## Seminar information archive

Seminar information archive ～09/14｜Today's seminar 09/15 | Future seminars 09/16～

#### Operator Algebra Seminars

16:45-18:15 Online

Generalized strong asymptotic freeness (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

**Benoit Collins**(Kyoto Univ.)Generalized strong asymptotic freeness (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

### 2020/12/01

#### Tuesday Seminar on Topology

17:00-18:00 Online

Pre-registration required. See our seminar webpage.

Goeritz groups of bridge decompositions (JAPANESE)

https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

Pre-registration required. See our seminar webpage.

**Yuya Koda**(Hiroshima University)Goeritz groups of bridge decompositions (JAPANESE)

[ Abstract ]

For a bridge decomposition of a link in the 3-sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the 3-sphere that preserve each of the bridge sphere and link setwise. The Birman-Hilden theory tells us that this is a $\mathbb{Z} / 2 \mathbb{Z}$-quotient of a "hyperelliptic Goeritz group". In this talk, we discuss properties, mainly of dynamical nature, of this group using a measure of complexity called the distance of the decomposition. We then give an application to the asymptotic behavior of the minimal entropies for the original Goeritz groups of Heegaard splittings. This talk is based on a joint work with Susumu Hirose, Daiki Iguchi and Eiko Kin.

[ Reference URL ]For a bridge decomposition of a link in the 3-sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the 3-sphere that preserve each of the bridge sphere and link setwise. The Birman-Hilden theory tells us that this is a $\mathbb{Z} / 2 \mathbb{Z}$-quotient of a "hyperelliptic Goeritz group". In this talk, we discuss properties, mainly of dynamical nature, of this group using a measure of complexity called the distance of the decomposition. We then give an application to the asymptotic behavior of the minimal entropies for the original Goeritz groups of Heegaard splittings. This talk is based on a joint work with Susumu Hirose, Daiki Iguchi and Eiko Kin.

https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

#### Numerical Analysis Seminar

16:30-18:00 Online

Conjugate gradient methods for optimization problems on manifolds (Japanese)

[ Reference URL ]

https://forms.gle/Ubeccm8neLkacjbk8

**Hiroyuki Sato**(Kyoto University)Conjugate gradient methods for optimization problems on manifolds (Japanese)

[ Reference URL ]

https://forms.gle/Ubeccm8neLkacjbk8

#### PDE Real Analysis Seminar

10:30-11:30 Room # Zoomによるオンライン開催 (Graduate School of Math. Sci. Bldg.)

Existence of the $1$-harmonic map flow (English)

**Michał Łasica**(Institute of Mathematics of the Polish Academy of Sciences / University of Tokyo)Existence of the $1$-harmonic map flow (English)

[ Abstract ]

Similarly as in the real-valued case, the total variation of maps taking values in a Riemannian manifold extends to a lower semicontinuous functional on $L^2$. However, in general this functional is not geodesically semiconvex, so the existence of its gradient flow is not provided by general variational theory. Alternatively, one can try to apply the theory of parabolic PDE systems, mimicking the approach used for $p$-harmonic map flows, $p>1$. This poses some difficulties, because the PDE system corresponding to the flow is strongly nonlinear, singular and degenerate. However, in some cases, this approach was successful. In this talk, I will describe known results on the existence of the flow, focusing on my work with Lorenzo Giacomelli and Salvador Moll.

Similarly as in the real-valued case, the total variation of maps taking values in a Riemannian manifold extends to a lower semicontinuous functional on $L^2$. However, in general this functional is not geodesically semiconvex, so the existence of its gradient flow is not provided by general variational theory. Alternatively, one can try to apply the theory of parabolic PDE systems, mimicking the approach used for $p$-harmonic map flows, $p>1$. This poses some difficulties, because the PDE system corresponding to the flow is strongly nonlinear, singular and degenerate. However, in some cases, this approach was successful. In this talk, I will describe known results on the existence of the flow, focusing on my work with Lorenzo Giacomelli and Salvador Moll.

