British mathematician Jack Good coined the term “intelligence explosion” 61 years ago to describe what would happen when an intelligent machine entered a runaway cycle of fully automated ...

The companies at the frontier of artificial intelligence should be ready to slow down, one of the fastest-moving among them says. Anthropic, the maker of the Claude chatbot, has claimed AI systems may ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly challenging class of mathematical problems with broad implications for ...

Abstract: Particle Flow Filters estimate the “a posteriori” probability density function (PDF) by moving an ensemble of particles according to the likelihood. Particles are propagated under the system ...

The Sri Yantra, also known as the Sri Chakra, represents one of the most sophisticated geometric expressions within the Vedic tradition. Rooted in the metaphysical framework of Sanatana Dharma and ...

Download PDF Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal ...

The AoPA library allows one to encode Algebra of Programming (BdM97) style program derivation, both functional and relational, in Agda. Since the 90s, the program derivation community has been ...

In Hans Christian Andersen's folktale, The Emperor's New Clothes, when a child cries out that the emperor is naked, he isn't revealing a secret. Everyone already knows it. What changes in that instant ...

Traditional methods for diagnosing chronic kidney disease (CKD) via laboratory data may not be capable of identifying early kidney disease. Kidney biopsy is unsuitable for regular screening, and ...