We study the problem of estimating the stationary mass--also called the unigram mass-- that is missing from a single trajectory of a discrete-time, ergodic Markov chain. This problem has several applications--for exam...
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We study the problem of estimating the stationary mass--also called the unigram mass-- that is missing from a single trajectory of a discrete-time, ergodic Markov chain. This problem has several applications--for example, estimating the stationary missing mass is critical for accurately smoothing probability estimates in sequence models. While the classical Good-Turing estimator from the 1950s has appealing properties for i.i.d. data, it is known to be biased in the Markovian setting, and other heuristic estimators do not come equipped with guarantees. Operating in the general setting in which the size of the state space may be much larger than the length n of the trajectory, we develop a linear-runtime estimator called Windowed Good-Turing (WINGIT) and show that its risk decays as Õ(Tmix/n), where Tmix denotes the mixing time of the chain in total variation distance. Notably, this rate is independent of the size of the state space and minimax-optimal up to a logarithmic factor in n/Tmix. We also present an upper bound on the variance of the missing mass random variable, which may be of independent interest. We extend our estimator to approximate the stationary mass placed on elements occurring with small frequency in the trajectory. Finally, we demonstrate the efficacy of our estimators both in simulations on canonical chains and on sequences constructed from natural language text.
In recent times, planar omnidirectional wireless power transfer has emerged as a prominent technology, especially in consumer electronics application. However, in such scenario, the presence of multiple receivers with...
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This study introduces a novel methodology designed to facilitate the capture of comprehensive image datasets, crucial for accurate 3D modeling of expansive indoor spaces. Leveraging orthophotos generated from panorami...
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Conventional synthetic aperture radar (SAR) relies on coherent phase information throughout the data collection process for image reconstruction. In this paper, we present a technique for phaseless SAR imaging using a...
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Power systems are moving toward a low-carbon or carbon-neutral future where high penetration of renewables is *** conventional fossil-fueled synchronous generators in the transmission network being replaced by renewab...
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Power systems are moving toward a low-carbon or carbon-neutral future where high penetration of renewables is *** conventional fossil-fueled synchronous generators in the transmission network being replaced by renewable energy generation which is highly distributed across the entire grid,new challenges are emerging to the control and stability of large-scale power *** analysis and control methods are needed for power systems to cope with the ongoing *** the CSEE JPES forum,six leading experts were invited to deliver keynote speeches,and the participating researchers and professionals had extensive exchanges and discussions on the control and stability of power ***,potential changes and challenges of power systems with high penetration of renewable energy generation were introduced and explained,and advanced control methods were proposed and analyzed for the transient stability enhancement of power grids.
This paper studies the formation of final opinions for the Friedkin-Johnsen (FJ) model with a community of partially stubborn agents. The underlying network of the FJ model is symmetric and generated from a random gra...
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In this paper, a system that can determine whether a passenger is on the tram by using only the ultrasonic generator inside the tram vehicle and the built-in microphone of the smartphone was proposed. Due to the proba...
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A fast-charging policy is widely employed to alleviate the inconvenience caused by the extended charging time of electric vehicles. However, fast charging exacerbates battery degradation and shortens battery lifespan....
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A fast-charging policy is widely employed to alleviate the inconvenience caused by the extended charging time of electric vehicles. However, fast charging exacerbates battery degradation and shortens battery lifespan. In addition, there is still a lack of tailored health estimations for fast-charging batteries;most existing methods are applicable at lower charging rates. This paper proposes a novel method for estimating the health of lithium-ion batteries, which is tailored for multi-stage constant current-constant voltage fast-charging policies. Initially, short charging segments are extracted by monitoring current switches,followed by deriving voltage sequences using interpolation techniques. Subsequently, a graph generation layer is used to transform the voltage sequence into graphical data. Furthermore, the integration of a graph convolution network with a long short-term memory network enables the extraction of information related to inter-node message transmission, capturing the key local and temporal features during the battery degradation process. Finally, this method is confirmed by utilizing aging data from 185 cells and 81 distinct fast-charging policies. The 4-minute charging duration achieves a balance between high accuracy in estimating battery state of health and low data requirements, with mean absolute errors and root mean square errors of 0.34% and 0.66%, respectively.
In the past few decades,circuits based on gallium nitride high elec-tron mobility transistor(GaN HEMT)have demonstrated exceptional potential in a wide range of high-power and high-frequency applica-tions,such as the ...
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In the past few decades,circuits based on gallium nitride high elec-tron mobility transistor(GaN HEMT)have demonstrated exceptional potential in a wide range of high-power and high-frequency applica-tions,such as the new generation mobile communications,object de-tection and consumer electronics,*** a critical intermediary be-tween GaN HEMT devices and circuit-level applications,GaN HEMT large-signal models play a pivotal role in the design,application and development of GaN HEMT devices and *** review pro-vides an in-depth examination of the advancements in GaN HEMT large-signal modeling in recent *** and comprehensive coverage of various aspects of GaN HEMT large-signal model was of-fered,including large-signal measurement setups,classical formula-tion methods,model classification and non-ideal effects,*** order to better serve follow-up researches,this review also explored poten-tial future directions for the development of GaN HEMT large-signal modeling.
Walking while engaging in distracting activities affects our perception of changes happening on the road, leading to exposure to hazardous conditions. This study aimed to evidence that pedestrians who become distracte...
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