5,901 research outputs found
Hashing with binary autoencoders
An attractive approach for fast search in image databases is binary hashing,
where each high-dimensional, real-valued image is mapped onto a
low-dimensional, binary vector and the search is done in this binary space.
Finding the optimal hash function is difficult because it involves binary
constraints, and most approaches approximate the optimization by relaxing the
constraints and then binarizing the result. Here, we focus on the binary
autoencoder model, which seeks to reconstruct an image from the binary code
produced by the hash function. We show that the optimization can be simplified
with the method of auxiliary coordinates. This reformulates the optimization as
alternating two easier steps: one that learns the encoder and decoder
separately, and one that optimizes the code for each image. Image retrieval
experiments, using precision/recall and a measure of code utilization, show the
resulting hash function outperforms or is competitive with state-of-the-art
methods for binary hashing.Comment: 22 pages, 11 figure
GIS w polskiej edukacji wyższej – dyskusja
Norvay Grants FSS/2014/HEI/W/0114/U/001
Equilibria Under the Probabilistic Serial Rule
The probabilistic serial (PS) rule is a prominent randomized rule for
assigning indivisible goods to agents. Although it is well known for its good
fairness and welfare properties, it is not strategyproof. In view of this, we
address several fundamental questions regarding equilibria under PS. Firstly,
we show that Nash deviations under the PS rule can cycle. Despite the
possibilities of cycles, we prove that a pure Nash equilibrium is guaranteed to
exist under the PS rule. We then show that verifying whether a given profile is
a pure Nash equilibrium is coNP-complete, and computing a pure Nash equilibrium
is NP-hard. For two agents, we present a linear-time algorithm to compute a
pure Nash equilibrium which yields the same assignment as the truthful profile.
Finally, we conduct experiments to evaluate the quality of the equilibria that
exist under the PS rule, finding that the vast majority of pure Nash equilibria
yield social welfare that is at least that of the truthful profile.Comment: arXiv admin note: text overlap with arXiv:1401.6523, this paper
supersedes the equilibria section in our previous report arXiv:1401.652
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