activity
20042022
most citedA general theory of particle filters in hidden Markov models and some applications

67 citations · 394 across the 21 of their papers we have counts for

collaborators

21 papers

stat.CO2022

Adaptive Data Depth via Multi-Armed Bandits

Tavor Z. Baharav, Tze Leung Lai

Data depth, introduced by Tukey (1975), is an important tool in data science, robust statistics, and computational geometry. One chief barrier to its broader practical utility is t…

math.OC2021

Exploration Enhancement of Nature-Inspired Swarm-based Optimization Algorithms

Kwok Pui Choi, Enzio Hai Hong Kam, Tze Leung Lai +2

Nature-inspired swarm-based algorithms have been widely applied to tackle high-dimensional and complex optimization problems across many disciplines. They are general purpose optim…

stat.ME2014

A New Approach to Designing Phase I-II Cancer Trials for Cytotoxic Chemotherapies

Jay Bartroff, Tze Leung Lai, Balasubramanian Narasimhan

Recently there has been much work on early phase cancer designs that incorporate both toxicity and efficacy data, called Phase I-II designs because they combine elements of both ph…

math.ST2013★ 67 cited

A general theory of particle filters in hidden Markov models and some applications

Hock Peng Chan, Tze Leung Lai

By making use of martingale representations, we derive the asymptotic normality of particle filters in hidden Markov models and a relatively simple formula for their asymptotic var…

math.ST2012★ 18 cited

Evaluating probability forecasts

Tze Leung Lai, Shulamith T. Gross, David Bo Shen

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positi…

math.PR2012★ 14 cited

A sequential Monte Carlo approach to computing tail probabilities in stochastic models

Hock Peng Chan, Tze Leung Lai

Sequential Monte Carlo methods which involve sequential importance sampling and resampling are shown to provide a versatile approach to computing probabilities of rare events. By m…