound that explicitly takes into account the aforementioned shift. Moreover, we shed new light on the problem by proving an information-theoretic lower bound on the joint error of any domain adaptation method that attempts to learn invariant representations. Our result characterizes a fundamental tradeoff between learning invariant representations and achieving small joint error on both domains when the marginal label distributions differ from source to target. Finally, we conduct experiments on real-world datasets that corroborate our theoretical findings. We believe these insights are helpful in guiding the future design of domain adaptation and representation learning algorithms.

Domain adaptation aims at generalizing a high-performance learner on a target domain via utilizing the knowledge distilled from a source domain which has a different but related data distribution. One solution to domain adaptation is to learn domain invariant feature representations while the learned representations should also be discriminative in prediction. To learn such representations, domain adaptation frameworks usually include a domain invariant representation learning approach to measure and reduce the domain discrepancy, as well as a discriminator for classification. Inspired by Wasserstein GAN, in this paper we propose a novel approach to learn domain invariant feature representations, namely Wasserstein Distance Guided Representation Learning (WD-GRL). WDGRL utilizes a neural network, denoted by the domain critic, to estimate empirical Wasserstein distance between the source and target samples and optimizes the feature extractor network to minimize the estimated Wasserstein distance in an adversarial manner. The theoretical advantages of Wasserstein distance for domain adaptation lie in its gradient property and promising generalization bound. Empirical studies on common sentiment and image classification adaptation datasets demonstrate that our proposed WDGRL outperforms the state-of-the-art domain invariant representation learning approaches.

商业雷达传感正在获得相关性，机器学习算法构成了使该无线电技术传播到监视或医疗保健领域的关键组成部分之一。但是，雷达数据集仍然很少，并且对于所有雷达系统，环境条件或设计参数，尚无法实现概括。因此，部署启用机器学习的雷达应用程序通常需要一定程度的微调。在这项工作中，我们考虑了使用频率调制连续波进行深入学习的人类活动分类的情况下，跨雷达配置的无监督域适应的问题。为此，我们专注于理论启发的边距差异技术，该技术在计算机视觉领域已被证明是成功的。我们的实验将此技术扩展到雷达数据，使得与相同分类问题的几乎没有的监督方法达到了可比的精度。

对抗性学习策略在处理单源域适应（DA）问题时表现出显着的性能，并且最近已应用于多源DA（MDA）问题。虽然大多数现有的MDA策略依赖于多个域歧视员设置，但其对潜伏空间表示的影响已经不知识。在这里，我们采用了一种信息 - 理论方法来识别和解决MDA上多个域鉴别器的潜在不利影响：域歧视信息的解体，有限的计算可扩展性以及培训期间损失梯度的大方差。我们在信息正规化的背景下通过情况进行对抗性DA来检查上述问题。这还提供了使用单一和统一域鉴别器的理论正当理由。基于这个想法，我们实施了一种名为多源信息正规化适应网络（MIAN）的新型神经结构。大规模实验表明，尽管其结构简洁，可靠，可显着优于其他最先进的方法。

Adversarial learning has been embedded into deep networks to learn disentangled and transferable representations for domain adaptation. Existing adversarial domain adaptation methods may not effectively align different domains of multimodal distributions native in classification problems. In this paper, we present conditional adversarial domain adaptation, a principled framework that conditions the adversarial adaptation models on discriminative information conveyed in the classifier predictions. Conditional domain adversarial networks (CDANs) are designed with two novel conditioning strategies: multilinear conditioning that captures the crosscovariance between feature representations and classifier predictions to improve the discriminability, and entropy conditioning that controls the uncertainty of classifier predictions to guarantee the transferability. With theoretical guarantees and a few lines of codes, the approach has exceeded state-of-the-art results on five datasets.

Discriminative learning methods for classification perform well when training and test data are drawn from the same distribution. Often, however, we have plentiful labeled training data from a source domain but wish to learn a classifier which performs well on a target domain with a different distribution and little or no labeled training data. In this work we investigate two questions. First, under what conditions can a classifier trained from source data be expected to perform well on target data? Second, given a small amount of labeled target data, how should we combine it during training with the large amount of labeled source data to achieve the lowest target error at test time?