### 2020/11/30

#### Seminar on Geometric Complex Analysis

10:30-12:00 Online

On asymptotic base loci of relative anti-canonical divisors

[ Reference URL ]

https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB

**IWAI Masataka**(Osaka City Univ. and Kyoto Univ.)On asymptotic base loci of relative anti-canonical divisors

[ Reference URL ]

https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB

### 2020/11/27

#### Seminar on Probability and Statistics

17:00-18:10 Room #on-line (Graduate School of Math. Sci. Bldg.)

Register at least 3 days before at the reference URL. The URL for participation sent before the seminar.

Processes with small ball estimate: properties, examples, statistical inference (ENGLISH)

https://docs.google.com/forms/d/e/1FAIpQLSeYCDQS9c9i0gy-Y0YY-q5TPJlwGmWhCYnkKRE7udvMOoy0mw/viewform

Register at least 3 days before at the reference URL. The URL for participation sent before the seminar.

**Yuliya Mishura**(Taras Shevchenko National University of Kyiv)Processes with small ball estimate: properties, examples, statistical inference (ENGLISH)

[ Abstract ]

The notion of a process with small ball estimate is introduced and studied. In particular, divergence of integral functional of such process is established and applied to statistical estimation. Several interesting examples are provided, and various modifications of the main group of properties are considered. The talk is based on the common research with Prof. Nakahiro Yoshida.

[ Reference URL ]The notion of a process with small ball estimate is introduced and studied. In particular, divergence of integral functional of such process is established and applied to statistical estimation. Several interesting examples are provided, and various modifications of the main group of properties are considered. The talk is based on the common research with Prof. Nakahiro Yoshida.

https://docs.google.com/forms/d/e/1FAIpQLSeYCDQS9c9i0gy-Y0YY-q5TPJlwGmWhCYnkKRE7udvMOoy0mw/viewform

### 2020/11/26

#### Information Mathematics Seminar

16:50-18:35 Online

Reinforcement learning and Regression algorithm to support AI (Japanese)

https://forms.gle/Uhy8uBujZatjNMsGA

**Hiroshi Fujiwara**(BroadBand Tower, Inc.)Reinforcement learning and Regression algorithm to support AI (Japanese)

[ Abstract ]

Explanation on the reinforcement learning and regression algorithm to support AI

[ Reference URL ]Explanation on the reinforcement learning and regression algorithm to support AI

https://forms.gle/Uhy8uBujZatjNMsGA

#### Mathematical Biology Seminar

15:00-16:00 Room # (Graduate School of Math. Sci. Bldg.)

Some reinfection models (Japanese)

**Yukihiko Nakata**(Department of Physics and Mathematics, Aoyama Gakuin University)Some reinfection models (Japanese)

### 2020/11/24

#### Tuesday Seminar on Topology

17:30-18:30 Online

Pre-registration required. See our seminar webpage.

Intersection of Poincare holonomy varieties and Bers' simultaneous uniformization theorem (JAPANESE)

https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

Pre-registration required. See our seminar webpage.

**Shinpei Baba**(Osaka University)Intersection of Poincare holonomy varieties and Bers' simultaneous uniformization theorem (JAPANESE)

[ Abstract ]

Given a marked compact Riemann surface X, the vector space of holomorphic quadratic differentials on X is identified with the space of CP

In this manner, different Riemann surfaces structures yield different half-dimensional smooth analytic subvarieties in the character variety. In this talk, we discuss some properties of their intersection. To do so, we utilize a cut-and-paste operation, called grafting, of CP

[ Reference URL ]Given a marked compact Riemann surface X, the vector space of holomorphic quadratic differentials on X is identified with the space of CP

^{1}-structures on X. Then, by the holonomy representations of CP^{1}-structures, this vector space properly embeds into the PSL(2, C)-character variety, the space of representations of the fundamental group of X into PSL(2,C).In this manner, different Riemann surfaces structures yield different half-dimensional smooth analytic subvarieties in the character variety. In this talk, we discuss some properties of their intersection. To do so, we utilize a cut-and-paste operation, called grafting, of CP

