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一种基于long short-term memory的唇语识别方法 被引量:4
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作者 马宁 田国栋 周曦 《中国科学院大学学报(中英文)》 CSCD 北大核心 2018年第1期109-117,共9页
唇动视觉信息是说话内容的重要载体。受嘴唇外观、背景信息和说话习惯等影响,即使说话者说相同的内容,唇动视觉信息也会相差很大。为解决唇语视觉信息多样性的问题,提出一种基于long short-term memory(LSTM)的新的唇语识别方法。以往... 唇动视觉信息是说话内容的重要载体。受嘴唇外观、背景信息和说话习惯等影响,即使说话者说相同的内容,唇动视觉信息也会相差很大。为解决唇语视觉信息多样性的问题,提出一种基于long short-term memory(LSTM)的新的唇语识别方法。以往大多数的方法从嘴唇外表信息入手。本方法用嘴唇关键点坐标描述嘴唇形变信息作为唇语视频的特征,它具有类内一致性和类间区分性的特点。然后利用LSTM对特征进行时序编码,它能学习具有区分性和泛化性的空间-时序特征。在公开的唇语数据集GRID、MIRACL-VC和Oulu VS上对本方法做了针对分割的单词或短语的说话者独立的唇语识别评估。在GRID和MIRACL-VC上,本方法的准确率比传统方法至少高30%;在Oulu VS上,本方法的准确率接近于最优结果。以上实验结果表明,本文提出的基于LSTM的唇语识别方法有效地解决了唇语视觉信息多样性的问题。 展开更多
关键词 唇语识别 LONG short-term memory 计算机视觉
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Long Short-Term Memory Recurrent Neural Network-Based Acoustic Model Using Connectionist Temporal Classification on a Large-Scale Training Corpus 被引量:9
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作者 Donghyun Lee Minkyu Lim +4 位作者 Hosung Park Yoseb Kang Jeong-Sik Park Gil-Jin Jang Ji-Hwan Kim 《China Communications》 SCIE CSCD 2017年第9期23-31,共9页
A Long Short-Term Memory(LSTM) Recurrent Neural Network(RNN) has driven tremendous improvements on an acoustic model based on Gaussian Mixture Model(GMM). However, these models based on a hybrid method require a force... A Long Short-Term Memory(LSTM) Recurrent Neural Network(RNN) has driven tremendous improvements on an acoustic model based on Gaussian Mixture Model(GMM). However, these models based on a hybrid method require a forced aligned Hidden Markov Model(HMM) state sequence obtained from the GMM-based acoustic model. Therefore, it requires a long computation time for training both the GMM-based acoustic model and a deep learning-based acoustic model. In order to solve this problem, an acoustic model using CTC algorithm is proposed. CTC algorithm does not require the GMM-based acoustic model because it does not use the forced aligned HMM state sequence. However, previous works on a LSTM RNN-based acoustic model using CTC used a small-scale training corpus. In this paper, the LSTM RNN-based acoustic model using CTC is trained on a large-scale training corpus and its performance is evaluated. The implemented acoustic model has a performance of 6.18% and 15.01% in terms of Word Error Rate(WER) for clean speech and noisy speech, respectively. This is similar to a performance of the acoustic model based on the hybrid method. 展开更多
关键词 acoustic model connectionisttemporal classification LARGE-SCALE trainingcorpus LONG short-term memory recurrentneural network
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Deep Language Statistics of Italian throughout Seven Centuries of Literature and Empirical Connections with Miller’s 7 &#8723;2 Law and Short-Term Memory 被引量:2
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作者 Emilio Matricciani 《Open Journal of Statistics》 2019年第3期373-406,共34页
Statistics of languages are usually calculated by counting characters, words, sentences, word rankings. Some of these random variables are also the main “ingredients” of classical readability formulae. Revisiting th... Statistics of languages are usually calculated by counting characters, words, sentences, word rankings. Some of these random variables are also the main “ingredients” of classical readability formulae. Revisiting the readability formula of Italian, known as GULPEASE, shows that of the two terms that determine the readability index G—the semantic index , proportional to the number of characters per word, and the syntactic index GF, proportional to the reciprocal of the number of words per sentence—GF is dominant because GC is, in practice, constant for any author throughout seven centuries of Italian Literature. Each author can modulate the length of sentences more freely than he can do with the length of words, and in different ways from author to author. For any author, any couple of text variables can be modelled by a linear relationship y = mx, but with different slope m from author to author, except for the relationship between characters and words, which is unique for all. The most important relationship found in the paper is that between the short-term memory capacity, described by Miller’s “7 ? 2 law” (i.e., the number of “chunks” that an average person can hold in the short-term memory ranges from 5 to 9), and the word interval, a new random variable defined as the average number of words between two successive punctuation marks. The word interval can be converted into a time interval through the average reading speed. The word interval spreads in the same range as Miller’s law, and the time interval is spread in the same range of short-term memory response times. The connection between the word interval (and time interval) and short-term memory appears, at least empirically, justified and natural, however, to be further investigated. Technical and scientific writings (papers, essays, etc.) ask more to their readers because words are on the average longer, the readability index G is lower, word and time intervals are longer. Future work done on ancient languages, such as the classical Greek and Latin Literatures (or modern languages Literatures), could bring us an insight into the short-term memory required to their well-educated ancient readers. 展开更多