无监督域适应（UDA）的绝大多数现有算法都集中在以一次性的方式直接从标记的源域调整到未标记的目标域。另一方面，逐渐的域适应性（GDA）假设桥接源和目标的$（t-1）$未标记的中间域，并旨在通过利用中间的路径在目标域中提供更好的概括。在某些假设下，Kumar等人。 （2020）提出了一种简单的算法，逐渐自我训练，以及按$ e^{o（t）} \ left的顺序结合的概括（\ varepsilon_0+o \ of \ left（\ sqrt {log（log（log（t）/n log（t）/n） } \ right）\ right）$对于目标域错误，其中$ \ varepsilon_0 $是源域错误，$ n $是每个域的数据大小。由于指数因素，当$ t $仅适中时，该上限变得空虚。在这项工作中，我们在更一般和放松的假设下分析了逐步的自我训练，并证明概括为$ \ varepsilon_0 + o \ left（t \ delta + t/\ sqrt {n} {n} \ right） + \ widetilde { o} \ left（1/\ sqrt {nt} \ right）$，其中$ \ delta $是连续域之间的平均分配距离。与对$ t $作为乘法因素的指数依赖性的现有界限相比，我们的界限仅取决于$ t $线性和添加性。也许更有趣的是，我们的结果意味着存在最佳的$ t $的最佳选择，从而最大程度地减少了概括性错误，并且自然也暗示了一种构造中间域路径的最佳方法，以最大程度地减少累积路径长度$ t \ delta源和目标之间的$。为了证实我们理论的含义，我们检查了对多个半合成和真实数据集的逐步自我训练，这证实了我们的发现。我们相信我们的见解为未来GDA算法设计的途径提供了前进的途径。

Unsupervised domain adaptation (UDA) aims to transfer knowledge from a well-labeled source domain to a different but related unlabeled target domain with identical label space. Currently, the main workhorse for solving UDA is domain alignment, which has proven successful. However, it is often difficult to find an appropriate source domain with identical label space. A more practical scenario is so-called partial domain adaptation (PDA) in which the source label set or space subsumes the target one. Unfortunately, in PDA, due to the existence of the irrelevant categories in the source domain, it is quite hard to obtain a perfect alignment, thus resulting in mode collapse and negative transfer. Although several efforts have been made by down-weighting the irrelevant source categories, the strategies used tend to be burdensome and risky since exactly which irrelevant categories are unknown. These challenges motivate us to find a relatively simpler alternative to solve PDA. To achieve this, we first provide a thorough theoretical analysis, which illustrates that the target risk is bounded by both model smoothness and between-domain discrepancy. Considering the difficulty of perfect alignment in solving PDA, we turn to focus on the model smoothness while discard the riskier domain alignment to enhance the adaptability of the model. Specifically, we instantiate the model smoothness as a quite simple intra-domain structure preserving (IDSP). To our best knowledge, this is the first naive attempt to address the PDA without domain alignment. Finally, our empirical results on multiple benchmark datasets demonstrate that IDSP is not only superior to the PDA SOTAs by a significant margin on some benchmarks (e.g., +10% on Cl->Rw and +8% on Ar->Rw ), but also complementary to domain alignment in the standard UDA

分发概括是将模型从实验室转移到现实世界时的关键挑战之一。现有努力主要侧重于源和目标域之间建立不变的功能。基于不变的功能，源域上的高性能分类可以在目标域上同样良好。换句话说，不变的功能是\ emph {transcorable}。然而，在实践中，没有完全可转换的功能，并且一些算法似乎学习比其他算法更学习“更可转移”的特征。我们如何理解和量化此类\ EMPH {可转录性}？在本文中，我们正式定义了一种可以量化和计算域泛化的可转换性。我们指出了与域之间的常见差异措施的差异和连接，例如总变化和Wassersein距离。然后，我们证明我们可以使用足够的样本估计我们的可转换性，并根据我们的可转移提供目标误差的新上限。经验上，我们评估现有算法学习的特征嵌入的可转换性，以获得域泛化。令人惊讶的是，我们发现许多算法并不完全学习可转让的功能，尽管很少有人仍然可以生存。鉴于此，我们提出了一种用于学习可转移功能的新算法，并在各种基准数据集中测试，包括RotationMnist，PACS，Office和Wilds-FMOW。实验结果表明，该算法在许多最先进的算法上实现了一致的改进，证实了我们的理论发现。

