280 research outputs found
Evaluating two methods for Treebank grammar compaction
Treebanks, such as the Penn Treebank, provide a basis for the automatic creation of broad coverage grammars. In the simplest case, rules can simply be ‘read off’ the parse-annotations of the corpus, producing either a simple or probabilistic context-free grammar. Such grammars, however, can be very large, presenting problems for the subsequent computational costs of parsing under the grammar.
In this paper, we explore ways by which a treebank grammar can be reduced in size or ‘compacted’, which involve the use of two kinds of technique: (i) thresholding of rules by their number of occurrences; and (ii) a method of rule-parsing, which has both probabilistic and non-probabilistic variants. Our results show that by a combined use of these two techniques, a probabilistic context-free grammar can be reduced in size by 62% without any loss in parsing performance, and by 71% to give a gain in recall, but some loss in precision
On the structure of non-full-rank perfect codes
The Krotov combining construction of perfect 1-error-correcting binary codes
from 2000 and a theorem of Heden saying that every non-full-rank perfect
1-error-correcting binary code can be constructed by this combining
construction is generalized to the -ary case. Simply, every non-full-rank
perfect code is the union of a well-defined family of -components
, where belongs to an "outer" perfect code , and these
components are at distance three from each other. Components from distinct
codes can thus freely be combined to obtain new perfect codes. The Phelps
general product construction of perfect binary code from 1984 is generalized to
obtain -components, and new lower bounds on the number of perfect
1-error-correcting -ary codes are presented.Comment: 8 page
Photon storage in Lambda-type optically dense atomic media. IV. Optimal control using gradient ascent
We use the numerical gradient ascent method from optimal control theory to
extend efficient photon storage in Lambda-type media to previously inaccessible
regimes and to provide simple intuitive explanations for our optimization
techniques. In particular, by using gradient ascent to shape classical control
pulses used to mediate photon storage, we open up the possibility of high
efficiency photon storage in the non-adiabatic limit, in which analytical
solutions to the equations of motion do not exist. This control shaping
technique enables an order-of-magnitude increase in the bandwidth of the
memory. We also demonstrate that the often discussed connection between time
reversal and optimality in photon storage follows naturally from gradient
ascent. Finally, we discuss the optimization of controlled reversible
inhomogeneous broadening.Comment: 16 pages, 7 figures. V2: As published in Phys. Rev. A. Moved most of
the math to appendices or removed altogether. Switched order of Sections II
and III. Shortened abstract. Added reference
The Sepoy Rebellion of 1857-1859 and the attitude of representatives of various social thoughts to it
The Sepoy Rebellion of 1857-1859 and the attitude of representatives of various social thoughts to it are revealed in this article. The author consider the activity of BrhamoSamaj, Sikh sects, Wahhabi sect and the results of their activities during the Sepoy Rebellion
The Sepoy Rebellion of 1857-1859 and the attitude of representatives of various social thoughts to it
The Sepoy Rebellion of 1857-1859 and the attitude of representatives of various social thoughts to it are revealed in this article. The author consider the activity of BrhamoSamaj, Sikh sects, Wahhabi sect and the results of their activities during the Sepoy Rebellion
Photon storage in Lambda-type optically dense atomic media. II. Free-space model
In a recent paper [Gorshkov et al., Phys. Rev. Lett. 98, 123601 (2007)], we
presented a universal physical picture for describing a wide range of
techniques for storage and retrieval of photon wave packets in Lambda-type
atomic media in free space, including the adiabatic reduction of the photon
group velocity, pulse-propagation control via off-resonant Raman techniques,
and photon-echo based techniques. This universal picture produced an optimal
control strategy for photon storage and retrieval applicable to all approaches
and yielded identical maximum efficiencies for all of them. In the present
paper, we present the full details of this analysis as well some of its
extensions, including the discussion of the effects of non-degeneracy of the
two lower levels of the Lambda system. The analysis in the present paper is
based on the intuition obtained from the study of photon storage in the cavity
model in the preceding paper [Gorshkov et al., Phys. Rev. A 76, 033804 (2007)].Comment: 26 pages, 8 figures. V2: significant changes in presentation, new
references, higher resolution of figure
The Eurasian Vector as a Priority of Russia’s Parliamentary Diplomacy
The article discusses certain special aspects of Russia’s parliamentary diplomacy in the context of global confrontation with the West. It demonstrates that the Eurasian vector of the parliamentary dimension should become the priority thereof. The article researches multilateral and bilateral inter-parliamentary relations aimed at the formation of Eurasian law and the creation of conditions for functioning of Eurasian courts and arbitration tribunals. Certain features of the work of Eurasian parliamentary institutions are revealed, such as: the CSTO Parliamentary Assembly, IPA CIS, the Parliamentary Assembly of the Union of Belarus and Russia on economic, political, military, humanitarian integration in the post-Soviet territory.Aim. Disclosure of the content of the Eurasian vector of Russia’s parliamentary diplomacy as a priority dimension in the context of global confrontation with the West.Tasks. Analyze features of the Western and Eurasian vectors of parliamentary diplomacy of Russia; explore forms and methods of parliamentary diplomacy in the post-Soviet territory; determine ways to strengthen the role of the parliamentary dimension in the processes of Eurasian integration.Methods. Systematic approach, comparative analysis, compilation of the best practices.Results. The study showed the need for a transition to bilateral forms of inter-parliamentary cooperation between Russia and unfriendly countries of the West and the effectiveness of multilateral cooperation with the countries of the East in order to develop Eurasian integration. The relevance of creating a parliamentary dimension in the EAEU and completing the formation of parliamentary institutions in the CSTO and the Union State has been substantiated
Implementation of Fault-tolerant Quantum Logic Gates via Optimal Control
The implementation of fault-tolerant quantum gates on encoded logic qubits is
considered. It is shown that transversal implementation of logic gates based on
simple geometric control ideas is problematic for realistic physical systems
suffering from imperfections such as qubit inhomogeneity or uncontrollable
interactions between qubits. However, this problem can be overcome by
formulating the task as an optimal control problem and designing efficient
algorithms to solve it. In particular, we can find solutions that implement all
of the elementary logic gates in a fixed amount of time with limited control
resources for the five-qubit stabilizer code. Most importantly, logic gates
that are extremely difficult to implement using conventional techniques even
for ideal systems, such as the T-gate for the five-qubit stabilizer code, do
not appear to pose a problem for optimal control.Comment: 18 pages, ioptex, many figure
On Pure Spinor Superfield Formalism
We show that a certain superfield formalism can be used to find an off-shell
supersymmetric description for some supersymmetric field theories where
conventional superfield formalism does not work. This "new" formalism contains
even auxiliary variables in addition to conventional odd super-coordinates. The
idea of this construction is similar to the pure spinor formalism developed by
N.Berkovits. It is demonstrated that using this formalism it is possible to
prove that the certain Chern-Simons-like (Witten's OSFT-like) theory can be
considered as an off-shell version for some on-shell supersymmetric field
theories. We use the simplest non-trivial model found in [2] to illustrate the
power of this pure spinor superfield formalism. Then we redo all the
calculations for the case of 10-dimensional Super-Yang-Mills theory. The
construction of off-shell description for this theory is more subtle in
comparison with the model of [2] and requires additional Z_2 projection. We
discover experimentally (through a direct explicit calculation) a non-trivial
Z_2 duality at the level of Feynman diagrams. The nature of this duality
requires a better investigation
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