We present a unified hard-constraint framework for solving geometrically complex PDEs with neural networks, where the most commonly used Dirichlet, Neumann, and Robin boundary conditions (BCs) are considered. Specifically, we first introduce the "extra fields" from the mixed finite element method to reformulate the PDEs so as to equivalently transform the three types of BCs into linear forms. Based on the reformulation, we derive the general solutions of the BCs analytically, which are employed to construct an ansatz that automatically satisfies the BCs. With such a framework, we can train the neural networks without adding extra loss terms and thus efficiently handle geometrically complex PDEs, alleviating the unbalanced competition between the loss terms corresponding to the BCs and PDEs. We theoretically demonstrate that the "extra fields" can stabilize the training process. Experimental results on real-world geometrically complex PDEs showcase the effectiveness of our method compared with state-of-the-art baselines.

基于深度学习的方法，例如物理知识的神经网络（PINN）和DeepOnets已显示出解决PDE受约束优化（PDECO）问题的希望。但是，现有方法不足以处理对优化目标具有复杂或非线性依赖性的PDE约束。在本文中，我们提出了一个新颖的双层优化框架，以通过将目标和约束的优化解耦来解决挑战。对于内部循环优化，我们采用PINN仅解决PDE约束。对于外循环，我们通过基于隐式函数定理（IFT）使用Broyden的方法来设计一种新颖的方法，该方法对于近似高度级别而言是有效且准确的。我们进一步介绍了高度级计算的理论解释和误差分析。在多个大规模和非线性PDE约束优化问题上进行了广泛的实验表明，与强基础相比，我们的方法可实现最新的结果。

重要性采样（IS）是非政策评估中的一种流行技术，它重新赋予了重播缓冲液中轨迹的回归以提高样本效率。但是，对IS进行培训可能是不稳定的，以前试图解决此问题的尝试主要集中于分析IS的差异。在本文中，我们揭示了不稳定性与IS的重复使用偏见的新概念有关 - 由重复使用缓冲液重用进行评估和优化引起的非政策评估偏差。从理论上讲，我们证明了对当前策略的非政策评估和优化，并通过重播缓冲区的数据导致目标高估，这可能会导致错误的梯度更新并退化性能。我们进一步提供了重复使用偏差的高概率上限，并表明控制上限的一个项可以通过引入非政策算法的稳定性概念来控制重复使用偏置。基于这些分析，我们最终提出了一种新颖的偏见调查重要性抽样（BIRIS）框架以及实际算法，可以减轻重复使用偏见的负面影响。实验结果表明，我们基于BIRIS的方法可以显着提高一系列连续控制任务的样品效率。

诸如随机平滑之类的认证防御能力已显示出对$ \ ell_p $ norm边界攻击构建可靠的机器学习系统的承诺。但是，现有方法不足或无法证明对语义转换，尤其是那些没有封闭形式表达的语义转换（例如depocus Blur和像素化），这在实践中更常见，而且通常不受限制。为了填补这一空白，我们提出了广义随机平滑（GSMOOTH），这是一个统一的理论框架，可通过新颖的维度增强策略来证明对一般语义转换的鲁棒性。在GSMooth框架下，我们提出了一种可扩展的算法，该算法使用替代图像到图像网络来近似复杂的转换。替代模型为研究语义转换的属性和证明鲁棒性提供了强大的工具。几个数据集的实验结果证明了我们对多种语义转换和腐败的鲁棒性认证方法的有效性，这是替代基线无法实现的。

尽管深度神经网络在图形分析方面取得了巨大的成功，但最近的工作表明它们容易受到对抗攻击的影响。与对图像分类的对抗性攻击相比，在图形上执行对抗性攻击更具挑战性，因为图形的相邻矩阵的离散性和非差异性质。在这项工作中，我们提出了集群攻击 - 对节点分类的图形注射攻击（GIA），该攻击将假节点注入原始图中，以使某些受害者节点的图形神经网络（GNN）的性能退化，同时将其他节点视为其他节点几乎没有。我们证明，GIA问题可以等效地作为图形聚类问题。因此，可以在图形聚类的上下文中解决邻接矩阵的离散优化问题。特别是，我们建议通过对受害者漏洞度量来衡量受害者节点之间的相似性，这与受害者节点将如何受到注入的假节点的影响有关，并相应地将受害者节点群集成。我们的攻击是以实用且不明显的基于查询的黑盒方式进行的，图表上只有几个节点可以访问。理论分析和广泛的实验通过仅使用少量查询来欺骗节点分类器，证明了我们方法的有效性。

As one of the most important psychic stress reactions, micro-expressions (MEs), are spontaneous and transient facial expressions that can reveal the genuine emotions of human beings. Thus, recognizing MEs (MER) automatically is becoming increasingly crucial in the field of affective computing, and provides essential technical support in lie detection, psychological analysis and other areas. However, the lack of abundant ME data seriously restricts the development of cutting-edge data-driven MER models. Despite the recent efforts of several spontaneous ME datasets to alleviate this problem, it is still a tiny amount of work. To solve the problem of ME data hunger, we construct a dynamic spontaneous ME dataset with the largest current ME data scale, called DFME (Dynamic Facial Micro-expressions), which includes 7,526 well-labeled ME videos induced by 671 participants and annotated by more than 20 annotators throughout three years. Afterwards, we adopt four classical spatiotemporal feature learning models on DFME to perform MER experiments to objectively verify the validity of DFME dataset. In addition, we explore different solutions to the class imbalance and key-frame sequence sampling problems in dynamic MER respectively on DFME, so as to provide a valuable reference for future research. The comprehensive experimental results show that our DFME dataset can facilitate the research of automatic MER, and provide a new benchmark for MER. DFME will be published via https://mea-lab-421.github.io.

