Anastasis Kratsios

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All published works

Action	Title	Year	Authors
+ PDF Chat	Neural Operators Can Play Dynamic Stackelberg Games	2024	Guillermo Alonso Alvarez Ibrahim Ekren Anastasis Kratsios Xuwei Yang
+ PDF Chat	Scalable Message Passing Neural Networks: No Need for Attention in Large Graph Representation Learning	2024	Haitz Sáez de Ocáriz Borde Artem Lukoianov Anastasis Kratsios Michael M. Bronstein Xiaowen Dong
+ PDF Chat	A Comprehensive Analysis on the Learning Curve in Kernel Ridge Regression	2024	Tin Sum Cheng Aurélien Lucchi Anastasis Kratsios David Belius
+ PDF Chat	Simultaneously Solving FBSDEs with Neural Operators of Logarithmic Depth, Constant Width, and Sub-Linear Rank	2024	Takashi Furuya Anastasis Kratsios
+ PDF Chat	Inverse Entropic Optimal Transport Solves Semi-supervised Learning via Data Likelihood Maximization	2024	Mikhail Persiianov Arip Asadulaev N. N. Andreev Nikita Starodubcev Dmitry Baranchuk Anastasis Kratsios Evgeny Burnaev Alexander Korotin
+ PDF Chat	Bridging the Gap Between Approximation and Learning via Optimal Approximation by ReLU MLPs of Maximal Regularity	2024	Ruiyang Hong Anastasis Kratsios
+ PDF Chat	Neural Spacetimes for DAG Representation Learning	2024	Haitz Sáez de Ocáriz Borde Anastasis Kratsios Marc T. Law Xiaowen Dong Michael M. Bronstein
+ PDF Chat	Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation	2024	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+ PDF Chat	Filtered not Mixed: Stochastic Filtering-Based Online Gating for Mixture of Large Language Models	2024	Raeid Saqur Anastasis Kratsios Florian Krach Yannick Limmer Jacob-Junqi Tian John Willes Blanka Horvath Frank Rudzicz
+ PDF Chat	Capacity bounds for hyperbolic neural network representations of latent tree structures	2024	Anastasis Kratsios Ruiyang Hong Haitz Sáez de Ocáriz Borde
+ PDF Chat	Low-dimensional approximations of the conditional law of Volterra processes: a non-positive curvature approach	2024	Reza Arabpour John Armstrong Luca Galimberti Anastasis Kratsios Giulia Livieri
+ PDF Chat	Reality Only Happens Once: Single-Path Generalization Bounds for Transformers	2024	Yannick Limmer Anastasis Kratsios Xuwei Yang Raeid Saqur Blanka Horvath
+ PDF Chat	Mixture of Experts Soften the Curse of Dimensionality in Operator Learning	2024	Anastasis Kratsios Takashi Furuya Jothi B Matti Lassas Maarten V. de Hoop
+ PDF Chat	Digital Computers Break the Curse of Dimensionality: Adaptive Bounds via Finite Geometry	2024	Anastasis Kratsios A. Martina Neuman Gudmund Pammer
+ PDF Chat	Breaking the Curse of Dimensionality with Distributed Neural Computation	2024	Haitz Sáez de Ocáriz Borde Takashi Furuya Anastasis Kratsios Marc T. Law
+ PDF Chat	Characterizing Overfitting in Kernel Ridgeless Regression Through the Eigenspectrum	2024	Tin Sum Cheng Aurélien Lucchi Anastasis Kratsios David Belius
+ PDF Chat	Filtered not Mixed: Stochastic Filtering-Based Online Gating for Mixture of Large Language Models	2024	Raeid Saqur Anastasis Kratsios Blanka Horvath Jacob-Junqi Tian John Willes Florian Krach Yannick Limmer Frank Rudzicz
+ PDF Chat	Designing universal causal deep learning models: The geometric (Hyper)transformer	2023	Beatrice Acciaio Anastasis Kratsios Gudmund Pammer
+	Generative Ornstein-Uhlenbeck Markets via Geometric Deep Learning	2023	Anastasis Kratsios Cody Hyndman
