Efficient Evader Detection in Mobile Sensor Networks
January 24, 2021
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Mathematics
Dynamical Systems
Algebraic Topology
Dynamical Systems
Algebraic Topology
Suppose one wants to monitor a domain with sensors, each sensing a small
ball-shaped region, but the domain is hazardous enough that one cannot control
the placement of the sensors. A prohibitively large number of randomly placed
sensors co...
Weakly Supervised Learning for Facial Behavior Analysis : A Review
January 24, 2021
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Computer Science
Computer Vision and Pattern Recognition
In the recent years, there has been a shift in facial behavior analysis from
the laboratory-controlled conditions to the challenging in-the-wild conditions
due to the superior performance of deep learning based approaches for many real
worl...
Solving optimal stopping problems with Deep Q-Learning
January 24, 2021
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Quantitative Finance
Statistics
Pricing of Securities
Machine Learning
We propose a reinforcement learning (RL) approach to model optimal exercise
strategies for option-type products. We pursue the RL avenue in order to learn
the optimal action-value function of the underlying stopping problem. In
addition to ...
Constraints on the minimally extended varying speed of light model using
the Pantheon+ dataset
January 24, 2021
Physics
Cosmology and Nongalactic Astrophysics
In the context of the minimally extended varying speed of light (meVSL)
model, both the absolute magnitude and the luminosity distance of type Ia
supernovae (SNe Ia) deviate from those predicted by general relativity (GR).
Using data from t...
Leveraging Expert Consistency to Improve Algorithmic Decision Support
January 24, 2021
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Computer Science
Machine Learning
Human-Computer Interaction
Machine learning (ML) is increasingly being used to support high-stakes
decisions. However, there is frequently a construct gap: a gap between the
construct of interest to the decision-making task and what is captured in
proxies used as lab...
Computability of the Channel Reliability Function and Related Bounds
January 24, 2021
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Computer Science
Mathematics
Information Theory
Information Theory
The channel reliability function is an important tool that characterizes the
reliable transmission of messages over communication channels. For many
channels, only upper and lower bounds of the function are known. We analyze the
computabili...
Cartesian exponentiation and monadicity
January 24, 2021
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Mathematics
Category Theory
Algebraic Topology
An important result in quasi-category theory due to Lurie is the that
cocartesian fibrations are exponentiable, in the sense that pullback along a
cocartesian fibration admits a right Quillen right adjoint that moreover
preserves cartesian ...
Acceleration Methods
January 23, 2021
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Mathematics
Computer Science
Optimization and Control
Machine Learning
Numerical Analysis
Numerical Analysis
This monograph covers some recent advances in a range of acceleration
techniques frequently used in convex optimization. We first use quadratic
optimization problems to introduce two key families of methods, namely momentum
and nested optim...
Bubble tree compactification of instanton moduli spaces on 4-orbifolds
M/Z_{\alpha}
January 23, 2021
Mathematics
Differential Geometry
In the study of moduli spaces defined by the anti-self-dual (ASD) Yang-Mills
equations on SU(2) or SO(3) bundles over closed oriented Riemannian 4-manifolds
M, the bubble tree compactification was defined. In this paper, we apply this
techn...
Towards Optimal Branching of Linear and Semidefinite Relaxations for
Neural Network Robustness Certification
January 22, 2021
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Computer Science
Mathematics
Machine Learning
Optimization and Control
In this paper, we study certifying the robustness of ReLU neural networks
against adversarial input perturbations. To diminish the relaxation error
suffered by the popular linear programming (LP) and semidefinite programming
(SDP) certifica...