关键词 GULPEASE ITALIAN LITERATURE Miller’s LAW READABILITY short-term memory Word Interval
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Study of Brain Activation Using Electroencephalographic Technique for Performing Short-Term Memory Tests 被引量:2
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作者 E.S.F. Filho T.V. de Oliveira Lima +2 位作者 D.L.R. Silva Milton Vieira Costa E.M.T. Filho 《World Journal of Neuroscience》 2016年第1期37-42,共6页
Objective: This study aimed to compare the cortical topographic mapping while performing cognitive activities of standardized short-term memory. Materials and Methods: The sample consisted of 30 individuals of both ge... Objective: This study aimed to compare the cortical topographic mapping while performing cognitive activities of standardized short-term memory. Materials and Methods: The sample consisted of 30 individuals of both gender. Each individual participant of the survey was subjected to a short-term memory test for each sense. To carry out the EEG record, we used an electroencephalograph with 20 electrodes. The stimulus for the acquisition of short-term memory has always been made up of five items from different semantic classes. Results: The posterior right quadrant had a higher percentage of gamma rhythm during the tests of most senses. Conclusion: It was concluded that the right back quadrant has a higher gamma rhythms percentage during tests which involve somesthetic, olfactory and gustatory memory. On the other hand, the predominance of a gamma rhythm percentage in any quadrant when the auditory and visual memory was stimulated was not observed in this study. 展开更多
关键词 EEG short-term memory COGNITION
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Probability Theory Predicts That Chunking into Groups of Three or Four Items Increases the Short-Term Memory Capacity 被引量:1
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作者 Motohisa Osaka 《Applied Mathematics》 2014年第10期1474-1484,共11页
Short-term memory allows individuals to recall stimuli, such as numbers or words, for several seconds to several minutes without rehearsal. Although the capacity of short-term memory is considered to be 7 &#177?2 ... Short-term memory allows individuals to recall stimuli, such as numbers or words, for several seconds to several minutes without rehearsal. Although the capacity of short-term memory is considered to be 7 &#177?2 items, this can be increased through a process called chunking. For example, in Japan, 11-digit cellular phone numbers and 10-digit toll free numbers are chunked into three groups of three or four digits: 090-XXXX-XXXX and 0120-XXX-XXX, respectively. We use probability theory to predict that the most effective chunking involves groups of three or four items, such as in phone numbers. However, a 16-digit credit card number exceeds the capacity of short-term memory, even when chunked into groups of four digits, such as XXXX-XXXX-XXXX-XXXX. Based on these data, 16-digit credit card numbers should be sufficient for security purposes. 展开更多
关键词 short-term memory CHUNKING Probabilistic Model CREDIT Card Number
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Analyses of fear memory in Arc/Arg3.1-deficient mice: intact short-term memory and impaired long-term and remote memory
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作者 Kazuyuki Yamada Chihiro Homma +3 位作者 Kentaro Tanemura Toshio Ikeda Shigeyoshi Itohara Yoshiko Nagaoka 《World Journal of Neuroscience》 2011年第1期1-8,共8页
Activity-regulated cytoskeleton-associated protein (Arc/Arg3.1) was originally identified in patients with seizures. It is densely distributed in the hip-pocampus and amygdala in particular. Because the expression of ... Activity-regulated cytoskeleton-associated protein (Arc/Arg3.1) was originally identified in patients with seizures. It is densely distributed in the hip-pocampus and amygdala in particular. Because the expression of Arc/Arg3.1 is regulated by nerve in-puts, it is thought to be an immediate early gene. As shown both in vitro and in vivo, Arc/Arg3.1 is in-volved in synaptic consolidation and regulates some forms of learning and memory in rats and mice [1,2]. Furthermore, a recent study suggests that Arc/Arg3.1 may play a significant role in signal transmission via AMPA-type glutamate receptors [3-5]. Therefore, we conducted a detailed analysis of fear memory in Arc/Arg3.1-deficient mice. As previously reported, the knockout animals exhib-ited impaired fear memory in both contextual and cued test situations. Although Arc/Arg3.1-deficient mice showed almost the same performance as wild-type littermates 4 hr after a conditioning trial, their performance was impaired in the retention test after 24 hr or longer, either with or without reconsolidation. Immunohistochemical analyses showed an abnormal density of GluR1 in the hip-pocampus of Arc/Arg3.1-deficient mice;however, an application of AMPA potentiator did not improve memory performance in the mutant mice. Memory impairment in Arc/Arg3.1-deficient mice is so ro-bust that the mice provide a useful tool for devel-oping treatments for memory impairment. 展开更多
