The mean and variance of the reciprocal merit factor of four classes of
binary sequences
November 25, 2019
Mathematics
Computer Science
Number Theory
Information Theory
Information Theory
The merit factor of a {−1,1} binary sequence measures the collective
smallness of its non-trivial aperiodic autocorrelations. Binary sequences with
large merit factor are important in digital communications because they allow
the effic...
Aggregative Efficiency of Bayesian Learning in Networks
November 22, 2019
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Economics
Computer Science
Quantitative Finance
Theoretical Economics
Social and Information Networks
General Economics
Economics
When individuals in a social network learn about an unknown state from
private signals and neighbors' actions, the network structure often causes
information loss. We consider rational agents and Gaussian signals in the
canonical sequential...
Take an Emotion Walk: Perceiving Emotions from Gaits Using Hierarchical
Attention Pooling and Affective Mapping
November 20, 2019
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Computer Science
Computer Vision and Pattern Recognition
Machine Learning
Computer Vision and Pattern Recognition
Machine Learning
We present an autoencoder-based semi-supervised approach to classify
perceived human emotions from walking styles obtained from videos or
motion-captured data and represented as sequences of 3D poses. Given the motion
on each joint in the p...
Classification with Costly Features in Hierarchical Deep Sets
November 20, 2019
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Statistics
Computer Science
Machine Learning
Artificial Intelligence
Machine Learning
Classification with Costly Features (CwCF) is a classification problem that
includes the cost of features in the optimization criteria. Individually for
each sample, its features are sequentially acquired to maximize accuracy while
minimizi...
A look into some of the fine properties of functions with bounded
A-variation
November 19, 2019
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Mathematics
Analysis of PDEs
Analysis of PDEs
We establish certain fine properties for functions of bounded A-variation known in the classical BV setting. Here, A is a kth
order constant-coefficient homogeneous linear differential operator with a
finite-dimens...
Developments of curves with respect to symmetric tensors and existence
of isometric immersions with prescribed second fundamental form
November 18, 2019
Mathematics
Differential Geometry
In this paper, we introduce the notion of developments of curves with respect
to symmetric tensors and use it to prove the existence of isometric immersions
into a general ambient space with prescribed second fundamental form. Our
method pr...
The Laplace transform of the integrated Volterra Wishart process
November 18, 2019
Mathematics
Quantitative Finance
Probability
Computational Finance
We establish an explicit expression for the conditional Laplace transform of
the integrated Volterra Wishart process in terms of a certain resolvent of the
covariance function. The core ingredient is the derivation of the conditional
Laplac...
A Gr\"obner basis for Kazhdan-Lusztig ideals of the flag variety of
affine type A
November 18, 2019
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Mathematics
Algebraic Geometry
Combinatorics
A Kazhdan-Lusztig variety is the intersection of a locally-closed Schubert
cell with an opposite Schubert variety in a flag variety. We present a linear
parametrization of the Schubert cells in the affine type A flag variety via
Bott-Samels...
Quantifying the unextendibility of entanglement
November 18, 2019
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Physics
Computer Science
Mathematics
Quantum Physics
Information Theory
Mathematical Physics
Information Theory
Mathematical Physics
Entanglement is a striking feature of quantum mechanics, and it has a key
property called unextendibility. In this paper, we present a framework for
quantifying and investigating the unextendibility of general bipartite quantum
states. Firs...
Optimizing Cooperative path-finding: A Scalable Multi-Agent RRT* with
Dynamic Potential Fields
November 16, 2019
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Computer Science
Multiagent Systems
Artificial Intelligence
Robotics
Cooperative path-finding in multi-agent systems demands scalable solutions to
navigate agents from their origins to destinations without conflict. Despite
the breadth of research, scalability remains hampered by increased
computational dema...