DOCSLIB.ORG

On the Vanishing and Exploding Gradient Problem in Gated Recurrent Units

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
On the Vanishing and Exploding Gradient Problem in Gated Recurrent Units Preprints of the 21st IFAC World Congress (Virtual) Berlin, Germany, July 12-17, 2020 On the vanishing and exploding gradient problem in Gated Recurrent Units Alexander Rehmer, Andreas Kroll Department of Measurement and Control, Institute for System Analytics and Control, Faculty of Mechanical Engineering, University of Kassel, Germany, (e-mail: alexander.rehmer, andreas.kroll @mrt.uni-kassel.de)f g Abstract: Recurrent Neural Networks are applied in areas such as speech recognition, natural language and video processing, and the identification of nonlinear state space models. Conventional Recurrent Neural Networks, e.g. the Elman Network, are hard to train. A more recently developed class of recurrent neural networks, so-called Gated Units, outperform their counterparts on virtually every task. This paper aims to provide additional insights into the differences between RNNs and Gated Units in order to explain the superior perfomance of gated recurrent units. It is argued, that Gated Units are easier to optimize not because they solve the vanishing gradient problem, but because they circumvent the emergence of large local gradients. Keywords: Nonlinear system identification, Recurrent Neural Networks, Gated Recurrent Units. 1. INTRODUCTION ics makes the GRU less sensitive to its initial choice of parameters and thus simplifies the optimization problem. Gated Units, such as the Long Short-Term Memory In the end GRU and RNNs will be compared on a simple (LSTM) and the Gated Recurrent Unit (GRU) were academic example and on a real nonlinear identification originally developed to overcome the vanishing gradient task. problem, which occurs in the Elman Recurrent Neural Network (RNN) (Pascanu et al., 2012). They have since 2. RECURRENT NEURAL NETWORKS outperformed RNNs on a number of tasks, such as natural language, speech and video processing (Jordan et al., 2019) In this section the Simple Recurrent Neural Network and recently also on a nonlinear system identification task (RNN), also known as Elman Network, and the Gated (Rehmer and Kroll, 2019). However, it will be shown, that Recurrent Unit (GRU) will be introduced. the gradient also vanishes in Gated Units, other still un- accounted for mechanisms have to be responsible for their 2.1 Simple Recurrent Neural Network success. Pascanu et al. (2012) show, that small changes in the parameters θ of the RNN can lead to drastic changes The RNN as depicted in figure 1 is a straightforward in the dynamic behavior of the system, when crossing realization of a nonlinear state space model (Nelles, 2001). certain critical bifurcation points. This in turn results in It consists of one hidden recurrent layer with nonlinear f a huge change in the evolution of the hidden state x^ , activation function h, which aims to approximate the k f which leads to a locally large, or exploding, gradient of state equation, as well as one hidden feedforward layer g the loss function. In this paper the GRU will be examined and one linear output layer, which together aim to approx- and compared to the RNN with the purpose to provide an imate the output equation. For simplicity of notation, the alternative explanation to why GRUs outperform RNNs. linear output layer is omitted in the following equations First, it will be shown, that the gradient of the GRU is and figures: x^ = f (W x^ + W u + b ) ; in fact smaller than that of the RNN, at least for the pa- k+1 h x k u k h (1) rameterizations considered in this paper, although GRUs y^k = f g (W yx^k + bg) ; were originally designed to solve the vanishing gradient n×1 m×1 l×1 n×n with x^k R , y^k R , uk R , W x R , problem. Secondly, it will be shown, that GRUs are not W 2n×l, b n2×1, W 2m×n, b m2×1 and only capable to represent highly nonlinear dynamics, but u R h R y R g R f : 2n×1 n×21, f : m×1 2 m×1. Usually2 tanh( ) is are also able to represent approximately linear dynamics h R R g R R employed as! nonlinear activation! function. When training· via a number of different parameterizations. Since a linear an RNN, the recurrent model is unfolded over the whole model is always a good first guess, the easy accessibility training sequence of length N, and the gradient of the of different