Abstract: Graph invariant learning (GIL) seeks invariant relations between graphs and labels under distribution shifts. Recent works try to extract an invariant subgraph to improve out-of-distribution ...

Grok 3 has caught up with its competitors, but is it enough to convert ChatGPT users? Credit: Matteo Della Torre / NurPhoto / Getty Images Now that Grok 3 from Elon Musk's xAI is officially live, how ...

ABSTRACT: Graph burning is a model to describe the spread of social influence. In 2023, Song et al. proposed the Independent Cascade Graph Burning model, where a vertex v can be burned by its burning ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

It's highly recommended to recruit Aza before completing this quest. Aza's companion quest requires you to clear out the N-Ray Range anyway, so you can kill two birds with one stone. Acquire the N-Ray ...

Point-in-time audits fail in composable, adversarial markets. AI-powered continuous assurance using solvers and simulation replaces episodic security checks. AI for coding has achieved product-market ...

The “Discrete Mathematics” quest in The Outer Worlds 2 comes with a hefty stack of obstacles, starting with its pickup point. You’ll have to avoid explosives, defeat invisible enemies, and solve a ...

Many successful machine learning models for molecular property prediction rely on Lewis structure representations, commonly encoded as SMILES strings. However, a key limitation arises with molecules ...

ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinatorially modeled as ...