Publication

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Related publications (38)

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On the Broadcast Capacity of Wireless Networks With Cooperative Relays

Michael Christoph Gastpar

A fundamental problem in wireless networks is determining the broadcast capacity, i.e., the maximum data transfer rate from a given node to every other node in a relay network. This paper studies the scaling of the broadcast capacity for a network with a s ...

2010

Routing and search on large scale networks

Dominique Florian Tschopp

In this thesis, we address two seemingly unrelated problems, namely routing in large wireless ad hoc networks and comparison based search in image databases. However, the underlying problem is in essence similar and we can use the same strategy to attack t ...

EPFL2010

A Note On The Dai-Singleton Canonical Representation Of Affine Term Structure Models

Damir Filipovic

Dai and Singleton (2000) study a class of term structure models for interest rates that specify the short rate as an affine combination of the components of an N-dimensional affine diffusion process. Observable quantities in such models are invariant under ...

Wiley-Blackwell2010

On the capacity of multisource non-coherent network coding

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

We consider multisource non-coherent network coding, where multiple sources send information to one or multiple receivers. We prove that this is equivalent to a ldquosubspacerdquo channel, that takes subspaces as inputs and outputs. We then show that the r ...

2009

Network Resource Allocation for Competing Multiple Description Transmissions

Suhas Diggavi

Providing real-time multimedia services over a best-effort network is challenging due to the stringent delay requirements in the presence of complex network dynamics. Multiple description (MD) coding is one approach to transmit the media over diverse (mult ...

2008

Simplifying complex networks

David Gfeller

The framework of complex networks has been shown to describe adequately a wide class of complex systems made up of a large number of interacting units. In this framework, a node is associated to each unit and two nodes are connected by an edge if the two u ...

EPFL2007

Spectral coarse graining of complex networks

Paolo De Los Rios, David Gfeller

Reducing the complexity of large systems described as complex networks is key to understanding them and a crucial issue is to know which properties of the initial system are preserved in the reduced one. Here we use random walks to design a coarse graining ...

American Physical Society2007

Network Monitoring: it depends on your points of view

Christina Fragouli, Suhas Diggavi

End-to-end active network monitoring infers network characteristics by sending and collecting probe packets from the network edge, while probes traverse the network through multicast trees or a mesh of unicast paths. Most reported methods consider given so ...

2007

Design tools for large networks

Bryn Andrew Martin

The Atlas TDAQ network consists of four separate networks which together total over 8000 ports at 1 Gbit/s, 60 ports at 10 Gbit/s, 200 Ethernet switches at the edge of the network, 6 multi-blade chassis switches at the core and over 20 km of copper and fib ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2007

Multilayer description of large scale communication networks

Sébastien Rumley, Christian Gaumier

Data exchanges between various modules and tools raise interfacing difficulties in a multilayer environment. This aspect may become particularly critical in a distributed context. ...

Springer, 233 Spring Street, New York, Ny 10013, United States2007