Design a cutting-edge and distinctive AI logo for a high-end clothing brand named "HASHI PARIS." The logo should seamlessly blend futuristic aesthetics with Parisian chic, reflecting the brand's commitment to innovation and style. Incorporate elements that evoke the essence of artificial intelligence while maintaining a sophisticated and fashion-forward appeal. Consider using a sleek and modern color palette that complements the brand's identity. The final design should resonate with a diverse audience, capturing the essence of HASHI PARIS as a trendsetter in the fashion industry.