Ben Krause

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All published works

Action	Title	Year	Authors
+ PDF Chat	Pointwise convergence of bilinear polynomial averages over the primes	2024	Ben Krause Hamed Mousavi Terence Tao Joni Teräväinen
+ PDF Chat	AutoGRAMS: Autonomous Graphical Agent Modeling Software	2024	Ben Krause Lucia Chen Emmanuel Kahembwe
+	Exposé Bourbaki 1199 : Pointwise Ergodic Theory: Examples and Entropy [after Jean Bourgain]	2024	Ben Krause
+	Polynomial progressions in topological fields	2024	Ben Krause Mariusz Mirek Sarah Peluse James Wright
+ PDF Chat	Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ℓ bounds for p > 1	2023	Ben Krause Joris Roos
+	An application to discrete Ramsey theory	2023	Ben Krause
+	Maximally modulated singular integrals: A theorem of Stein and Wainger	2023	Ben Krause
+	Monomial “Carleson” operators	2023	Ben Krause
+	The spherical maximal function	2023	Ben Krause
+	Random pointwise ergodic theory	2023	Ben Krause
+	Arithmetic Sobolev estimates, examples	2023	Ben Krause
+	Pointwise Ergodic Theory: Examples and Entropy	2023	Ben Krause
+	XGen-7B Technical Report	2023	Erik Nijkamp Tian Xie Hiroaki Hayashi Bo Pang Congying Xia Xing Chen Jesse Vig Semih Yavuz Philippe Laban Ben Krause
+	Averages over the Gaussian Primes: Goldbach's Conjecture and Improving Estimates	2023	Christina Giannitsi Ben Krause Michael T. Lacey Hamed Mousavi Yaghoub Rahimi
+ PDF Chat	Pointwise ergodic theorems for non-conventional bilinear polynomial averages	2022	Ben Krause Mariusz Mirek Terence Tao
+	Polynomial progressions in topological fields	2022	Ben Krause Mariusz Mirek Sarah Peluse James Wright
+	Discrete Analogues in Harmonic Analysis: A Theorem of Stein-Wainger	2022	Ben Krause
+	$$L^p$$ Estimates for Bilinear Generalized Radon Transforms in the Plane	2022	Allan Greenleaf Alex Iosevich Ben Krause A. Liu
+ PDF	Discrete analogues of maximally modulated singular integrals of Stein–Wainger type	2021	Ben Krause Joris Roos
+	Discrete analogues of maximally modulated singular integrals of Stein-Wainger type, II	2021	Ben Krause Joris Roos
+ PDF	Directional maximal function along the primes	2021	Laura Cladek Polona Durcik Ben Krause José Madrid
+	GeDi: Generative Discriminator Guided Sequence Generation	2021	Ben Krause Akhilesh Gotmare Bryan McCann Nitish Shirish Keskar Shafiq Joty Richard Socher Nazneen Fatema Rajani
+	GeDi: Generative Discriminator Guided Sequence Generation	2021	Ben Krause Akhilesh Gotmare Bryan McCann Nitish Shirish Keskar Shafiq Joty Richard Socher Nazneen Fatema Rajani
+	Deep Extrapolation for Attribute-Enhanced Generation	2021	Alvin Chan Ali Madani Ben Krause Nikhil Naik
+	Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: $\ell^p$ bounds for $p>1$	2021	Ben Krause Joris Roos
+ PDF Chat	GeDi: Generative Discriminator Guided Sequence Generation	2020	Ben Krause Akhilesh Gotmare Bryan McCann Nitish Shirish Keskar Shafiq Joty Richard Socher Nazneen Fatema Rajani
+	Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in ℤ2	2020	Laura Cladek Ben Krause
+	Taylorized Training: Towards Better Approximation of Neural Network Training at Finite Width	2020	Yu Bai Ben Krause Huan Wang Caiming Xiong Richard Socher
