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Mammals navigate novel environments and exhibit resilience to sparse environmental sensory cues via place and grid cells, which encode position in space. While the efficiency of grid cell coding has been extensively studied, the computational role of
Externí odkaz:
http://arxiv.org/abs/2407.06195
A common technique for ameliorating the computational costs of running large neural models is sparsification, or the removal of neural connections during training. Sparse models are capable of maintaining the high accuracy of state of the art models,
Externí odkaz:
http://arxiv.org/abs/2406.06290
The evasion paths problem asks when a dynamically changing space can be navigated: imagine guards are patrolling a region, for instance, and we need to stay outside their view. We use the Bousfield-Kan spectral sequence for homotopy inverse limits as
Externí odkaz:
http://arxiv.org/abs/2211.05856
Autor:
Ballinger, William, Hsu, Chloe Ching-Yun, Mackey, Wyatt, Ni, Yi, Ochse, Tynan, Vafaee, Faramarz
Publikováno v:
Algebr. Geom. Topol. 20 (2020) 757-816
The spherical manifold realization problem asks which spherical three-manifolds arise from surgeries on knots in $S^3$. In recent years, the realization problem for C, T, O, and I-type spherical manifolds has been solved, leaving the D-type manifolds
Externí odkaz:
http://arxiv.org/abs/1612.04921
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