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    Adaptive group Lasso neural network models for functions of few variables and time-dependent data

    Learning nonlinear functions from time-varying measurements is always difficult due to the high correlation among observations. This task is more challenging when the target function is high dimensional. In th...

    Lam Si Tung Ho, Nicholas Richardson in Sampling Theory, Signal Processing, and Da… (2023)

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    SPADE4: Sparsity and Delay Embedding Based Forecasting of Epidemics

    Predicting the evolution of diseases is challenging, especially when the data availability is scarce and incomplete. The most popular tools for modelling and predicting infectious disease epidemics are compart...

    Esha Saha, Lam Si Tung Ho, Giang Tran in Bulletin of Mathematical Biology (2023)

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    When can we reconstruct the ancestral state? Beyond Brownian motion

    Reconstructing the ancestral state of a group of species helps answer many important questions in evolutionary biology. Therefore, it is crucial to understand when we can estimate the ancestral state accuratel...

    Nhat L. Vu, Thanh P. Nguyen, Binh T. Nguyen, Vu Dinh in Journal of Mathematical Biology (2023)

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    Ancestral state reconstruction with large numbers of sequences and edge-length estimation

    Likelihood-based methods are widely considered the best approaches for reconstructing ancestral states. Although much effort has been made to study properties of these methods, previous works often assume that...

    Lam Si Tung Ho, Edward Susko in Journal of Mathematical Biology (2022)

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    On the convergence of the maximum likelihood estimator for the transition rate under a 2-state symmetric model

    Maximum likelihood estimators are used extensively to estimate unknown parameters of stochastic trait evolution models on phylogenetic trees. Although the MLE has been proven to converge to the true value in t...

    Lam Si Tung Ho, Vu Dinh, Frederick A. Matsen IV in Journal of Mathematical Biology (2020)

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    Birth/birth-death processes and their computable transition probabilities with biological applications

    Birth-death processes track the size of a univariate population, but many biological systems involve interaction between populations, necessitating models for two or more populations simultaneously. A lack of ...

    Lam Si Tung Ho, Jason Xu, Forrest W. Crawford in Journal of Mathematical Biology (2018)

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    Article

    Phase transition on the convergence rate of parameter estimation under an Ornstein–Uhlenbeck diffusion on a tree

    Diffusion processes on trees are commonly used in evolutionary biology to model the joint distribution of continuous traits, such as body mass, across species. Estimating the parameters of such processes from ...

    Cécile Ané, Lam Si Tung Ho, Sebastien Roch in Journal of Mathematical Biology (2017)