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ABSTRACT: Convex analysis plays a fundamental role in mathematics. In this paper, we extend the concept of convexity to vector-valued functions in Banach lattices. We introduce the notion of “order ...

Fixed-Dimensional Encoding (FDE) solves a fundamental problem in modern search systems: how to efficiently search through billions of documents when each document is represented by hundreds of vectors ...

Abstract: In this paper, an adaptive algorithm is proposed for identifying the unknown parameters in a stable linear single-input single-output (SISO) infinite-dimensional system. First, the transfer ...

Even though traditional databases now support vector types, vector-native databases have the edge for AI development. Here’s how to choose. AI is turning the idea of a database on its head.

Google’s June 2025 Core Update just finished. What’s notable is that while some say it was a big update, it didn’t feel disruptive, indicating that the changes may have been more subtle than game ...

Generative AI is revolutionizing data and analytics, but its applications demand advanced data management capabilities to handle vast, diverse, and complex datasets that include images, video, audio, ...