189 citations · 647 across the 14 of their papers we have counts for
15 papers
Regress, Don't Guess -- A Regression-like Loss on Number Tokens for Language Models
Jonas Zausinger, Lars Pennig, Anamarija Kozina +13
While language models have exceptional capabilities at text generation, they lack a natural inductive bias for emitting numbers and thus struggle in tasks involving quantitative re…
Mastering Percolation-like Games with Deep Learning
Michael M. Danziger, Omkar R. Gojala, Sean P. Cornelius
Though robustness of networks to random attacks has been widely studied, intentional destruction by an intelligent agent is not tractable with previous methods. Here we devise a si…
Recovery Coupling in Multilayer Networks
Michael M. Danziger, Albert-László Barabási
The increased complexity of infrastructure systems has resulted in critical interdependencies between multiple networks---communication systems require electricity, while the norma…
High-resolution human mobility data reveal race and wealth disparities in disaster evacuation patterns
Hengfang Deng, Daniel P. Aldrich, Michael M. Danziger +4
Major disasters such as extreme weather events can magnify and exacerbate pre-existing social disparities, with disadvantaged populations bearing disproportionate costs. Despite th…
Faster calculation of the percolation correlation length on spatial networks
Michael M. Danziger, Bnaya Gross, Sergey V. Buldyrev
The divergence of the correlation length at criticality is an important phenomenon of percolation in two-dimensional systems. Substantial speed-ups to the calculation of the pe…
Critical field-exponents for secure message-passing in modular networks
Louis M. Shekhtman, Michael M. Danziger, Ivan Bonamassa +4
We study secure message-passing in the presence of multiple adversaries in modular networks. We assume a dominant fraction of nodes in each module have the same vulnerability, i.e.…
Dynamic interdependence and competition in multilayer networks
Michael M. Danziger, Ivan Bonamassa, Stefano Boccaletti +1
From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppre…
Spreading of localized attacks in spatial multiplex networks
Dana Vaknin, Michael M. Danziger, Shlomo Havlin
Many real-world multilayer systems such as critical infrastructure are interdependent and embedded in space with links of a characteristic length. They are also vulnerable to local…
Critical stretching of mean-field regimes in spatial networks
Ivan Bonamassa, Bnaya Gross, Michael M. Danziger +1
We study a spatial network model with exponentially distributed link-lengths on an underlying grid of points, undergoing a structural crossover from a random, Erdős--Rényi graph to…
Color-avoiding percolation
Sebastian M. Krause, Michael M. Danziger, Vinko Zlatić
Many real world networks have groups of similar nodes which are vulnerable to the same failure or adversary. Nodes can be colored in such a way that colors encode the shared vulner…
Assortativity and leadership emergence from anti-preferential attachment in heterogeneous networks
I. Sendiña-Nadal, M. M. Danziger, Z. Wang +2
Many real-world networks exhibit degree-assortativity, with nodes of similar degree more likely to link to one another. Particularly in social networks, the contribution to the tot…
Two distinct transitions in spatially embedded multiplex networks
Michael M. Danziger, Louis M. Shekhtman, Yehiel Berezin +1
Multilayer infrastructure is often interdependent, with nodes in one layer depending on nearby nodes in another layer to function. The links in each layer are often of limited leng…
Optimal redundancy against disjoint vulnerabilities in networks
Sebastian M. Krause, Michael M. Danziger, Vinko Zlatić
Redundancy is commonly used to guarantee continued functionality in networked systems. However, often many nodes are vulnerable to the same failure or adversary. A "backup" path is…
Robustness of a Network Formed of Spatially Embedded Networks
Louis M. Shekhtman, Yehiel Berezin, Michael M. Danziger +1
We present analytic and numeric results for percolation in a network formed of interdependent spatially embedded networks. We show results for a treelike and a random regular netwo…
Spatially localized attacks on interdependent networks: the existence of a finite critical attack size
Yehiel Berezin, Amir Bashan, Michael M. Danziger +2
Many real world complex systems such as infrastructure, communication and transportation networks are embedded in space, where entities of one system may depend on entities of othe…