You are provided with the abstract of a scientific paper and the abstracts of the papers it references. Your task is to write a Related Work section for the main paper. This section should concisely summarize and integrate the key points from the cited abstracts, reflecting how they relate to the main paper's contributions and context. In your summary, use numerical citation markers like [1], [2], etc., to refer to the corresponding papers.

Main Abstract:
The Long Short-Term Memory (LSTM) recurrent neural network is capable of processing complex sequential information since it utilizes special gating schemes for learning representations from long input sequences. It has the potential to model any sequential time-series data, where the current hidden state has to be considered in the context of the past hidden states. This property makes LSTM an ideal choice to learn the complex dynamics present in long sequences. Unfortunately, the conventional LSTMs do not consider the impact of spatio-temporal dynamics corresponding to the given salient motion patterns, when they gate the information that ought to be memorized through time. To address this problem, we propose a differential gating scheme for the LSTM neural network, which emphasizes on the change in information gain caused by the salient motions between the successive video frames. This change in information gain is quantified by Derivative of States (DoS), and thus the proposed LSTM model is termed as differential Recurrent Neural Network (dRNN). In addition, the original work used the hidden state at the last time-step to model the entire video sequence. Based on the energy profiling of DoS, we further propose to employ the State Energy Profile (SEP) to search for salient dRNN states and construct more informative representations. The effectiveness of the proposed model was demonstrated by automatically recognizing human actions from the real-world 2D and 3D single-person action datasets. We point out that LSTM is a special form of dRNN. As a result, we have introduced a new family of LSTMs. Our study is one of the first works towards demonstrating the potential of learning complex time-series representations via high-order derivatives of states.

Cited Abstract(s):
[1]: In this paper, we address the problem of recognizing group activities of human objects based on their motion trajectory analysis. In order to resolve the complexity and ambiguity problems caused by a large number of human objects, we propose a Group Interaction Zone (GIZ) to detect meaningful groups in a scene to effectively handle noisy information. Two novel features, Group Interaction Energy (GIE) feature and Attraction and Repulsion Features, are proposed to better describe group activities within a GIZ. We demonstrate the performance of our method in two ways by (i) comparing the performance of the proposed method with the previous methods and (ii) analyzing the influence of the proposed features and GIZ-based meaningful group detection on group activity recognition using public datasets.

[2]: The aim of this paper is to address the problem of recognizing human group activities in surveillance videos. This task has great potentials in practice, however was rarely studied due to the lack of benchmark database and the difficulties caused by large intra-class variations. Our contributions are two-fold. Firstly, we propose to encode the group-activities with three types of localized causalities, namely self-causality, pair-causality, and group-causality, which characterize the local interaction reasoning relations within, between, and among motion trajectories of different humans respectively. Each type of causality is expressed as a specific digital filter, whose frequency responses then constitute the feature representation space. Finally, each video clip of certain group activity is encoded as a bag of localized causalities filters. We also collect a human group-activity video database, which involves six popular group activity categories with about 80 video clips for each in average, captured in five different sessions with varying numbers of participants. Extensive experiments on this database based on our proposed features and different classifiers show the promising results on this challenging task.

[3]: Human group activity recognition has drawn the attention of researchers worldwide because of the significant role it plays in many applications, including video surveillance and public security. Existing solutions for group activity recognition rely on human detection and tracking. To ensure high detection accuracy, current state-of-the-art tracking techniques require human supervision to identify objects of interest before automatic tracking can take place. This limitation has prevented existing approaches from being used in real-world applications. In scenarios when human supervision is unavailable, tracking algorithms could generate inaccurate trajectories and cause a decrease in performance for the existing group analysis methods. To address the aforementioned drawbacks, we investigate in this paper an end-to-end deep model, Differential Recurrent Convolutional Neural Networks (DRCNN). Our model consists of convolutional neural networks (CNN) and stacked differential long short-term memory (DLSTM) networks. It takes sequential raw video data as input and does not consider each group member as an individual object. Different from traditional non-end-to-end solutions which separate the steps of feature extraction and parameter learning, DRCNN utilizes a unified deep model to optimize the parameters of CNN and LSTM hand in hand. It thus has the potential of generating a more harmonious model. In addition, taking advantage of the semantic representation of CNN and the memory states of DLSTM, DRCNN has strong capabilities in understanding complex scene semantics and group dynamics. Extensive experimental studies indicate that the proposed technique can accomplish the task of fully automatic group activity recognition without sacrificing performance, and even outperforms the human-aided state-ofthe- art methods on two benchmark group activity datasets. To the best of our knowledge, this is the first end-to-end group activity recognition technique ever proposed.