+	An Approximation Theory for Metric Space-Valued Functions With A View Towards Deep Learning	2023	Anastasis Kratsios Chong Liu Matti Lassas Maarten V. de Hoop Ivan Dokmanić
+	Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+ PDF Chat	Generative OrnsteinUhlenbeck Markets via Geometric Deep Learning	2023	Anastasis Kratsios Cody Hyndman
+	Out-of-Distributional Risk Bounds for Neural Operators with Applications to Thehelmholtz Equation	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+	Capacity Bounds for Hyperbolic Neural Network Representations of Latent Tree Structures	2023	Anastasis Kratsios Ruiyang Hong Haitz Sáez de Ocáriz Borde
+	Regret-Optimal Federated Transfer Learning for Kernel Regression with Applications in American Option Pricing	2023	Xuwei Yang Anastasis Kratsios Florian Krach Matheus R. Grasselli Aurélien Lucchi
+	A Theoretical Analysis of the Test Error of Finite-Rank Kernel Ridge Regression	2023	Tin Sum Cheng Aurélien Lucchi Ivan Dokmanić Anastasis Kratsios David Belius
+	Neural Snowflakes: Universal Latent Graph Inference via Trainable Latent Geometries	2023	Haitz Sáez de Ocáriz Borde Anastasis Kratsios
+	Deep Kalman Filters Can Filter	2023	Blanka Hovart Anastasis Kratsios Yannick Limmer Xuwei Yang
+	Learning sub-patterns in piecewise continuous functions	2022	Anastasis Kratsios Behnoosh Zamanlooy
+	Designing Universal Causal Deep Learning Models: The Geometric (Hyper)Transformer	2022	Beatrice Acciaio Anastasis Kratsios Gudmund Pammer
+	Do ReLU Networks Have An Edge When Approximating Compactly-Supported Functions?	2022	Anastasis Kratsios Behnoosh Zamanlooy
+	Small Transformers Compute Universal Metric Embeddings	2022	Anastasis Kratsios Valentin Debarnot Ivan Dokmanić
+	Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis	2022	Luca Galimberti Giulia Livieri Anastasis Kratsios
+	Instance-Dependent Generalization Bounds via Optimal Transport	2022	Songyan Hou Parnian Kassraie Anastasis Kratsios Jonas Rothfuss Andreas Krause
+	Universal Approximation Under Constraints is Possible with Transformers.	2021	Anastasis Kratsios Behnoosh Zamanlooy Tianlin Liu Ivan Dokmanić
+	Optimizing Optimizers: Regret-optimal gradient descent algorithms	2021	Philippe Casgrain Anastasis Kratsios
+	Universal Regular Conditional Distributions via Probability Measure-Valued Deep Neural Models.	2021	Anastasis Kratsios
+	Universal Regular Conditional Distributions	2021	Anastasis Kratsios
+ PDF Chat	Lower-Estimates on the Hochschild (Co)Homological Dimension of Commutative Algebras and Applications to Smooth Affine Schemes and Quasi-Free Algebras	2021	Anastasis Kratsios
+ PDF Chat	The Universal Approximation Property	2021	Anastasis Kratsios
+	Quantitative Rates and Fundamental Obstructions to Non-Euclidean Universal Approximation with Deep Narrow Feed-Forward Networks.	2021	Anastasis Kratsios Leonie Papon
+	Universal Approximation Theorems for Differentiable Geometric Deep Learning	2021	Anastasis Kratsios Leonie Papon
+	Universal Regular Conditional Distributions	2021	Anastasis Kratsios
+	Universal Approximation Under Constraints is Possible with Transformers	2021	Anastasis Kratsios Behnoosh Zamanlooy Tianlin Liu Ivan Dokmanić
+	Universal Approximation Theorems for Differentiable Geometric Deep Learning	2021	Anastasis Kratsios Leonie Papon
