On the Feedback Law in Stochastic Optimal Nonlinear Control

Kavli Affiliate: Ran Wang | First 5 Authors: Mohamed Naveed Gul Mohamed, Suman Chakravorty, Raman Goyal, Ran Wang, | Summary: We consider the problem of nonlinear stochastic optimal control. This problem is thought to be fundamentally intractable owing to Bellman’s "curse of dimensionality". We present a result that shows that repeatedly solving an open-loop deterministic […]


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Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian

Kavli Affiliate: Jing Wang | First 5 Authors: Rodrigo Banuelos, Phanuel Mariano, Jing Wang, , | Summary: For domains in $mathbb{R}^d$, $dgeq 2$, we prove universal upper and lower bounds on the product of the bottom of the spectrum for the Laplacian to the power $p>0$ and the supremum over all starting points of the […]


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On the Search for Feedback in Reinforcement Learning

Kavli Affiliate: Ran Wang | First 5 Authors: Ran Wang, Karthikeya S. Parunandi, Aayushman Sharma, Raman Goyal, Suman Chakravorty | Summary: The problem of Reinforcement Learning (RL) in an unknown nonlinear dynamical system is equivalent to the search for an optimal feedback law utilizing the simulations/ rollouts of the dynamical system. Most RL techniques search […]


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Measuring black hole masses from tidal disruption events and testing the $M_rm BH-σ_*$ relation

Kavli Affiliate: Fukun Liu| Summary: Liu and collaborators recently proposed an elliptical accretion disk model for tidal disruption events (TDEs). They showed that the accretion disks of optical/UV TDEs are large and highly eccentric and suggested that the broad optical emission lines with complex and diverse profiles originate in the cool eccentric accretion disk of […]


Continue.. Measuring black hole masses from tidal disruption events and testing the $M_rm BH-σ_*$ relation

Simulating Kilonovae in the ΛCDM Universe

Kavli Affiliate: Li Xin Li |Summary:Kilonovae are optical flashes produced in the aftermath of neutron star-neutron star mergers (NNMs) or neutron star-black hole mergers (NBMs). In this work, we use the Millennium Simulation, combined with a semi-analytic galaxy formation model–GABE (Galaxy Assembly with Binary Evolution) which adopts binary stellar population synthesis models, to explore the […]


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Line Expansion Opacity in Relativistically Expanding Media

Kavli Affiliate: Li Xin Li |Summary:Spectral lines of heavy atomic elements in the ejecta of supernovae and neutron star mergers can have important contribution to the opacity of the ejecta matter even when the abundance of the elements is very small. Under favorable conditions, the line expansion opacity arising from spectral lines and the expansion […]


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Catching butterflies in the sky: Extended catalog of winged or X-shaped radio sources from the latest FIRST data release

Kavli Affiliate: Xuebing Wu | Summary:We present a catalog of 290 "winged" or X-shaped radio galaxies (XRGs) extracted from the latest (2014 December 17) data release of the "Very Large Array Faint Images of the Radio Sky at Twenty centimeter." We have combined these radio images with their counterparts in the TIFR GMRT sky survey […]


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Design of Millimeter-wave Detector for Gyrotron Power Monitoring

Kavli Affiliate: Fukun Liu | First 5 Authors: Weiye Xu, Handong Xu, Fukun Liu, Xiaojie Wang, | Summary: The real-time power monitoring of gyrotron is one of the key issues in the operation of electron cyclotron resonance heating system. The detector can be used for real-time power monitoring. We analyzed the principle of diode detection […]


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Design of Millimeter-wave Detector for Gyrotron Power Monitoring

Kavli Affiliate: Fukun Liu| Summary: The real-time power monitoring of gyrotron is one of the key issues in the operation of electron cyclotron resonance heating system. The detector can be used for real-time power monitoring. We analyzed the principle of diode detection and designed a D-band wideband detector based on Schottky diode in this paper. […]


Continue.. Design of Millimeter-wave Detector for Gyrotron Power Monitoring