Akiyoshi Sannai

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Decomposition of Equivariant Maps via Invariant Maps: Application to Universal Approximation under Symmetry	2024	Akiyoshi Sannai Yuuki Takai Matthieu Cordonnier
+	Unification of Symmetries Inside Neural Networks: Transformer, Feedforward and Neural ODE	2024	Koji Hashimoto Yuji Hirono Akiyoshi Sannai
+ PDF Chat	Unification of Symmetries Inside Neural Networks: Transformer, Feedforward and Neural ODE	2024	Koji Hashimoto Yuji Hirono Akiyoshi Sannai
+ PDF Chat	Integrating Large Language Models in Causal Discovery: A Statistical Causal Approach	2024	Masayuki Takayama T. Okuda Thong Pham Tatsuyoshi Ikenoue Shingo Fukuma Shohei Shimizu Akiyoshi Sannai
+ PDF Chat	A Policy Gradient Primal-Dual Algorithm for Constrained MDPs with Uniform PAC Guarantees	2024	Toshinori Kitamura Tadashi Kozuno Masahiro Kato Yuki Ichihara Soichiro Nishimori Akiyoshi Sannai Sho Sonoda Wataru Kumagai Yutaka Matsuo
+	LPML: LLM-Prompting Markup Language for Mathematical Reasoning	2023	Ryutaro Yamauchi Sho Sonoda Akiyoshi Sannai Wataru Kumagai
+	Bézier Flow: a Surface-wise Gradient Descent Method for Multi-objective Optimization	2022	Akiyoshi Sannai Yasunari Hikima Ken Kobayashi Akinori Tanaka Naoki Hamada
+ PDF Chat	Group Equivariant Conditional Neural Processes	2021	Makoto Kawano Wataru Kumagai Akiyoshi Sannai Yusuke Iwasawa Yutaka Matsuo
+	Group Equivariant Conditional Neural Processes	2021	Makoto Kawano Wataru Kumagai Akiyoshi Sannai Yusuke Iwasawa Yutaka Matsuo
+	Approximate Bayesian Computation of Bézier Simplices	2021	Akinori Tanaka Akiyoshi Sannai Ken Kobayashi Naoki Hamada
+	Equivariant and Invariant Reynolds Networks	2021	Akiyoshi Sannai Makoto Kawano Wataru Kumagai
+	On the Number of Linear Functions Composing Deep Neural Network: Towards a Refined Definition of Neural Networks Complexity	2020	Yuuki Takai Akiyoshi Sannai Matthieu Cordonnier
+ PDF Chat	Asymptotic Risk of Bézier Simplex Fitting	2020	Akinori Tanaka Akiyoshi Sannai Ken Kobayashi Naoki Hamada
+	Universal Approximation Theorem for Equivariant Maps by Group CNNs	2020	Wataru Kumagai Akiyoshi Sannai
+	On the Number of Linear Functions Composing Deep Neural Network: Towards a Refined Definition of Neural Networks Complexity	2020	Yuuki Takai Akiyoshi Sannai Matthieu Cordonnier
+ PDF Chat	Infinitely generated symbolic Rees algebras over finite fields	2019	Akiyoshi Sannai Hiromu Tanaka
+	Improved Generalization Bound of Permutation Invariant Deep Neural Networks	2019	Akiyoshi Sannai Masaaki Imaizumi
+ PDF Chat	Bézier Simplex Fitting: Describing Pareto Fronts of´ Simplicial Problems with Small Samples in Multi-Objective Optimization	2019	Ken Kobayashi Naoki Hamada Akiyoshi Sannai Akinori Tanaka Kenichi Bannai Masashi Sugiyama
+	Invariant subring of the Cox ring of K3 surfaces	2019	Akiyoshi Sannai
+	Universal approximations of permutation invariant/equivariant functions by deep neural networks	2019	Akiyoshi Sannai Yuuki Takai Matthieu Cordonnier
+	Asymptotic Risk of Bezier Simplex Fitting	2019	Akinori Tanaka Akiyoshi Sannai Ken Kobayashi Naoki Hamada
+	Improved Generalization Bounds of Group Invariant / Equivariant Deep Networks via Quotient Feature Spaces	2019	Akiyoshi Sannai Masaaki Imaizumi Makoto Kawano
+	Reconstruction of training samples from loss functions	2018	Akiyoshi Sannai
+	Bezier Simplex Fitting: Describing Pareto Fronts of Simplicial Problems with Small Samples in Multi-objective Optimization	2018	Ken Kobayashi Naoki Hamada Akiyoshi Sannai Akinori Tanaka Kenichi Bannai Masashi Sugiyama
+ PDF Chat	A Characterization of Ordinary Abelian Varieties by the Frobenius Push-Forward of the Structure Sheaf II	2017	Sho Ejiri Akiyoshi Sannai
