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Testing new wrapping method
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WGUNDERWOOD committed May 3, 2024
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118 changes: 34 additions & 84 deletions tests/phd_dissertation_in.tex
Original file line number Diff line number Diff line change
Expand Up @@ -242,8 +242,7 @@
and nontraditional data.

We begin in the regression setting by studying the Mondrian random forest, a
variant in which the partitions are drawn from a Mondrian process.
We present a
variant in which the partitions are drawn from a Mondrian process. We present a
comprehensive analysis of the statistical properties of Mondrian random
forests, including a central limit theorem for the estimated regression
function and a characterization of the bias. We show how to conduct feasible
Expand All @@ -255,16 +254,14 @@
dependent dyadic network data. We present results for minimax-optimal
estimation, including a novel lower bound for the dyadic uniform convergence
rate, and develop methodology for uniform inference via confidence bands and
counterfactual analysis. Our methods are based on
strong approximations and are
counterfactual analysis. Our methods are based on strong approximations and are
designed to be adaptive to potential dyadic degeneracy. We give empirical
results with simulated and real-world economic trade data.

Finally, we develop some new probabilistic results with applications to
nonparametric statistics. Coupling has become a popular approach for
distributional analysis in recent years, and Yurinskii's method stands out for
its wide applicability and explicit formulation. We present a
generalization of
its wide applicability and explicit formulation. We present a generalization of
Yurinskii's coupling, treating approximate martingale data under weaker
conditions than previously imposed. We allow for Gaussian mixture coupling
distributions, and a third-order method permits faster rates in certain
Expand All @@ -275,10 +272,8 @@
}
\acknowledgments{

I am extremely fortunate to have been surrounded by many
truly wonderful people
over the course of my career, and without their support
this dissertation would
I am extremely fortunate to have been surrounded by many truly wonderful people
over the course of my career, and without their support this dissertation would
not have been possible. While it is impossible for me to identify every one of
them individually, I would like to mention a few names in particular to
recognize those who have been especially important to me during the last few
Expand All @@ -288,93 +283,48 @@
Matias Cattaneo. Working with Matias has been genuinely inspirational for me,
and I could not have asked for a more rewarding start to my journey as a
researcher. From the very beginning, he has guided me expertly through my
studies, providing hands-on assistance when required while also
allowing me the
studies, providing hands-on assistance when required while also allowing me the
independence necessary to develop as an academic. I hope that, during the four
years we have worked together, I have acquired just a fraction of his
formidable
mathematical intuition, keen attention to detail, boundless creativity, and
inimitable pedagogical skill. Alongside his role as my adviser,
Matias has been
above all a friend, who has been in equal measure inspiring,
formidable mathematical intuition, keen attention to detail, boundless
creativity, and inimitable pedagogical skill. Alongside his role as my adviser,
Matias has been above all a friend, who has been in equal measure inspiring,
insightful, dedicated, understanding, and kind.

Secondly, I would like to thank all of the faculty members at Princeton and
beyond who have acted as my collaborators and mentors, without whom none of my
work could have been realized. In particular, I express my gratitude to my
tireless Ph.D.\ committee members and letter writers Jianqing Fan and Jason
Klusowski, my coauthors Yingjie Feng and Ricardo Masini,
my dissertation reader
Boris Hanin, my teachers
Amir Ali Ahmadi, Ramon van Handel, Mikl{\'o}s R{\'a}cz, and Mykhaylo
Shkolnikov,
my colleagues Sanjeev Kulkarni and Roc{\'i}o Titiunik,
and my former supervisor Mihai Cucuringu.
I am also thankful for the staff members at Princeton who have been
perpetually helpful, and I would like to identify Kim
Klusowski, my coauthors Yingjie Feng and Ricardo Masini, my dissertation reader
Boris Hanin, my teachers Amir Ali Ahmadi, Ramon van Handel, Mikl{\'o}s
R{\'a}cz, and Mykhaylo Shkolnikov, my colleagues Sanjeev Kulkarni and Roc{\'i}o
Titiunik, and my former supervisor Mihai Cucuringu. I am also thankful for the
staff members at Princeton who have been perpetually helpful, and I would like
to identify Kim
Lupinacci in particular; her assistance in all things administrative has been
invaluable.

I am grateful to my fellow graduate students in the ORFE department for their
technical expertise and generosity with their time, and for making Sherrerd
Hall such a vibrant and exciting space, especially
Jose Avilez,
Pier Beneventano,
Ben Budway,
Rajita Chandak,
Abraar Chaudhry,
Stefan Clarke,
Giulia Crippa,
G{\"o}k{\c c}e Dayan{\i}kl{\i},
Nicolas Garcia,
Felix Hoefer,
Erica Lai,
Jackie Lok,
Maya Mutic,
Dan Rigobon,
Till Saenger,
Rajiv Sambharya,
Boris Shigida,
Igor Silin,
Giang Truong,
and Rae Yu.
Our
regular social events made a contribution to my well-being which is difficult
to overstate. My thanks extend also to the students I taught, as
well as to my group of senior thesis undergraduates, for their commitment,
patience, and responsiveness.