^{1}-structures.https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

### 2020/11/20

#### Colloquium

15:30-16:30 Online

Please register at the link below to attend this online colloquium

Tilting theory and its companions (JAPANESE)

[ Reference URL ]

https://zoom.us/meeting/register/tJIrcu-prjoiGdNRSs0z3a5rl1SiuVgk0W8K

Please register at the link below to attend this online colloquium

**Osamu Iyama**(University of Tokyo)Tilting theory and its companions (JAPANESE)

[ Reference URL ]

https://zoom.us/meeting/register/tJIrcu-prjoiGdNRSs0z3a5rl1SiuVgk0W8K

### 2020/11/19

#### Operator Algebra Seminars

16:45-18:15 Online

Covariant homogeneous nets of standard subspaces (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

**Vincenzo Morinelli**(University of Rome, Tor Vergata)Covariant homogeneous nets of standard subspaces (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

#### Information Mathematics Seminar

16:50-18:35 Online

The consideration of the account injustice access case and zero trust by Microsoft (Japanese)

https://forms.gle/Uhy8uBujZatjNMsGA

**Hiroshi Fujiwara**(BroadBand Tower, Inc.)The consideration of the account injustice access case and zero trust by Microsoft (Japanese)

[ Abstract ]

We give a consideration of the account injustice access case and zero trust by Microsoft

[ Reference URL ]We give a consideration of the account injustice access case and zero trust by Microsoft

https://forms.gle/Uhy8uBujZatjNMsGA

### 2020/11/18

#### Discrete mathematical modelling seminar

17:00-18:00 Online

This seminar will be held using Zoom. If you wish to participate, please contact R. Willox by email.

Recent developments on variational difference equations and their classification (English)

This seminar will be held using Zoom. If you wish to participate, please contact R. Willox by email.

**Giorgio GUBBIOTTI**(The University of Sydney, School of Mathematics and Statistics)Recent developments on variational difference equations and their classification (English)

[ Abstract ]

We review some recent development in the theory of variational difference equations of order higher than two. In particular we present our recent solution of the inverse problem of calculus variations. Then, we present the application of such solution in the classification of variational fourth-order difference equations. To be more specific, we will present the most general form of variational additive and multiplicative fourth-order difference equations.

We review some recent development in the theory of variational difference equations of order higher than two. In particular we present our recent solution of the inverse problem of calculus variations. Then, we present the application of such solution in the classification of variational fourth-order difference equations. To be more specific, we will present the most general form of variational additive and multiplicative fourth-order difference equations.

#### Number Theory Seminar

17:00-18:00 Online

Symmetric bilinear forms and local epsilon factors of isolated singularities in positive characteristic (Japanese)

**Daichi Takeuchi**(University of Tokyo)Symmetric bilinear forms and local epsilon factors of isolated singularities in positive characteristic (Japanese)

[ Abstract ]

For a function on a smooth variety with an isolated singular point, we have two invariants. One is a non-degenerate symmetric bilinear form (de Rham), and the other is the vanishing cycles complex (\'etale). The latter is a Galois representation of a local field measuring a complexity of the singularity.

In this talk, I will give a formula which expresses the local epsilon factor of the vanishing cycles complex in terms of the bilinear form. In particular, the sign of the local epsilon factor is determined by the discriminant of the bilinear form. This can be regarded as a refinement of Milnor formula in SGA 7, which compares the rank of the bilinear form and the total dimension of the vanishing cycles.

In characteristic 2, we find a generalization of Arf invariant, which can be regarded as an invariant for a non-degenerate quadratic singularity, to a general isolated singularity.

For a function on a smooth variety with an isolated singular point, we have two invariants. One is a non-degenerate symmetric bilinear form (de Rham), and the other is the vanishing cycles complex (\'etale). The latter is a Galois representation of a local field measuring a complexity of the singularity.

