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Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

Related publications (40)

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Navigating Central Path with Electrical Flows: from Flows to Matchings, and Back

Aleksander Madry

We present an O(m^10/7) = O(m^1.43)-time algorithm for the maximum s-t flow and the minimum s-t cut problems in directed graphs with unit capacities. This is the first improvement over the sparse-graph case of the long-standing O(m min{m^1/2, n^2/3}) runni ...

IEEE2013

Hardness of Vertex Deletion and Project Scheduling

Ola Nils Anders Svensson

Assuming the Unique Games Conjecture, we show strong inapproximability results for two natural vertex deletion problems on directed graphs: for any integer k ≥ 2 and arbitrary small ε > 0, the Feedback Vertex Set problem and the DAG Vertex Deletion problem ...

Springer2012

Extraction of network topology from multi-electrode recordings: is there a small-world effect?

Wulfram Gerstner, Joao Emanuel Felipe Gerhard

The simultaneous recording of the activity of many neurons poses challenges for multivariate data analysis. Here, we propose a general scheme of reconstruction of the functional network from spike train recordings. Effective, causal interactions are estima ...

Frontiers Research Foundation2011

The impact of mobility on the time complexity for deterministic broadcasting in radio networks

André Schiper, David Cavin, Yoav Sasson

We study the time complexity for deterministic broadcasting algorithms in mobile radio networks. The broadcast operation consists of a source node successfully communicating its message to every other node. In multi-hop radio networks such as MANETs, the m ...

2011

Linear Compressive Networks

Michael Christoph Gastpar, Naveen Goela

A linear compressive network (LCN) is defined as a graph of sensors in which each encoding sensor compresses incoming jointly Gaussian random signals and transmits (potentially) low-dimensional linear projections to neighbors over a noisy uncoded channel. ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Asymmetric information embedding

Mohammad Amin Shokrollahi

In the Information Embedding Problem one is given a piece of data which can be altered only conditionally, for example only at certain places. One is then asked to embed an arbitrary message into the data by only applying admissible changes to the data. Th ...

Springer-Verlag2008

On Broadcast with a Common Message over Networks

Satish Babu Korada, Dinkar Vasudevan

We consider the following communication problem over a directed graph. A source node wants to transmit a common message to a set of receiver nodes along with a private message to each of the receivers. We show a class of networks for which the achievable r ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Networks of Mixed Canonic-Dissipative Systems and Dynamic Hebbian Learning

Max-Olivier Hongler, Julio Rodriguez

We consider a collection {O_k}_{k=1}^N of interacting parametric mixed canonical-dissipative systems, (MCD). Each individual Ok, exhibits, in absence of interaction, a limit cycle L_k on which the orbit circulation is parameterized by w_k(t). The underlyin ...

Shaker Verlag2008

Variations of coloring problems related to scheduling and discrete tomography

Bernard Ries

The graph coloring problem is one of the most famous problems in graph theory and has a large range of applications. It consists in coloring the vertices of an undirected graph with a given number of colors such that two adjacent vertices get different col ...

EPFL2007

Synchrony in node-balanced networks

Martin Hasler, Igor Belykh

We study global stability of synchronization in asymmetrically connected networks of limit-cycle or chaotic oscillators. We extend the connection graph stability method to directed graphs with node balance, the property that all nodes in the network have e ...

2006