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In the traditional public key cryptosystem based on certificates, the issuance and management of usercertificates are realized through the authoritative certificate center, but amount of time is spent in thetransmission and verification of user public key certificates. After a malicious user obtaining legitimate users’private keys, he can select a secret value and signature process to generate the final private key, public key and signature. And he will announce that he is the legal user, while others are unable to distinguish this process. This is the defect of traditional digital signature scheme without certificate. Therefore, this paper proposes a certificateless short signature scheme based on integrated neural networks and elliptic curve cryptography for secure data fusion analysis. The security of the solution is based on Inv-CDH problem. The complete securityproof is given under the stochastic predictor model. It is proved that the new model can resist existence forgery in adaptive selective message attack with new adversary. Experiment results show that the calculation amount of our proposed certificateless short signature scheme is small and the efficiency is high compared with other state-of-the-art schemes.