虽然在许多域内生成并提供了大量的未标记数据，但对视觉数据的自动理解的需求高于以往任何时候。大多数现有机器学习模型通常依赖于大量标记的训练数据来实现高性能。不幸的是，在现实世界的应用中，不能满足这种要求。标签的数量有限，手动注释数据昂贵且耗时。通常需要将知识从现有标记域传输到新域。但是，模型性能因域之间的差异（域移位或数据集偏差）而劣化。为了克服注释的负担，域适应（DA）旨在在将知识从一个域转移到另一个类似但不同的域中时减轻域移位问题。无监督的DA（UDA）处理标记的源域和未标记的目标域。 UDA的主要目标是减少标记的源数据和未标记的目标数据之间的域差异，并在培训期间在两个域中学习域不变的表示。在本文中，我们首先定义UDA问题。其次，我们从传统方法和基于深度学习的方法中概述了不同类别的UDA的最先进的方法。最后，我们收集常用的基准数据集和UDA最先进方法的报告结果对视觉识别问题。

虽然无监督的域适应（UDA）算法，即，近年来只有来自源域的标记数据，大多数算法和理论结果侧重于单源无监督域适应（SUDA）。然而，在实际情况下，标记的数据通常可以从多个不同的源收集，并且它们可能不仅不同于目标域而且彼此不同。因此，来自多个源的域适配器不应以相同的方式进行建模。最近基于深度学习的多源无监督域适应（Muda）算法专注于通过在通用特征空间中的所有源极和目标域的分布对齐来提取所有域的公共域不变表示。但是，往往很难提取Muda中所有域的相同域不变表示。此外，这些方法匹配分布而不考虑类之间的域特定的决策边界。为了解决这些问题，我们提出了一个新的框架，具有两个对准阶段的Muda，它不仅将每对源和目标域的分布对齐，而且还通过利用域特定的分类器的输出对准决策边界。广泛的实验表明，我们的方法可以对图像分类的流行基准数据集实现显着的结果。

Discriminative learning methods for classification perform well when training and test data are drawn from the same distribution. In many situations, though, we have labeled training data for a source domain, and we wish to learn a classifier which performs well on a target domain with a different distribution. Under what conditions can we adapt a classifier trained on the source domain for use in the target domain? Intuitively, a good feature representation is a crucial factor in the success of domain adaptation. We formalize this intuition theoretically with a generalization bound for domain adaption. Our theory illustrates the tradeoffs inherent in designing a representation for domain adaptation and gives a new justification for a recently proposed model. It also points toward a promising new model for domain adaptation: one which explicitly minimizes the difference between the source and target domains, while at the same time maximizing the margin of the training set. This situation arises often in machine learning. For example, we might want to adapt for a new user (the target domain) a spam filter trained on the email of a group of previous users (the source domain), under the assumption that users generally agree on what is spam and what is not. Then, the challenge is that the distributions of emails for the first set of users and for the new user are different. Intuitively, one might expect that the closer the two distributions are, the better the filter trained on the source domain will do on the target domain.

Top-performing deep architectures are trained on massive amounts of labeled data. In the absence of labeled data for a certain task, domain adaptation often provides an attractive option given that labeled data of similar nature but from a different domain (e.g. synthetic images) are available. Here, we propose a new approach to domain adaptation in deep architectures that can be trained on large amount of labeled data from the source domain and large amount of unlabeled data from the target domain (no labeled targetdomain data is necessary).As the training progresses, the approach promotes the emergence of "deep" features that are (i) discriminative for the main learning task on the source domain and (ii) invariant with respect to the shift between the domains. We show that this adaptation behaviour can be achieved in almost any feed-forward model by augmenting it with few standard layers and a simple new gradient reversal layer. The resulting augmented architecture can be trained using standard backpropagation.Overall, the approach can be implemented with little effort using any of the deep-learning packages. The method performs very well in a series of image classification experiments, achieving adaptation effect in the presence of big domain shifts and outperforming previous state-ofthe-art on Office datasets.

