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Near-Optimal Sample Complexity Bounds for Maximum Likelihood Estimation
  of Multivariate Log-concave Densities
v1v2 (latest)

Near-Optimal Sample Complexity Bounds for Maximum Likelihood Estimation of Multivariate Log-concave Densities

28 February 2018
Timothy Carpenter
Ilias Diakonikolas
Anastasios Sidiropoulos
Alistair Stewart
ArXiv (abs)PDFHTML

Papers citing "Near-Optimal Sample Complexity Bounds for Maximum Likelihood Estimation of Multivariate Log-concave Densities"

17 / 17 papers shown
Title
Log-concave Density Estimation with Independent Components
Log-concave Density Estimation with Independent Components
Sharvaj Kubal
Christian Campbell
Elina Robeva
44
0
0
03 Jan 2024
Anytime valid and asymptotically optimal statistical inference driven by
  predictive recursion
Anytime valid and asymptotically optimal statistical inference driven by predictive recursion
Vaidehi Dixit
Ryan Martin
66
2
0
23 Sep 2023
On the Variance, Admissibility, and Stability of Empirical Risk
  Minimization
On the Variance, Admissibility, and Stability of Empirical Risk Minimization
Gil Kur
E. Putterman
Alexander Rakhlin
57
3
0
29 May 2023
A Sequential Test for Log-Concavity
A Sequential Test for Log-Concavity
Aditya Gangrade
Alessandro Rinaldo
Aaditya Ramdas
55
12
0
09 Jan 2023
Efficient Minimax Optimal Estimators For Multivariate Convex Regression
Efficient Minimax Optimal Estimators For Multivariate Convex Regression
Gil Kur
E. Putterman
54
0
0
06 May 2022
A new computational framework for log-concave density estimation
A new computational framework for log-concave density estimation
Wenyu Chen
Rahul Mazumder
R. Samworth
51
5
0
24 May 2021
On Suboptimality of Least Squares with Application to Estimation of
  Convex Bodies
On Suboptimality of Least Squares with Application to Estimation of Convex Bodies
Gil Kur
Alexander Rakhlin
Adityanand Guntuboyina
49
12
0
07 Jun 2020
Exact Solutions in Log-Concave Maximum Likelihood Estimation
Exact Solutions in Log-Concave Maximum Likelihood Estimation
Alexandros Grosdos
Alexander Heaton
Kaie Kubjas
Olga Kuznetsova
Georgy Scholten
Miruna-Stefana Sorea
70
3
0
10 Mar 2020
Least Squares Estimation of a Quasiconvex Regression Function
Least Squares Estimation of a Quasiconvex Regression Function
Somabha Mukherjee
Rohit Patra
Andrew L. Johnson
Hiroshi Morita
114
3
0
09 Mar 2020
Local continuity of log-concave projection, with applications to
  estimation under model misspecification
Local continuity of log-concave projection, with applications to estimation under model misspecification
Rina Foygel Barber
R. Samworth
80
6
0
14 Feb 2020
A Polynomial Time Algorithm for Log-Concave Maximum Likelihood via
  Locally Exponential Families
A Polynomial Time Algorithm for Log-Concave Maximum Likelihood via Locally Exponential Families
Brian Axelrod
Ilias Diakonikolas
Anastasios Sidiropoulos
Alistair Stewart
Gregory Valiant
86
9
0
18 Jul 2019
Set structured global empirical risk minimizers are rate optimal in
  general dimensions
Set structured global empirical risk minimizers are rate optimal in general dimensions
Q. Han
67
20
0
30 May 2019
High-dimensional nonparametric density estimation via symmetry and shape
  constraints
High-dimensional nonparametric density estimation via symmetry and shape constraints
Min Xu
R. Samworth
52
15
0
14 Mar 2019
Optimality of Maximum Likelihood for Log-Concave Density Estimation and
  Bounded Convex Regression
Optimality of Maximum Likelihood for Log-Concave Density Estimation and Bounded Convex Regression
Gil Kur
Y. Dagan
Alexander Rakhlin
73
25
0
13 Mar 2019
Adaptation in multivariate log-concave density estimation
Adaptation in multivariate log-concave density estimation
Oliver Y. Feng
Adityanand Guntuboyina
Arlene K. H. Kim
R. Samworth
85
13
0
30 Dec 2018
Density estimation for shift-invariant multidimensional distributions
Density estimation for shift-invariant multidimensional distributions
Jonathan Levy
M. J. van der Laan
Rocco A. Servedio
OOD
67
5
0
09 Nov 2018
An Efficient Algorithm for High-Dimensional Log-Concave Maximum
  Likelihood
An Efficient Algorithm for High-Dimensional Log-Concave Maximum Likelihood
Brian Axelrod
Gregory Valiant
49
4
0
08 Nov 2018
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