3,839 research outputs found
Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
We numerically produce fully amorphous assemblies of frictionless spheres in
three dimensions and study the jamming transition these packings undergo at
large volume fractions. We specify four protocols yielding a critical value for
the jamming volume fraction which is sharply defined in the limit of large
system size, but is different for each protocol. Thus, we directly establish
the existence of a continuous range of volume fraction where nonequilibrium
jamming transitions occur. However, these jamming transitions share the same
critical behaviour. Our results suggest that, even in the absence of partial
crystalline ordering, a unique location of a random close packing does not
exist, and that volume fraction alone is not sufficient to describe the
properties of jammed states.Comment: 5 pages, 3 fig
Energy Disaggregation via Adaptive Filtering
The energy disaggregation problem is recovering device level power
consumption signals from the aggregate power consumption signal for a building.
We show in this paper how the disaggregation problem can be reformulated as an
adaptive filtering problem. This gives both a novel disaggregation algorithm
and a better theoretical understanding for disaggregation. In particular, we
show how the disaggregation problem can be solved online using a filter bank
and discuss its optimality.Comment: Submitted to 51st Annual Allerton Conference on Communication,
Control, and Computin
Blind Identification via Lifting
Blind system identification is known to be an ill-posed problem and without
further assumptions, no unique solution is at hand. In this contribution, we
are concerned with the task of identifying an ARX model from only output
measurements. We phrase this as a constrained rank minimization problem and
present a relaxed convex formulation to approximate its solution. To make the
problem well posed we assume that the sought input lies in some known linear
subspace.Comment: Submitted to the IFAC World Congress 2014. arXiv admin note: text
overlap with arXiv:1303.671
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