In this talk, I will give a formula which expresses the local epsilon factor of the vanishing cycles complex in terms of the bilinear form. In particular, the sign of the local epsilon factor is determined by the discriminant of the bilinear form. This can be regarded as a refinement of Milnor formula in SGA 7, which compares the rank of the bilinear form and the total dimension of the vanishing cycles.

In characteristic 2, we find a generalization of Arf invariant, which can be regarded as an invariant for a non-degenerate quadratic singularity, to a general isolated singularity.

#### Seminar on Probability and Statistics

14:30-16:00 Room #Zoom (Graduate School of Math. Sci. Bldg.)

Please register at least 3 days before at the reference URL. The URL for participation will be sent before the seminar.

Hamiltonian Monte Carlo In Bayesian Empirical Likelihood Computation (English)

https://docs.google.com/forms/d/e/1FAIpQLSfbk6GTAzQuj0__YUtUMiAgbPWabT-M1vmbgldohiwPxPltuw/viewform

Please register at least 3 days before at the reference URL. The URL for participation will be sent before the seminar.

**Sanjay Chaudhuri**(National University of Singapore)Hamiltonian Monte Carlo In Bayesian Empirical Likelihood Computation (English)

[ Abstract ]

Asia-Pacific Seminar in Probability and Statistics https://sites.google.com/view/apsps/home

Abstract: We consider Bayesian empirical likelihood estimation and develop an efficient Hamiltonian Monte Carlo method for sampling from the posterior distribution of the parameters of interest. The proposed method uses hitherto unknown properties of the gradient of the underlying log-empirical likelihood function. It is seen that these properties hold under minimal assumptions on the parameter space, prior density and the functions used in the estimating equations determining the empirical likelihood. We overcome major challenges posed by complex, non-convex boundaries of the support routinely observed for empirical likelihood which prevents efficient implementation of traditional Markov chain Monte Carlo methods like random walk Metropolis-Hastings etc. with or without parallel tempering. Our method employs finite number of estimating equations and observations but produces valid semi-parametric inference for a large class of statistical models including mixed effects models, generalised linear models, hierarchical Bayes models etc. A simulation study confirms that our proposed method converges quickly and draws samples from the posterior support efficiently. We further illustrate its utility through an analysis of a discrete data-set in small area estimation.

Keywords: Constrained convex optimisation; Empirical likelihood; Generalised linear models; Hamiltonian Monte Carlo; Mixed effect models; Score equations; Small area estimation; Unbiased estimating equations.

This is a joint work with Debashis Mondal, Oregon State University and Yin Teng, E&Y, Singapore.

[ Reference URL ]Asia-Pacific Seminar in Probability and Statistics https://sites.google.com/view/apsps/home

Abstract: We consider Bayesian empirical likelihood estimation and develop an efficient Hamiltonian Monte Carlo method for sampling from the posterior distribution of the parameters of interest. The proposed method uses hitherto unknown properties of the gradient of the underlying log-empirical likelihood function. It is seen that these properties hold under minimal assumptions on the parameter space, prior density and the functions used in the estimating equations determining the empirical likelihood. We overcome major challenges posed by complex, non-convex boundaries of the support routinely observed for empirical likelihood which prevents efficient implementation of traditional Markov chain Monte Carlo methods like random walk Metropolis-Hastings etc. with or without parallel tempering. Our method employs finite number of estimating equations and observations but produces valid semi-parametric inference for a large class of statistical models including mixed effects models, generalised linear models, hierarchical Bayes models etc. A simulation study confirms that our proposed method converges quickly and draws samples from the posterior support efficiently. We further illustrate its utility through an analysis of a discrete data-set in small area estimation.

Keywords: Constrained convex optimisation; Empirical likelihood; Generalised linear models; Hamiltonian Monte Carlo; Mixed effect models; Score equations; Small area estimation; Unbiased estimating equations.

