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@inproceedings{DBLP:conf/nips/LiuG0P23,
  author       = {Tianle Liu and
                  Promit Ghosal and
                  Krishnakumar Balasubramanian and
                  Natesh S. Pillai},
  title        = {Towards Understanding the Dynamics of Gaussian-Stein Variational Gradient
                  Descent},
  booktitle    = {NeurIPS},
  year         = {2023}
}

@article{DBLP:journals/corr/abs-2305-14076,
  author       = {Tianle Liu and
                  Promit Ghosal and
                  Krishnakumar Balasubramanian and
                  Natesh S. Pillai},
  title        = {Towards Understanding the Dynamics of Gaussian-Stein Variational Gradient
                  Descent},
  journal      = {CoRR},
  volume       = {abs/2305.14076},
  year         = {2023}
}

@article{DBLP:journals/sac/DavisMSP22,
  author       = {Andrew D. Davis and
                  Youssef M. Marzouk and
                  Aaron Smith and
                  Natesh S. Pillai},
  title        = {Rate-optimal refinement strategies for local approximation {MCMC}},
  journal      = {Stat. Comput.},
  volume       = {32},
  number       = {4},
  pages        = {60},
  year         = {2022}
}

@inproceedings{DBLP:conf/aistats/HoFGMP22,
  author       = {Nhat Ho and
                  Avi Feller and
                  Evan Greif and
                  Luke Miratrix and
                  Natesh S. Pillai},
  title        = {Weak Separation in Mixture Models and Implications for Principal Stratification},
  booktitle    = {{AISTATS}},
  series       = {Proceedings of Machine Learning Research},
  volume       = {151},
  pages        = {5416--5458},
  publisher    = {{PMLR}},
  year         = {2022}
}

@article{DBLP:journals/jap/MangoubiPS21,
  author       = {Oren Mangoubi and
                  Natesh S. Pillai and
                  Aaron Smith},
  title        = {Simple conditions for metastability of continuous Markov chains},
  journal      = {J. Appl. Probab.},
  volume       = {58},
  number       = {1},
  pages        = {83--105},
  year         = {2021}
}

@article{DBLP:journals/corr/abs-2003-10069,
  author       = {Vishesh Jain and
                  Natesh S. Pillai and
                  Aaron Smith},
  title        = {Kac meets Johnson and Lindenstrauss: a memory-optimal, fast Johnson-Lindenstrauss
                  transform},
  journal      = {CoRR},
  volume       = {abs/2003.10069},
  year         = {2020}
}

@article{DBLP:journals/juq/ConradDMPS18,
  author       = {Patrick R. Conrad and
                  Andrew D. Davis and
                  Youssef M. Marzouk and
                  Natesh S. Pillai and
                  Aaron Smith},
  title        = {Parallel Local Approximation {MCMC} for Expensive Models},
  journal      = {{SIAM/ASA} J. Uncertain. Quantification},
  volume       = {6},
  number       = {1},
  pages        = {339--373},
  year         = {2018}
}

@article{DBLP:journals/corr/abs-1808-03230,
  author       = {Oren Mangoubi and
                  Natesh S. Pillai and
                  Aaron Smith},
  title        = {Does Hamiltonian Monte Carlo mix faster than a random walk on multimodal
                  densities?},
  journal      = {CoRR},
  volume       = {abs/1808.03230},
  year         = {2018}
}

@article{DBLP:journals/sac/BornnPSW17,
  author       = {Luke Bornn and
                  Natesh S. Pillai and
                  Aaron Smith and
                  Dawn Woodard},
  title        = {The use of a single pseudo-sample in approximate Bayesian computation},
  journal      = {Stat. Comput.},
  volume       = {27},
  number       = {3},
  pages        = {583--590},
  year         = {2017}
}

@inproceedings{DBLP:conf/aistats/BasseSP16,
  author       = {Guillaume W. Basse and
                  Aaron Smith and
                  Natesh S. Pillai},
  title        = {Parallel Markov Chain Monte Carlo via Spectral Clustering},
  booktitle    = {{AISTATS}},
  series       = {{JMLR} Workshop and Conference Proceedings},
  volume       = {51},
  pages        = {1318--1327},
  publisher    = {JMLR.org},
  year         = {2016}
}

@article{DBLP:journals/corr/JohndrowSPD16,
  author       = {James E. Johndrow and
                  Aaron Smith and
                  Natesh S. Pillai and
                  David B. Dunson},
  title        = {Inefficiency of Data Augmentation for Large Sample Imbalanced Data},
  journal      = {CoRR},
  volume       = {abs/1605.05798},
  year         = {2016}
}

@article{DBLP:journals/jmlr/PillaiWLMW07,
  author       = {Natesh S. Pillai and
                  Qiang Wu and
                  Feng Liang and
                  Sayan Mukherjee and
                  Robert L. Wolpert},
  title        = {Characterizing the Function Space for Bayesian Kernel Models},
  journal      = {J. Mach. Learn. Res.},
  volume       = {8},
  pages        = {1769--1797},
  year         = {2007}
}