The calculation of division and square root is widely used in edge computing related to image processing, clustering, recognition, and reconstruction, among others. Their common multi-stage serial calculation takes longer, and requires a higher latency, and more redundant hardware resources for multi-dimensional parallel computations. This work proposes a low-latency power series approximate digital computing (PSADIC) paradigm and architecture, which achieves a fast low-latency calculation of multi-dimensional mathematical expressions, focusing on the co-calculation of division and square root. This approach allows to compute not only the division and the square root, but also the inverse and the inverse square root. Moreover, serial and pipelined architectures have been designed here to achieve smaller areas and lower latencies, respectively. Compared to the multi-stage calculation with CORDIC (COordinate Rotation DIgital Computer), the mean relative error distance (MRED) is reduced by 67% in PSADIC. Under TSMC (Taiwan Semiconductor Manufacturing Company) 40nm CMOS technology, the proposed serial and pipelined architectures achieve a 66.67% overall latency reduction compared to the CORDIC when using both its own maximum clock frequency, and a 75% cycle latency reduction. Meanwhile, both the ADP (Area Delay Product) and PDP (Power Delay Product) are also optimized.

Augmenting pre-trained language models (PLMs) with knowledge graphs (KGs) has demonstrated superior performance on commonsense reasoning.Given a commonsense based QA context (question and multiple choices), existing approaches usually estimate the plausibility of candidate choices separately based on their respective retrieved KGs, without considering the interference among different choices.In this paper, we propose an Attention guided Commonsense rEasoning Network (ACENet) 1 to endow the neural network with the capability of integrating hybrid knowledge.Specifically, our model applies the multilayer interaction of answer choices to continually strengthen correct choice information and guide the message passing of GNN.In addition, we also design a mix attention mechanism of nodes and edges to iteratively select supporting evidence on hybrid knowledge graph.Experimental results demonstrate the effectiveness of our proposed model through considerable performance gains across CommonsenseQA and OpenbookQA datasets.

One of the key challenges of knowledge base question answering (KBQA) is the multi-hop reasoning.Since in different hops, one attends to different parts of question, it is important to dynamically represent the question semantics for each hop.Existing methods, however, (i) infer the dynamic question representation only through coarse-grained attention mechanisms, which may bring information loss, (ii) and have not effectively modeled the sequential logic, which is crucial for the multi-hop reasoning process in KBQA.To address these issues, we propose a sequential reasoning selfattention mechanism to capture the crucial reasoning information of each single hop in a more fine-grained way.Based on Gated Recurrent Unit (GRU) which is good at modeling sequential process, we propose a simple but effective GRU-inspired Flow Control (GFC) framework to model sequential logic in the whole multi-hop process.Extensive experiments on three popular benchmark datasets have demonstrated the superior effectiveness of our model.In particular, GFC achieves new state-of-the-art Hits@1 of 76.8% on WebQSP and is also effective when KB is incomplete.Our code and data are available at https: //github.com/