This is a joint work with Debashis Mondal, Oregon State University and Yin Teng, E&Y, Singapore.

https://docs.google.com/forms/d/e/1FAIpQLSfbk6GTAzQuj0__YUtUMiAgbPWabT-M1vmbgldohiwPxPltuw/viewform

### 2020/11/17

#### Tuesday Seminar on Topology

17:00-18:00 Online

Pre-registration required. See our seminar webpage.

Lefschetz fibration on the Milnor fibers of simple elliptic and cusp singularities (JAPANESE)

https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

Pre-registration required. See our seminar webpage.

**Yoshihiko Mitsumatsu**(Chuo University)Lefschetz fibration on the Milnor fibers of simple elliptic and cusp singularities (JAPANESE)

[ Abstract ]

In this talk a joint work with Naohiko Kasuya(Kyoto Sangyo U.), Hiroki Kodama(Tohoku U.), and Atsuhide Mori(Osaka Dental U.) is reported. The main result is the following.

There exist a Lefschetz fibration of the Milnor fiber of T_{pqr}-singularity (1/p + 1/q + 1/r ≦ 1) to the unit disk with regular fiber diffeomorphic to T^2.

An outline of the construction will be explained, through which, the space of 2-jets of (R^4, 0) to (R^2, 0) is analysed. This is motivated by F. Presas' suggestion that the speaker's construction of regular Poisson structures(=leafwise symplectic foliations) on S^5 might be interpreted by ``leafwise Lefschetz fibration''. These Lefschetz fibrations give a way to look at K3 surfaces through an extended class of Arnol'd's strange duality. These applications are introduced as well.

[ Reference URL ]In this talk a joint work with Naohiko Kasuya(Kyoto Sangyo U.), Hiroki Kodama(Tohoku U.), and Atsuhide Mori(Osaka Dental U.) is reported. The main result is the following.

There exist a Lefschetz fibration of the Milnor fiber of T_{pqr}-singularity (1/p + 1/q + 1/r ≦ 1) to the unit disk with regular fiber diffeomorphic to T^2.

An outline of the construction will be explained, through which, the space of 2-jets of (R^4, 0) to (R^2, 0) is analysed. This is motivated by F. Presas' suggestion that the speaker's construction of regular Poisson structures(=leafwise symplectic foliations) on S^5 might be interpreted by ``leafwise Lefschetz fibration''. These Lefschetz fibrations give a way to look at K3 surfaces through an extended class of Arnol'd's strange duality. These applications are introduced as well.

https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html

### 2020/11/12

#### Operator Algebra Seminars

16:45-18:15 Online

Contraction and bosonisation (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

**Sutanu Roy**(NISER)Contraction and bosonisation (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

#### Tokyo-Nagoya Algebra Seminar

16:00-17:30 Online

Please see the URL below for details on the online seminar.

ICE-closed subcategories and wide tau-tilting modules (Japanese)

Please see the URL below for details on the online seminar.

**Arashi Sakai**(Nagoya University)ICE-closed subcategories and wide tau-tilting modules (Japanese)

### 2020/11/11

#### Discrete mathematical modelling seminar

17:00-18:00 Online

The seminar will be held using Zoom. If you wish to participate, please contact R. Willox by email.

Discrete Sobolev inequalities and their applications -- from periodic lattices to 1812 C60 fullerene isomers (Japanese)

The seminar will be held using Zoom. If you wish to participate, please contact R. Willox by email.