+ PDF	Averages Along the Primes: Improving and Sparse Bounds	2020	Rui Han Ben Krause Michael T. Lacey Fan Yang
+	On Maximal Functions With Curvature	2020	Ben Krause
+	Explaining and Improving Model Behavior with k Nearest Neighbor Representations	2020	Nazneen Fatema Rajani Ben Krause Wenpeng Yin Tong Niu Richard Socher Caiming Xiong
+	GeDi: Generative Discriminator Guided Sequence Generation	2020	Ben Krause Akhilesh Gotmare Bryan McCann Nitish Shirish Keskar Shafiq Joty Richard Socher Nazneen Fatema Rajani
+	Pointwise ergodic theorems for non-conventional bilinear polynomial averages	2020	Ben Krause Mariusz Mirek Terence Tao
+	Directional maximal function along the primes	2019	Laura Cladek Polona Durcik Ben Krause José Madrid
+ PDF	Dimension-Free <i>L</i> <i>p</i>-Maximal Inequalities for Spherical Means in ℤ<i>m</i>+1<i>N</i>	2019	Jordan Greenblatt Alexandra Kolla Ben Krause
+	A Non-Linear Roth Theorem for Sets of Positive Density	2019	Ben Krause
+	Discrete Analogues in Harmonic Analysis: Directional Maximal Functions in $\mathbb{Z}^2$	2019	Laura Cladek Ben Krause
+	Dynamic Evaluation of Transformer Language Models	2019	Ben Krause Emmanuel Kahembwe Iain Murray Steve Renals
+	A Non-Linear Roth Theorem for Fractals of Sufficiently Large Dimension	2019	Ben Krause
+	Discrete Fractional Integration Operators Along the Primes	2019	Ben Krause
+ PDF Chat	On convergence of oscillatory ergodic Hilbert transforms	2019	Ben Krause Michael T. Lacey Μáté Wierdl
+	Averages Along the Primes: Improving and Sparse Bounds	2019	Rui Han Ben Krause Michael T. Lacey Fan Yang
+	Directional maximal function along the primes	2019	Laura Cladek Polona Durcik Ben Krause José Madrid
+	Discrete analogues of maximally modulated singular integrals of Stein-Wainger type	2019	Ben Krause Joris Roos
+	Maximal Operators: Scales, Curvature and the Fractal Dimension	2018	Alex Iosevich Ben Krause Eric T. Sawyer Krystal Taylor Ignacio Uriarte-Tuero
+ PDF Chat	Sparse bounds for maximally truncated oscillatory singular integrals	2018	Ben Krause Michael T. Lacey
+ PDF Chat	Sparse Bounds for Random Discrete Carleson Theorems	2018	Ben Krause Michael T. Lacey
+	Discrete Analogoues in Harmonic Analysis: Maximally Monomially Modulated Singular Integrals Related to Carleson's Theorem	2018	Ben Krause
+	Talking to myself: self-dialogues as data for conversational agents	2018	Joachim Fainberg Ben Krause Mihai Dobre Marco Damonte Emmanuel Kahembwe Daniel Duma Bonnie Webber Federico Fancellu
+ PDF Chat	Dimension-Free $L^p$-Maximal Inequalities for Spherical Means in the Hypercube	2018	Ben Krause
+ PDF Chat	Sparse bounds for maximal monomial oscillatory Hilbert transforms	2018	Ben Krause Michael T. Lacey
+ PDF Chat	A discrete carleson theorem along the primes with a restricted supremum	2017	Laura Cladek Kevin Henriot Ben Krause Izabella Łaba Malabika Pramanik
+ PDF	Two-parameter version of Bourgain's inequality: Rational frequencies	2017	Ben Krause Mariusz Mirek Bartosz Trojan
+	Sparse Bounds for Maximally Truncated Oscillatory Singular Integrals	2017	Ben Krause Michael T. Lacey
+	Improved endpoint bounds for the lacunary spherical maximal operator	2017	Laura Cladek Ben Krause
