Neural network-based approaches for solving partial differential equations (PDEs) have recently received special attention. However, the large majority of neural PDE solvers only apply to rectilinear domains, and do not systematically address the imposition of Dirichlet/Neumann boundary conditions over irregular domain boundaries. In this paper, we present a framework to neurally solve partial differential equations over domains with irregularly shaped (non-rectilinear) geometric boundaries. Our network takes in the shape of the domain as an input (represented using an unstructured point cloud, or any other parametric representation such as Non-Uniform Rational B-Splines) and is able to generalize to novel (unseen) irregular domains; the key technical ingredient to realizing this model is a novel approach for identifying the interior and exterior of the computational grid in a differentiable manner. We also perform a careful error analysis which reveals theoretical insights into several sources of error incurred in the model-building process. Finally, we showcase a wide variety of applications, along with favorable comparisons with ground truth solutions.

遗憾已被广泛用作评估分布式多代理系统在线优化算法的性能的首选指标。但是，与代理相关的数据/模型变化可以显着影响决策，并需要在代理之间达成共识。此外，大多数现有的作品都集中在开发（强烈或非严格地）凸出的方法上，对于一般非凸损失的分布式在线优化中的遗憾界限，几乎没有得到很少的结果。为了解决这两个问题，我们提出了一种新型的综合遗憾，并使用新的基于网络的基于遗憾的度量标准来评估分布式在线优化算法。我们具体地定义了复合遗憾的静态和动态形式。通过利用我们的综合遗憾的动态形式，我们开发了一种基于共识的在线归一化梯度（CONGD）的伪convex损失方法，事实证明，它显示了与最佳器路径变化的规律性术语有关的透明性行为。对于一般的非凸损失，我们首先阐明了基于最近进步的分布式在线非凸学习的遗憾，因此没有确定性算法可以实现sublinear的遗憾。然后，我们根据离线优化的Oracle开发了分布式的在线非凸优化（Dinoco），而无需进入梯度。迪诺科（Dinoco）被证明是统一的遗憾。据我们所知，这是对一般分布在线非convex学习的第一个遗憾。

我们提出了一种新的多功能增强学习的新型政策梯度方法，其利用了两个不同的差异减少技术，并且不需要在迭代上进行大量批次。具体而言，我们提出了一种基于势头的分散策略梯度跟踪（MDPGT），其中使用新的基于动量的方差减少技术来接近具有重要性采样的本地策略梯度代理，并采用中间参数来跟踪两个连续的策略梯度代理。此外，MDPGT可证明$ \ mathcal {o}的最佳可用样本复杂性（n ^ { - 1} \ epsilon ^ {-3}）$，用于汇聚到全球平均值的$ \ epsilon $ -stationary点n $本地性能函数（可能是非旋转）。这优于在分散的无模型增强学习中的最先进的样本复杂性，并且当用单个轨迹初始化时，采样复杂性与现有的分散的政策梯度方法获得的样本复杂性匹配。我们进一步验证了高斯策略函数的理论索赔。当所需的误差容忍$ \ epsilon $足够小时，MDPGT导致线性加速，以前已经在分散的随机优化中建立，但不是为了加强学习。最后，我们在多智能体增强学习基准环境下提供了实证结果，以支持我们的理论发现。

使用非均匀Rational B样条（NURBS）的边界表示（B-REP）是CAD中使用的事实标准，但它们在基于深度学习的方法中的实用性并未得到很好的研究。我们提出了一个不同的NURBS模块，将CAD模型的NURBS表示与深度学习方法集成。我们在数学上定义NURBS曲线或表面的衍生品相对于输入参数（控制点，权重和结向量）。这些衍生品用于定义用于执行“落后”评估的近似雅比尼亚，以培训深入学习模型。我们使用GPU加速算法实施了我们的NURBS模块，并与Pytorch集成了一个流行的深度学习框架。我们展示了我们的NURBS模块在执行CAD操作中的功效，例如曲线或表面拟合和表面偏移。此外，我们在深度学习中展示了无监督点云重建和强制分析约束的效用。这些例子表明，我们的模块对某些深度学习框架进行了更好的表现，并且可以与任何需要NURBS的任何深度学习框架直接集成。

The paper presents a cross-domain review analysis on four popular review datasets: Amazon, Yelp, Steam, IMDb. The analysis is performed using Hadoop and Spark, which allows for efficient and scalable processing of large datasets. By examining close to 12 million reviews from these four online forums, we hope to uncover interesting trends in sales and customer sentiment over the years. Our analysis will include a study of the number of reviews and their distribution over time, as well as an examination of the relationship between various review attributes such as upvotes, creation time, rating, and sentiment. By comparing the reviews across different domains, we hope to gain insight into the factors that drive customer satisfaction and engagement in different product categories.

