Low dimensionality of phenotypic space as an emergent property of coordinated teams in biological regulatory networks by Kishore Hari, Pradyumna Harlapur, Aashna Saxena, Kushal Haldar, Aishwarya Girish, Tanisha Malpani, Herbert Levine, Mohit Kumar Jolly

“…We show that the emergent dynamics of these networks and corresponding transcriptomic data are consistently low-dimensional, as quantified by the variance explained by principal component 1 (PC1). …”
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Coalescence of multiple topological orders in quasi-one-dimensional bismuth halide chains by Jingyuan Zhong, Ming Yang, Wenxuan Zhao, Kaiyi Zhai, Xuan Zhen, Lifu Zhang, Dan Mu, Yundan Liu, Zhijian Shi, Ningyan Cheng, Wei Zhou, Jianfeng Wang, Weichang Hao, Zhenpeng Hu, Jincheng Zhuang, Jinhu Lü, Yi Du

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Topological phases driven by orbital entanglement in Transition Metal Oxide Perovskite interfaces by Gabay, Marc

“…It may lead to a quantum entanglement of the materials electronic wavefunctions which promotes topological states in low dimensional geometries. In this report we present a study of select topological properties at surfaces or heterostructure interfaces of a subset of these perovskites when the orientation of the structure is along the (001) or (111) direction. …”
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Direct observation of chiral edge current at zero magnetic field in a magnetic topological insulator by Jinjiang Zhu, Yang Feng, Xiaodong Zhou, Yongchao Wang, Hongxu Yao, Zichen Lian, Weiyan Lin, Qiushi He, Yishi Lin, Youfang Wang, Yongqian Wang, Shuai Yang, Hao Li, Yang Wu, Chang Liu, Jing Wang, Jian Shen, Jinsong Zhang, Yayu Wang, Yihua Wang

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Short and long-range magnetic ordering and emergent topological transition in (Mn1−xNix)2P2S6 by Nasaru Khan, Deepu Kumar, Shantanu Semwal, Yuliia Shemerliuk, Bernd Büchner, Koushik Pal, Saicharan Aswartham, Pradeep Kumar

“…Though, there are some exceptions to Mermin-Wagner theorem in particular low dimensional magnetic systems with topologically ordered phase transitions. …”
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Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout by Wen-Min Zhou, Jiang-Wen Xiao

“…Based on the control theory, the perturbation argument, and the matrix theory, the necessary and sufficient condition for MASs to reach mean-square consensus is derived in terms of stability of an array of low-dimensional matrices. Moreover, mean-square consensusable conditions with regard to network topology and agent dynamic structure are also provided. …”
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An Interlayer Link Prediction Method Based on Edge-Weighted Embedding by Hefei Hu, Sirui Zhang, Yanan Wang

“…However, these studies often directly model links within the pre-embedding layer as equal weights, fail to effectively distinguish the strength of edge relationships, and do not fully utilize network topology information. In this paper, we propose an interlayer link prediction model based on weighted embedding of connected edges within the network layer, which models the links within the network layer as weighted graphs to better represent the network and then uses appropriate embedding methods to represent the network in a low-dimensional space. …”
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ISLRWR: A network diffusion algorithm for drug-target interactions prediction. by Lu Sun, Zhixiang Yin, Lin Lu

“…In this study, we used multi-source heterogeneous network information to build a network model, learn the network topology through multiple network diffusion algorithms, and obtain compressed low-dimensional feature vectors for predicting drug-target interactions (DTIs). …”
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An Airway Network Flow Assignment Approach Based on an Efficient Multiobjective Optimization Framework by Xiangmin Guan, Xuejun Zhang, Yanbo Zhu, Dengfeng Sun, Jiaxing Lei

“…In addition, a cooperative coevolution algorithm is adapted to divide the ANFA problem into several low-dimensional biobjective optimization problems which are easier to deal with. …”
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Vulnerability Analysis of China-Europe Railway Express Network Based on Improved Nonlinear Load-Capacity Model by Chao Zhu, Xiaoning Zhu

“…Firstly, a feature matrix is constructed for C-ER Express based on the topological measures, freight information, and external environment scores. …”
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Block-Constraint Laplacian-Regularized Low-Rank Representation and Its Application for Cancer Sample Clustering Based on Integrated TCGA Data by Juan Wang, Jin-Xing Liu, Chun-Hou Zheng, Cong-Hai Lu, Ling-Yun Dai, Xiang-Zhen Kong

“…In addition, graph Laplacian is also introduced into our method to better learn the topological structure of data by preserving the local geometric information. …”
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