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Moments and Absolute Moments of the Normal Distribution
v1v2 (latest)

Moments and Absolute Moments of the Normal Distribution

19 September 2012
Andreas Winkelbauer
ArXiv (abs)PDFHTML

Papers citing "Moments and Absolute Moments of the Normal Distribution"

48 / 48 papers shown
Uncertainty Quantification for Regression: A Unified Framework based on kernel scores
Uncertainty Quantification for Regression: A Unified Framework based on kernel scores
Christopher Bülte
Yusuf Sale
Gitta Kutyniok
Eyke Hüllermeier
UQCV
313
0
0
29 Oct 2025
Zero-Variance Gradients for Variational Autoencoders
Zero-Variance Gradients for Variational Autoencoders
Zilei Shao
Anji Liu
Karen Ullrich
DRL
212
1
0
05 Aug 2025
On the necessity of adaptive regularisation:Optimal anytime online learning on $\boldsymbol{\ell_p}$-balls
On the necessity of adaptive regularisation:Optimal anytime online learning on ℓp\boldsymbol{\ell_p}ℓp​-balls
Emmeran Johnson
David Martínez-Rubio
Ciara Pike-Burke
Patrick Rebeschini
271
0
0
24 Jun 2025
The Dodecacopter: a Versatile Multirotor System of Dodecahedron-Shaped Modules
The Dodecacopter: a Versatile Multirotor System of Dodecahedron-Shaped Modules
Kévin Garanger
Thanakorn Khamvilai
Jeremy T. Epps
E. Feron
191
3
0
23 Apr 2025
You Cannot Feed Two Birds with One Score: the Accuracy-Naturalness Tradeoff in Translation
You Cannot Feed Two Birds with One Score: the Accuracy-Naturalness Tradeoff in Translation
Gergely Flamich
David Vilar
Jan-Thorsten Peter
Markus Freitag
444
4
0
31 Mar 2025
Scoring rule nets: beyond mean target prediction in multivariate
  regression
Scoring rule nets: beyond mean target prediction in multivariate regression
Daan Roordink
Sibylle Hess
209
0
0
22 Sep 2024
Variance reduction of diffusion model's gradients with Taylor
  approximation-based control variate
Variance reduction of diffusion model's gradients with Taylor approximation-based control variate
Paul Jeha
Will Grathwohl
Michael Riis Andersen
Carl Henrik Ek
J. Frellsen
DiffM
375
6
0
22 Aug 2024
Proper Scoring Rules for Multivariate Probabilistic Forecasts based on
  Aggregation and Transformation
Proper Scoring Rules for Multivariate Probabilistic Forecasts based on Aggregation and Transformation
Romain Pic
Clément Dombry
Philippe Naveau
Maxime Taillardat
AI4TS
323
8
0
30 Jun 2024
Towards Exact Gradient-based Training on Analog In-memory Computing
Towards Exact Gradient-based Training on Analog In-memory ComputingNeural Information Processing Systems (NeurIPS), 2024
Zhaoxian Wu
Tayfun Gokmen
Malte J. Rasch
Tianyi Chen
415
7
0
18 Jun 2024
Gaussian-Smoothed Sliced Probability Divergences
Gaussian-Smoothed Sliced Probability Divergences
Mokhtar Z. Alaya
A. Rakotomamonjy
Maxime Bérar
Gilles Gasso
224
0
0
04 Apr 2024
Compression of Structured Data with Autoencoders: Provable Benefit of
  Nonlinearities and Depth
Compression of Structured Data with Autoencoders: Provable Benefit of Nonlinearities and Depth
Kevin Kögler
Aleksandr Shevchenko
Hamed Hassani
Marco Mondelli
MLT
316
2
0
07 Feb 2024
Wasserstein Differential Privacy
Wasserstein Differential PrivacyAAAI Conference on Artificial Intelligence (AAAI), 2024
Chengyi Yang
Jiayin Qi
Aimin Zhou
289
4
0
23 Jan 2024
Drift Control of High-Dimensional RBM: A Computational Method Based on
  Neural Networks
Drift Control of High-Dimensional RBM: A Computational Method Based on Neural Networks
B. Ata
J. M. Harrison
Nian Si
191
4
0
20 Sep 2023
PLAN: Variance-Aware Private Mean Estimation
PLAN: Variance-Aware Private Mean EstimationProceedings on Privacy Enhancing Technologies (PoPETs), 2023
Martin Aumüller
C. Lebeda
Boel Nelson
Rasmus Pagh
FedML
304
6
0
14 Jun 2023
The envelope of a complex Gaussian random variable
The envelope of a complex Gaussian random variable
Sattwik Ghosal
R. Maitra
CoGe
76
0
0
04 May 2023