parameterizations that produce linear dynam- loss function with respect to the model parameters θ is L ? Sponsor and financial support acknowledgment goes here. Paper calculated. As a consequence of the feedback, the gradient titles should be written in uppercase and lowercase letters, not all of the error target uppercase. e = y^ y (2) k k − k Copyright lies with the authors 1265 Preprints of the 21st IFAC World Congress (Virtual) Berlin, Germany, July 12-17, 2020 W u W y u f h f g y^ x^k x^k+1 x~k 1- W x f r f z f c Fig. 1. Representation of the Elman Network: Layers of W r W z W c neurons are represented as rectangles, connections between layers represent fully connected layers. uk at time step k with respect to the model parameters Fig. 2. The Gated Recurrent Unit (GRU). Gates are θ = W x; W u; W y; bh; bg depends on the previous state x^ f, which depends againg on the model parameters: depicted as rectangles with their respective activation k−1 functions. @e @e @y^ @x^ @x^ @x^ k = k k k + k k−1 (3) f = σ (W r [x^k; uk] + br) ; @θ @y^k @x^k @θ @x^k−1 @θ r · f = σ (W [x^ ; u ] + b ) ; (6) For example, the gradient of the hidden state x^k with z z · k k z respect to W is f = tanh (W c [x~k; uk] + bc) ; x c · N where W ; W ; W n×n+l, b ; b ; b n×1 and @x^ X 0(k−τ+1) Y 0(k−β) (k−β) r z c R r z c R k n×1 2 n×1 2 = x^k−τ f h (·) f h (·) W x f ; f ; f : . σ ( ) denotes the logistic @W x (4) r z c R R τ=1 β function.In order to map! the states· estimated by the GRU β = τ − 2; τ − 3;::: 8β ≥ 0: to the output, the GRU has to be equipped either with an High indices in brackets indicate the particular time step. output layer, as the RNN, or with an output gate, as the The product term in (4), which also appears when com- LSTM. puting the gradient with respect to the other parameters, decreases exponentially with τ, if f 0 ρ (W ) < 1, where 3. GRADIENT OF THE STATE EQUATIONS j h · j ρ (W x) is the spectral radius of W x. Essentially, backprop- agating an error one time step involves a multiplication of In this section, the gradients of the state equations of RNN the state with a derivative that is possibly smaller than (1) and GRU (5) w.r.t. their parameters will be compared one and a matrix whose spectral radius is possibly smaller to each other. In the cases examined the gradient of the than one. Hence, the gradient vanishes after a certain GRU is, somewhat surprisingly, at most as large as that amount of time steps. In the Machine Learning community of the RNN, but usually smaller. it is argued that the vanishing gradient prevents learning In order to allow for an easily interpretable visualization, of so-called long-term dependencies in acceptable time the analysis will be restricted to one dimensional and (Hochreiter and Schmidhuber, 1997; Goodfellow et al., autonomous systems. Also, the GRU will be simplified by 2016), i.e. when huge time lags exist between input uk eliminating the reset gate f r from (6), such that x~k = x^k. and output y^k. Gated recurrent units, like LSTM and Taking the gradient of the RNN's state equation in (1) GRU were developed to solve this problem and have since w.r.t. wx yields then outperformed classical RNNs on virtually any task. @x^k+1 @x^k 0 However, it can be shown that the gradient also vanishes = (^xk + wx ) tanh (wxx^k + bx) : (7) @w @w · in gated recurrent units. Additionally, the vanishing of the x x gradient over time is a desirable property. In most systems, The gradient of the GRUs state equation (5) with respect the influence of a previous state x on the current state to wz is k−τ x^k decreases over time. Unless one wants to design a @x^k+1 0 @x^k = (1 tanh (^xk; θc)) σ (^xk; θz) x^k + wz marginally stable or unstable system, e.g. when performing @wz − @wz tasks like unbounded counting, or when dealing with large 0 @x^k dead times, the vanishing gradient has no negative effect + (1 σ (^xk; θz)) tanh (^xk; θc) ; @w on the optimization procedure. − z (8) 2.2 The Gated Recurrent Unit and with respect to wc @x^k+1 0 @x^k Gated Recurrent Unit (GRU) (Cho et al., 2014) is be- = σ (^xk; θz) (^xk tanh (^xk; θc)) @w @w − sides LSTM the most often applied architecture of gated c c @x^k recurrent units. The general concept of gated recurrent + σ (^xk; θz) units is to manipulate the state x^ through the addition @wc k or multiplication of the activations of so called gates, see 0 @x^k + (1 σ (^xk; θz)) tanh (^xk; θc) x^k + wc : figure 2.