+	A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf II	2017	Sho Ejiri Akiyoshi Sannai
+ PDF Chat	A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf	2016	Akiyoshi Sannai Hiromu Tanaka
+	Characterization of varieties of Fano type via singularities of Cox rings	2014	Yoshinori Gongyo Shinnosuke Okawa Akiyoshi Sannai Shunsuke Takagi
+	A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf	2014	Akiyoshi Sannai Hiromu Tanaka
+ PDF Chat	Generalized Koszul Resolution	2013	Satoshi Mochizuki Akiyoshi Sannai
+	Galois extensions and maps on local cohomology	2013	Akiyoshi Sannai
+	Dual F-signature	2013	Akiyoshi Sannai
+	Homotopy invariance of higher K-theory for abelian categories	2013	Satoshi Mochizuki Akiyoshi Sannai
+	ON DUAL F-SIGNATURE	2013	Akiyoshi Sannai
+	Dual F-signature	2013	Akiyoshi Sannai
+ PDF Chat	Jet schemes of homogeneous hypersurfaces	2012	Shihoko Ishii Akiyoshi Sannai Keiichi Watanabe
+	Characterization of varieties of Fano type via singularities of Cox rings	2012	Yoshinori Gongyo Shinnosuke Okawa Akiyoshi Sannai Shunsuke Takagi
+	Galois extensions, plus closure, and maps on local cohomology	2011	Akiyoshi Sannai Anurag K. Singh
+	Generalized Koszul resolutions	2011	Satoshi Mochizuki Akiyoshi Sannai
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>F</mml:mi></mml:math>-signature of graded Gorenstein rings	2011	Akiyoshi Sannai Kei-ichi Watanabe
+	Higher K-theory of polynomial categories	2011	Satoshi Mochizuki Akiyoshi Sannai
+	Jet schemes of homogeneous hypersurfaces	2011	Shihoko Ishii Akiyoshi Sannai Kei-ichi Watanabe
+	Galois extensions, plus closure, and maps on local cohomology	2011	Akiyoshi Sannai Anurag K. Singh
+	F-signature of graded Gorenstein rings	2011	Akiyoshi Sannai Kei-ichi Watanabe
+	Generalized Koszul resolutions	2011	Satoshi Mochizuki Akiyoshi Sannai

Common Coauthors

Coauthor	Papers Together
Wataru Kumagai	6
Akinori Tanaka	6
Ken Kobayashi	6
Naoki Hamada	5
Satoshi Mochizuki	5
Matthieu Cordonnier	4
Yuuki Takai	4
Yutaka Matsuo	3
Makoto Kawano	3
Kei-ichi Watanabe	3
Hiromu Tanaka	2
Shihoko Ishii	2
Masaaki Imaizumi	2
Yusuke Iwasawa	2
Masashi Sugiyama	2
Kenichi Bannai	2
Yuji Hirono	2
Yoshinori Gongyo	2
Koji Hashimoto	2
Sho Ejiri	2
Shunsuke Takagi	2
Shinnosuke Okawa	2
Anurag K. Singh	2
Makoto Kawano	1
Masayuki Takayama	1
Toshinori Kitamura	1
Sho Sonoda	1
Keiichi Watanabe	1
Thong Pham	1
Shingo Fukuma	1
Tatsuyoshi Ikenoue	1
Yasunari Hikima	1
Tadashi Kozuno	1
Hiromu Tanaka	1
Shohei Shimizu	1
Masahiro Kato	1
Naoki Hamada	1
Soichiro Nishimori	1
Ryutaro Yamauchi	1
Sho Sonoda	1
Yuki Ichihara	1
T. Okuda	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Adaptive weighted aggregation: A multiobjective function optimization framework taking account of spread and evenness of approximate solutions	2010	Naoki Hamada Yuichi Nagata Shigenobu Kobayashi Isao Ono	5
+	On Noetherian Rings of Characteristic p	1976	Ernst Kunz	4
+	Frobenius Splitting and Cohomology Vanishing for Schubert Varieties	1985	V. B. Mehta A. Ramanathan	4
+	Observations on the F-signature of local rings of characteristic p	2005	Yongwei Yao	4
+	On the Universality of Invariant Networks	2019	Haggai Maron Ethan Fetaya Nimrod Segol Yaron Lipman	4
+	Universal approximations of invariant maps by neural networks	2018	Dmitry Yarotsky	3
+	Varieties in positive characteristic with trivial tangent bundle	1987	V. B. Mehta V. Srinivas	3
+	Globally F-regular and log Fano varieties	2010	Karl Schwede Karen E. Smith	3
+	Tight Closure and Its Applications	1996	Craig Huneke	3
+	Neural network with unbounded activation functions is universal approximator	2015	Sho Sonoda Noboru Murata	3
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog	3
+	Birational Geometry of Algebraic Varieties	1998	Janós Kollár Шигефуми Мори	3