+	Bilinear generalized Radon transforms in the plane	2017	Allan Greenleaf Alex Iosevich Ben Krause Allen P. Liu
+	A Uniform Random Pointwise Ergodic Theorem	2017	Ben Krause Pavel Zorin‐Kranich
+	Dynamic Evaluation of Neural Sequence Models	2017	Ben Krause Emmanuel Kahembwe Iain Murray Steve Renals
+	Edina: Building an Open Domain Socialbot with Self-dialogues	2017	Ben Krause Marco Damonte Mihai Dobre Daniel Duma Joachim Fainberg Federico Fancellu Emmanuel Kahembwe Jianpeng Cheng Bonnie Webber
+	On Convergence of Modulated Ergodic Hilbert Transforms	2016	Ben Krause Michael T. Lacey Μáté Wierdl
+	Multiplicative LSTM for sequence modelling	2016	Ben Krause Liang Lu Iain Murray Steve Renals
+	A Weak Type Inequality for Maximal Monomial Oscillatory Hilbert Transforms	2016	Ben Krause Michael T. Lacey
+ PDF Chat	Weighted and vector-valued variational estimates for ergodic averages	2016	Ben Krause Pavel Zorin‐Kranich
+	A Discrete Quadratic Carleson Theorem on with<i>ℓ</i><sup>2</sup>a Restricted Supremum	2016	Ben Krause Michael T. Lacey
+	A Discrete Carleson Theorem Along the Primes with a Restricted Supremum	2016	Laura Cladek Kevin Henriot Ben Krause Izabella Łaba Malabika Pramanik
+ PDF Chat	On the Hardy–Littlewood majorant problem for arithmetic sets	2016	Ben Krause Mariusz Mirek Bartosz Trojan
+	On Convergence of Oscillatory Ergodic Hilbert Transforms	2016	Ben Krause Michael T. Lacey Μáté Wierdl
+	Sparse Bounds for Maximal Monomial Oscillatory Hilbert Transforms	2016	Ben Krause Michael T. Lacey
+	Multiplicative LSTM for sequence modelling	2016	Ben Krause Iain Murray Steve Renals Liang Lu
+	Sparse Bounds for Random Discrete Carleson Theorems	2016	Ben Krause Michael T. Lacey
+	A Discrete Carleson Theorem Along the Primes with a Restricted Supremum	2016	Laura Cladek Kevin Henriot Ben Krause Izabella Łaba Malabika Pramanik
+	The maximal function and conditional square function control the variation: An elementary proof	2015	Kevin Hughes Ben Krause Bartosz Trojan
+ PDF Chat	(Uniform) convergence of twisted ergodic averages	2015	Tanja Eisner Ben Krause
+	Two-parameter version of Bourgain's inequality: Rational frequencies	2015	Ben Krause Mariusz Mirek Bartosz Trojan
+ PDF Chat	A random pointwise ergodic theorem with Hardy field weights	2015	Ben Krause Pavel Zorin‐Kranich
+	On the Hardy--Littlewood majorant problem for arithmetic sets	2015	Ben Krause Mariusz Mirek Bartosz Trojan
+	A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a Restricted Supremum	2015	Ben Krause Michael T. Lacey
+	Optimizing and Contrasting Recurrent Neural Network Architectures	2015	Ben Krause
+	Measures of polynomial growth and classical convolution inequalities	2014	Alex Iosevich Ben Krause Eric T. Sawyer Krystal Taylor Ignacio Uriarte-Tuero
+	Some Optimizations for (Maximal) Multipliers in $L^p$	2014	Ben Krause
+	Polynomial Ergodic Averages Converge Rapidly: Variations on a Theorem of Bourgain	2014	Ben Krause
+	The Maximal Function and Square Function Control the Variation: An Elementary Proof	2014	Kevin Hughes Ben Krause Bartosz Trojan
+	Dimension-Free $L^p$-Maximal Inequalities in $\mathbb{Z}_{m+1}^N$	2014	Jordan Greenblatt Alexandra Kolla Ben Krause
