Results 51 to 60 of about 7,886 (170)
Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source
The Zeta Function of a Hypergraph [PDF]
, 2006 We generalize the Ihara-Selberg zeta function to hypergraphs in a natural way. Hashimoto's factorization results for biregular bipartite graphs apply, leading to exact factorizations.
Storm, Christopher K.
core +2 more sources
Woven Graph Codes: Asymptotic Performances and Examples
, 2008 Constructions of woven graph codes based on constituent block and convolutional codes are studied. It is shown that within the random ensemble of such codes based on $s$-partite, $s$-uniform hypergraphs, where $s$ depends only on the code rate, there ...
Bocharova, Irina E. +3 more
core +3 more sources
Regularity inheritance in hypergraphs
, 2019 We give a new approach to handling hypergraph regularity. This approach allows for vertex-by-vertex embedding into regular partitions of hypergraphs, and generalises to regular partitions of sparse hypergraphs. We also prove a corresponding sparse hypergraph regularity lemma.
Allen, Peter +2 more
openaire +2 more sources
Regular and totally regular bipolar fuzzy hypergraphs
Applied Mathematical Sciences, 2014 In this paper, the concepts of regular bipolar fuzzy hypergraphs and totally regular bipolar fuzzy hypergraphs are introduced. We prove necessary and sufficient condition under which regular bipolar fuzzy hypergraphs and totally regular bipolar fuzzy hypergraphs are equivalent.
S. Narayanamoorthy +4 more
openaire +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
, 2015 Let $\mathcal{A(}G\mathcal{)},\mathcal{L(}G\mathcal{)}$ and $\mathcal{Q(}% G\mathcal{)}$ be the adjacency tensor, Laplacian tensor and signless Laplacian tensor of uniform hypergraph $G$, respectively.
Qi, Liqun, Shao, Jiayu, Yuan, Xiying
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Regular Subgraphs of Linear Hypergraphs
International Mathematics Research NoticesAbstract We prove that the maximum number of edges in a 3-uniform linear hypergraph on $n$ vertices containing no 2-regular subhypergraph is $n^{1+o(1)}$. This resolves a conjecture of Dellamonica, Haxell, Łuczak, Mubayi, Nagle, Person, Rödl, Schacht, and Verstraëte.
Janzer, Oliver +2 more
openaire +5 more sources
A Universal Meta‐Heuristic Framework for Influence Maximisation in Hypergraphs
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Influence maximisation (IM) aims to select a small number of nodes that are able to maximise their influence in a network and covers a wide range of applications. Despite numerous attempts to provide effective solutions in simple networks, higher‐order interactions between entities in various real‐world systems are usually not taken into ...
Ming Xie +5 more
wiley +1 more source
Learning Hypergraph-regularized Attribute Predictors [PDF]
2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2015 This is an attribute learning paper accepted by CVPR ...
Huang, Sheng +3 more
openaire +2 more sources