Automated offensive language detection is essential in combating the spread of hate speech, particularly in social media. This paper describes our work on Offensive Language Identification in low resource Indic language Marathi. The problem is formulated as a text classification task to identify a tweet as offensive or non-offensive. We evaluate different mono-lingual and multi-lingual BERT models on this classification task, focusing on BERT models pre-trained with social media datasets. We compare the performance of MuRIL, MahaTweetBERT, MahaTweetBERT-Hateful, and MahaBERT on the HASOC 2022 test set. We also explore external data augmentation from other existing Marathi hate speech corpus HASOC 2021 and L3Cube-MahaHate. The MahaTweetBERT, a BERT model, pre-trained on Marathi tweets when fine-tuned on the combined dataset (HASOC 2021 + HASOC 2022 + MahaHate), outperforms all models with an F1 score of 98.43 on the HASOC 2022 test set. With this, we also provide a new state-of-the-art result on HASOC 2022 / MOLD v2 test set.

We consider the problem of continually releasing an estimate of the population mean of a stream of samples that is user-level differentially private (DP). At each time instant, a user contributes a sample, and the users can arrive in arbitrary order. Until now these requirements of continual release and user-level privacy were considered in isolation. But, in practice, both these requirements come together as the users often contribute data repeatedly and multiple queries are made. We provide an algorithm that outputs a mean estimate at every time instant $t$ such that the overall release is user-level $\varepsilon$-DP and has the following error guarantee: Denoting by $M_t$ the maximum number of samples contributed by a user, as long as $\tilde{\Omega}(1/\varepsilon)$ users have $M_t/2$ samples each, the error at time $t$ is $\tilde{O}(1/\sqrt{t}+\sqrt{M}_t/t\varepsilon)$. This is a universal error guarantee which is valid for all arrival patterns of the users. Furthermore, it (almost) matches the existing lower bounds for the single-release setting at all time instants when users have contributed equal number of samples.

Speech-centric machine learning systems have revolutionized many leading domains ranging from transportation and healthcare to education and defense, profoundly changing how people live, work, and interact with each other. However, recent studies have demonstrated that many speech-centric ML systems may need to be considered more trustworthy for broader deployment. Specifically, concerns over privacy breaches, discriminating performance, and vulnerability to adversarial attacks have all been discovered in ML research fields. In order to address the above challenges and risks, a significant number of efforts have been made to ensure these ML systems are trustworthy, especially private, safe, and fair. In this paper, we conduct the first comprehensive survey on speech-centric trustworthy ML topics related to privacy, safety, and fairness. In addition to serving as a summary report for the research community, we point out several promising future research directions to inspire the researchers who wish to explore further in this area.

The number of international benchmarking competitions is steadily increasing in various fields of machine learning (ML) research and practice. So far, however, little is known about the common practice as well as bottlenecks faced by the community in tackling the research questions posed. To shed light on the status quo of algorithm development in the specific field of biomedical imaging analysis, we designed an international survey that was issued to all participants of challenges conducted in conjunction with the IEEE ISBI 2021 and MICCAI 2021 conferences (80 competitions in total). The survey covered participants' expertise and working environments, their chosen strategies, as well as algorithm characteristics. A median of 72% challenge participants took part in the survey. According to our results, knowledge exchange was the primary incentive (70%) for participation, while the reception of prize money played only a minor role (16%). While a median of 80 working hours was spent on method development, a large portion of participants stated that they did not have enough time for method development (32%). 25% perceived the infrastructure to be a bottleneck. Overall, 94% of all solutions were deep learning-based. Of these, 84% were based on standard architectures. 43% of the respondents reported that the data samples (e.g., images) were too large to be processed at once. This was most commonly addressed by patch-based training (69%), downsampling (37%), and solving 3D analysis tasks as a series of 2D tasks. K-fold cross-validation on the training set was performed by only 37% of the participants and only 50% of the participants performed ensembling based on multiple identical models (61%) or heterogeneous models (39%). 48% of the respondents applied postprocessing steps.

The automated synthesis of correct-by-construction Boolean functions from logical specifications is known as the Boolean Functional Synthesis (BFS) problem. BFS has many application areas that range from software engineering to circuit design. In this paper, we introduce a tool BNSynth, that is the first to solve the BFS problem under a given bound on the solution space. Bounding the solution space induces the synthesis of smaller functions that benefit resource constrained areas such as circuit design. BNSynth uses a counter-example guided, neural approach to solve the bounded BFS problem. Initial results show promise in synthesizing smaller solutions; we observe at least \textbf{3.2X} (and up to \textbf{24X}) improvement in the reduction of solution size on average, as compared to state of the art tools on our benchmarks. BNSynth is available on GitHub under an open source license.