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* Spring Semester, 2021 [#baeafac3]
**4月19日 / April 19 [#q886c2aa]
The first meeting of the semester. &br;
Let us gather, greet new members to the Department, and set a plan for the semester before us. &br;
''Update:'' &br;
This year it was decided to have six meetings
with two presenters at each meeting.
The seminars will be mainly held online by Zoom,
And a local screening will be arranged. &br;
Presenters may choose to give their presentations locally,
and be broadcasted on Zoom.
**5月31日 / May 31 [#i144d48c]
-Speaker: Ran Wang
&br;
'''[[Control Systems Theory Group>http://www.bode.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic:''
&br;
''Formation Control of Multiple Drones with Limited Local Measurements''
&br;
This talk will introduce formation control theory firstly and show you some application cases, e.g. how to make a drone show. Then a Real-time Operating System (RTOS) based mini-drone called Crazyflie will be introduced including its hardware and software. Also, the limitation of sensors will be considered and an Extended Kalman Filter is used to obtain an optimal states estimation. Finally, we will discuss some limitations in applying formation control theory into practical projects and my future work.
&br; &br;
-Speaker: Shunji Kakinaka
&br;
'''[[Physical Statistics Group>http://amech.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic:''
&br;
''Asymmetric volatility dynamics in cryptocurrency markets''
&br;
Asymmetric correlation between price and volatility is a prominent feature of financial market time series. In this short presentation, the stylized facts of the relationship between price and volatility in cryptocurrency markets are introduced. In addition, the presence of asymmetric volatility effect between uptrend (bull) and downtrend (bear) regimes are investigated using the nonlinear cross-correlation coefficient measures.
**6月14日 / June 14 [#s191b6ea]
-Speaker: Hiroki Tanaka
&br;
'''[[Physical Statistics Group>http://amech.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic:''
&br;
''Bayes’ theorem on marked point process and its application to seismicity-like time-series''
&br;
Probabilistic forecasting of large earthquakes is based on the statistics on the time intervals of past earthquakes at a large magnitude threshold, and the information on the small events are less utilized. In this presentation, as a method to use such information for the probabilistic evaluation, the Bayes’ theorem between the inter-event times of different magnitude thresholds is considered. By applying the method to the synthetic earthquake catalog, the effectiveness for the forecasting is discussed briefly.
&br;
&br;
-Speaker: Hiroki Tanabe
&br;
'''[[System Optimization Group>http://www-optima.amp.i.kyoto-u.ac.jp/index.html]]'''
&br;
''Topic:''
&br;
''Accelerated proximal gradient methods for multiobjective optimization''
&br;
In recent years, many researchers have studied descent methods for multiobjective optimization problems. For example, Fliege and Svaiter proposed the steepest descent method for differentiable multiobjective optimization problems. Afterward, a proximal gradient method, which can solve non-differentiable problems, was also considered. However, their accelerated versions are not sufficiently studied. Recently, El Moudden and El Mouatasim proposed a natural extension of Nesterov’s accelerated method for multiobjective optimization problems. They proved the global convergence rate of the algorithm O(1/k^2) under the assumption that the sequence of the Lagrangian multipliers of the subproblems is eventually fixed. However, this assumption is restrictive because it means that the method is regarded as the Nesterov’s method for the weighting problem. In this paper, we propose new accelerated algorithms, in which we solve subproblems with terms that only appear in the multiobjective case. We also prove the proposed methods' global convergence rate O(1/k^2) under a more natural assumption, using merit functions as a way to measure the complexity.
**6月21日 / June 21 [#se7c5f42]
-Speaker: Atsushi Hori
&br;
'''[[System Optimization Group>http://www-optima.amp.i.kyoto-u.ac.jp/index.html]]'''
&br;
''Topic:'' &br;
''Distributionally Robust Expected Residual Minimization for Stochastic Variational Inequality Problems''
&br;
The stochastic variational inequality problem (SVIP) is an equilibrium model which includes random variables and has been widely used in economics, engineering, and others. The expected residual minimization (ERM) is known as one of models to get a reasonable solution to the SVIP, and its objective function is an expected value of a suitable merit function for the SVIP. However, the ERM is restricted to the case where the distribution has already been known. We extend the ERM so that robust solutions can be obtained for the SVIP under the uncertainty distribution (we call the extended one DRERM), where the worst case distribution is taken from the set of probability measures whose expected value and variance take the same sample mean and variance, respectively. Under suitable assumptions, we show that the DRERM can be reformulated as a deterministic convex nonlinear semidefinite programming to avoid numerical integration.