+	Measures of polynomial growth and classical convolution inequalities	2014	Alex Iosevich Ben Krause Eric T. Sawyer Krystal Taylor Ignacio Uriarte-Tuero
+	Dimension-free Maximal Inequalities for Spherical Means in the Hypercube	2013	Ben Krause
+	On Higher-Dimensional Oscillation in Ergodic Theory	2013	Ben Krause
+	Necessary optimality conditions and regularity results for state and adjoint state of nonlinear control problems	1992	Ben Krause

Common Coauthors

Coauthor	Papers Together
Michael T. Lacey	15
Laura Cladek	9
Mariusz Mirek	8
Bartosz Trojan	6
Richard Socher	6
Joris Roos	5
Emmanuel Kahembwe	5
Nazneen Fatema Rajani	5
Shafiq Joty	5
Alex Iosevich	5
Akhilesh Gotmare	4
Nitish Shirish Keskar	4
Steve Renals	4
Iain Murray	4
Bryan McCann	3
Terence Tao	3
Polona Durcik	3
Eric T. Sawyer	3
José Madrid	3
Kevin Henriot	3
Ignacio Uriarte-Tuero	3
Krystal Taylor	3
Malabika Pramanik	3
Pavel Zorin‐Kranich	3
Izabella Łaba	3
Caiming Xiong	3
Μáté Wierdl	3
Alexandra Kolla	2
Marco Damonte	2
Sarah Peluse	2
James Wright	2
Kevin Hughes	2
Rui Han	2
Jordan Greenblatt	2
Joachim Fainberg	2
Federico Fancellu	2
Mihai Dobre	2
Allan Greenleaf	2
Daniel Duma	2
Bonnie Webber	2
Fan Yang	2
Hamed Mousavi	2
Bo Pang	1
Allen P. Liu	1
Jesse Vig	1
Silvio Savarese	1
Yingbo Zhou	1
Senthil Purushwalkam	1
Jianpeng Cheng	1
Chien-Sheng Wu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain	21
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain	17
+ PDF	Oscillatory integrals related to Carleson’s theorem	2001	Elias M. Stein Stephen Wainger	15
+ PDF	$L^p$ boundedness of discrete singular Radon transforms	2005	Alexandru D. Ionescu Stephen Wainger	13
+ PDF	ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS	1968	A. P. Calderón	12
+ PDF	Maximal multilinear operators	2008	Ciprian Demeter Terence Tao Christoph Thiele	9
+ PDF	The (Weak-L 2) Boundedness of the Quadratic Carleson Operator	2009	Victor Lie	9
+ PDF	Discrete analogues of singular Radon transforms	1990	E. M. Stein Stephen Wainger	8
+ PDF	Strong variational and jump inequalities in harmonic analysis	2008	Roger L. Jones Andreas Seeger James Wright	8
+	Discrete analogues in harmonic analysis, I: ℓ 2 estimates for singular radon transforms	1999	Elias M. Stein Stephen Wainger	8
+	On the pointwise ergodic theorem onL p for arithmetic sets	1988	Jean Bourgain	8
+ PDF	Proof of the Ergodic Theorem	1931	George D. Birkhoff	7
+	Oscillatory singular integrals and harmonic analysis on nilpotent groups	1986	Fulvio Ricci E. M. Stein	6
+ PDF Chat	Discrete Analogues in Harmonic Analysis: Spherical Averages	2002	Ákos Magyar E. M. Stein Stephen Wainger	6
+	L^p(Z^d)-estimates for discrete operators of Radon type: Variational estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan	6
+ PDF Chat	Square function estimates for discrete Radon transforms	2017	Mariusz Mirek	6
+ PDF Chat	Discrete maximal functions in higher dimensions and applications to ergodic theory	2016	Mariusz Mirek Bartosz Trojan	6
+	$\ell^p\big(\mathbb Z^d\big)$-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan	6
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	6
+	Polynomial Ergodic Averages Converge Rapidly: Variations on a Theorem of Bourgain	2014	Ben Krause	5
