188,847 research outputs found
Learning generative texture models with extended Fields-of-Experts
We evaluate the ability of the popular Field-of-Experts (FoE) to model structure in images. As a test case we focus on modeling synthetic and natural textures. We find that even for modeling single textures, the FoE provides insufficient flexibility to learn good generative models – it does not perform any better than the much simpler Gaussian FoE. We propose an extended version of the FoE (allowing for bimodal potentials) and demonstrate that this novel formulation, when trained with a better approximation of the likelihood gradient, gives rise to a more powerful generative model of specific visual structure that produces significantly better results for the texture task
The Conservatives in coalition: "how the Tories are opposing Miliband’s Labour Party"
Andrew Crines looks at the Conservative rhetoric aimed at undermining Labour and argues that the appraisal of Ed Miliband as an unworthy foe may have laid the foundations for a degree of destructive complacency amongst the Tories
Weak MSO: Automata and Expressiveness Modulo Bisimilarity
We prove that the bisimulation-invariant fragment of weak monadic
second-order logic (WMSO) is equivalent to the fragment of the modal
-calculus where the application of the least fixpoint operator is restricted to formulas that are continuous in . Our
proof is automata-theoretic in nature; in particular, we introduce a class of
automata characterizing the expressive power of WMSO over tree models of
arbitrary branching degree. The transition map of these automata is defined in
terms of a logic that is the extension of first-order
logic with a generalized quantifier , where means that there are infinitely many objects satisfying . An
important part of our work consists of a model-theoretic analysis of
.Comment: Technical Report, 57 page
Social Learning and Coordination in High-Stakes Games: Evidence from Friend or Foe
We analyze the behavior of game-show contestants who play a one-shot game called Friend or Foe. While it is a weakly dominant strategy not to cooperate, almost half the contestants on the show choose to play friend.' Remarkably, the behavior of contestants remains unchanged even when stakes are very high, ranging from 10,000. We conclude that the frequent cooperation observed in one-shot social dilemma games is not an artefact of the low stakes typically used in laboratory experiments. Strategic decisions on Friend or Foe change markedly if players can observe previous episodes. We show that these contestants play friend' if they have reason to expect their opponent to play friend,' and they play foe' otherwise. The observed decisions are consistent with recent fairness theories that characterize individuals as conditional cooperators. Using information about past play, some groups (e.g., pairs of women) manage to stabilize cooperation in this high-stakes environment. For most others, improved coordination implies a drastic decline in monetary winnings. Prior to playing the social dilemma game, contestants produce' their endowment by answering trivia questions. We find some evidence for reciprocal behavior: Players who produce fewer correct answers for their team are more likely to cooperate in the social dilemma game.
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Cosmological spectrum of two-point correlation function from vacuum fluctuation of Stringy Axion field in De Sitter space: A study of the role of Quantum Entanglement
In this work, we study the impact of quantum entanglement on the two-point
correlation function and the associated primordial power spectrum of mean
square vacuum fluctuation in a bipartite quantum field theoretic system. The
field theory that we consider is the effective theory of axion field arising
from Type IIB string theory compactified to four dimensions. We compute the
expression for the power spectrum of vacuum fluctuation in three different
approaches, namely (1) field operator expansion (FOE) technique with the
quantum entangled state, (2) reduced density matrix (RDM) formalism with mixed
quantum state and (3) the method of non-entangled state (NES). For massless
axion field, in all these three formalism, we reproduce, at the leading order,
the exact scale-invariant power spectrum which is well known in the literature.
We observe that due to quantum entanglement, the sub-leading terms for these
thee formalisms are different. Thus, such correction terms break the degeneracy
among the analysis of the FOE, RDM and NES formalisms in the super-horizon
limit. On the other hand, for massive axion field, we get a slight deviation
from scale invariance and exactly quantify the spectral tilt of the power
spectrum in small scales. Apart from that, for massless and massive axion
field, we find distinguishable features of the power spectrum for the FOE, RDM,
and NES on the large scales, which is the result of quantum entanglement. We
also find that such large-scale effects are comparable to or greater than the
curvature radius of the de Sitter space. Most importantly, in the near future,
if experiments probe for early universe phenomena, one can detect such small
quantum effects. In such a scenario, it is possible to test the implications of
quantum entanglement in primordial cosmology.Comment: 75 pages, 13 figures, 1 table, Revised version, This work published
is published in Universe as part of the Special Issue "Cosmic String Theory
and Observations
Systematic thermal reduction of neutronization in core-collapse supernovae
We investigate to what extent the temperature dependence of the nuclear
symmetry energy can affect the neutronization of the stellar core prior to
neutrino trapping during gravitational collapse. To this end, we implement a
one-zone simulation to follow the collapse until beta equilibrium is reached
and the lepton fraction remains constant. Since the strength of electron
capture on the neutron-rich nuclei associated to the supernova scenario is
still an open issue, we keep it as a free parameter. We find that the
temperature dependence of the symmetry energy consistently yields a small
reduction of deleptonization, which corresponds to a systematic effect on the
shock wave energetics: the gain in dissociation energy of the shock has a small
yet non-negligible value of about 0.4 foe (1 foe = 10^51 erg) and this result
is almost independent from the strength of nuclear electron capture. The
presence of such a systematic effect and its robustness under changes of the
parameters of the one-zone model are significative enough to justify further
investigations with detailed numerical simulations of supernova explosions.Comment: 15 pages, 2 tables, 3 figure
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