More broadly, I would like to thank all of my friends, near and far,
for their unfailing support and reliability, and for
helping to create so many of my treasured memories. In particular,
Ole Agersnap,
James Ashford,
Christian Baehr,
Chris Bambic,
Kevin Beeson,
James Broadhead,
Alex Cox,
Reece Edmends,
Robin Franklin,
Greg Henderson,
Bonnie Ko,
Grace Matthews,
Dan Mead,
Ben Musachio,
Jacob Neis,
Monika Papayova,
Will Pedrick,
Oliver Philcox,
Nandita Rao,
Alex Rice,
Edward Rowe,
David Snyder,
Titi Sodimu,
Nikitas Tampakis,
and Anita Zhang.
Thank you to the Princeton Chapel Choir for being such a wonderful
community of musicians and a source of close friends,
and to our directors, Nicole Aldrich and Penna Rose, and organist Eric Plutz.
Hall such a vibrant and exciting space, especially Jose Avilez, Pier
Beneventano, Ben Budway, Rajita Chandak, Abraar Chaudhry, Stefan Clarke, Giulia
Crippa, G{\"o}k{\c c}e Dayan{\i}kl{\i}, Nicolas Garcia, Felix Hoefer, Erica
Lai, Jackie Lok, Maya Mutic, Dan Rigobon, Till Saenger, Rajiv Sambharya, Boris
Shigida, Igor Silin, Giang Truong, and Rae Yu. Our regular social events made a
contribution to my well-being which is difficult to overstate. My thanks extend
also to the students I taught, as well as to my group of senior thesis
undergraduates, for their commitment, patience, and responsiveness.

More broadly, I would like to thank all of my friends, near and far, for their
unfailing support and reliability, and for helping to create so many of my
treasured memories. In particular, Ole Agersnap, James Ashford, Christian
Baehr, Chris Bambic, Kevin Beeson, James Broadhead, Alex Cox, Reece Edmends,
Robin Franklin, Greg Henderson, Bonnie Ko, Grace Matthews, Dan Mead, Ben
Musachio, Jacob Neis, Monika Papayova, Will Pedrick, Oliver Philcox, Nandita
Rao, Alex Rice, Edward Rowe, David Snyder, Titi Sodimu, Nikitas Tampakis, and
Anita Zhang. Thank you to the Princeton Chapel Choir for being such a wonderful
community of musicians and a source of close friends, and to our directors,
Nicole Aldrich and Penna Rose, and organist Eric Plutz.

Lastly, yet most importantly, I want to thank my family for their unwavering
support throughout my studies. My visits back home have been a source of joy
Expand Down
118 changes: 34 additions & 84 deletions tests/phd_dissertation_out.tex
Original file line number Diff line number Diff line change
Expand Up @@ -242,8 +242,7 @@
and nontraditional data.

We begin in the regression setting by studying the Mondrian random forest, a
variant in which the partitions are drawn from a Mondrian process.
We present a
variant in which the partitions are drawn from a Mondrian process. We present a
comprehensive analysis of the statistical properties of Mondrian random
forests, including a central limit theorem for the estimated regression
function and a characterization of the bias. We show how to conduct feasible
Expand All @@ -255,16 +254,14 @@
dependent dyadic network data. We present results for minimax-optimal
estimation, including a novel lower bound for the dyadic uniform convergence
rate, and develop methodology for uniform inference via confidence bands and
counterfactual analysis. Our methods are based on
strong approximations and are
counterfactual analysis. Our methods are based on strong approximations and are
designed to be adaptive to potential dyadic degeneracy. We give empirical
results with simulated and real-world economic trade data.

Finally, we develop some new probabilistic results with applications to
nonparametric statistics. Coupling has become a popular approach for
distributional analysis in recent years, and Yurinskii's method stands out for
its wide applicability and explicit formulation. We present a
generalization of
its wide applicability and explicit formulation. We present a generalization of
Yurinskii's coupling, treating approximate martingale data under weaker
conditions than previously imposed. We allow for Gaussian mixture coupling
distributions, and a third-order method permits faster rates in certain
Expand All @@ -275,10 +272,8 @@
}
\acknowledgments{

I am extremely fortunate to have been surrounded by many
truly wonderful people
over the course of my career, and without their support
this dissertation would
I am extremely fortunate to have been surrounded by many truly wonderful people
over the course of my career, and without their support this dissertation would
not have been possible. While it is impossible for me to identify every one of
them individually, I would like to mention a few names in particular to
recognize those who have been especially important to me during the last few
Expand All @@ -288,93 +283,48 @@
Matias Cattaneo. Working with Matias has been genuinely inspirational for me,
and I could not have asked for a more rewarding start to my journey as a
researcher. From the very beginning, he has guided me expertly through my
studies, providing hands-on assistance when required while also
allowing me the
studies, providing hands-on assistance when required while also allowing me the
independence necessary to develop as an academic. I hope that, during the four
years we have worked together, I have acquired just a fraction of his
formidable
mathematical intuition, keen attention to detail, boundless creativity, and
inimitable pedagogical skill. Alongside his role as my adviser,
Matias has been
above all a friend, who has been in equal measure inspiring,
formidable mathematical intuition, keen attention to detail, boundless
creativity, and inimitable pedagogical skill. Alongside his role as my adviser,
Matias has been above all a friend, who has been in equal measure inspiring,
insightful, dedicated, understanding, and kind.

