Complex Systems Studies
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#complexity #complex_systems #networks #network_science

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Clauset_2017_SwRI_WhenIsALeadSafe.pdf
6.1 MB
When is a lead safe (or not)?
Insights from complex systems
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Rayleigh Taylor instability in @sidefx #Houdini...
🗞 Maximum Entropy Flow Networks
Gabriel Loaiza-Ganem, Yuanjun Gao, John P. Cunningham

🔗 https://arxiv.org/pdf/1701.03504

📌 ABSTRACT
Maximum entropy modeling is a flexible and popular framework for formulating statistical models given partial knowledge. In this paper, rather than the traditional method of optimizing over the continuous density directly, we learn a smooth and invertible transformation that maps a simple distribution to the desired maximum entropy distribution. Doing so is nontrivial in that the objective being maximized (entropy) is a function of the density itself. By exploiting recent developments in normalizing flow networks, we cast the maximum entropy problem into a finite-dimensional constrained optimization, and solve the problem by combining stochastic optimization with the augmented Lagrangian method. Simulation results demonstrate the effectiveness of our method, and applications to finance and computer vision show the flexibility and accuracy of using maximum entropy flow networks.
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Motion on the Rössler Attractor
🌀 Stochastic Dynamics out of Equilibrium
CEB Trimester, Institut Henri Poincaré, 2017

🎞 24 videos:
https://www.youtube.com/playlist?list=PL9kd4mpdvWcDWCAqqvRe1pOxYtNUqEjZW

🎯 It is common practice in statistical mechanics to use models of large interacting assemblies governed by #stochastic dynamics. In this context “equilibrium” is understood as stochastically (time) reversible dynamics with respect to a prescribed #Gibbs_measure. The IHP trimester “#Stochastic_Dynamics #Out_of_Equilibrium” will focus on various aspects of #nonequilibrium dynamics. #Non-reversible dynamics have features which cannot occur at #equilibrium and for which novel methods have to be developed. In the recent years there have been important advances in the three domains relevant to this trimester

- Transport in non-equilibrium statistical mechanics;
- Towards more efficient simulation methods;
- Life sciences.

and this has led to challenging open questions. This trimester aims at bringing together an audience coming from all the involved domains, to explore these new directions: physicists, mathematicians from various domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics.

http://www.ihp.fr/ceb/t2-2017
https://indico.math.cnrs.fr/e/stoneq17
🌀 ماتریسهای تصادفی
🎞📄 http://videos.math.sharif.ir/courses.php?course=random_matrix-spring92

مشخصات درس
- ترم ارائه : بهار 1392
- مقطع : کارشناسی ارشد
- استاد درس: کسری علیشاهی
🔸 Multilayer Networks!
Schematic illustration of multilayer architecture composed of two networks. Though the social network (namely, Network A) and infection contact network (namely, Network B) possess the same nodes marked by numbers, they support different dynamic processes, which are separately studied in most previous literature. Now, if both networks are encapsulated into a multilayer framework (namely, Network C), the interaction between them may create completely different outcomes that go beyond what isolated networks can capture.

read more:
http://www.sciencedirect.com/science/article/pii/S1571064515001372