+	The structure of F-pure rings	2005	Ian M. Aberbach Florian Enescu	3
+ PDF Chat	On the Krull-Schmidt theorem with application to sheaves	1956	Michael Atiyah	3
+ PDF Chat	Ordinary varieties and the comparison between multiplier ideals and test ideals	2011	Mircea Mustaţă Vasudevan Srinivas	3
+	Multi-Objective Bayesian Global Optimization using expected hypervolume improvement gradient	2018	Kaifeng Yang Michael Emmerich André Deutz Thomas Bäck	3
+	On Learning Sets of Symmetric Elements	2020	Haggai Maron Or Litany Gal Chechik Ethan Fetaya	3
+	Adaptive Scalarization Methods in Multiobjective Optimization	2008	Gabriele Eichfelder	3
+ PDF Chat	Tight closure and strong F-regularity	1989	Melvin Hochster Craig Huneke	3
+ PDF Chat	Tight closure, invariant theory, and the Briançon-Skoda theorem	1990	Melvin Hochster Craig Huneke	3
+	F-rational rings have rational singularities	1997	Karen E. Smith	3
+ PDF Chat	Non-connective <i>K</i>-theory via universal invariants	2011	Denis-Charles Cisinski Gonçalo Tabuada	2
+	Pure weight perfect Modules on divisorial schemes	2010	Toshiro Hiranouchi Satoshi Mochizuki	2
+	Towards the second main theorem on complements	2008	Yuri Prokhorov Vyacheslav Vladimirovich Shokurov	2
+	Absolute integral closure in positive characteristic	2006	Craig Huneke Gennady Lyubeznik	2
+ PDF Chat	Annihilators of local cohomology in characteristic zero	2007	Paul Roberts Anurag K. Singh V. Srinivas	2
+ PDF Chat	Stability of Frobenius direct images over surfaces	2015	Congjun Liu Mingshuo Zhou	2
+ PDF Chat	A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf	2016	Akiyoshi Sannai Hiromu Tanaka	2
+ PDF Chat	Minimal relative Hilbert-Kunz multiplicity	2004	Kei-ichi Watanabe Ken-ichi Yoshida	2
+ PDF Chat	Failure of $\mathrm{F}$-purity and $\mathrm{F}$-regularity in certain rings of invariants	1998	Anurag K. Singh	2
+	A Statistical View of Some Chemometrics Regression Tools	1993	lldiko E. Frank Jerome H. Friedman	2
+	The localization theorem for protective modules	1974	S. M. Gersten	2
+	Local Cohomological Dimension in Characteristic p	1977	Robin Hartshorne Robert Speiser	2
+	F-regular and F-pure rings vs. log terminal and log canonical singularities	2001	Nobuo Hara Kei-ichi Watanabe	2
+ PDF Chat	A characterization of rational singularities in terms of injectivity of Frobenius maps	1998	Nobuo Hara	2
+ PDF Chat	On images of Mori dream spaces	2015	Shinnosuke Okawa	2
+ PDF Chat	F-signature exists	2012	Kevin Tucker	2
+	Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach	2001	Claus Hillermeier	2
+	Negative K-theory of derived categories	2006	Marco Schlichting	2
+	F-modules: applications to local cohomology and D-modules in characteristic p>0.	1997	Gennady Lyubeznik	2
+	ON SOME PROBLEMS IN ABSTRACT ALGEBRAIC GEOMETRY	1955	Jun-ichi Igusa	2
+	Characterizations of Regular Local Rings of Characteristic p	1969	Ernst Kunz	2
+	Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay	1974	Melvin Hochster Joel Roberts	2
+	On rational connectedness of globally F-regular threefolds	2015	Yoshinori Gongyo Zhiyuan Li Zsolt Patakfalvi Karl Schwede Hiromu Tanaka Runhong Zong	2
+	Rees Algebras of F-regular Type	2002	Nobuo Hara K. Watanabe Ken Yoshida	2
+ PDF Chat	The Canonical Map and Horikawa Surfaces in Positive Characteristic	2012	Christian Liedtke	2
+	The purity of the Frobenius and local cohomology	1976	Melvin Hochster Joel Roberts	2
+ PDF Chat	The Direct Summand Conjecture in Dimension Three	2002	Raymond C. Heitmann	2
+	Fundamental Algebraic Geometry	2006	Barbara Fantechi Lothar Göttsche Luc Illusie Steven L. Kleiman Nitin Nitsure Angelo Vistoli	2
+	Topics in the Homological Theory of Modules over Commutative Rings	1975	Melvin Hochster	2