Load more

Recommended publications
  • An Overview of Deep Learning Strategies for Time Series Prediction
    An Overview of Deep Learning Strategies for Time Series Prediction Rodrigo Neves Instituto Superior Tecnico,´ Lisboa, Portugal [email protected] June 2018 Abstract—Deep learning is getting a lot of attention in the last Jenkins methodology [2] and were developed mainly in the few years, mainly due to the state-of-the-art results obtained in area of econometrics and statistics. different areas like object detection, natural language processing, Driven by the rise of popularity and attention in the area sequential modeling, among many others. Time series problems are a special case of sequential data, where deep learning models of deep learning, due to the state-of-the-art results obtained can be applied. The standard option to this type of problems in several areas, Artificial Neural Networks (ANN), which are are Recurrent Neural Networks (RNNs), but recent results are non-linear function approximator, have also been receiving an supporting the idea that Convolutional Neural Networks (CNNs) increasing attention in time series field. This rise of popularity can also be applied to time series with good results. This raises is associated with the breakthroughs achieved in this area, with the following question - Which are the best attributes and architectures to apply in time series prediction problems? It was the successful application of CNNs and RNNs to sequential assessed which is the current state on deep learning applied to modeling problems, with promising results [3]. RNNs are a time-series and studied which are the most promising topologies type of artificial neural networks that were specially designed and characteristics on sequential tasks that are worth it to to deal with sequential tasks, and thus can be used on time be explored.
    [Show full text]
  • Improving Gated Recurrent Unit Predictions with Univariate Time Series Imputation Techniques
    (IJACSA) International Journal of Advanced Computer Science and Applications, Vol. 10, No. 12, 2019 Improving Gated Recurrent Unit Predictions with Univariate Time Series Imputation Techniques 1 Anibal Flores Hugo Tito2 Deymor Centty3 Grupo de Investigación en Ciencia E.P. Ingeniería de Sistemas e E.P. Ingeniería Ambiental de Datos, Universidad Nacional de Informática, Universidad Nacional Universidad Nacional de Moquegua Moquegua, Moquegua, Perú de Moquegua, Moquegua, Perú Moquegua, Perú Abstract—The work presented in this paper has its main Similarly to the analysis performed in [1] for LSTM objective to improve the quality of the predictions made with the predictions, Fig. 1 shows a 14-day prediction analysis for recurrent neural network known as Gated Recurrent Unit Gated Recurrent Unit (GRU). In the first case, the LANN (GRU). For this, instead of making different adjustments to the algorithm is applied to a 1 NA gap-size by rebuilding the architecture of the neural network in question, univariate time elements 2, 4, 6, …, 12 of the GRU-predicted series in order to series imputation techniques such as Local Average of Nearest outperform the results. In the second case, LANN is applied for Neighbors (LANN) and Case Based Reasoning Imputation the elements 3, 5, 7, …, 13 in order to improve the results (CBRi) are used. It is experimented with different gap-sizes, from produced by GRU. How it can be appreciated GRU results are 1 to 11 consecutive NAs, resulting in the best gap-size of six improve just in the second case. consecutive NA values for LANN and for CBRi the gap-size of two NA values.
