A Valuation-Theoretic Approach to The Generalized Jacobian Conjecture
March 8, 2012
Mathematics
Commutative Algebra
Our goal is to settle the following result: {\sf Theorem:} {\it Let R be a
Krull domain domain and let Δ1 and Δ2 be subsets of Ht1(R) such that Δ1∪Δ2=Ht1(R) and $\Delta_1\cap
\Delta_2 = ...
Algorithms for Learning Kernels Based on Centered Alignment
March 2, 2012
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Computer Science
Machine Learning
Artificial Intelligence
This paper presents new and effective algorithms for learning kernels. In
particular, as shown by our empirical results, these algorithms consistently
outperform the so-called uniform combination solution that has proven to be
difficult to ...
Finitude g\'eom\'etrique en g\'eom\'etrie de Hilbert + an
erratum/addendum
February 24, 2012
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Mathematics
Geometric Topology
Group Theory
Metric Geometry
The paper is divided in 2 parts. The first part is the original paper of the
second and third authors arXiv:1202.5442v2. The second part is an
erratum/addendum written in english and concatenated at the end of the former
paper. In the errat...
Zero Noise Selections of Multidimensional Peano Phenomena
Some Connections Between The Arithmetic and The Geometry of Lipschitz
Integers
January 27, 2012
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Mathematics
Number Theory
Some relationships between the arithmetic and the geometry of Lipschitz and
Hurwitz integers are presented. In particular, it is shown that the (ternary)
vector product of a Lipschitz integer α with two other Lipschitz
integers, both...
Thermodynamics: Extending and Reconstructing of Classical Theoretical
Framework
January 20, 2012
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Physics
Chemical Physics
Statistical Mechanics
Classical Physics
Chemical Physics
Statistical Mechanics
Classical Physics
The deep problems caused from the limitations of theoretical framework itself
can only be clarified by extending and reconstructing of the theoretical
framework, we extend classical theoretical framework of thermodynamics, break
through the...
Identification of transformer overload and new energy planning for
enterprises based on load forecasting
January 11, 2012
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Physics
Mathematics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Mathematical Physics
The new energy system constructed by energy storage and photovoltaic power
generation system can effectively solve the problem of transformer overload
operation in some enterprises. It can not only reduce the cost of electricity,
but also r...
The Fundamental Theorem of Phyllotaxis revisited
January 8, 2012
Quantitative Biology
Tissues and Organs
Jean's `Fundamental Theorem of Phyllotaxis' (\emph{Phyllotaxis: a systematic
study in Plant Morphogenesis}, CUP 1994) describes the relationship between the
count numbers of observed spirals in cylindrical lattices and the horizontal
angle ...
An explicit version of Shimura's reciprocity law for Siegel modular
functions
December 29, 2011
Mathematics
Number Theory
We give an explicit version of Shimura's reciprocity law for singular values
of Siegel modular functions. We use this to construct the first examples of
class invariants of quartic CM fields that are smaller than Igusa invariants.
Our state...
The Extended UCB Policies for Frequentist Multi-armed Bandit Problems
December 8, 2011
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Computer Science
Mathematics
Statistics
Machine Learning
Probability
Statistics Theory
Statistics Theory
The multi-armed bandit (MAB) problem is a widely studied model in the field
of operations research for sequential decision making and reinforcement
learning. This paper mainly considers the classical MAB model with the
heavy-tailed reward d...