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Alice Huang

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2 publications

preprint2026arXiv

Low-Cost Neural Radiance Fields

Neural Radiance Fields (NeRF) achieve high-quality novel-view synthesis, but their long training times and reliance on dense input views limit accessibility. We present a comparative study of three accelerated NeRF variants - DS-NeRF, TensoRF, and HashNeRF and explore extensions targeted at the low-compute, low-data regime. First, we add a depth-supervision loss derived from COLMAP keypoints to TensoRF (TensoRF-DS) and evaluate it on the LLFF dataset under reduced view counts. Second, we ablate the feature-decoding MLP of TensoRF and study the effect of input downsampling on PSNR and runtime on the synthetic Lego scene. Third, we propose four architectural variants of the HashNeRF color and density networks, including residual and convolutional designs, and report PSNR/training-time tradeoffs under matched iteration budgets. Under iso-time evaluation, none of our extensions conclusively outperform the published baselines, but the experiments characterize which extensions transfer to constrained settings and surface design questions for future work.

preprint2021arXiv

H-chromatic symmetric functions

We introduce HH-chromatic symmetric functions, XGHX_{G}^{H}, which use the HH-coloring of a graph GG to define a generalization of Stanley's chromatic symmetric functions. We say two graphs G1G_1 and G2G_2 are HH-chromatically equivalent if XG1H=XG2HX_{G_1}^{H} = X_{G_2}^{H}, and use this idea to study uniqueness results for HH-chromatic symmetric functions, with a particular emphasis on the case HH is a complete bipartite graph. We also show that several of the classical bases of the space of symmetric functions, i.e. the monomial symmetric functions, power sum symmetric functions, and elementary symmetric functions, can be realized as HH-chromatic symmetric functions. We end with some conjectures and open problems.

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