    [Show full text]
  • Sentiment Analysis with Gated Recurrent Units
    Advances in Computer Science and Information Technology (ACSIT) Print ISSN: 2393-9907; Online ISSN: 2393-9915; Volume 2, Number 11; April-June, 2015 pp. 59-63 © Krishi Sanskriti Publications http://www.krishisanskriti.org/acsit.html Sentiment Analysis with Gated Recurrent Units Shamim Biswas1, Ekamber Chadda2 and Faiyaz Ahmad3 1,2,3Department of Computer Engineering Jamia Millia Islamia New Delhi, India E-mail: [email protected], 2ekamberc @gmail.com, [email protected] Abstract—Sentiment analysis is a well researched natural language learns word embeddings from unlabeled text samples. It learns processing field. It is a challenging machine learning task due to the both by predicting the word given its surrounding recursive nature of sentences, different length of documents and words(CBOW) and predicting surrounding words from given sarcasm. Traditional approaches to sentiment analysis use count or word(SKIP-GRAM). These word embeddings are used for frequency of words in the text which are assigned sentiment value by some expert. These approaches disregard the order of words and the creating dictionaries and act as dimensionality reducers in complex meanings they can convey. Gated Recurrent Units are recent traditional method like tf-idf etc. More approaches are found form of recurrent neural network which have the ability to store capturing sentence level representations like recursive neural information of long term dependencies in sequential data. In this tensor network (RNTN) [2] work we showed that GRU are suitable for processing long textual data and applied it to the task of sentiment analysis. We showed its Convolution neural network which has primarily been used for effectiveness by comparing with tf-idf and word2vec models.
    [Show full text]
  • Arxiv:1910.10202V2 [Cs.LG] 6 Aug 2021 Its Richer Representational Capacity
    COMPLEX TRANSFORMER: A FRAMEWORK FOR MODELING COMPLEX-VALUED SEQUENCE Muqiao Yang*, Martin Q. Ma*, Dongyu Li*, Yao-Hung Hubert Tsai, Ruslan Salakhutdinov Carnegie Mellon University, Pittsburgh, PA, USA fmuqiaoy, qianlim, dongyul, yaohungt, [email protected] ABSTRACT model because of their capability of looking at a more ex- tended range of input contexts and representing those in While deep learning has received a surge of interest in a va- different subspaces. Attention is, therefore, promising for riety of fields in recent years, major deep learning models building a complex-valued model capable of analyzing high- barely use complex numbers. However, speech, signal and dimensional data with long temporal dependency. We in- audio data are naturally complex-valued after Fourier Trans- troduce a Complex Transformer to solve complex-valued form, and studies have shown a potentially richer represen- sequence modeling tasks, including prediction and genera- tation of complex nets. In this paper, we propose a Com- tion. The Complex Transformer adapts complex representa- plex Transformer, which incorporates the transformer model tions and operations into the transformer network. We test as a backbone for sequence modeling; we also develop at- the model with MusicNet, a dataset for music transcription tention and encoder-decoder network operating for complex [14], and a complex high-dimensional time series In-phase input. The model achieves state-of-the-art performance on Quadrature (IQ) signal dataset. The specific contributions of the MusicNet dataset and an In-phase Quadrature (IQ) sig- our work are as follows: nal dataset. The GitHub implementation to reproduce the ex- Our Complex Transformer achieves state-of-the-art re- perimental results is available at https://github.com/ sults on the MusicNet dataset [14], a dataset of classical mu- muqiaoy/dl_signal.
    [Show full text]
  • Convolutional Gated Recurrent Neural Network Incorporating Spatial Features for Audio Tagging
    Convolutional Gated Recurrent Neural Network Incorporating Spatial Features for Audio Tagging Yong Xu Qiuqiang Kong Qiang Huang Wenwu Wang Mark D. Plumbley Center for Vision, Speech and Sigal Processing University of Surrey, Guildford, UK Email: fyong.xu, q.kong, q.huang, w.wang, [email protected] Abstract—Environmental audio tagging is a newly proposed Fourier basis. Recent research [10] suggests that the Fourier task to predict the presence or absence of a specific audio event basis sets may not be optimal and better basis sets can be in a chunk. Deep neural network (DNN) based methods have been learned from raw waveforms directly using a large set of audio successfully adopted for predicting the audio tags in the domestic audio scene. In this paper, we propose to use a convolutional data. To learn the basis automatically, convolutional neural neural network (CNN) to extract robust features from mel-filter network (CNN) is applied on the raw waveforms which is banks (MFBs), spectrograms or even raw waveforms for audio similar to CNN processing on the pixels of the image [13]. tagging. Gated recurrent unit (GRU) based recurrent neural Processing raw waveforms has seen many promising results networks (RNNs) are then cascaded to model the long-term on speech recognition [10] and generating speech and music temporal structure of the audio signal. To complement the input information, an auxiliary CNN is designed to learn on the spatial [14], with less research in non-speech sound processing. features of stereo recordings. We evaluate our proposed methods Most audio tagging systems [8], [15], [16], [17] use mono on Task 4 (audio tagging) of the Detection and Classification channel recordings, or simply average the multi-channels as of Acoustic Scenes and Events 2016 (DCASE 2016) challenge.