Face Anti-spoofing (FAS) is essential to secure face recognition systems from various physical attacks. However, recent research generally focuses on short-distance applications (i.e., phone unlocking) while lacking consideration of long-distance scenes (i.e., surveillance security checks). In order to promote relevant research and fill this gap in the community, we collect a large-scale Surveillance High-Fidelity Mask (SuHiFiMask) dataset captured under 40 surveillance scenes, which has 101 subjects from different age groups with 232 3D attacks (high-fidelity masks), 200 2D attacks (posters, portraits, and screens), and 2 adversarial attacks. In this scene, low image resolution and noise interference are new challenges faced in surveillance FAS. Together with the SuHiFiMask dataset, we propose a Contrastive Quality-Invariance Learning (CQIL) network to alleviate the performance degradation caused by image quality from three aspects: (1) An Image Quality Variable module (IQV) is introduced to recover image information associated with discrimination by combining the super-resolution network. (2) Using generated sample pairs to simulate quality variance distributions to help contrastive learning strategies obtain robust feature representation under quality variation. (3) A Separate Quality Network (SQN) is designed to learn discriminative features independent of image quality. Finally, a large number of experiments verify the quality of the SuHiFiMask dataset and the superiority of the proposed CQIL.

Image Virtual try-on aims at replacing the cloth on a personal image with a garment image (in-shop clothes), which has attracted increasing attention from the multimedia and computer vision communities. Prior methods successfully preserve the character of clothing images, however, occlusion remains a pernicious effect for realistic virtual try-on. In this work, we first present a comprehensive analysis of the occlusions and categorize them into two aspects: i) Inherent-Occlusion: the ghost of the former cloth still exists in the try-on image; ii) Acquired-Occlusion: the target cloth warps to the unreasonable body part. Based on the in-depth analysis, we find that the occlusions can be simulated by a novel semantically-guided mixup module, which can generate semantic-specific occluded images that work together with the try-on images to facilitate training a de-occlusion try-on (DOC-VTON) framework. Specifically, DOC-VTON first conducts a sharpened semantic parsing on the try-on person. Aided by semantics guidance and pose prior, various complexities of texture are selectively blending with human parts in a copy-and-paste manner. Then, the Generative Module (GM) is utilized to take charge of synthesizing the final try-on image and learning to de-occlusion jointly. In comparison to the state-of-the-art methods, DOC-VTON achieves better perceptual quality by reducing occlusion effects.

This work focuses on unsupervised representation learning in person re-identification (ReID). Recent self-supervised contrastive learning methods learn invariance by maximizing the representation similarity between two augmented views of a same image. However, traditional data augmentation may bring to the fore undesirable distortions on identity features, which is not always favorable in id-sensitive ReID tasks. In this paper, we propose to replace traditional data augmentation with a generative adversarial network (GAN) that is targeted to generate augmented views for contrastive learning. A 3D mesh guided person image generator is proposed to disentangle a person image into id-related and id-unrelated features. Deviating from previous GAN-based ReID methods that only work in id-unrelated space (pose and camera style), we conduct GAN-based augmentation on both id-unrelated and id-related features. We further propose specific contrastive losses to help our network learn invariance from id-unrelated and id-related augmentations. By jointly training the generative and the contrastive modules, our method achieves new state-of-the-art unsupervised person ReID performance on mainstream large-scale benchmarks.

Due to their ability to offer more comprehensive information than data from a single view, multi-view (multi-source, multi-modal, multi-perspective, etc.) data are being used more frequently in remote sensing tasks. However, as the number of views grows, the issue of data quality becomes more apparent, limiting the potential benefits of multi-view data. Although recent deep neural network (DNN) based models can learn the weight of data adaptively, a lack of research on explicitly quantifying the data quality of each view when fusing them renders these models inexplicable, performing unsatisfactorily and inflexible in downstream remote sensing tasks. To fill this gap, in this paper, evidential deep learning is introduced to the task of aerial-ground dual-view remote sensing scene classification to model the credibility of each view. Specifically, the theory of evidence is used to calculate an uncertainty value which describes the decision-making risk of each view. Based on this uncertainty, a novel decision-level fusion strategy is proposed to ensure that the view with lower risk obtains more weight, making the classification more credible. On two well-known, publicly available datasets of aerial-ground dual-view remote sensing images, the proposed approach achieves state-of-the-art results, demonstrating its effectiveness. The code and datasets of this article are available at the following address: https://github.com/gaopiaoliang/Evidential.