Benjamin Gess

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stochastic Modified Flows for Riemannian Stochastic Gradient Descent	2024	Benjamin Gess Sebastian Kassing Nimit Rana
+ PDF Chat	Stochastic Modified Flows for Riemannian Stochastic Gradient Descent	2024	Benjamin Gess Sebastian Kassing Nimit Rana
+	An Example of Intrinsic Randomness in Deterministic PDEs	2020	Franco Flandoli Benjamin Gess Francesco Grotto
+	Regularity of solutions to scalar conservation laws with a force	2018	Xavier Lamy Benjamin Gess
+	Sobolev regularity for the porous medium equation with a force	2017	Benjamin Gess
+	Optimal regularity for the porous medium equation	2017	Benjamin Gess
+	Regularity of solutions to scalar conservation laws with a force	2017	Benjamin Gess Xavier Lamy
+	Regularity of solutions to scalar conservation laws with a force	2017	Benjamin Gess Xavier Lamy
+	Density bounds for solutions to differential equations driven by Gaussian rough paths	2017	Benjamin Gess Cheng Ouyang Samy Tindel

Common Coauthors

Coauthor	Papers Together
Xavier Lamy	3
Sebastian Kassing	2
Nimit Rana	2
Francesco Grotto	1
Cheng Ouyang	1
Samy Tindel	1
Franco Flandoli	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Velocity averaging, kinetic formulations, and regularizing effects in quasi‐linear PDEs	2007	Eitan Tadmor Terence Tao	4
+ PDF Chat	On the optimality of velocity averaging lemmas	2003	Camillo De Lellis Michael Westdickenberg	4
+ PDF Chat	Structure of Entropy Solutions for Multi-Dimensional Scalar Conservation Laws	2003	Camillo De Lellis Félix Otto Michael Westdickenberg	4
+ PDF Chat	Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations	2003	Gui‐Qiang Chen Benoı̂t Perthame	4
+ PDF Chat	Interior and boundary continuity of weak solutions of degenerate parabolic equations	1982	William P. Ziemer	2
+	Continuity estimates for porous medium type equations with measure data	2014	Verena Bögelein Frank Duzaar Ugo Gianazza	2
+ PDF Chat	Fractional BV spaces and applications to scalar conservation laws	2014	Christian Bourdarias Marguerite Gisclon Stéphane Junca	2
+	Lipschitz Continuity o f Solutions and Interfaces of the N-Dimensional Porous Medium Equation	1985	Luis Caffarelli Juan Luís Vázquez Noemí Wolanski	2
+	Sobolev regularity for the porous medium equation with a force	2017	Benjamin Gess	2
+	Renormalized entropy solutions of scalar conservation laws.	2000	Philippe Benilán José A. Carrillo Petra Wittbold	2
+	Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws	2009	Pierre‐Emmanuel Jabin	2
+	Continuity of solutions of a singular parabolic equation	1983	Paul Sacks	2
+ PDF Chat	Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces	2012	Masashi Mizuno	2
+ PDF Chat	Lp regularity of velocity averages	1991	Ronald J. DiPerna Pierre‐Louis Lions Yves Meyer	2
+	Parabolic problems for the Anderson model	1990	Jürgen Gärtner Stanislav Molchanov	2
+	Hölder estimates for nonlinear degenerate parabolic sytems.	1985	Emmanuele DiBenedetto Avner Friedman	2
+	Porous Medium Type Equations with Measure Data and Potential Estimates	2013	Verena Bögelein Frank Duzaar Ugo Gianazza	2
+	A regularity theorem for a nonconvex scalar conservation law	1986	Kuo-Shung Cheng	2
+ PDF Chat	Parabolic problems for the Anderson model	1998	Jürgen Gärtner Stanislav Molchanov	2
+ PDF Chat	Projection-like Retractions on Matrix Manifolds	2012	P.-A. Absil Jérôme Malick	1