Secondly, I would like to thank all of the faculty members at Princeton and
beyond who have acted as my collaborators and mentors, without whom none of my
work could have been realized. In particular, I express my gratitude to my
tireless Ph.D.\ committee members and letter writers Jianqing Fan and Jason
Klusowski, my coauthors Yingjie Feng and Ricardo Masini,
my dissertation reader
Boris Hanin, my teachers
Amir Ali Ahmadi, Ramon van Handel, Mikl{\'o}s R{\'a}cz, and Mykhaylo
Shkolnikov,
my colleagues Sanjeev Kulkarni and Roc{\'i}o Titiunik,
and my former supervisor Mihai Cucuringu.
I am also thankful for the staff members at Princeton who have been
perpetually helpful, and I would like to identify Kim
Klusowski, my coauthors Yingjie Feng and Ricardo Masini, my dissertation reader
Boris Hanin, my teachers Amir Ali Ahmadi, Ramon van Handel, Mikl{\'o}s
R{\'a}cz, and Mykhaylo Shkolnikov, my colleagues Sanjeev Kulkarni and Roc{\'i}o
Titiunik, and my former supervisor Mihai Cucuringu. I am also thankful for the
staff members at Princeton who have been perpetually helpful, and I would like
to identify Kim
Lupinacci in particular; her assistance in all things administrative has been
invaluable.

I am grateful to my fellow graduate students in the ORFE department for their
technical expertise and generosity with their time, and for making Sherrerd
Hall such a vibrant and exciting space, especially
Jose Avilez,
Pier Beneventano,
Ben Budway,
Rajita Chandak,
Abraar Chaudhry,
Stefan Clarke,
Giulia Crippa,
G{\"o}k{\c c}e Dayan{\i}kl{\i},
Nicolas Garcia,
Felix Hoefer,
Erica Lai,
Jackie Lok,
Maya Mutic,
Dan Rigobon,
Till Saenger,
Rajiv Sambharya,
Boris Shigida,
Igor Silin,
Giang Truong,
and Rae Yu.
Our
regular social events made a contribution to my well-being which is difficult
to overstate. My thanks extend also to the students I taught, as
well as to my group of senior thesis undergraduates, for their commitment,
patience, and responsiveness.

More broadly, I would like to thank all of my friends, near and far,
for their unfailing support and reliability, and for
helping to create so many of my treasured memories. In particular,
Ole Agersnap,
James Ashford,
Christian Baehr,
Chris Bambic,
Kevin Beeson,
James Broadhead,
Alex Cox,
Reece Edmends,
Robin Franklin,
Greg Henderson,
Bonnie Ko,
Grace Matthews,
Dan Mead,
Ben Musachio,
Jacob Neis,
Monika Papayova,
Will Pedrick,
Oliver Philcox,
Nandita Rao,
Alex Rice,
Edward Rowe,
David Snyder,
Titi Sodimu,
Nikitas Tampakis,
and Anita Zhang.
Thank you to the Princeton Chapel Choir for being such a wonderful
community of musicians and a source of close friends,
and to our directors, Nicole Aldrich and Penna Rose, and organist Eric Plutz.
Hall such a vibrant and exciting space, especially Jose Avilez, Pier
Beneventano, Ben Budway, Rajita Chandak, Abraar Chaudhry, Stefan Clarke, Giulia
Crippa, G{\"o}k{\c c}e Dayan{\i}kl{\i}, Nicolas Garcia, Felix Hoefer, Erica
Lai, Jackie Lok, Maya Mutic, Dan Rigobon, Till Saenger, Rajiv Sambharya, Boris
Shigida, Igor Silin, Giang Truong, and Rae Yu. Our regular social events made a
contribution to my well-being which is difficult to overstate. My thanks extend
also to the students I taught, as well as to my group of senior thesis
undergraduates, for their commitment, patience, and responsiveness.

More broadly, I would like to thank all of my friends, near and far, for their
unfailing support and reliability, and for helping to create so many of my
treasured memories. In particular, Ole Agersnap, James Ashford, Christian
Baehr, Chris Bambic, Kevin Beeson, James Broadhead, Alex Cox, Reece Edmends,
Robin Franklin, Greg Henderson, Bonnie Ko, Grace Matthews, Dan Mead, Ben
Musachio, Jacob Neis, Monika Papayova, Will Pedrick, Oliver Philcox, Nandita
Rao, Alex Rice, Edward Rowe, David Snyder, Titi Sodimu, Nikitas Tampakis, and
Anita Zhang. Thank you to the Princeton Chapel Choir for being such a wonderful
community of musicians and a source of close friends, and to our directors,
Nicole Aldrich and Penna Rose, and organist Eric Plutz.

Lastly, yet most importantly, I want to thank my family for their unwavering
support throughout my studies. My visits back home have been a source of joy
Expand Down

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