... the
Poincar´e-Birkhoff-Witt theorem.
Geometric Models for
Noncommutative Algebras
Ana Cannas da Silva
1
Alan Weinstein
2
University of California at Berkeley
December 1, 1998
1
acannas@math.berkeley.edu, ... for infinite
dimensional Lie algebras, as well as for Lie algebras over arbitrary fields or rings.
1.1 Universal Enveloping Algebras
Regarding g just as a vector space...
... Lexicon Models for Statistical Machine Translation using a
Maximum Entropy Approach
Ismael Garc
´
a Varea
Dpto. de Inform´atica
Univ. de Castilla-La Mancha
Campus Universitario s/n
02071 Albacete, ... Statistical Machine Translation
The goal of the translation process in statisti-
cal machine translation can be formulated as fol-
lows: A source language string
is to be translated in...
... URL and search URL capture
2. Automated data capture
3. Manual data capture
4. Third party data capture
5. Metric calculations completed
For full details of each metric, the data points contained ...
sites.
29
Training data [153] (primary axis)
Validation data [104] (primary axis)
All sites [257] (secondary axis)
Figure 4-8 : The ‘Within Sum Squares’ plot on the training data shows a s...
... the task of text classification in a Bayesian
learning framework. This approach assumes that the
text data was generated by a parametric model, and
uses training data to calculate Bayes-optimal ... 1976.
Mehran Sahami, Susan Dumais, David Heckerman, and
Eric Horvitz. A bayesian approach to filtering junk e-mail.
In AAAI-98 Workshop on Learning for Text Categoriza-
tion, 1998.
Mehran Sah...
... research.
Finally, as standard processes become more widely
used as a basis for project planning and organizational
learning, research on tailoring and scaling a standard
process for a particular ... manage-
ment (Davenport, Jarvenpaa, and Beers 1996; Maier
and Remus 2002). For example, instead of storing “les-
sons learned” in a separate database, they could be
embedded in a...
... exclusively on
parallel corpora; the caveat here is that appropri-
ate training data may be scarce when porting this
model to different text domains (where abstracts
378
are not available for automatic ... it has been scripted beforehand
and is usually read off an autocue.
One stumbling block to performing a compara-
tive study between written data and speech data
is that there are no nat...
... role in nat-
ural language processing (NLP) and information
retrieval (IR) applications. One particular applica-
tion of text categorization is anti-spam E-mail fil-
tering, where the goal is to ... Corpora
We performed experiments on two publicly avail-
able E-mail corpora:
2
Ling-Spam
(Androutsopou-
los et al., 2000b) and
PU1
(Androutsopoulos et al.,
200 0a) . We trained a Naive Bayes...
... representation of
the passive scalar "eld. When we view the passive scalar "eld on large scales, we are e!ectively
taking a coarse-grained average over small scales. As the small-scale #uctuations ... nonlocal operator K. Fortunate-
ly, in certain cases, the calculation can be greatly simpli"ed by a suitable choice of trial "elds u.
A related dual (nonlocal) maximal...