Wei-Shih Yang
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View article: Tractability of $ L_2 $-approximation and integration over weighted Korobov spaces of increasing smoothness in the worst case setting
Tractability of $ L_2 $-approximation and integration over weighted Korobov spaces of increasing smoothness in the worst case setting Open
This paper is devoted to the study of tractability of the $ L_2 $-approximation and integration from weighted Korobov spaces of increasing smoothness in the worst-case setting. The considered algorithms use information from the class $ \La…
View article: Additive estimates of the permanent using Gaussian fields
Additive estimates of the permanent using Gaussian fields Open
We present a randomized algorithm for estimating the permanent of an $M \times M$ real matrix $A$ up to an additive error. We do this by viewing the permanent $\mathrm{perm}(A)$ of $A$ as the expectation of a product of centered joint Gaus…
View article: The localization of quantum random walks on Sierpinski gaskets
The localization of quantum random walks on Sierpinski gaskets Open
We consider discrete time quantum random walks on a Sierpinski gasket. We study the hitting probability as the level of the fractal graph goes to infinity in terms of their localization exponents βw, total variation exponents δw, and relat…
View article: Time-inhomogeneous Quantum Walks with Decoherence on Discrete Infinite Spaces
Time-inhomogeneous Quantum Walks with Decoherence on Discrete Infinite Spaces Open
In quantum computation theory, quantum random walks have been utilized by many quantum search algorithms which provide improved performance over their classical counterparts. However, due to the importance of the quantum decoherence phenom…
View article: Time-inhomogeneous Quantum Markov Chains with Decoherence on Finite State Spaces
Time-inhomogeneous Quantum Markov Chains with Decoherence on Finite State Spaces Open
We introduce and study time-inhomogeneous quantum Markov chains with parameter $ζ\ge 0$ and decoherence parameter $0 \leq p \leq 1$ on finite spaces and their large scale equilibrium properties. Here $ζ$ resembles the inverse temperature i…
View article: Fast Botnet Detection From Streaming Logs Using Online Lanczos Method
Fast Botnet Detection From Streaming Logs Using Online Lanczos Method Open
Botnet, a group of coordinated bots, is becoming the main platform of malicious Internet activities like DDOS, click fraud, web scraping, spam/rumor distribution, etc. This paper focuses on design and experiment of a new approach for botne…
View article: Large-scale joint topic, sentiment & user preference analysis for online reviews
Large-scale joint topic, sentiment & user preference analysis for online reviews Open
This paper presents a non-trivial reconstruction of a previous joint topic-sentiment-preference review model TSPRA with stick-breaking representation under the framework of variational inference (VI) and stochastic variational inference (S…