+ PDF Chat	Breaking the duality in the return times theorem	2008	Ciprian Demeter Michael T. Lacey Terence Tao Christoph Thiele	5
+	Variational estimates for averages and truncated singular integrals along the prime numbers	2015	Mariusz Mirek Bartosz Trojan Pavel Zorin‐Kranich	5
+	The Bilinear Maximal Functions Map into L p for 2/3 < p ≤ 1	2000	Michael T. Lacey	5
+ PDF Chat	Sharp variation-norm estimates for oscillatory integrals related to Carleson’s theorem	2020	Shaoming Guo Joris Roos Po-Lam Yung	5
+	Pointwise ergodic theorem along the prime numbers	1988	Μáté Wierdl	5
+	Introduction to number theory	2009	Luo Hua	5
+ PDF Chat	Cotlar’s Ergodic Theorem Along the Prime Numbers	2015	Mariusz Mirek Bartosz Trojan	5
+	Some Optimizations for (Maximal) Multipliers in $L^p$	2014	Ben Krause	5
+ PDF	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2018	Mariusz Mirek Elias M. Stein Bartosz Trojan	5
+ PDF Chat	Improved bounds for Stein's square functions	2012	Sanghyuk Lee Keith M. Rogers Andreas Seeger	4
+	A nonlinear version of Roth's theorem for sets of positive density in the real line	1988	Jean Bourgain	4
+	Variation estimates for averages along primes and polynomials	2014	Pavel Zorin‐Kranich	4
+ PDF Chat	A pointwise estimate for positive dyadic shifts and some applications	2015	José M. Conde-Alonso Guillermo Rey	4
+	Weak (1,1) bounds for oscillatory singular integrals	1987	Sagun Chanillo Michael Christ	4
+ PDF Chat	Estimates for the square variation of partial sums of Fourier series and their rearrangements	2012	Allison Lewko Mark Lewko	4
+	Oscillatory Integrals Related to Radon-like Transforms	2020	Elias M. Stein	4
+	Some connections between Falconer's distance set conjecture, and sets of Furstenburg type	2001	Nets Hawk Katz Terence Tao	4
+	Attention is All you Need	2017	Ashish Vaswani Noam Shazeer Niki Parmar Jakob Uszkoreit Llion Jones Aidan N. Gomez Łukasz Kaiser Illia Polosukhin	4
+ PDF Chat	Weak type (1, 1) inequalities for discrete rough maximal functions	2015	Mariusz Mirek	4
+ PDF	A Calderón Zygmund decomposition for multiple frequencies and an application to an extension of a Lemma of Bourgain	2010	Fëdor Nazarov Richard Oberlin Christoph Thiele	4
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	3
+	A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a Restricted Supremum	2015	Ben Krause Michael T. Lacey	3
+ PDF	Weighted weak type (1,1) estimates for oscillatory singular integrals	2000	Shūichi Satō	3
+	Harmonic Analysis and Ergodic Theory	1941	Norbert Wiener Aurel Wintner	3
+ PDF Chat	Maximal operators and Hilbert transforms along variable non‐flat homogeneous curves	2017	Shaoming Guo Jonathan Hickman Victor Lie Joris Roos	3
+	Pointwise ergodic theorems via harmonic analysis	2010	Joseph Rosenblatt Μáté Wierdl	3
+	L^p(Z^d)-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan	3
+	Ergodic Theory and Configurations in Sets of Positive Density	1990	Hillel Fürstenberg Yitzchak Katznelson Benjamin Weiss	3
+	$$\ell ^p\left( \mathbb {Z}^d\right) $$ ℓ p Z d -estimates for discrete operators of Radon type: variational estimates	2017	Mariusz Mirek Elias M. Stein Bartosz Trojan	3
+	Generating Sequences With Recurrent Neural Networks	2013	Alex Graves	3