+	Optimizing Optimizers: Regret-optimal gradient descent algorithms	2021	Philippe Casgrain Anastasis Kratsios
+	Overcoming The Limitations of Neural Networks in Composite-Pattern Learning with Architopes.	2020	Anastasis Kratsios Behnoosh Zamanlooy
+	Learning Sub-Patterns in Piecewise Continuous Functions	2020	Anastasis Kratsios Behnoosh Zamanlooy
+	Architopes: An Architecture Modification for Composite Pattern Learning, Increased Expressiveness, and Reduced Training Time.	2020	Anastasis Kratsios Behnoosh Zamanlooy
+	Non-Euclidean Universal Approximation	2020	Anastasis Kratsios Ievgen Bilokopytov
+	Denise: Deep Robust Principal Component Analysis for Positive Semidefinite Matrices	2020	Calypso Herrera Florian Krach Anastasis Kratsios Pierre Ruyssen Josef Teichmann
+ PDF Chat	Deep Arbitrage-Free Learning in a Generalized HJM Framework via Arbitrage-Regularization	2020	Anastasis Kratsios Cody Hyndman
+	Deep Arbitrage-Free Learning in a Generalized HJM Framework via Arbitrage-Regularization	2020	Anastasis Kratsios Cody Hyndman
+ PDF Chat	The entropic measure transform	2020	Renjie Wang Cody Hyndman Anastasis Kratsios
+	Non-Euclidean Universal Approximation	2020	Anastasis Kratsios Eugene Bilokopytov
+	Learning Sub-Patterns in Piecewise Continuous Functions	2020	Anastasis Kratsios Behnoosh Zamanlooy
+	A Canonical Transform for Strengthening the Local $L^p$-Type Universal Approximation Property	2020	Anastasis Kratsios Behnoosh Zamanlooy
+	Denise: Deep Robust Principal Component Analysis for Positive Semidefinite Matrices	2020	Calypso Herrera Florian Krach Anastasis Kratsios Pierre Ruyssen Josef Teichmann
+	Characterizing the Universal Approximation Property	2019	Anastasis Kratsios
+	The Universal Approximation Property: Characterizations, Existence, and a Canonical Topology for Deep-Learning	2019	Anastasis Kratsios
+	Partial Uncertainty and Applications to Risk-Averse Valuation	2019	Anastasis Kratsios
+	The NEU Meta-Algorithm for Geometric Learning with Applications in Finance.	2018	Anastasis Kratsios Cody Hyndman
+	NEU Meta-Learning and its Universal Approximation Properties	2018	Anastasis Kratsios Cody Hyndman
+	Arbitrage-free regularization, geometric learning, and non-Euclidean filtering in finance	2018	Anastasis Kratsios
+	NEU: A Meta-Algorithm for Universal UAP-Invariant Feature Representation	2018	Anastasis Kratsios Cody Hyndman
+	Optimal Stochastic Decensoring and Applications to Calibration of Market Models	2017	Anastasis Kratsios
+	Geometric Learning and Filtering in Finance	2017	Anastasis Kratsios Cody Hyndman
+	Non-Euclidean Conditional Expectation and Filtering	2017	Anastasis Kratsios Cody Hyndman
+	Arbitrage-Free Regularization	2017	Anastasis Kratsios Cody Hyndman
+	Geometric Learning and Filtering in Finance	2017	Anastasis Kratsios Cody Hyndman
+	Non-Euclidean Conditional Expectation and Filtering	2017	Anastasis Kratsios Cody Hyndman
+	Optimal Stochastic Decensoring and Applications to Calibration of Market Models	2017	Anastasis Kratsios
+	Non-Euclidean Conditional Expectation and Filtering	2017	Anastasis Kratsios Cody Hyndman
+	Bounding The Hochschild Cohomological Dimension Of Commutative k-algebras With Finite Flat-dimension Over k	2016	Anastasis Kratsios
+	A Lower-Bound on the Hochschild Cohomological Dimension	2016	Anastasis Kratsios