[4]: Human actions are important contents which are helpful for video analysis and interpretation. Recently, notable methods have been proposed to recognize individual actions and pair's interactions, whereas recognizing more complex actions involving multiple persons remains a challenge. In this paper, we focus on the actions performed by a small group that consists of countable persons who generally act with correlative purposes. To cope with the varying number of participants and the inherent interactions within the group, we propose a layered model to describe the discriminative characteristics at different granularities and present each layer with uniform statistical representation. Depending on this model, we can flexibly represent group actions with arbitrary features at different action scales. Gaussian processes are employed to represent motion trajectories from a probabilistic perspective to handle the variability of movements within the group. Moreover, we take discriminative appearance information into account and depict participants’ visual “style” features and group's “shape” characters. Taking advantage of multiple cues from different levels, our approach can better represent group actions and improve the recognition accuracy. Experiments on two human group action datasets demonstrate the validity of our approach, as we achieve the state-of-the-art performance on NUS-HGA dataset and satisfactory results on Behave dataset.

[5]: Activity understanding plays an essential role in video content analysis and remains a challenging open problem. Most of previous research is limited due to the use of excessively localized features without sufficiently encapsulating the interaction context or focus on simply discriminative models but totally ignoring the interaction patterns. In this paper, a new approach is proposed to recognize human group activities. Firstly, we design a new quaternion descriptor to describe the interactive insight of activities regarding the appearance, dynamic, causality and feedback, respectively. The designed descriptor is capable of delineating the individual and pairwise interactions in the activities. Secondly, considering both activity category and interaction variety, we propose an extended pLSA (probabilistic Latent Semantic Analysis) model with two hidden variables. This extended probabilistic graphic paradigm constructed on the quaternion descriptors facilitates the effective inference of activity categories as well as the exploration of activity interaction patterns. The experiments on the realistic movie and human activity databases validate that the proposed approach outperforms the state-of-the-art results.

[6]: 

[7]: In this work we investigate the effect of the convolutional network depth on its accuracy in the large-scale image recognition setting. Our main contribution is a thorough evaluation of networks of increasing depth using an architecture with very small (3x3) convolution filters, which shows that a significant improvement on the prior-art configurations can be achieved by pushing the depth to 16-19 weight layers. These findings were the basis of our ImageNet Challenge 2014 submission, where our team secured the first and the second places in the localisation and classification tracks respectively. We also show that our representations generalise well to other datasets, where they achieve state-of-the-art results. We have made our two best-performing ConvNet models publicly available to facilitate further research on the use of deep visual representations in computer vision.
Most existing approaches of group activity recognition are based on motion trajectories of group participants. Ni [2] applied motion trajectory segments as inputs and used frequency responses of digital filters to represent the motion information. Zhu [5] considered motion trajectory as a dynamic system and used the Markov stationary distribution to acquire local appearance features as a descriptor of group action. Chu [6] designed an algorithm to model the trajectories as series of heat sources to create a heat map for representing group actions. Cho [1] addressed the problem by using group interaction zones to detect meaningful groups to handle noisy information. Cheng [4] proposed a layered model of human group action and represented activity patterns with both motion and appearance information. Their performance on NUS-HGA achieved an accuracy of 96.20 [3] used a combination of Deep VGG network [7] and stacked LSTMs. Their model complexity is high and has a large chance of overfitting. In this case, their model is trained on augmented data thus cannot be fairly compared with other methods.