We introduce a new representation learning approach for domain adaptation, in which data at training and test time come from similar but different distributions. Our approach is directly inspired by the theory on domain adaptation suggesting that, for effective domain transfer to be achieved, predictions must be made based on features that cannot discriminate between the training (source) and test (target) domains.The approach implements this idea in the context of neural network architectures that are trained on labeled data from the source domain and unlabeled data from the target domain (no labeled target-domain data is necessary). As the training progresses, the approach promotes the emergence of features that are (i) discriminative for the main learning task on the source domain and (ii) indiscriminate with respect to the shift between the domains. We show that this adaptation behaviour can be achieved in almost any feed-forward model by augmenting it with few standard layers and a new gradient reversal layer. The resulting augmented architecture can be trained using standard backpropagation and stochastic gradient descent, and can thus be implemented with little effort using any of the deep learning packages.We demonstrate the success of our approach for two distinct classification problems (document sentiment analysis and image classification), where state-of-the-art domain adaptation performance on standard benchmarks is achieved. We also validate the approach for descriptor learning task in the context of person re-identification application.

Conventional unsupervised domain adaptation (UDA) assumes that training data are sampled from a single domain. This neglects the more practical scenario where training data are collected from multiple sources, requiring multi-source domain adaptation. We make three major contributions towards addressing this problem. First, we collect and annotate by far the largest UDA dataset, called DomainNet, which contains six domains and about 0.6 million images distributed among 345 categories, addressing the gap in data availability for multi-source UDA research. Second, we propose a new deep learning approach, Moment Matching for Multi-Source Domain Adaptation (M 3 SDA), which aims to transfer knowledge learned from multiple labeled source domains to an unlabeled target domain by dynamically aligning moments of their feature distributions. Third, we provide new theoretical insights specifically for moment matching approaches in both single and multiple source domain adaptation. Extensive experiments are conducted to demonstrate the power of our new dataset in benchmarking state-of-the-art multi-source domain adaptation methods, as well as the advantage of our proposed model. Dataset and Code are available at http://ai.bu.edu/M3SDA/

机器学习系统通常假设训练和测试分布是相同的。为此，关键要求是开发可以概括到未经看不见的分布的模型。领域泛化（DG），即分销概括，近年来引起了越来越令人利益。域概括处理了一个具有挑战性的设置，其中给出了一个或几个不同但相关域，并且目标是学习可以概括到看不见的测试域的模型。多年来，域概括地区已经取得了巨大进展。本文提出了对该地区最近进步的首次审查。首先，我们提供了域泛化的正式定义，并讨论了几个相关领域。然后，我们彻底审查了与域泛化相关的理论，并仔细分析了泛化背后的理论。我们将最近的算法分为三个类：数据操作，表示学习和学习策略，并为每个类别详细介绍几种流行的算法。第三，我们介绍常用的数据集，应用程序和我们的开放源代码库进行公平评估。最后，我们总结了现有文学，并为未来提供了一些潜在的研究主题。

域对抗训练无处不在地实现不变表示，并广泛用于各种域适应任务。近来，融合到平滑最佳的方法已显示出对分类等监督学习任务的改进的概括。在这项工作中，我们分析了增强配方对域对抗训练的影响，其目的是任务损失（例如分类，回归等）和对抗性术语的组合。我们发现，相对于（W.R.T.）任务损失融合了平滑的最小值，可以稳定对抗性训练，从而在目标域上获得更好的性能。与任务损失相反，我们的分析表明，融合到平滑的最小W.R.T.对抗损失导致目标结构域的次级概括。基于分析，我们介绍了平滑的域对抗训练（SDAT）程序，该程序有效地增强了现有域对抗方法的性能，以进行分类和对象检测任务。我们的分析还提供了对社区中亚当（Adam）对域名对抗训练的广泛使用的洞察力。

本文的目的是设计主动学习策略，从而在Lipschitz函数的假设下导致领域适应。以Mansour等人的先前作品为基础。（2009年）我们调整了源和目标分布之间的差异距离的概念，以将假设类别的最大化限制为在源域上执行准确标记的局部函数类别的最大化。我们根据Rademacher平均值和满足规律性条件的一般损失函数的局部差异来得出此类主动学习策略的概括误差界限。可以从理论界限推断出可以解决大数据集情况的实用k-媒体算法。我们的数值实验表明，在域适应性的背景下，所提出的算法与其他最先进的活跃学习技术具有竞争力，尤其是在大约十万张图像的大数据集上。