Data-driven identification of differential equations is an interesting but challenging problem, especially when the given data are corrupted by noise. When the governing differential equation is a linear combination of various differential terms, the identification problem can be formulated as solving a linear system, with the feature matrix consisting of linear and nonlinear terms multiplied by a coefficient vector. This product is equal to the time derivative term, and thus generates dynamical behaviors. The goal is to identify the correct terms that form the equation to capture the dynamics of the given data. We propose a general and robust framework to recover differential equations using a weak formulation, for both ordinary and partial differential equations (ODEs and PDEs). The weak formulation facilitates an efficient and robust way to handle noise. For a robust recovery against noise and the choice of hyper-parameters, we introduce two new mechanisms, narrow-fit and trimming, for the coefficient support and value recovery, respectively. For each sparsity level, Subspace Pursuit is utilized to find an initial set of support from the large dictionary. Then, we focus on highly dynamic regions (rows of the feature matrix), and error normalize the feature matrix in the narrow-fit step. The support is further updated via trimming of the terms that contribute the least. Finally, the support set of features with the smallest Cross-Validation error is chosen as the result. A comprehensive set of numerical experiments are presented for both systems of ODEs and PDEs with various noise levels. The proposed method gives a robust recovery of the coefficients, and a significant denoising effect which can handle up to $100\%$ noise-to-signal ratio for some equations. We compare the proposed method with several state-of-the-art algorithms for the recovery of differential equations.
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GPT-3显示了培训的大规模语言模型(LMS)的卓越情调学习能力,培训数十亿规模数据。在这里,我们解决了GPT-3纸张报告的一些剩余问题,例如非英语LM,不同大小模型的性能,以及最近引入的迅速优化对上下文学习的效果。为实现这一目标,我们介绍了HyperClova,一个韩国VPT-3的韩国变体训练在一个以韩国为中心的560b标准的令牌。通过我们的韩国特定标记化,HyperClova与我们的培训配置增强,显示了韩国各种下游任务的最先进的上下游零射击和几秒钟学习表演。此外,我们展示了基于及时的学习的性能优势,并演示如何集成到迅速的工程管道中。然后,我们讨论了通过引入Hyperclova Studio,互动提示工程界面向ML的非专家提供AI原型设计能力来实现No Code AI范例的可能性。最后,我们展示了我们具有三个成功的内部应用程序的方法的潜力。
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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.
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受到正规彩票假说(RLTH)的启发,该假说假设在密集网络中存在平稳(非二进制)子网,以实现密集网络的竞争性能,我们提出了几个播放类增量学习(FSCIL)方法。 to as \ emph {soft-subnetworks(softnet)}。我们的目标是逐步学习一系列会议,每个会议在每个课程中只包含一些培训实例,同时保留了先前学到的知识。软网络在基本训练会议上共同学习模型权重和自适应非二进制软面具,每个面具由主要和次要子网组成;前者的目的是最大程度地减少训练期间的灾难性遗忘,而后者的目的是避免在每个新培训课程中过度拟合一些样本。我们提供了全面的经验验证,表明我们的软网络通过超越基准数据集的最先进基准的性能来有效地解决了几个弹药的学习问题。
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ICECUBE是一种用于检测1 GEV和1 PEV之间大气和天体中微子的光学传感器的立方公斤阵列,该阵列已部署1.45 km至2.45 km的南极的冰盖表面以下1.45 km至2.45 km。来自ICE探测器的事件的分类和重建在ICeCube数据分析中起着核心作用。重建和分类事件是一个挑战,这是由于探测器的几何形状,不均匀的散射和冰中光的吸收,并且低于100 GEV的光,每个事件产生的信号光子数量相对较少。为了应对这一挑战,可以将ICECUBE事件表示为点云图形,并将图形神经网络(GNN)作为分类和重建方法。 GNN能够将中微子事件与宇宙射线背景区分开,对不同的中微子事件类型进行分类,并重建沉积的能量,方向和相互作用顶点。基于仿真,我们提供了1-100 GEV能量范围的比较与当前ICECUBE分析中使用的当前最新最大似然技术,包括已知系统不确定性的影响。对于中微子事件分类,与当前的IceCube方法相比,GNN以固定的假阳性速率(FPR)提高了信号效率的18%。另外,GNN在固定信号效率下将FPR的降低超过8(低于半百分比)。对于能源,方向和相互作用顶点的重建,与当前最大似然技术相比,分辨率平均提高了13%-20%。当在GPU上运行时,GNN能够以几乎是2.7 kHz的中位数ICECUBE触发速率的速率处理ICECUBE事件,这打开了在在线搜索瞬态事件中使用低能量中微子的可能性。
