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Onp-closed spaces

Julian Dontchev, Maximilian Ganster, Takashi Noiri
2000 International Journal of Mathematics and Mathematical Sciences  
We will provide new characterizations ofp-closed spaces and investigate their relationships with some other classes of topological spaces.  ...  A topological space (X, τ) is said to be strongly p-regular (respectively, p-regular [8] , almost p-regular [14] ) if for each point x ∈ X and each preclosed set (respectively, closed set, regular closed  ...  Several topological spaces share this property for κ = ℵ 0 .  ... 
doi:10.1155/s016117120000226x fatcat:3rt5qcwfnvfbtmucuaozjxpnjq

Topology-Aware Single-Image 3D Shape Reconstruction

Qimin Chen, Vincent Nguyen, Feng Han, Raimondas Kiveris, Zhuowen Tu
2020 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)  
We make an attempt to address topology-awareness for 3D shape reconstruction.  ...  TPWCoder can be directly combined with the existing 3D shape reconstruction pipelines for endto-end training and prediction.  ...  We thank Jiajun Wu, Kwonjoon Lee, Weijian Xu, Justin Lazarow, Sainan Liu, and Hao Su for valuable discussions.  ... 
doi:10.1109/cvprw50498.2020.00143 dblp:conf/cvpr/ChenNHKT20 fatcat:m6f7n7qgknfolpwtkk6czz4n4a

Order isomorphisms between bases of topologies [article]

Javier Cabello Sánchez
2021 arXiv   pre-print
about regular open subsets of Hausdorff regular topological spaces.  ...  It turns out that the perfect setting for this study is that of regular open subsets of complete metric spaces, but we have achieved some results about arbitrary bases in complete metric spaces and also  ...  Leung for his interest in the present paper and for pointing out a mistake.  ... 
arXiv:2007.04384v3 fatcat:ikk2usa4t5cnra44i6jgdc34mm

Unsupervised Depth Completion with Calibrated Backprojection Layers [article]

Alex Wong, Stefano Soatto
2021 arXiv   pre-print
KBNet imputes missing depth value based on the training set, rather than on generic regularization.  ...  A decoder, exploiting skip-connections, produces a dense depth map.  ...  Bilateral cyclic con- straint and adaptive regularization for unsupervised monoc- ular depth prediction.  ... 
arXiv:2108.10531v2 fatcat:oksdumjhwnfsbb2gvamh3oz4cq

Order isomorphisms between bases of topologies

Javier Cabello Sánchez
2022 Extracta Mathematicae  
and also about regular open subsets in Hausdorff regular topological spaces.  ...  It turns out that the perfect setting for this study is that of regular open subsets of complete metric spaces, but we have been able to show some results about arbitrary bases in complete metric spaces  ...  Leung for his interest in the present paper and for pointing out a relevant mistake. I also need to thank the anonymous referee for their careful reading and for some specially accurate comments.  ... 
doi:10.17398/2605-5686.37.1.139 fatcat:nzbkyb42ybg77dtwtcrgveup5i

Collision Detection Optimization in a Multi-particle System [chapter]

Marina L. Gavrilova, Jon Rokne
2002 Lecture Notes in Computer Science  
The data structures under consideration are the dynamic generalized Voronoi diagram, the regular spatial subdivision, the regular spatial tree and the set of segment trees.  ...  We employ dynamic computational geometry data structures as a tool for collision detection optimization.  ...  The regular spatial subdivision and the regular spatial tree methods perform worst for densely packed granular systems. 4.  ... 
doi:10.1007/3-540-47789-6_11 fatcat:kmx5qtj7m5arvmfy4kqrxut6vm

COLLISION DETECTION OPTIMIZATION IN A MULTI-PARTICLE SYSTEM

MARINA L. GAVRILOVA, JON ROKNE
2003 International journal of computational geometry and applications  
The data structures under consideration are the dynamic generalized Voronoi diagram, the regular spatial subdivision, the regular spatial tree and the set of segment trees.  ...  We employ dynamic computational geometry data structures as a tool for collision detection optimization.  ...  The regular spatial subdivision and the regular spatial tree methods perform worst for densely packed granular systems. 4.  ... 
doi:10.1142/s0218195903001189 fatcat:k5jrq5h2bffs7ksi3zcy7bezua

ERNIE-SPARSE: Learning Hierarchical Efficient Transformer Through Regularized Self-Attention [article]

Yang Liu, Jiaxiang Liu, Li Chen, Yuxiang Lu, Shikun Feng, Zhida Feng, Yu Sun, Hao Tian, Hua Wu, Haifeng Wang
2022 arXiv   pre-print
(ii) Self-Attention Regularization (SAR) method, a novel regularization designed to minimize the distance for transformers with different attention topologies.  ...  Sparse Transformer has recently attracted a lot of attention since the ability for reducing the quadratic dependency on the sequence length.  ...  However, current regularization methods are mostly designed for dense models and don't take into account the characteristic of sparse model.  ... 
arXiv:2203.12276v1 fatcat:ogiht7r52zhjffzc6j6g5ogy74