    [Show full text]
  • Gate Recurrent Unit, Long Short-Term Memory
    GATE RECURRENT UNIT, LONG SHORT-TERM MEMORY Asst.Prof.Dr.Supakit Nootyaskool IT-KMITL Topics • Concept of Gate Recurrent Unit • Concept of Long Short-Term Memory Unit • Modify trainr() for GRU and LSTM • Development trainr() • Example LSTM in C lanugage REVIEW RECURRENT NEURAL NETWORK Define vectors 0 0 1 0 1 0 1 0 0 1 0 0 1 NN NN 0 1 1 0 0 NN 1 0 0 0 1 NN 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 Driving Schedule 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 Monday 0 0 1 0 0 1 1 0 0 1 0 Yesterday 0 1 0 Today 0 1 0 0 1 Driving on Thursday 0 0 1 0 1 0 0 0 1 1 0 0 Monday 1 0 0 1 0 1 Driving on Thursday 0 0 1 0 1 0 0 0 1 1 0 0 Monday 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 Driving on Thursday 0 0 1 0 1 0 0 0 1 1 0 0 Monday 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 RNN 1 0 0 1 0 1 0 0 1 1 0 y = label output 0 0 1 0 0 1 0 0 1 RNN 1 0 0 h = hidden activation x = Feature vector 1 0 1 0 0 1 1 0 RNN RNN [Wh] [W1; h0] [bh] RNN [Wh] [W1; h0] [bh] RNN y1 h1 RNN y1 [Wy] [h1] [by] h1 Softmax z = seq(0,5,by=0.2) softmax <- exp(z)/sum(exp(z)) plot(z,softmax,type='l') RNNs RNN usages "1" RNN "a" • Mapping sequence X and Y RNN "b" • Sentiment analysis "2" the product is a good quality and spending long "3" RNN "c" time for the delivery process.
    [Show full text]
  • Hate Speech Detection for Indonesia Tweets Using Word Embedding and Gated Recurrent Unit
    IJCCS (Indonesian Journal of Computing and Cybernetics Systems) Vol.13, No.1, January 2019, pp. 43~52 ISSN (print): 1978-1520, ISSN (online): 2460-7258 DOI: https://doi.org/10.22146/ijccs.40125 43 Hate Speech Detection for Indonesia Tweets Using Word Embedding And Gated Recurrent Unit Junanda Patihullah*1, Edi Winarko2 1Program Studi S2 Ilmu Komputer FMIPA UGM, Yogyakarta, Indonesia 2Departemen Ilmu Komputer dan Elektronika, FMIPA UGM, Yogyakarta, Indonesia e-mail: *[email protected], [email protected] Abstrak Media sosial telah mengubah cara orang dalam mengekspresikan pemikiran dan suasana hati. Seiring meningkatnya aktifitas pengguna sosial media, tidak menutup kemungkinan tindak kejahatan penyebaran ujaran kebencian dapat menyebar secara cepat dan meluas. Sehingga tidak memungkinkan untuk mendeteksi ujaran kebencian secara manual. Metode Gated Recurrent Unit (GRU) adalah salah satu metode deep learning yang memiliki kemampuan mempelajari hubungan informasi dari waktu sebe- lumnya dengan waktu sekarang. Pada penelitian ini fitur ekstraksi yang digunakan ada- lah word2vec, karena memiliki kemampuan mempelajari semantik antar kata. Pada penelitian ini kinerja metode GRU dibandingkan dengan metode supervised lainnya seperti Support Vector Machine, Naive Bayes, Random Forest dan Regresi logistik. Hasil yang didapat menunjukkan akurasi terbaik dari GRU dengan fitur word2vec ada- lah sebesar 92,96%. Penggunaan word2vec pada metode pembanding memberikan hasil akurasi yang lebih rendah dibandingkan dengan penggunaan fitur TF dan TF- IDF. Kata kunci—Gated Recurrent Unit, hate speech, word2vec, RNN, Word Embedding Abstract Social media has changed the people mindset to express thoughts and moods. As the activity of social media users increases, it does not rule out the possibility of crimes of spreading hate speech can spread quickly and widely.