**Atsushi NAGAI**(Tsuda University, Department of Computer Science)Discrete Sobolev inequalities and their applications -- from periodic lattices to 1812 C60 fullerene isomers (Japanese)

### 2020/11/09

#### Seminar on Geometric Complex Analysis

10:30-12:00 Online

Meromorphic continuation of local zeta functions and nonpolar singularities

[ Reference URL ]

https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB

**NOSE Toshihiro**(Fukuoka Institute of Technology)Meromorphic continuation of local zeta functions and nonpolar singularities

[ Reference URL ]

https://zoom.us/meeting/register/tJ0vcu2rrDIqG9Rv5AT0Mpi37urIkJ1IRldB

### 2020/11/05

#### Operator Algebra Seminars

16:45-18:15 Online

Subfactors and Quantum Fourier Analysis (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

**Zhengwei Liu**(Tsinghua University)Subfactors and Quantum Fourier Analysis (English)

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

#### Applied Analysis

16:00-17:30 Room #オンライン開催 (Graduate School of Math. Sci. Bldg.)

Hölder gradient estimates on L^p-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients (Japanese)

https://docs.google.com/forms/d/e/1FAIpQLSf4Rmd6B0m9_t_-xdy2hT1ZC1Ziz2qEc3yLRCQNZBilAOB1Ag/viewform?usp=sf_link

**( )**Hölder gradient estimates on L^p-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients (Japanese)

[ Abstract ]

We discuss fully nonlinear second-order uniformly parabolic equations, including parabolic Isaacs equations. Isaacs equations arise in the theory of stochastic differential games. In 2014, N.V. Krylov proved the existence of L^p-viscosity solutions of boundary value problems for equations with VMO (vanishing mean oscillation) “coefficients” when p>n+2. Furthermore, the solutions were in the parabolic Hölder space C^{1,α} for 0<α<1. Our purpose is to show C^{1,α} estimates on L^p-viscosity solutions of fully nonlinear parabolic equations under the same conditions as in Krylov’s result.

[ Reference URL ]We discuss fully nonlinear second-order uniformly parabolic equations, including parabolic Isaacs equations. Isaacs equations arise in the theory of stochastic differential games. In 2014, N.V. Krylov proved the existence of L^p-viscosity solutions of boundary value problems for equations with VMO (vanishing mean oscillation) “coefficients” when p>n+2. Furthermore, the solutions were in the parabolic Hölder space C^{1,α} for 0<α<1. Our purpose is to show C^{1,α} estimates on L^p-viscosity solutions of fully nonlinear parabolic equations under the same conditions as in Krylov’s result.

https://docs.google.com/forms/d/e/1FAIpQLSf4Rmd6B0m9_t_-xdy2hT1ZC1Ziz2qEc3yLRCQNZBilAOB1Ag/viewform?usp=sf_link

#### Information Mathematics Seminar

16:50-18:35 Online

History of PC rise and fall /What is a parallel processing? What is a

quantum gate? (Japanese)

https://forms.gle/Uhy8uBujZatjNMsGA

**Hiroshi Fujiwara**(BroadBand Tower, Inc.)History of PC rise and fall /What is a parallel processing? What is a

quantum gate? (Japanese)

[ Abstract ]

Explanation of the history of PC rise and fall, and also of a parallel processing and a quantum gate.

[ Reference URL ]Explanation of the history of PC rise and fall, and also of a parallel processing and a quantum gate.

https://forms.gle/Uhy8uBujZatjNMsGA

### 2020/10/29

#### Operator Algebra Seminars

15:30-17:00 Online

Continuum (free) fields from lattice wavelet renormalization

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

**Yoh Tanimoto**(University of Rome, Tor Vergata)Continuum (free) fields from lattice wavelet renormalization

[ Reference URL ]

https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm

#### Information Mathematics Seminar

16:50-18:35 Online

Supervised/Unsupervised Learning and Reinforcement Learning for Deep

Learning (Japanese)

https://forms.gle/Uhy8uBujZatjNMsGA

**Hiroshi Fujiwara**(BroadBand Tower, Inc.)Supervised/Unsupervised Learning and Reinforcement Learning for Deep

Learning (Japanese)

[ Abstract ]

Explanation on supervised/unsupervised learning and reinforcement learning for deep

learning

[ Reference URL ]Explanation on supervised/unsupervised learning and reinforcement learning for deep

learning

https://forms.gle/Uhy8uBujZatjNMsGA

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