关键词 Activity-Regulated Cytoskeleton-Associated Protein (Arc/Arg3.1) KNOCKOUT (Ko) Mouse short- term memory LONG-term memory RECONSOLIDATION AMPA Receptor
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Prediction of Attention and Short-Term Memory Loss by EEG Workload Estimation
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作者 Md. Ariful Islam Ajay Krishno Sarkar +2 位作者 Md. Imran Hossain Md. Tofail Ahmed A. H. M. Iftekharul Ferdous 《Journal of Biosciences and Medicines》 2023年第4期304-318,共15页
Mental workload plays a vital role in cognitive impairment. The impairment refers to a person’s difficulty in remembering, receiving new information, learning new things, concentrating, or making decisions that serio... Mental workload plays a vital role in cognitive impairment. The impairment refers to a person’s difficulty in remembering, receiving new information, learning new things, concentrating, or making decisions that seriously affect everyday life. In this paper, the simultaneous capacity (SIMKAP) experiment-based EEG workload analysis was presented using 45 subjects for multitasking mental workload estimation with subject wise attention loss calculation as well as short term memory loss measurement. Using an open access preprocessed EEG dataset, Discrete wavelet transforms (DWT) was utilized for feature extraction and Minimum redundancy and maximum relevancy (MRMR) technique was used to select most relevance features. Wavelet decomposition technique was also used for decomposing EEG signals into five sub bands. Fourteen statistical features were calculated from each sub band signal to form a 5 × 14 window size. The Neural Network (Narrow) classification algorithm was used to classify dataset for low and high workload conditions and comparison was made using some other machine learning models. The results show the classifier’s accuracy of 86.7%, precision of 84.4%, F1 score of 86.33%, and recall of 88.37% that crosses the state-of-the art methodologies in the literature. This prediction is expected to greatly facilitate the improved way in memory and attention loss impairments assessment. 展开更多
关键词 Attention Loss Cognitive Impairment EEG Feature Selection SIMKAP Short term memory Loss Machine Learning WORKLOAD
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Short-term Memory Training in Listening Comprehension
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作者 李可 《海外英语》 2013年第24期98-99,共2页
Listening comprehension is an important part in most of the English examinations because of the commonly using of listening in communication. It is a common phenomena that most of the students have problems in this pa... Listening comprehension is an important part in most of the English examinations because of the commonly using of listening in communication. It is a common phenomena that most of the students have problems in this part because of the limit?ed capacity of short-term memory. In this essay, we will talk about the relationship between the short-term memory and listen?ing comprehension, and try to find the way to train the short-term memory to improve this part. 展开更多
关键词 short-term memory LISTENING COMPREHENSION capacity
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Short-Term Relay Quality Prediction Algorithm Based on Long and Short-Term Memory 被引量:3
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作者 XUE Wendong CHAI Yuan +2 位作者 LI Qigan HONG Yongqiang ZHENG Gaofeng 《Instrumentation》 2018年第4期46-54,共9页
The fraction defective of semi-finished products is predicted to optimize the process of relay production lines, by which production quality and productivity are increased, and the costs are decreased. The process par... The fraction defective of semi-finished products is predicted to optimize the process of relay production lines, by which production quality and productivity are increased, and the costs are decreased. The process parameters of relay production lines are studied based on the long-and-short-term memory network. Then, the Keras deep learning framework is utilized to build up a short-term relay quality prediction algorithm for the semi-finished product. A simulation model is used to study prediction algorithm. The simulation results show that the average prediction absolute error of the fraction is less than 5%. This work displays great application potential in the relay production lines. 展开更多
关键词 RELAY Production LINE LONG and short-term memory Network Keras DEEP Learning Framework Quality Prediction
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Short-term Memory in While-Listening Comprehension
