From the 1 of 6 linked papers with an AI index.
6 papers
CNOT-Distance is NP-complete under all-to-all connectivity
Antonio Acuaviva, Arturo Acuaviva, Pablo Acuaviva
Given and an integer , we ask whether can be implemented by at most CNOT gates on fixed labelled wires with all-to-all connectivity. We prov…
Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory
Antonio Acuaviva, Pablo Acuaviva
We investigate the capacity of current language models to contribute to mathematical research. In Banach space theory, AI systems generated key ideas and proofs for five new result…
A Unital Banach Algebra Which Is Not a Calkin Algebra
Antonio Acuaviva, Pablo Acuaviva
The authors construct a unital Banach algebra of continuum density with exactly one non‑zero proper closed two‑sided ideal and prove that it cannot be isomorphic to any Calkin alge…
Communication-Inspired Tokenization for Structured Image Representations
Aram Davtyan, Yusuf Sahin, Yasaman Haghighi +4
Discrete image tokenizers have emerged as a key component of modern vision and multimodal systems, providing a sequential interface for transformer-based architectures. However, mo…
Rethinking Visual Intelligence: Insights from Video Pretraining
Pablo Acuaviva, Aram Davtyan, Mariam Hassan +4
Large language models (LLMs) have demonstrated that large-scale pretraining enables systems to adapt rapidly to new problems with little supervision in the language domain. This su…
From Generation to Generalization: Emergent Few-Shot Learning in Video Diffusion Models
Pablo Acuaviva, Aram Davtyan, Mariam Hassan +4
Video Diffusion Models (VDMs) have emerged as powerful generative tools, capable of synthesizing high-quality spatiotemporal content. Yet, their potential goes far beyond mere vide…