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

Related publications (38)

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On the benefits of diffusion cooperation for distributed optimization and learning

Ali H. Sayed

This work characterizes the nature of the limit point of distributed strategies for adaptation and learning over networks in the general case when the combination policy is not necessarily doubly stochastic and when the individual risks do not necessarily ...

2013

Is the Network Turing-Complete?

Dejan Kostic, Peter Peresini

Ensuring correct network behavior is hard. This is the case even for simple networks, and adding middleboxes only complicates this task. In this paper, we demonstrate a fundamental property of networks. Namely, we show a way of using a network to emulate t ...

2013

Diffusion Adaptation Over Networks Under Imperfect Information Exchange and Non-Stationary Data

Ali H. Sayed

Adaptive networks rely on in-network and collaborative processing among distributed agents to deliver enhanced performance in estimation and inference tasks. Information is exchanged among the nodes, usually over noisy links. The combination weights that a ...

IEEE2012

Computational Aspects of Distributed Optimization in Model Predictive Control

Colin Neil Jones, Tyler Summers, Melanie Nicole Zeilinger

This paper presents a systematic computational study on the performance of distributed optimization in model predictive control (MPC). We consider networks of dynamically coupled systems, which are subject to input and state con- straints. The resulting MP ...

2012

The effect of variability of urban systems characteristics in the network capacity

Nikolaos Geroliminis, Burak Boyaci

Recent experimental analysis has shown that some types of urban networks exhibit a low scatter reproducible relationship between average network flow and density, known as the macroscopic fundamental diagram (MFD). It has also been shown that heterogeneity ...

Elsevier2012

Locating the Source of Diffusion in Large-Scale Networks

Martin Vetterli, Patrick Thiran, Pedro Pereira Correia Pinto

How can we localize the source of diffusion in a complex network? Due to the tremendous size of many real networks---such as the Internet or the human social graph---it is usually infeasible to observe the state of all nodes in a network. We show that it i ...

American Physical Society2012

Signaling and Reciprocity

Wojciech Galuba

Complex networks exist for a number of purposes. The neural, metabolic and food networks ensure our survival, while the social, economic, transportation and communication networks allow us to prosper. Independently of the purposes and particularities of th ...

EPFL2011

Hysteresis phenomena of a Macroscopic Fundamental Diagram in freeway networks

Nikolaos Geroliminis

Observations of traffic pairs of flow vs. density or occupancy for individual locations in freeways or arterials are usually scattered about an underlying curve. Recent observations from empirical data in arterial networks showed that in some cases by aggr ...

2011

Hysteresis Phenomena of a Macroscopic Fundamental Diagram in Freeway Networks

Nikolaos Geroliminis

Elsevier Science, Reg Sales Off, Customer Support Dept, 655 Ave Of The Americas, New York, Ny 10010 Usa2011

Determination of depolarization temperature of (Bi1/2Na1/2)TiO3-based lead-free piezoceramics

Dragan Damjanovic

The depolarization temperature T-d of piezoelectric materials is an important figure of merit for their application at elevated temperatures. Until now, there are several methods proposed in the literature to determine the depolarization temperature of pie ...

American Institute of Physics2011