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作者 李霞 《海外英语》 2014年第3X期58-60,共3页
Short-term memory plays an essential role in successful listening comprehension.The information extracted from short-term memory in listening comprehension is influenced by many factors.This paper explain some ways of... Short-term memory plays an essential role in successful listening comprehension.The information extracted from short-term memory in listening comprehension is influenced by many factors.This paper explain some ways of improving listening ability while examine,which emphatically point out how to extend short-term memory. 展开更多
关键词 while-listening COMPREHENSION short-term memory IM
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Verbal Short-Term Memory as Language Predictor in Children with Autism Spectrum Disorder
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作者 Ioanna Talli 《Journal of Behavioral and Brain Science》 2020年第5期200-219,共20页
Verbal short-term memory (vSTM) has been shown to be associated with language development in typical and atypical populations. In this study, we investigated cognitive and language skills in 33 school-aged children wi... Verbal short-term memory (vSTM) has been shown to be associated with language development in typical and atypical populations. In this study, we investigated cognitive and language skills in 33 school-aged children with ASD (6 - 12 years old) with both typical and low levels of intelligence (18 with typical non-verbal IQ [>80 in Raven] and 15 with low non-verbal IQ [p p < 0.05). Regression analysis showed that expressive vocabulary was predicted by non-verbal IQ and vSTM, syntactic production was predicted by vSTM and picture comprehension was predicted by non-verbal IQ. Conversely, expressive vocabulary could predict non-verbal IQ, vSTM, immediate visual memory, delayed visual memory, and visual information recall. It seems that vSTM is a strong predictor of language skills for children with ASD, just like it is for other typical and atypical populations. Finally, dissociations exist in individual performances between non-verbal IQ and memory on the one hand and language skills (expressive vocabulary, syntactic production) on the other hand. We discuss the significance of these findings in terms of previous results reported in ASD literature as well as in terms of clinical implications and intervention in ASD individuals. 展开更多
关键词 AUTISM SPECTRUM DISORDER Language SKILLS Cognitive SKILLS VERBAL short-term memory
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A Review of Capacity Limitation From Visual Perception to Short-Term Visual Memory of a Single Curved Contour
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作者 Koji Sakai 《Psychology Research》 2017年第7期361-379,共19页
关键词 容量限制 视觉感知 曲线轮廓 视觉记忆 物理学实验 检测理论 轮廓识别 复杂曲面
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Stock Price Forecasting with Artificial Neural Networks Long Short-Term Memory: A Bibliometric Analysis and Systematic Literature Review
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作者 Cristiane Orquisa Fantin Eli Hadad 《Journal of Computer and Communications》 2022年第12期29-50,共22页
This study maps the academic literature on Stock Price Forecasting with Long-Term Memory Artificial Neural Networks—RNA LSTM. The objective is to know if it is suitable for time series studies, especially for stock p... This study maps the academic literature on Stock Price Forecasting with Long-Term Memory Artificial Neural Networks—RNA LSTM. The objective is to know if it is suitable for time series studies, especially for stock price projection. Through bibliometric analysis and systematic literature review, it is observed that 333 authors wrote on the topic between 2018 and March 2022, and the journals Expert Systems with Applications, IEEE Access, Big Data Journal and Neural Computing and Applications, published the most relevant articles. Of the 99 articles published in this period, 43 are associated with Chinese institutions, the most cited being that of Kim and Won, who studies the volatility of returns and the market capitalization of South Korean stocks. The basis of 65% of the studies is the comparison between the RNN LSTM and other artificial neural networks. The daily closing price of shares is the most analyzed type of data, and the American (21%) and Chinese (20%) stock exchanges are the most studied. 57% of the studies include improvements to existing neural network models and 42% new projection models. 展开更多
关键词 Stock Price Forecasting Long-term memory Backpropagation Bibliometric Analysis Systematic Review
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State of Health Estimation of Lithium-Ion Batteries Using Support Vector Regression and Long Short-Term Memory
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作者 Inioluwa Obisakin Chikodinaka Vanessa Ekeanyanwu 《Open Journal of Applied Sciences》 CAS 2022年第8期1366-1382,共17页