    [Show full text]
  • Gated Recurrent Neural Network and Capsule Network Based Approach for Implicit Emotion Detection
    Sentylic at IEST 2018: Gated Recurrent Neural Network and Capsule Network Based Approach for Implicit Emotion Detection Prabod Rathnayaka, Supun Abeysinghe, Chamod Samarajeewa Isura Manchanayake, Malaka Walpola Department of Computer Science and Engineering University of Moratuwa, Sri Lanka fprabod.14,supun.14,chamod.14,isura.14,[email protected] Abstract ing emojis or hashtags present in the text i.e. dis- tance supervision techniques (Felbo et al., 2017). In this paper, we present the system we have However, these features can be unreliable due to used for the Implicit WASSA 2018 Implicit noise, thus affect the accuracy of the results. Emotion Shared Task. The task is to pre- dict the emotion of a tweet of which the ex- Although explicit words related to emotions plicit mentions of emotion terms have been re- (happy, sad, etc.) in a document directly affect the moved. The idea is to come up with a model emotion detection task, other linguistic features which has the ability to implicitly identify the play a major role as well. Implicit Emotion Recog- emotion expressed given the context words. nition Shared Task introduced in Klinger et al. We have used a Gated Recurrent Neural Net- (2018) aims at developing models which can clas- work (GRU) and a Capsule Network based sify a text into one of the emotions; Anger, Fear, model for the task. Pre-trained word embed- dings have been utilized to incorporate con- Sadness, Joy, Surprise, Disgust without having ac- textual knowledge about words into the model. cess to an explicit mention of an emotion word.
    [Show full text]
  • Learning Over Long Time Lags
    Learning Over Long Time Lags Hojjat Salehinejad University of Ontario Institute of Technology [email protected] Abstract The advantage of recurrent neural networks (RNNs) in learning dependencies between time-series data has distinguished RNNs from other deep learning models. Recently, many advances are proposed in this emerging field. However, there is a lack of comprehensive review on memory models in RNNs in the literature. This paper provides a fundamental review on RNNs and long short term memory (LSTM) model. Then, provides a surveys of recent advances in different memory enhancements and learning techniques for capturing long term dependencies in RNNs. Keywords: Long-short term memory, Long-term dependency, Recurrent neural networks, Time-series data. 1. Introduction With the explosion of large data sets, known as “big data”, the conventional machine learning methods have hardship to process data for further processing and decision making tasks. The development of computational machines such as cluster computers and graphical processing units (GPUs) have facilitated advances in novel machine learning methods, such as deep neural networks (ANNs). The multi-layer perceptron artificial neural networks (MLP-ANNs) are promising methods for non-linear temporal applications [37]. Deep learning in neural networks is a representation technique with the ability of receiving input data and finding its representation for further processing and decision making. Such machines are made from non-linear but simple units, which can provide different levels of data representation through their multi-layer architecture. The higher layers provide a more abstract representation of data and suppresses irrelevant variations [33]. Many naturally occurring phenomena are complex and non-local sequences such as music, speech, or human motion are inherently sequential [7].
    [Show full text]
  • Email Spam Classification Using Gated Recurrent Unit and Long Short-Term Memory
    Journal of Computer Science Original Research Paper Email Spam Classification Using Gated Recurrent Unit and Long Short-Term Memory Iqbal Basyar, Adiwijaya and Danang Triantoro Murdiansyah School of Computing, Telkom University, Bandung, Indonesia Article history Abstract: High numbers of spam emails have led to an increase in email Received: 09-08-2019 triage, causing losses amounting to USD 355 million per year. One way to Revised: 06-01-2020 reduce this loss is to classify spam email into categories including fraud or Accepted: 02-04-2020 promotions made by unwanted parties. The initial development of spam email classification was based on simple methods such as word filters. Corresponding Author: Danang Triantoro Murdiansyah Now, more complex methods have emerged such as sentence modeling School of Computing, Telkom using machine learning. Some of the most well-known methods for dealing University, Bandung Indonesia with the problem of text classification are networks with Long Short-Term Email: [email protected] Memory (LSTM) and Gated Recurrent Units (GRU). This study focuses on the classification of spam emails, so both the LTSM and GRU methods were used. The results of this study show that, under the scenario without dropout, the LSTM and GRU obtained the same accuracy value of 0.990183, superior to XGBoost, the base model. Meanwhile, in the dropout scenario, LSTM outperformed GRU and XGboost with each obtaining an accuracy of 98.60%, 98.58% and 98.52%, respectively. The GRU recall score was better than that of LSTM and XGBoost in the scenario with dropouts, each obtaining values of 98.98%, 98.92% and 98.15% respectively.
