The Lenstra–Lenstra–Lovász (LLL) Algorithm is a Polynomial-Time Algorithm that Finds a Short and Nearly Orthogonal Basis of a Lattice, which is Used for Applications Like Factoring Polynomials, ...

This paper proposes an exact method to solve an integer indefinite quadratic bilevel problem with multiple objectives at the upper level, where the objective functions at both levels are a product of ...

$$ \begin{array}{ll} \underset{x \in \mathbb{R}^n}{\min} \quad & \langle c, x \rangle \\ \text{s.t.} \quad & L \leq A x \leq U, \\ & l \leq x \leq u . \end{array ...

When WarnerMedia and Discovery Inc. merged back in 2022, the rationale was that the combination would put the companies in a better position to compete against Netflix, Disney and others that were ...

Yann LeCun’s argues that there are limitations of chain-of-thought (CoT) prompting and large language model (LLM) reasoning. LeCun argues that these fundamental limitations will require an entirely ...

Artificial intelligence has witnessed a remarkable surge, captivating researchers, product teams, and end users alike with its transformative potential. But despite its recent popularity, AI is only ...

Bitcoin miners don't solve complex math problems - they guess numbers. While "solving mathematical puzzles" has become a common description of bitcoin mining, the process more closely resembles a ...

There’s little doubt that some of the most important pillars of modern cryptography will tumble spectacularly once quantum computing, now in its infancy, matures sufficiently. Some experts say that ...

Integer Linear Programming (ILP) is the foundation of combinatorial optimization, which is extensively applied across numerous industries to resolve challenging decision-making issues. Under a set of ...