Lithium-ion batteries are the most widely accepted type of battery in the electric vehicle industry because of some of their positive inherent characteristics. However, the safety problems associated with inaccurate e... Lithium-ion batteries are the most widely accepted type of battery in the electric vehicle industry because of some of their positive inherent characteristics. However, the safety problems associated with inaccurate estimation and prediction of the state of health of these batteries have attracted wide attention due to the adverse negative effect on vehicle safety. In this paper, both machine and deep learning models were used to estimate the state of health of lithium-ion batteries. The paper introduces the definition of battery health status and its importance in the electric vehicle industry. Based on the data preprocessing and visualization analysis, three features related to actual battery capacity degradation are extracted from the data. Two learning models, SVR and LSTM were employed for the state of health estimation and their respective results are compared in this paper. The mean square error and coefficient of determination were the two metrics for the performance evaluation of the models. The experimental results indicate that both models have high estimation results. However, the metrics indicated that the SVR was the overall best model. 展开更多
关键词 Support Vector Regression (SVR) Long short-term memory (LSTM) Network State of Health (SOH) Estimation
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Short-Term Memory Capacity across Time and Language Estimated from Ancient and Modern Literary Texts. Study-Case: New Testament Translations
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作者 Emilio Matricciani 《Open Journal of Statistics》 2023年第3期379-403,共25页
We study the short-term memory capacity of ancient readers of the original New Testament written in Greek, of its translations to Latin and to modern languages. To model it, we consider the number of words between any... We study the short-term memory capacity of ancient readers of the original New Testament written in Greek, of its translations to Latin and to modern languages. To model it, we consider the number of words between any two contiguous interpunctions I<sub>p</sub>, because this parameter can model how the human mind memorizes “chunks” of information. Since I<sub>P</sub> can be calculated for any alphabetical text, we can perform experiments—otherwise impossible— with ancient readers by studying the literary works they used to read. The “experiments” compare the I<sub>P</sub> of texts of a language/translation to those of another language/translation by measuring the minimum average probability of finding joint readers (those who can read both texts because of similar short-term memory capacity) and by defining an “overlap index”. We also define the population of universal readers, people who can read any New Testament text in any language. Future work is vast, with many research tracks, because alphabetical literatures are very large and allow many experiments, such as comparing authors, translations or even texts written by artificial intelligence tools. 展开更多
关键词 Alphabetical Languages Artificial Intelligence Writing GREEK LATIN New Testament Readers Overlap Probability short-term memory Capacity TEXTS Translation Words Interval
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GLOBAL CONVERGENCE RESULTS OF A THREE TERM MEMORY GRADIENT METHOD WITH A NON-MONOTONE LINE SEARCH TECHNIQUE 被引量:12
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作者 孙清滢 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期170-178,共9页
In this paper, a new class of three term memory gradient method with non-monotone line search technique for unconstrained optimization is presented. Global convergence properties of the new methods are discussed. Comb... In this paper, a new class of three term memory gradient method with non-monotone line search technique for unconstrained optimization is presented. Global convergence properties of the new methods are discussed. Combining the quasi-Newton method with the new method, the former is modified to have global convergence property. Numerical results show that the new algorithm is efficient. 展开更多
关键词 Non-linear programming three term memory gradient method convergence non-monotone line search technique numerical experiment
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Tool Health Condition Recognition Method for High Speed Milling of Titanium Alloy Based on Principal Component Analysis (PCA) and Long Short Term Memory (LSTM) 被引量:2
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作者 YANG Qirui XU Kaizhou +2 位作者 ZHENG Xiaohu XIAO Lei BAO Jinsong 《Journal of Donghua University(English Edition)》 EI CAS 2019年第4期364-368,共5页
The healthy condition of the milling tool has a very high impact on the machining quality of the titanium components.Therefore,it is important to recognize the healthy condition of the tool and replace the damaged cut... The healthy condition of the milling tool has a very high impact on the machining quality of the titanium components.Therefore,it is important to recognize the healthy condition of the tool and replace the damaged cutter at the right time.In order to recognize the health condition of the milling cutter,a method based on the long short term memory(LSTM)was proposed to recognize tool health state in this paper.The various signals collected in the tool wear experiments were analyzed by time-domain statistics,and then the extracted data were generated by principal component analysis(PCA)method.The preprocessed data extracted by PCA is transmitted to the LSTM model for recognition.Compared with back propagation neural network(BPNN)and support vector machine(SVM),the proposed method can effectively utilize the time-domain regulation in the data to achieve higher recognition speed and accuracy. 展开更多
关键词 HEALTH CONDITION recognition MILLING TOOL principal component analysis(PCA) long short term memory(LSTM)
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Conditional Random Field Tracking Model Based on a Visual Long Short Term Memory Network 被引量:3
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作者 Pei-Xin Liu Zhao-Sheng Zhu +1 位作者 Xiao-Feng Ye Xiao-Feng Li 《Journal of Electronic Science and Technology》 CAS CSCD 2020年第4期308-319,共12页
In dense pedestrian tracking,frequent object occlusions and close distances between objects cause difficulty when accurately estimating object trajectories.In this study,a conditional random field tracking model is es... In dense pedestrian tracking,frequent object occlusions and close distances between objects cause difficulty when accurately estimating object trajectories.In this study,a conditional random field tracking model is established by using a visual long short term memory network in the three-dimensional(3D)space and the motion estimations jointly performed on object trajectory segments.Object visual field information is added to the long short term memory network to improve the accuracy of the motion related object pair selection and motion estimation.To address the uncertainty of the length and interval of trajectory segments,a multimode long short term memory network is proposed for the object motion estimation.The tracking performance is evaluated using the PETS2009 dataset.The experimental results show that the proposed method achieves better performance than the tracking methods based on the independent motion estimation. 展开更多
关键词 Conditional random field(CRF) long short term memory network(LSTM) motion estimation multiple object tracking(MOT)
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Estimation of unloading relaxation depth of Baihetan Arch Dam foundation using long-short term memory network 被引量:1
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作者 Ming-jie He Hao Li +3 位作者 Jian-rong Xu Huan-ling Wang Wei-ya Xu Shi-zhuang Chen 《Water Science and Engineering》 EI CAS CSCD 2021年第2期149-158,共10页
The unloading relaxation caused by excavation for construction of high arch dams is an important factor influencing the foundation’s integrity and strength.To evaluate the degree of unloading relaxation,the long-shor... The unloading relaxation caused by excavation for construction of high arch dams is an important factor influencing the foundation’s integrity and strength.To evaluate the degree of unloading relaxation,the long-short term memory(LSTM)network was used to estimate the depth of unloading relaxation zones on the left bank foundation of the Baihetan Arch Dam.Principal component analysis indicates that rock charac-teristics,the structural plane,the protection layer,lithology,and time are the main factors.The LSTM network results demonstrate the unloading relaxation characteristics of the left bank,and the relationships with the factors were also analyzed.The structural plane has the most significant influence on the distribution of unloading relaxation zones.Compared with massive basalt,the columnar jointed basalt experiences a more significant unloading relaxation phenomenon with a clear time effect,with the average unloading relaxation period being 50 d.The protection layer can effectively reduce the unloading relaxation depth by approximately 20%. 展开更多
关键词 Columnar jointed basalt Unloading relaxation Long-short term memory(LSTM)network Principal component analysis Stability assessment Baihetan Arch Dam
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Blow-Up Result for a Semi-Linear Wave Equation with a Nonlinear Memory Term of Derivative Type 被引量:1
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作者 OUYANG Bai-ping XIAO Sheng-zhong 《Chinese Quarterly Journal of Mathematics》 2021年第3期235-243,共9页
In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-... In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-up result for the semi-linear wave equation when the exponent of p is under certain conditions.Meanwhile,we derive an upper bound of the lifespan of solutions to the Cauchy problem for the semi-linear wave equation. 展开更多
关键词 Semi-linear wave equation BLOW-UP Nonlinear memory term of derivative type Lifespan
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