&br;
&br;
-Speaker: Veronika Nguyen
&br;
'''[[Discrete Mathematics Group>http://www-or.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic:'' &br;
''Using expander graphs to test whether samples are i.i.d.''
&br;
Expander graphs are sparse but well-connected graphs and it is indeed difficult to explicitly construct such graphs. However, a result of Friedman shows that a randomly selected d-regular graph with enough vertices is an expander graph with high probability. Using Friedman's result Steinerberger suggests a new test on whether samples are i.i.d. by assigning a graph to a sequence of numbers and then looking at the spectral values of the adjacency matrix of the graph.
**6月28日 / June 28 [#dd192871]
-Speaker: Tomoyuki Mao
&br;
'''[[Physical Statistics Group>http://amech.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic: TBA''
''Topic:'' &br;
''Estimation of Physiological State Focused on Chaotic Properties of Heart Rate Variability''
&br;
In physiology, autonomic nervous system activity is evaluated by analyzing heart rate variability (HRV) using methods of statistical analysis or frequency analysis. In this presentation, I will introduce the experimental result of analyzing the heart rate (RRI) data in physical load and mental load from the viewpoint of chaos, which has been attracting attention in recent years.
&br; &br;
-Speaker: Yoshiharu Maeno
-Speaker: Atsushi Maeno
&br;
'''[[Applied Mathematical Analysis Group>https://www-is.amp.i.kyoto-u.ac.jp/lab/en/]]'''
&br;
''Topic: TBA''
''Topic:'' &br;
''Linearization of the generalized box-ball system''
&br;
The box-ball system (BBS for short) is a cellular automaton that exhibits solitonic behavior.
Since Takahashi and Satsuma introduced it in 1990, it has been studied from a variety of aspects such as ultradiscretization of soliton equations, crystal base, combinatorics, and others.
The time evolution of the BBS can be linearized with KKR (Kerov-Kirillov-Reshetikhin) bijection, which was originally introduced in the analysis of solvable lattice models. Kakei et al. simplified and gave a new interpretation to the procedure to compose KKR bijection with "01-arc lines". By generalizing this method, we can linearize the generalized BBS that KKR bijection cannot be applied to.
&br;
**7月12日 / July 12 [#n727db2a]
-Speaker: Jiahao Huang
&br;
'''[[Control Systems Theory Group>http://www.bode.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic: TBA''
&br;
&br;
-Speaker: Yuika Kajihara
&br;
'''[[Dynamical Systems Group>https://yang.amp.i.kyoto-u.ac.jp/lab/en/index.html]]'''
&br;
''Topic: TBA''
**7月19日 / July 19 [#e2f03f05]
-Speaker: Hardik Tankaria
&br;
'''[[System Optimization Group>http://www-optima.amp.i.kyoto-u.ac.jp/index.html]]'''
&br;
''Topic: TBA''
&br; &br;
-Speaker: Ryuta Moriyasu
&br;
'''[[Control Systems Theory Group>http://www.bode.amp.i.kyoto-u.ac.jp/]]'''
&br;
''Topic: TBA''
*** The Research Groups in AMP [#w2419d09]
'''[[Applied Mathematical Analysis Group>https://www-is.amp.i.kyoto-u.ac.jp/lab/en/]]'''
&br;
'''[[Discrete Mathematics Group>https://www-or.amp.i.kyoto-u.ac.jp/]]'''
&br;
'''[[System Optimization Group>https://www-optima.amp.i.kyoto-u.ac.jp/index.html]]'''
&br;
'''[[Control Systems Theory Group>https://www.bode.amp.i.kyoto-u.ac.jp/]]'''
&br;
'''[[Physical Statistics Group>https://amech.amp.i.kyoto-u.ac.jp/]]'''
&br;
'''[[Dynamical Systems Group>https://yang.amp.i.kyoto-u.ac.jp/lab/en/index.html]]'''
&br;
'''[[Applied Mathematical Modelling Group>http://www.bode.amp.i.kyoto-u.ac.jp/amm/]]'''
![[AMP]](image/amp2.png "[AMP]")