+	Bounding The Lower-Bound on the Hochschild Cohomological Dimension	2016	Anastasis Kratsios
+	The Entropic Measure Transform	2015	Renjie Wang Cody Hyndman Anastasis Kratsios
+	Bounding The Hochschild Cohomological Dimension	2015	Anastasis Kratsios
+	The Entropic Measure Transform	2015	Renjie Wang Cody Hyndman Anastasis Kratsios
+	Hochschild dimension is not semi-continous	2014	Anastasis Kratsios
+	Essentials of Non-commutative Geometry	2014	Anastasis Kratsios
+	Adjoinable Homology	2014	Anastasis Kratsios
+	Noncommutative Algebra and Noncommutative Geometry	2014	Anastasis Kratsios
+	Hochschild Cohomological Dimension is Not Upper Semi-Continuous	2014	Anastasis Kratsios
+	Adjoinable Homology	2014	Anastasis Kratsios

Common Coauthors

Coauthor	Papers Together
Cody Hyndman	16
Behnoosh Zamanlooy	9
Takashi Furuya	6
Haitz Sáez de Ocáriz Borde	6
Ivan Dokmanić	5
Maarten V. de Hoop	5
Yannick Limmer	4
Aurélien Lucchi	4
Ruiyang Hong	3
Florian Krach	3
Leonie Papon	3
David Belius	3
Blanka Horvath	3
Jose Antonio Lara Benitez	3
Renjie Wang	3
Raeid Saqur	3
Gudmund Pammer	3
Xavier Tricoche	3
Tin Sum Cheng	3
Florian Faucher	3
Beatrice Acciaio	2
Michael M. Bronstein	2
Pierre Ruyssen	2
Xuwei Yang	2
Marc T. Law	2
Florian Krach	2
Matti Lassas	2
Philippe Casgrain	2
Frank Rudzicz	2
Giulia Livieri	2
Luca Galimberti	2
Josef Teichmann	2
Calypso Herrera	2
John Willes	2
Xiaowen Dong	2
Xuwei Yang	2
Jacob-Junqi Tian	2
Ievgen Bilokopytov	1
Eugene Bilokopytov	1
Songyan Hou	1
N. N. Andreev	1
Artem Lukoianov	1
Jothi B	1
Guillermo Alonso Alvarez	1
Ibrahim Ekren	1
Jonas Rothfuss	1
Evgeny Burnaev	1
Mikhail Persiianov	1
Reza Arabpour	1
Chong Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Riemannian Geometry and Geometric Analysis	1998	Jürgen Jost	7
+	A relation between Hochschild homology and cohomology for Gorenstein rings	1998	Michel Van den Bergh	7
+	Non-Euclidean Universal Approximation	2020	Anastasis Kratsios Ievgen Bilokopytov	6
+	Approximation rates for neural networks with general activation functions	2020	Jonathan W. Siegel Jinchao Xu	6
+	Geodesic Regression and the Theory of Least Squares on Riemannian Manifolds	2012	P. Thomas Fletcher	6
+ PDF Chat	Approximation Spaces of Deep Neural Networks	2021	Rémi Gribonval Gitta Kutyniok Morten Nielsen Felix Voigtlaender	5
+	Regression Shrinkage and Selection Via the Lasso	1996	Robert Tibshirani	5
+ PDF Chat	Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification	2015	Kaiming He Xiangyu Zhang Shaoqing Ren Jian Sun	5
+	On the continuity of the inverses of strictly monotonic functions	2015	H. Hoffmann	5
+ PDF Chat	Algebra extensions and nonsingularity	1995	Joachim Cuntz Daniel Quillen	5
+	A random matrix approach to neural networks	2018	Cosme Louart Zhenyu Liao Romain Couillet	5
+ PDF Chat	Linear extension operators between spaces of Lipschitz maps and optimal transport	2019	Luigi Ambrosio Daniele Puglisi	4
+ PDF Chat	Efficient Approximation of High-Dimensional Functions With Neural Networks	2021	Patrick Cheridito Arnulf Jentzen Florian Rossmannek	3
+	Algebraic topology	2001	Allen Hatcher	3
+ PDF Chat	Deep Arbitrage-Free Learning in a Generalized HJM Framework via Arbitrage-Regularization	2020	Anastasis Kratsios Cody Hyndman	3
+ PDF Chat	A note on generalized inverses	2013	Paul Embrechts Marius Hofert	3
+ PDF Chat	On embedding uniform and topological spaces	1956	Richard Arens James Eells	3