Tight Non-asymptotic Inference via Sub-Gaussian Intrinsic Moment Norm
Tight Non-asymptotic Inference via Sub-Gaussian Intrinsic Moment Norm
Huiming Zhang
Haoyu Wei
Guang Cheng
307
1
0
13 Mar 2023
Best Arm Identification in Stochastic Bandits: Beyond $β-$optimality
Best Arm Identification in Stochastic Bandits: Beyond β−β-β−optimalityIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2023
Arpan Mukherjee
A. Tajer
308
4
0
10 Jan 2023
Sparse Signal Detection in Heteroscedastic Gaussian Sequence Models:
  Sharp Minimax Rates
Sparse Signal Detection in Heteroscedastic Gaussian Sequence Models: Sharp Minimax Rates
J. Chhor
Rajarshi Mukherjee
Subhabrata Sen
409
6
0
15 Nov 2022
Inter-order relations between moments of a Student $t$ distribution,
  with an application to $L_p$-quantiles
Inter-order relations between moments of a Student ttt distribution, with an application to LpL_pLp​-quantiles
V. Bignozzi
Luca Merlo
L. Petrella
132
0
0
26 Sep 2022
Deterministic Decoupling of Global Features and its Application to Data
  Analysis
Deterministic Decoupling of Global Features and its Application to Data Analysis
Eduardo Martínez-Enríquez
M. González
J. Portilla
31
1
0
05 Jul 2022
A Note on the Convergence of Mirrored Stein Variational Gradient Descent
  under $(L_0,L_1)-$Smoothness Condition
A Note on the Convergence of Mirrored Stein Variational Gradient Descent under (L0,L1)−(L_0,L_1)-(L0​,L1​)−Smoothness Condition
Lukang Sun
Peter Richtárik
264
5
0
20 Jun 2022
Convergence of Stein Variational Gradient Descent under a Weaker
  Smoothness Condition
Convergence of Stein Variational Gradient Descent under a Weaker Smoothness ConditionInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2022
Lukang Sun
Avetik G. Karagulyan
Peter Richtárik
211
21
0
01 Jun 2022
Extreme value theory for a sequence of suprema of a class of Gaussian
  processes with trend
Extreme value theory for a sequence of suprema of a class of Gaussian processes with trendStochastic Processes and their Applications (SPA), 2022
L. Ji
Xiaofan Peng
69
1
0
30 Mar 2022
An initial alignment between neural network and target is needed for
  gradient descent to learn
An initial alignment between neural network and target is needed for gradient descent to learnInternational Conference on Machine Learning (ICML), 2022
Emmanuel Abbe
Elisabetta Cornacchia
Jan Hązła
Christopher Marquis
378
16
0
25 Feb 2022
High-dimensional logistic entropy clustering
High-dimensional logistic entropy clustering
Edouard Genetay
Adrien Saumard
Rémi Coulaud
177
0
0
16 Dec 2021
On some properties of the bimodal normal distribution and its bivariate
  version
On some properties of the bimodal normal distribution and its bivariate version
Roberto Vila
H. Saulo
Jamer Roldan
65
4
0
31 May 2021
Asymptotic Theory of $\ell_1$-Regularized PDE Identification from a
  Single Noisy Trajectory
Asymptotic Theory of ℓ1\ell_1ℓ1​-Regularized PDE Identification from a Single Noisy Trajectory
Yuchen He
Namjoon Suh
X. Huo
Sungha Kang
Y. Mei
362
1
0
12 Mar 2021
FedPower: Privacy-Preserving Distributed Eigenspace Estimation
FedPower: Privacy-Preserving Distributed Eigenspace EstimationMachine-mediated learning (ML), 2021
Xiaoxun Guo
Xiang Li
Xiangyu Chang
Shusen Wang
Zhihua Zhang
FedML
294
8
0
01 Mar 2021
Feedback Coding for Active Learning
Feedback Coding for Active LearningInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Gregory H. Canal
Matthieu R. Bloch
Christopher Rozell
198
1
0
28 Feb 2021
Sparse online variational Bayesian regression
Sparse online variational Bayesian regression
K. Law
Vitaly Zankin
238
7
0
24 Feb 2021
On Gaussian Approximation for M-Estimator
On Gaussian Approximation for M-Estimator
Masaaki Imaizumi
Taisuke Otsu
341
3
0
31 Dec 2020
Manifold learning with arbitrary norms
Manifold learning with arbitrary normsJournal of Fourier Analysis and Applications (JFAA), 2020
