With the rise of cryptocurrencies, blockchain, which is the underlying technology of them, has gained more attention and been used in the Internet of Things (IoT) and other fields. However, there are bottlenecks that hinder its application, such as the storage capacity. Due to the large number of IoT devices which always act as data generators in many systems, the transactions will be generated at a high rate. The storage problem will be more serious in IoT. In this article, to expand the capacity of blockchain, for each peer, we select old blocks which are created previously and less likely to be queried and store them in the cloud. Based on this idea, we develop objective functions related to query probability, storage cost, and local space occupancy, which naturally narrows down the problem to block selection. The results can be obtained by solving a multiobjective optimization problem. We design a nondominated sorting genetic algorithm with clustering (NSGA-C), which changes the method of selecting individuals from the critical dominance layer by adding clustering to ensure diversity. A suitable solution can be selected from the Pareto set to fulfil the requirements of different users. We then compare the algorithm with the improved NSGA-II and NSGA-III, which both add integer constraints to the decision variables. The results show that our method is better than NSGA-II and NSGA-III in terms of local space occupancy in the blockchain application. In addition, it can also effectively avoid the risk of block overflow.

Federated learning (FL) is a distributed machine learning framework, which allows multiple users to collaboratively train and obtain a global model with high accuracy. Currently, FL is paid more attention by researchers and a growing number of protocols are proposed. This article first analyzes the security vulnerabilities of the VerifyNet and VeriFL protocols, and proposes a new aggregation protocol for FL. We use additive homomorphic encryption and double masking to simultaneously protect the user’s local model and the aggregated global model while most of the existing protocols only consider the privacy of the local model. Also, linear homomorphic hash and digital signature are used to achieve traceable verification, which means the users can not only verify the aggregation results, but also be able to identify the wrong epoch if the results are wrong. In summary, our protocol can realize the privacy of the local model and global model and achieve verification traceability even if the cloud server colludes with malicious users. The experimental results show that the proposed protocol improves the security of FL without decreasing the efficiency of the users and classification accuracy of the training model.

Multiview clustering has received great attention and numerous subspace clustering algorithms for multiview data have been presented. However, most of these algorithms do not effectively handle high-dimensional data and fail to exploit consistency for the number of the connected components in similarity matrices for different views. In this article, we propose a novel consistency-induced multiview subspace clustering (CiMSC) to tackle these issues, which is mainly composed of structural consistency (SC) and sample assignment consistency (SAC). To be specific, SC aims to learn a similarity matrix for each single view wherein the number of connected components equals to the cluster number of the dataset. SAC aims to minimize the discrepancy for the number of connected components in similarity matrices from different views based on the SAC assumption, that is, different views should produce the same number of connected components in similarity matrices. CiMSC also formulates cluster indicator matrices for different views, and shared similarity matrices simultaneously in an optimization framework. Since each column of similarity matrix can be used as a new representation of the data point, CiMSC can learn an effective subspace representation for the high-dimensional data, which is encoded into the latent representation by reconstruction in a nonlinear manner. We employ an alternating optimization scheme to solve the optimization problem. Experiments validate the advantage of CiMSC over 12 state-of-the-art multiview clustering approaches, for example, the accuracy of CiMSC is 98.06% on the BBCSport dataset.