+ PDF Chat	Stochastic Gradient Descent on Riemannian Manifolds	2013	Silvère Bonnabel	3
+	Multivariate Normal Distributions Parametrized as a Riemannian Symmetric Space	2000	Miroslav Lovrić Maung Min-Oo Ernst A. Ruh	3
+ PDF Chat	Linear Lipschitz and C1 extension operators through random projection	2020	Elia Bruè Simone Di Marino Federico Stra	3
+	Globally Injective ReLU Networks	2020	Michael Puthawala Konik Kothari Matti Lassas Ivan Dokmanić Maarten V. de Hoop	3
+	Hyperbolic Neural Networks++	2020	Ryohei Shimizu Yusuke Mukuta Tatsuya Harada	3
+	An Introduction to Homological Algebra	2008	Joseph Rotman	3
+	Regression on fixed-rank positive semidefinite matrices: a Riemannian approach	2010	Gilles Meyer Silvère Bonnabel Rodolphe Sepulchre	3
+ PDF Chat	A Generative Adversarial Network Approach to Calibration of Local Stochastic Volatility Models	2020	Christa Cuchiero Wahid Khosrawi Josef Teichmann	3
+	Universality of deep convolutional neural networks	2019	Ding‐Xuan Zhou	3
+	Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges	2021	Michael M. Bronstein Joan Bruna Taco Cohen Petar Veličković	3
+	Wasserstein Riemannian geometry of Gaussian densities	2018	Luigi Malagò Luigi Montrucchio Giovanni Pistone	3
+ PDF Chat	Error bounds for approximations with deep ReLU networks	2017	Dmitry Yarotsky	3
+ PDF Chat	Error bounds for approximations with deep ReLU neural networks in Ws,p norms	2019	Ingo Gühring Gitta Kutyniok Philipp Petersen	3
+	Universal Kernels	2006	Charles A. Micchelli Yuesheng Xu Haizhang Zhang	3
+ PDF Chat	A Riemannian Framework for Tensor Computing	2005	Xavier Pennec Pierre Fillard Nicholas Ayache	3
+	Manopt, a Matlab toolbox for optimization on manifolds	2013	Nicolas Boumal Bamdev Mishra Pierre-Antoine Absil Rodolphe Sepulchre	3
+	Affine and polynomial processes	2011	Christa Cuchiero	3
+ PDF Chat	Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank	2009	Silvère Bonnabel Rodolphe Sepulchre	3
+ PDF Chat	Topologies for function spaces	1951	Richard Arens J. Dugundji	3
+	On the Cohomology Groups of an Associative Algebra	1945	G. Hochschild	3
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	2
+ PDF Chat	Extension of range of functions	1934	E. J. McShane	2
+ PDF Chat	Exponential-Polynomial Families and the Term Structure of Interest Rates	2000	Damir Filipović Damir Filipović	2
+	Exact finite-dimensional filters for certain diffusions with nonlinear drift	1981	Vladimír Beneš	2
+ PDF Chat	Large sample theory of intrinsic and extrinsic sample means on manifolds	2003	Rabi Bhattacharya Vic Patrangenaru	2
+	Excision in Cyclic Homology and in Rational Algebraic K-theory	1989	Mariusz Wodzicki	2
+ PDF Chat	Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces	1984	David G. Kendall	2
+ PDF Chat	Martingales on Manifolds with Time-Dependent Connection	2014	Hongxin Guo Robert Philipowski Anton Thalmaier	2
+ PDF Chat	A note on arbitrage, approximate arbitrage and the fundamental theorem of asset pricing	2014	Claudio Fontana	2
+ PDF Chat	Weighted spaces of vector-valued continuous functions	1971	João B. Prolla	2
+	Convex Analysis and Monotone Operator Theory in Hilbert Spaces	2017	Heinz H. Bauschke Patrick L. Combettes	2
+ PDF Chat	Non-commutative differential geometry	1985	Alain Connes	2
+	Proof of the topological equivalence of all separable infinite-dimensional Banach spaces	1967	M. I. Kadet︠s︡	2