Joe Kileel
Amit Moscovich
Nathan Zelesko
A. Singer
469
29
0
28 Dec 2020
PAC-Bayes unleashed: generalisation bounds with unbounded losses
PAC-Bayes unleashed: generalisation bounds with unbounded lossesEntropy (Entropy), 2020
Maxime Haddouche
Benjamin Guedj
Omar Rivasplata
John Shawe-Taylor
278
70
0
12 Jun 2020
Tangent Space Sensitivity and Distribution of Linear Regions in ReLU
  Networks
Tangent Space Sensitivity and Distribution of Linear Regions in ReLU Networks
Balint Daroczy
AAML
116
0
0
11 Jun 2020
Moments of Student's t-distribution: A Unified Approach
Moments of Student's t-distribution: A Unified ApproachSocial Science Research Network (SSRN), 2019
J. Kirkby
Dang Nguyen
D. Nguyen
78
15
0
03 Dec 2019
Shrinkage with shrunken shoulders: Gibbs sampling shrinkage model
  posteriors with guaranteed convergence rates
Shrinkage with shrunken shoulders: Gibbs sampling shrinkage model posteriors with guaranteed convergence ratesBayesian Analysis (BA), 2019
A. Nishimura
M. Suchard
320
10
0
06 Nov 2019
Mean Dimension of Ridge Functions
Mean Dimension of Ridge Functions
Christopher R. Hoyt
Art B. Owen
95
5
0
01 Jul 2019
First Exit Time Analysis of Stochastic Gradient Descent Under
  Heavy-Tailed Gradient Noise
First Exit Time Analysis of Stochastic Gradient Descent Under Heavy-Tailed Gradient NoiseNeural Information Processing Systems (NeurIPS), 2019
T. H. Nguyen
Umut Simsekli
Mert Gurbuzbalaban
G. Richard
308
76
0
21 Jun 2019
Parametric Scenario Optimization under Limited Data: A Distributionally
  Robust Optimization View
Parametric Scenario Optimization under Limited Data: A Distributionally Robust Optimization View
Henry Lam
Fengpei Li
156
0
0
25 Apr 2019
Depth Separations in Neural Networks: What is Actually Being Separated?
Depth Separations in Neural Networks: What is Actually Being Separated?
Itay Safran
Ronen Eldan
Ohad Shamir
MDE
290
41
0
15 Apr 2019
A New Perspective on Machine Learning: How to do Perfect Supervised
  Learning
A New Perspective on Machine Learning: How to do Perfect Supervised Learning
Hui Jiang
SSLFaML
130
5
0
07 Jan 2019
Utility-Optimized Local Differential Privacy Mechanisms for Distribution
  Estimation
Utility-Optimized Local Differential Privacy Mechanisms for Distribution Estimation
Takao Murakami
Yusuke Kawamoto
619
111
0
30 Jul 2018
Geometric Methods for Robust Data Analysis in High Dimension
Geometric Methods for Robust Data Analysis in High Dimension
Joseph Anderson
187
0
0
25 May 2017
Minimax Euclidean Separation Rates for Testing Convex Hypotheses in
  $\mathbb{R}^d$
Minimax Euclidean Separation Rates for Testing Convex Hypotheses in Rd\mathbb{R}^dRd
Gilles Blanchard
Alexandra Carpentier
Maurilio Gutzeit
240
5
0
13 Feb 2017
A series of maximum entropy upper bounds of the differential entropy
A series of maximum entropy upper bounds of the differential entropy
Frank Nielsen
Richard Nock
63
4
0
09 Dec 2016
Multivariate normal approximation of the maximum likelihood estimator
  via the delta method
Multivariate normal approximation of the maximum likelihood estimator via the delta method
Andreas Anastasiou
Robert E. Gaunt
156
14
0
13 Sep 2016
Multi-class SVMs: From Tighter Data-Dependent Generalization Bounds to
  Novel Algorithms
Multi-class SVMs: From Tighter Data-Dependent Generalization Bounds to Novel AlgorithmsNeural Information Processing Systems (NeurIPS), 2015
Yunwen Lei
Ürün Dogan
Alexander Binder
Matthias Kirchler
239
58
0
14 Jun 2015
The More, the Merrier: the Blessing of Dimensionality for Learning Large
  Gaussian Mixtures
The More, the Merrier: the Blessing of Dimensionality for Learning Large Gaussian MixturesAnnual Conference Computational Learning Theory (COLT), 2013
Joseph Anderson
M. Belkin
Navin Goyal
Luis Rademacher
James R. Voss
456
97
0
12 Nov 2013
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