我们开发了一种多尺度方法，以从实验或模拟中观察到的物理字段或配置的数据集估算高维概率分布。通过这种方式，我们可以估计能量功能（或哈密顿量），并有效地在从统计物理学到宇宙学的各个领域中生成多体系统的新样本。我们的方法 - 小波条件重新归一化组（WC-RG） - 按比例进行估算，以估算由粗粒磁场来调节的“快速自由度”的条件概率的模型。这些概率分布是由与比例相互作用相关的能量函数建模的，并以正交小波为基础表示。 WC-RG将微观能量函数分解为各个尺度上的相互作用能量之和，并可以通过从粗尺度到细度来有效地生成新样品。近相变，它避免了直接估计和采样算法的“临界减速”。理论上通过结合RG和小波理论的结果来解释这一点，并为高斯和$ \ varphi^4 $字段理论进行数值验证。我们表明，多尺度WC-RG基于能量的模型比局部电位模型更通用，并且可以在所有长度尺度上捕获复杂的多体相互作用系统的物理。这是针对反映宇宙学中暗物质分布的弱透镜镜头的，其中包括与长尾概率分布的长距离相互作用。 WC-RG在非平衡系统中具有大量的潜在应用，其中未知基础分布{\ it先验}。最后，我们讨论了WC-RG和深层网络体系结构之间的联系。

Convolutional architectures have proven extremely successful for vision tasks. Their hard inductive biases enable sample-efficient learning, but come at the cost of a potentially lower performance ceiling. Vision Transformers (ViTs) rely on more flexible self-attention layers, and have recently outperformed CNNs for image classification. However, they require costly pre-training on large external datasets or distillation from pretrained convolutional networks. In this paper, we ask the following question: is it possible to combine the strengths of these two architectures while avoiding their respective limitations? To this end, we introduce gated positional self-attention (GPSA), a form of positional self-attention which can be equipped with a "soft" convolutional inductive bias. We initialize the GPSA layers to mimic the locality of convolutional layers, then give each attention head the freedom to escape locality by adjusting a gating parameter regulating the attention paid to position versus content information. The resulting convolutionallike ViT architecture, ConViT, outperforms the DeiT (Touvron et al., 2020) on ImageNet, while offering a much improved sample efficiency. We further investigate the role of locality in learning by first quantifying how it is encouraged in vanilla self-attention layers, then analyzing how it is escaped in GPSA layers. We conclude by presenting various ablations to better understand the success of the ConViT. Our code and models are released publicly at https://github.com/ facebookresearch/convit.

Graph Neural Networks (GNNs) achieve state-of-the-art performance on graph-structured data across numerous domains. Their underlying ability to represent nodes as summaries of their vicinities has proven effective for homophilous graphs in particular, in which same-type nodes tend to connect. On heterophilous graphs, in which different-type nodes are likely connected, GNNs perform less consistently, as neighborhood information might be less representative or even misleading. On the other hand, GNN performance is not inferior on all heterophilous graphs, and there is a lack of understanding of what other graph properties affect GNN performance. In this work, we highlight the limitations of the widely used homophily ratio and the recent Cross-Class Neighborhood Similarity (CCNS) metric in estimating GNN performance. To overcome these limitations, we introduce 2-hop Neighbor Class Similarity (2NCS), a new quantitative graph structural property that correlates with GNN performance more strongly and consistently than alternative metrics. 2NCS considers two-hop neighborhoods as a theoretically derived consequence of the two-step label propagation process governing GCN's training-inference process. Experiments on one synthetic and eight real-world graph datasets confirm consistent improvements over existing metrics in estimating the accuracy of GCN- and GAT-based architectures on the node classification task.

In this work, we devise robust and efficient learning protocols for orchestrating a Federated Learning (FL) process for the Federated Tumor Segmentation Challenge (FeTS 2022). Enabling FL for FeTS setup is challenging mainly due to data heterogeneity among collaborators and communication cost of training. To tackle these challenges, we propose Robust Learning Protocol (RoLePRO) which is a combination of server-side adaptive optimisation (e.g., server-side Adam) and judicious parameter (weights) aggregation schemes (e.g., adaptive weighted aggregation). RoLePRO takes a two-phase approach, where the first phase consists of vanilla Federated Averaging, while the second phase consists of a judicious aggregation scheme that uses a sophisticated reweighting, all in the presence of an adaptive optimisation algorithm at the server. We draw insights from extensive experimentation to tune learning rates for the two phases.

The study proposes and tests a technique for automated emotion recognition through mouth detection via Convolutional Neural Networks (CNN), meant to be applied for supporting people with health disorders with communication skills issues (e.g. muscle wasting, stroke, autism, or, more simply, pain) in order to recognize emotions and generate real-time feedback, or data feeding supporting systems. The software system starts the computation identifying if a face is present on the acquired image, then it looks for the mouth location and extracts the corresponding features. Both tasks are carried out using Haar Feature-based Classifiers, which guarantee fast execution and promising performance. If our previous works focused on visual micro-expressions for personalized training on a single user, this strategy aims to train the system also on generalized faces data sets.