    [Show full text]
  • A Quaternion Gated Recurrent Unit Neural Network for Sensor Fusion
    information Article A Quaternion Gated Recurrent Unit Neural Network for Sensor Fusion Uche Onyekpe 1,*, Vasile Palade 1 , Stratis Kanarachos 2 and Stavros-Richard G. Christopoulos 2 1 Research Centre for Data Science, Coventry University, Coventry CV1 5FB, UK; [email protected] 2 Faculty of Engineering and Computing, Coventry University, Coventry CV1 5FB, UK; [email protected] (S.K.); [email protected] (S.-R.G.C.) * Correspondence: [email protected] Abstract: Recurrent Neural Networks (RNNs) are known for their ability to learn relationships within temporal sequences. Gated Recurrent Unit (GRU) networks have found use in challenging time-dependent applications such as Natural Language Processing (NLP), financial analysis and sensor fusion due to their capability to cope with the vanishing gradient problem. GRUs are also known to be more computationally efficient than their variant, the Long Short-Term Memory neural network (LSTM), due to their less complex structure and as such, are more suitable for applications requiring more efficient management of computational resources. Many of such applications require a stronger mapping of their features to further enhance the prediction accuracy. A novel Quaternion Gated Recurrent Unit (QGRU) is proposed in this paper, which leverages the internal and external dependencies within the quaternion algebra to map correlations within and across multidimensional features. The QGRU can be used to efficiently capture the inter- and intra-dependencies within multidimensional features unlike the GRU, which only captures the dependencies within the se- quence. Furthermore, the performance of the proposed method is evaluated on a sensor fusion problem involving navigation in Global Navigation Satellite System (GNSS) deprived environments as well as a human activity recognition problem.
    [Show full text]
  • Bidirectional Gated Recurrent Unit Neural Network for Chinese Address Element Segmentation
    International Journal of Geo-Information Article Bidirectional Gated Recurrent Unit Neural Network for Chinese Address Element Segmentation Pengpeng Li 1,2, An Luo 2,3,*, Jiping Liu 1,2, Yong Wang 1,2, Jun Zhu 1, Yue Deng 4 and Junjie Zhang 3 1 Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu 610031, China; [email protected] (P.L.); [email protected] (J.Z.) 2 Research Center of Government GIS, Chinese Academy of Surveying and Mapping, Beijing 100830, China; [email protected] (J.L.); [email protected] (Y.W.) 3 School of Marine Technology and Geomatics, Jiangsu Ocean University, Lianyungang 222005, China; [email protected] 4 School of Resource and Environmental Sciences, Wuhan University, Wuhan 430079, China; [email protected] * Correspondence: [email protected] Received: 10 September 2020; Accepted: 21 October 2020; Published: 26 October 2020 Abstract: Chinese address element segmentation is a basic and key step in geocoding technology, and the segmentation results directly affect the accuracy and certainty of geocoding. However, due to the lack of obvious word boundaries in Chinese text, the grammatical and semantic features of Chinese text are complicated. Coupled with the diversity and complexity in Chinese address expressions, the segmentation of Chinese address elements is a substantial challenge. Therefore, this paper proposes a method of Chinese address element segmentation based on a bidirectional gated recurrent unit (Bi-GRU) neural network. This method uses the Bi-GRU neural network to generate tag features based on Chinese word segmentation and then uses the Viterbi algorithm to perform tag inference to achieve the segmentation of Chinese address elements.
    [Show full text]