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Throughout the past decade, the researchers have developed many a number of intrusion detection systems. Some of these were developed to work on host based and some were network-based intrusion detection systems. The presented systems are combination of HIDS/NIDS and signature/anomaly based, or hybrid systems. The intrusion detection system is an intelligence system known as computational intelligence. The main goal of computational intelligence is to provide solutions to complex real-world problems. An effective IDS must use more than standard mathematical techniques and conventional analysis methods combined with soft computing techniques to synergistically create a more robust IDS. In this paper, we review three important areas of research that have significant implication for proposed framework. First, we review existing shallow learning intrusion detection systems both in machine and deep learning. In the second section, we review existing hybrid intrusion detection systems. Finally, we provide some findings and analysis of the literature studies.