MicroCloud Hologram Inc. (NASDAQ: HOLO), (“HOLO” or the “Company”), a technology service provider, has announced a groundbreaking achievement of great theoretical and engineering significance: its ...

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

At first glance, linear algebra and numerical analysis often appear as separate domains of mathematics. One deals with vectors, matrices, and transformations. The other focuses on approximations, ...

Every morning, millions wake up to curated playlists, personalized feeds, and algorithmic recommendations. Yet most remain unaware of the invisible architects orchestrating these experiences.

A method of near-minimax polynomial approximation is described. As a by-product, this method provides a formula for an estimate of the maximum error associated with a ...

Abstract: Network Function Virtualization (NFV) has the potential for cost-efficiency, manage-convenience, and flexibility services but meanwhile poses challenges for the service function chain (SFC) ...

Abstract: In applied and numerical algebraic geometry, many problems are reduced to computing an approximation to a real algebraic curve. In order to elevate the results of such a computation to the ...

Every day, researchers search for optimal solutions. They might want to figure out where to build a major airline hub. Or to determine how to maximize return while minimizing risk in an investment ...

Last year, fashion publications wrote extensively about the impact of the algorithm on personal style. (Vogue Business included.) In last year’s fashion conversation, ‘the algorithm’ surpassed its ...

We introduce a globally convergent sequential linear programming method for nonlinear programming. The algorithm is applied to the solution of classic topology optimization problems, as well as to the ...

We propose the Trust Region Preference Approximation (TRPA) algorithm ⚙️, which integrates rule-based optimization with preference-based optimization for LLM reasoning tasks 🤖🧠. As a ...

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution ...