3 papers
math.CO2025
An analogue of the Erd{\H o}s Matching Conjecture for permutations with fixed number of cycles
Cheng Yeaw Ku, Kok Bin Wong
Let denote the set of permutations of . For each integer , let be the set of all permutations of with exactly disjoint cy…
math.CO2025
Proof of a conjecture on eigenvalues of transposition graph
Cheng Yeaw Ku, Leyou Xu
The transposition graph is the Cayley graph on the symmetric group generated by the set of all transpositions. In this paper, we show that each integer i…
stat.ML2024
Generalization Analysis for Deep Contrastive Representation Learning
Nong Minh Hieu, Antoine Ledent, Yunwen Lei +1
In this paper, we present generalization bounds for the unsupervised risk in the Deep Contrastive Representation Learning framework, which employs deep neural networks as represent…