32,369 research outputs found
Salience and Market-aware Skill Extraction for Job Targeting
At LinkedIn, we want to create economic opportunity for everyone in the
global workforce. To make this happen, LinkedIn offers a reactive Job Search
system, and a proactive Jobs You May Be Interested In (JYMBII) system to match
the best candidates with their dream jobs. One of the most challenging tasks
for developing these systems is to properly extract important skill entities
from job postings and then target members with matched attributes. In this
work, we show that the commonly used text-based \emph{salience and
market-agnostic} skill extraction approach is sub-optimal because it only
considers skill mention and ignores the salient level of a skill and its market
dynamics, i.e., the market supply and demand influence on the importance of
skills. To address the above drawbacks, we present \model, our deployed
\emph{salience and market-aware} skill extraction system. The proposed \model
~shows promising results in improving the online performance of job
recommendation (JYMBII) ( job apply) and skill suggestions for job
posters ( suggestion rejection rate). Lastly, we present case studies to
show interesting insights that contrast traditional skill recognition method
and the proposed \model~from occupation, industry, country, and individual
skill levels. Based on the above promising results, we deployed the \model
~online to extract job targeting skills for all M job postings served at
LinkedIn.Comment: 9 pages, to appear in KDD202
Density and Spin Linear Response of Atomic Fermi Superfluids with Population Imbalance in BCS-BEC Crossover
We present a theoretical study of the density and spin (representing the two
components) linear response of Fermi superfluids with tunable attractive
interactions and population imbalance. In both linear response theories, we
find that the fluctuations of the order parameter must be treated on equal
footing with the gauge transformations associated with the symmetries of the
Hamiltonian so that important constraints including various sum rules can be
satisfied. Both theories can be applied to the whole BCS-Bose-Einstein
condensation crossover. The spin linear responses are qualitatively different
with and without population imbalance because collective-mode effects from the
fluctuations of the order parameter survive in the presence of population
imbalance, even though the associated symmetry is not broken by the order
parameter. Since a polarized superfluid becomes unstable at low temperatures in
the weak and intermediate coupling regimes, we found that the density and spin
susceptibilities diverge as the system approaches the unstable regime, but the
emergence of phase separation preempts the divergence.Comment: 15 pages, 5 figure
On split metacyclic groups
We consider sufficient conditions for metacyclic groups to split. Specifically, we show that a finite metacyclic group G of odd order is split on its cyclic normal subgroup K if K is such that G/K is cyclic and |K| = exp G.Розглянуто достатнi умови для розщеплення метациклiчних груп, а саме, показано, що скiнченна метациклiчна група G непарного порядку розщеплюється на своїй циклiчнiй нормальнiй пiдгрупi K, якщо K є такою, що G/K є циклiчною та |K| = exp G
BCS thermal vacuum of fermionic superfluids and its perturbation theory
The thermal field theory is applied to fermionic superfluids by doubling the
degrees of freedom of the BCS theory. We construct the two-mode states and the
corresponding Bogoliubov transformation to obtain the BCS thermal vacuum. The
expectation values with respect to the BCS thermal vacuum produce the
statistical average of the thermodynamic quantities. The BCS thermal vacuum
allows a quantum-mechanical perturbation theory with the BCS theory serving as
the unperturbed state. We evaluate the leading-order corrections to the order
parameter and other physical quantities from the perturbation theory. A direct
evaluation of the pairing correlation as a function of temperature shows the
pseudogap phenomenon results from the perturbation theory. The BCS thermal
vacuum is shown to be a generalized coherent and squeezed state. The
correspondence between the thermal vacuum and purification of the density
matrix allows a unitary transformation, and we found the geometric phase in the
parameter space associated with the transformation.Comment: 14 pages, 2 figure
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