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尽管变形金刚在段落的生成中取得了重大成功,但它们将句子视为令牌的线性序列,并且经常忽略其层次结构信息。先前的工作表明,输入令牌分解粒度〜(例如,单词,短语或句子)的水平已产生实质性改进,这表明可以通过更细粒度的粒度建模来增强变形金刚。在这项工作中,我们提出了粒度生成(C-DNPG)的粒度连续分解。为了有效地将粒度纳入编码句子中,C-DNPG引入了一种粒度感知的注意力(GA-注意)机制,该机制扩展了多头自我注意力,以:1)自动渗透句子的粒度头,该机制自动渗透了句子的等级结构通过神经估计每个输入令牌的粒度水平; 2)两个新的注意力面膜,即粒度共振和粒度范围,以有效地将粒度编码为注意力。在两个基准测试的实验(包括Quora问题对和Twitter URL)上表明,C-DNPG的表现优于基线模型,而在许多指标方面,C-DNPG的基线模型优于基线模型。定性分析表明,C-DNPG确实具有有效性捕获细粒度的粒度水平。
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基于变压器的模型已在各个领域(例如自然语言处理和计算机视觉)中广泛使用并实现了最先进的性能。最近的作品表明,变压器也可以推广到图形结构化数据。然而,由于技术挑战,诸如节点数量和非本地聚集的技术挑战之类的技术挑战,因此成功限于小规模图,这通常会导致对常规图神经网络的概括性能。在本文中,为了解决这些问题,我们提出了可变形的图形变压器(DGT),以动态采样的键和值对进行稀疏注意。具体而言,我们的框架首先构建具有各种标准的多个节点序列,以考虑结构和语义接近。然后,将稀疏的注意力应用于节点序列,以减少计算成本,以学习节点表示。我们还设计简单有效的位置编码,以捕获节点之间的结构相似性和距离。实验表明,我们的新型图形变压器始终胜过现有的基于变压器的模型,并且与8个图形基准数据集(包括大型图形)的最新模型相比,与最新的模型相比表现出竞争性能。
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Recent developments of dense retrieval rely on quality representations of queries and contexts coming from pre-trained query and context encoders. In this paper, we introduce TouR (test-time optimization of query representations), which further optimizes instance-level query representations guided by signals from test-time retrieval results. We leverage a cross-encoder re-ranker to provide fine-grained pseudo labels over retrieval results and iteratively optimize query representations with the gradient descent method. Our theoretical analysis reveals that TouR can be viewed as a generalization of the classical Rocchio's algorithm for pseudo relevance feedback, and we present two variants leveraging psuedo labels as either hard binary or soft continuous labels. We first apply TouR on phrase retrieval with our proposed phrase re-ranker. On passage retrieval, we demonstrate its effectiveness with an off-the-shelf re-ranker. TouR improves the end-to-end open-domain QA accuracy significantly, as well as passage retrieval performance. Compared to re-ranker, TouR requires a smaller number of candidates, and achieves consistently better performance and runs up to 4x faster with our efficient implementation.
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预训练的语言模型(PLM)在各种自然语言理解任务上取得了巨大的成功。另一方面,对PLM的简单微调对于特定于领域的任务可能是次优的,因为它们不可能涵盖所有域中的知识。尽管PLM的自适应预培训可以帮助他们获得特定于领域的知识,但需要大量的培训成本。此外,自适应预训练可能会通过造成灾难性忘记其常识来损害PLM在下游任务上的表现。为了克服PLM适应性适应性预训练的这种局限性,我们提出了一个新颖的域名适应框架,用于将PLMS创造为知识增强语言模型适应性(KALA),该框架调节了PLM的中间隐藏表示与域中的中间隐藏表示,由实体和实体和实体和实体和实体构成他们的关系事实。我们验证了Kala在问题答案中的性能,并在各个域的多个数据集上命名实体识别任务。结果表明,尽管在计算上有效,但我们的Kala在很大程度上优于适应性预训练。代码可在以下网址获得:https://github.com/nardien/kala/。
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在生物医学自然语言处理中,命名实体识别(NER)和命名实体归一化(NEN)是能够从不断增长的生物医学文献中自动提取生物医学实体(例如,疾病和化学品)的关键任务。在本文中,我们展示了伯尔尼(高级生物医学实体识别和归一化),这是一种改善以前的基于神经网络的NER工具的工具(Kim等,2019),采用多任务NER模型和基于神经网络的NEN模型实现更快,更准确的推理。我们希望我们的工具可以帮助为各种任务等诸如生物医学知识图形建设等各种任务来诠释大规模生物医学文本。
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