+ PDF Chat	Properties at infinity of diffusion semigroups and stochastic flows via weak uniform covers	1994	Xue-Mei Li	1
+ PDF Chat	Cylindrical Wiener Processes	2010	Markus Riedle	1
+ PDF Chat	Gradient algorithms for principal component analysis	1996	Robert Mahony Uwe Helmke J.B. Moore	1
+	Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws	2008	Gianluca Crippa Félix Otto Michael Westdickenberg	1
+ PDF Chat	Self-improving property of degenerate parabolic equations of porous medium-type	2019	Ugo Gianazza Sebastian Schwarzacher	1
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	1
+	Flatness implies smoothness for solutions of the porous medium equation	2016	Clemens Kienzler Herbert Koch Juan Luís Vázquez	1
+	Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE	2016	Benjamin Gess Martina Hofmanová	1
+	Regularity of solutions to scalar conservation laws with a force	2017	Benjamin Gess Xavier Lamy	1
+ PDF Chat	Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations	2018	Yuanyuan Feng Lei Li Jian‐Guo Liu	1
+ PDF Chat	On the diffusion approximation of nonconvex stochastic gradient descent	2019	Wenqing Hu Chris Junchi Li Lei Li Jian‐Guo Liu	1
+	Quadratic optimization with orthogonality constraint: explicit Łojasiewicz exponent and linear convergence of retraction-based line-search and stochastic variance-reduced gradient methods	2018	Huikang Liu Anthony Man–Cho So Weijie Wu	1
+ PDF Chat	Stochastic Approximation on Riemannian Manifolds	2019	Suhail M. Shah	1
+ PDF Chat	Flatness implies smoothness for solutions of the porous medium equation	2017	Clemens Kienzler Herbert Koch Juan Luís Vázquez	1
+ PDF Chat	The Fisher–Rao Distance between Multivariate Normal Distributions: Special Cases, Bounds and Applications	2020	Julianna Pinele João E. Strapasson Sueli I. R. Costa	1
+ PDF Chat	Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation	2020	Yuanyuan Feng Tingran Gao Lei Li Jian‐Guo Liu Yulong Lu	1
+ PDF Chat	Stochastic Gradient Descent on Riemannian Manifolds	2013	Silvère Bonnabel	1
+ PDF Chat	Optimal regularizing effect for scalar conservation laws	2013	François Golse Benoı̂t Perthame	1
+	Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis	2023	Stephan Wojtowytsch	1
+ PDF Chat	Cooling down stochastic differential equations: Almost sure convergence	2022	Steffen Dereich Sebastian Kassing	1
+ PDF Chat	Existence, uniqueness and regularity of the projection onto differentiable manifolds	2021	Gunther Leobacher Alexander Steinicke	1
+ PDF Chat	On minimal representations of shallow ReLU networks	2022	Steffen Dereich Sebastian Kassing	1
+	Lie Groups	2000	J. J. Duistermaat J. A. C. Kolk	1
+	North-Holland Mathematical Library	1988		1
+ PDF Chat	A Systematic Approach to Lyapunov Analyses of Continuous-Time Models in Convex Optimization	2023	Céline Moucer Adrien Taylor Francis Bach	1
+	An Introduction to Optimization on Smooth Manifolds	2023	Nicolas Boumal	1
+ PDF Chat	Efficient Random Walks on Riemannian Manifolds	2023	Simon Schwarz Michael Herrmann Anja Sturm Max Wardetzky	1
+ PDF Chat	On uniform-in-time diffusion approximation for stochastic gradient descent	2023	Lei Li Yuliang Wang	1
+	Robust implicit regularization via weight normalization	2024	Hung-Hsu Chou Holger Rauhut Rachel Ward	1
+	Transport Equations and Multi-D Hyperbolic Conservation Laws	2008	Luigi Ambrosio Gianluca Crippa Camillo De Lellis Félix Otto Michael Westdickenberg	1