To analyze this characteristic of vulnerability, we developed an automated deep learning method for detecting microvessels in intravascular optical coherence tomography (IVOCT) images. A total of 8,403 IVOCT image frames from 85 lesions and 37 normal segments were analyzed. Manual annotation was done using a dedicated software (OCTOPUS) previously developed by our group. Data augmentation in the polar (r,{\theta}) domain was applied to raw IVOCT images to ensure that microvessels appear at all possible angles. Pre-processing methods included guidewire/shadow detection, lumen segmentation, pixel shifting, and noise reduction. DeepLab v3+ was used to segment microvessel candidates. A bounding box on each candidate was classified as either microvessel or non-microvessel using a shallow convolutional neural network. For better classification, we used data augmentation (i.e., angle rotation) on bounding boxes with a microvessel during network training. Data augmentation and pre-processing steps improved microvessel segmentation performance significantly, yielding a method with Dice of 0.71+/-0.10 and pixel-wise sensitivity/specificity of 87.7+/-6.6%/99.8+/-0.1%. The network for classifying microvessels from candidates performed exceptionally well, with sensitivity of 99.5+/-0.3%, specificity of 98.8+/-1.0%, and accuracy of 99.1+/-0.5%. The classification step eliminated the majority of residual false positives, and the Dice coefficient increased from 0.71 to 0.73. In addition, our method produced 698 image frames with microvessels present, compared to 730 from manual analysis, representing a 4.4% difference. When compared to the manual method, the automated method improved microvessel continuity, implying improved segmentation performance. The method will be useful for research purposes as well as potential future treatment planning.

随着车身可穿戴感应技术的发展，人类活动的识别已成为一个有吸引力的研究领域。借助舒适的电子质地，传感器可以嵌入衣服中，以便可以长期记录人类运动。但是，一个长期存在的问题是如何处理通过相对于身体运动引入的运动人工制品。令人惊讶的是，最近的经验发现表明，与刚性连接的传感器相比，与固定的传感器相比，布置的传感器实际上可以实现更高的活动识别精度，尤其是在从短时间窗口中预测时。在这项工作中，引入了概率模型，其中通过织物传感记录的运动之间的统计距离增加了这种提高的准确性和呼吸。模型的预测在模拟和真实的人类运动捕获实验中得到了验证，很明显，这种反直觉效应是紧密捕获的。

对于移动机器人而言，与铰接式对象的交互是一项具有挑战性但重要的任务。为了应对这一挑战，我们提出了一条新型的闭环控制管道，该管道将负担能力估计的操纵先验与基于采样的全身控制相结合。我们介绍了完全反映了代理的能力和体现的代理意识提供的概念，我们表明它们的表现优于其最先进的对应物，这些对应物仅以最终效果的几何形状为条件。此外，发现闭环负担推论使代理可以将任务分为多个非连续运动，并从失败和意外状态中恢复。最后，管道能够执行长途移动操作任务，即在现实世界中开放和关闭烤箱，成功率很高（开放：71％，关闭：72％）。

由于存在对抗性攻击，因此在安全至关重要系统中使用神经网络需要安全，可靠的模型。了解任何输入X的最小对抗扰动，或等效地知道X与分类边界的距离，可以评估分类鲁棒性，从而提供可认证的预测。不幸的是，计算此类距离的最新技术在计算上很昂贵，因此不适合在线应用程序。这项工作提出了一个新型的分类器家族，即签名的距离分类器（SDC），从理论的角度来看，它直接输出X与分类边界的确切距离，而不是概率分数（例如SoftMax）。 SDC代表一个强大的设计分类器家庭。为了实际解决SDC的理论要求，提出了一种名为Unitary级别神经网络的新型网络体系结构。实验结果表明，所提出的体系结构近似于签名的距离分类器，因此允许以单个推断为代价对X进行在线认证分类。

在这项工作中，我们提出了一种神经方法，用于重建描述层次相互作用的生根树图，使用新颖的表示，我们将其称为最低的共同祖先世代（LCAG）矩阵。这种紧凑的配方等效于邻接矩阵，但是如果直接使用邻接矩阵，则可以单独从叶子中学习树的结构，而无需先前的假设。因此，采用LCAG启用了第一个端到端的可训练解决方案，该解决方案仅使用末端树叶直接学习不同树大小的层次结构。在高能量粒子物理学的情况下，粒子衰减形成了分层树结构，只能通过实验观察到最终产物，并且可能的树的大型组合空间使分析溶液变得很棘手。我们证明了LCAG用作使用变压器编码器和神经关系编码器编码器图神经网络的模拟粒子物理衰减结构的任务。采用这种方法，我们能够正确预测LCAG纯粹是从叶子特征中的LCAG，最大树深度为$ 8 $ in $ 92.5 \％\％的树木箱子，最高$ 6 $叶子（包括）和$ 59.7 \％\％\％\％的树木$在我们的模拟数据集中$ 10 $。