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pro vyhledávání: '"NICHOLSON, JOHN"'
Autor:
Hambleton, Ian, Nicholson, John
Kreck and Schafer produced the first examples of stably diffeomorphic closed smooth 4-manifolds which are not homotopy equivalent. They were constructed by applying the doubling construction to 2-complexes over certain finite abelian groups of odd or
Externí odkaz:
http://arxiv.org/abs/2412.15089
We characterise the set of fundamental groups for which there exist $n$-manifolds that are $h$-cobordant (hence homotopy equivalent) but not simple homotopy equivalent, when $n$ is sufficiently large. In particular, for $n \ge 12$ even, we show that
Externí odkaz:
http://arxiv.org/abs/2409.03082
Publikováno v:
Efficient Systems for Foundation Models II, International Conference on Machine Learning (ICML) 2024
Low-light image enhancement remains a challenging task in computer vision, with existing state-of-the-art models often limited by hardware constraints and computational inefficiencies, particularly in handling high-resolution images. Recent foundatio
Externí odkaz:
http://arxiv.org/abs/2408.09650
Autor:
Adhikarla, Eashan, Zhang, Kai, VidalMata, Rosaura G., Aithal, Manjushree, Madhusudhana, Nikhil Ambha, Nicholson, John, Sun, Lichao, Davison, Brian D.
Despite recent strides made by AI in image processing, the issue of mixed exposure, pivotal in many real-world scenarios like surveillance and photography, remains inadequately addressed. Traditional image enhancement techniques and current transform
Externí odkaz:
http://arxiv.org/abs/2407.13170
Autor:
Nicholson, John
We obtain a partial classification of the finite groups $G$ for which the integral group ring $\mathbb{Z} G$ has projective cancellation, i.e. for which $P \oplus \mathbb{Z} G \cong Q \oplus \mathbb{Z} G$ implies $P \cong Q$ for projective $\mathbb{Z
Externí odkaz:
http://arxiv.org/abs/2406.08692
Kreck's modified surgery gives an approach to classifying smooth $2n$-manifolds up to stable diffeomorphism, i.e. up to connected sum with copies of $S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study var
Externí odkaz:
http://arxiv.org/abs/2405.06637
The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 by Freedman et al. We prove an analogous result for 2-complexes, and also show that the universal pairing does not detect the difference between simple homoto
Externí odkaz:
http://arxiv.org/abs/2312.07429
AI applications are becoming increasingly visible to the general public. There is a notable gap between the theoretical assumptions researchers make about computer vision models and the reality those models face when deployed in the real world. One o
Externí odkaz:
http://arxiv.org/abs/2312.01540
Given a closed $n$-manifold, we consider the set of simple homotopy types of $n$-manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in terms of algebraic $K$-theory, the surgery obstruction map, and the ho
Externí odkaz:
http://arxiv.org/abs/2312.00322