SMILES Enumeration as Data Augmentation for Neural Network Modeling of Molecules [article]

Esben Jannik Bjerrum
2017 arXiv   pre-print
By taking the average per molecule of the predictions for the enumerated SMILES a further improvement to a correlation coefficient of 0.68 and a RMS of 0.52 was found.  ...  The technique also works in the prediction phase.  ...  (dropout_U) 0.0 0.0 Number of dense hidden layers 0 0 Hidden layer size N/A N/A Weight regularization on dense layer, L1 0.2 0.005 Weight regularization on dense layer, L2 0.2 0.01 Learning  ... 
arXiv:1703.07076v2 fatcat:47zx5ghpzzcznm3xudrynd4fcm

Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks

J. J. K. Kirkensgaard, M. E. Evans, L. de Campo, S. T. Hyde
2014 Proceedings of the National Academy of Sciences of the United States of America  
for 3D nets (2) ].  ...  and topological aspects.  ...  For x < 1:75, four-colored columnar phases appear, and for x > 7, a hierarchical lamellar pattern is predicted (4) .  ... 
doi:10.1073/pnas.1316348111 pmid:24474747 pmcid:PMC3910609 fatcat:ylxcpjv7lje6bnmew4eexuvff4

Improving demand forecasting with LSTM by taking into account the seasonality of data

Hossein Abbasimehr, Mohammad Khodizadeh Nahari
2020 Journal of Applied Research on Industrial Engineering  
The principle idea of this study is to propose a method that predicts the demand for every different season using a specialized forecaster.  ...  The proposed method is evaluated using different topologies of the LSTM model.  ...  Output (dense layer with 1 neuron). Table 5 , 5 the mean RMSE for all models with our proposal is lower than the regular models.  ... 
doi:10.22105/jarie.2020.232594.1168 doaj:8e5cbe18b44d46209c7d1af90a9ed7e5 fatcat:h5v77btthrfkvoh2id7uh7vfwy

Hereditarily R-factorizable groups

Mikhail Tkachenko
2010 Topology and its Applications  
For topological groups, we prove a more general result as follows.  ...  MSC: We show that every subgroup of the σ -product of a family {G i : i ∈ I} of regular paratopological groups satisfying Nag(G i ) ω has countable cellularity, is perfectly κnormal and R 3 -factorizable  ...  In paratopological groups, the behaviour of R-factorizability is less predictable.  ... 
doi:10.1016/j.topol.2008.12.045 fatcat:mckqr6kogrf6naouqvhm26y7sm

NeuroFabric: Identifying Ideal Topologies for Training A Priori Sparse Networks [article]

Mihailo Isakov, Michel A. Kinsy
2020 arXiv   pre-print
However, the choice of which sparse topology should be used in these networks is unclear. In this work, we provide a theoretical foundation for the choice of intra-layer topology.  ...  The major impediment to fast training is the quadratic growth of both memory and compute requirements of dense and convolutional layers with respect to their information bandwidth.  ...  of a dataset, we develop a data-free heuristic for predicting the expressiveness of a given sparse network. • From the heuristic, we derive requirements that make a good topology, and settle on a single  ... 
arXiv:2002.08339v1 fatcat:v7kjagfmtfgvlea4da57v57nn4

Learning to Infer Implicit Surfaces without 3D Supervision [article]

Shichen Liu, Shunsuke Saito, Weikai Chen, Hao Li
2019 arXiv   pre-print
To this end, we propose a novel ray-based field probing technique for efficient image-to-field supervision, as well as a general geometric regularizer for implicit surfaces, which provides natural shape  ...  In particular, sampling implicit surfaces densely is also known to be a computationally demanding and very slow operation.  ...  While being able to describe arbitrary topologies, point-based representations are also restricted by their resolution capabilities since dense samples are needed.  ... 
arXiv:1911.00767v1 fatcat:vq33mtgfvvc7llzkigbvpljo4i

On the dynamics of the Tent function - Phase diagrams

Prince Amponsah Kwabi, William Obeng Denteh, Richard Kena Boadi
2016 Journal of Advanced Studies in Topology  
from a topological viewpoint.  ...  This paper focuses on the study of a one-dimensional topological dynamical system, the tent function.  ...  There is an indication of (regular) periodic behavior densely distributed in the phase space.  ... 
doi:10.20454/jast.2016.1011 fatcat:g74qoedswbbznfiryl26sykzbq
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