Piple: AI to Kekkon Seikatsu Hajimemashita

Set in Kyoto in the year 2030 and looks at a new form of "love." Businessman Kenichi Tsumiki marries a humanoid AI, Pipuru, after failing to secure a relationship with a fellow employee and long-time crush. He brings his new bride home only to be rejected on his wedding night. He brings the AI to its developer, the cold researcher Kaede MIyama and discovers there's a problem in Pipuru's settings but it can't be changed.
(Source: ANN)
~~ Adapted from the novel "Pipuru" by Mariru Harada.