Dynamic Time Warping を用いた高頻度取引データのLead-Lag 効果の推定Katsuya Ito
This paper investigates the Lead-Lag relationships in high-frequency data.
We propose Multinomial Dynamic Time Warping (MDTW) that deals with non-synchronous observation, vast data, and time-varying Lead-Lag.
MDTW directly estimates the Lead-Lags without lag candidates. Its computational complexity is linear with respect to the number of observation and it does not depend on the number of lag candidates.
The experiments adopting artificial data and market data illustrate the effectiveness of our method compared to the existing methods.
Dynamic Time Warping を用いた高頻度取引データのLead-Lag 効果の推定Katsuya Ito
This paper investigates the Lead-Lag relationships in high-frequency data.
We propose Multinomial Dynamic Time Warping (MDTW) that deals with non-synchronous observation, vast data, and time-varying Lead-Lag.
MDTW directly estimates the Lead-Lags without lag candidates. Its computational complexity is linear with respect to the number of observation and it does not depend on the number of lag candidates.
The experiments adopting artificial data and market data illustrate the effectiveness of our method compared to the existing methods.
The document contains mathematical equations and notation related to machine learning and probability distributions. It involves defining terms like P(y|x), which represents the probability of outcome y given x, and exploring ways to calculate the expected value of an objective function Rn under different probability distributions p and q over the variables x and y. The goal appears to be to select parameters θ to optimize some objective while accounting for the distributions of the training data.
VDEP is a proposed method for quantitatively evaluating team defense in soccer based on estimating the probabilities of events like ball recoveries and opponents' attacks. It calculates a value for defense based on the predicted probability of increasing ball recoveries while decreasing opponents' attacks. The method was shown to accurately predict these frequent intermediate events and provide a more stable evaluation than rare scoring outcomes. It can be used to analyze individual games, plays, and a team's performance over a season correlated with their final ranking.
quantum chemistry on quantum computer handson by Q# (2019/8/4@MDR Hongo, Tokyo)Maho Nakata
The document describes the Hamiltonian operator (H) and its application to the Hartree-Fock wavefunction (|ΦHF⟩) to obtain energy eigenvalues (E0, E1, etc.). The Hartree-Fock wavefunction can be expressed as a linear combination of Slater determinants (|Ψ0⟩, |Ψ1⟩, etc.). Applying the exponential of the Hamiltonian operator over time (eiHt) to |ΦHF⟩ yields the time-dependent Hartree-Fock wavefunction.
The document contains mathematical equations and notation related to machine learning and probability distributions. It involves defining terms like P(y|x), which represents the probability of outcome y given x, and exploring ways to calculate the expected value of an objective function Rn under different probability distributions p and q over the variables x and y. The goal appears to be to select parameters θ to optimize some objective while accounting for the distributions of the training data.
VDEP is a proposed method for quantitatively evaluating team defense in soccer based on estimating the probabilities of events like ball recoveries and opponents' attacks. It calculates a value for defense based on the predicted probability of increasing ball recoveries while decreasing opponents' attacks. The method was shown to accurately predict these frequent intermediate events and provide a more stable evaluation than rare scoring outcomes. It can be used to analyze individual games, plays, and a team's performance over a season correlated with their final ranking.
quantum chemistry on quantum computer handson by Q# (2019/8/4@MDR Hongo, Tokyo)Maho Nakata
The document describes the Hamiltonian operator (H) and its application to the Hartree-Fock wavefunction (|ΦHF⟩) to obtain energy eigenvalues (E0, E1, etc.). The Hartree-Fock wavefunction can be expressed as a linear combination of Slater determinants (|Ψ0⟩, |Ψ1⟩, etc.). Applying the exponential of the Hamiltonian operator over time (eiHt) to |ΦHF⟩ yields the time-dependent Hartree-Fock wavefunction.
QIQB(大阪大学先導的学際研究機構量子情報・量子生命研究部門)セミナー でのスライドを加筆したもの。量子コンピュータを用いた量子化学計算の現在の状況と展望を述べた.
伝統的なゲート式位相推定による方法とvariational eigen solverによるものと2つ。ごく最近虚時間発展法の実装もされており、それは別スライドで概観した。
The document discusses the application of the Bravyi-Kitaev transformation to quantum chemistry calculations on a quantum computer. It notes that while quantum computers could perform quantum chemistry simulations much faster than classical computers, actually implementing the calculations requires many unitary circuits. The Bravyi-Kitaev transformation reduces the number of circuits needed by encoding qubits in a different way, making the calculations more efficient for a real quantum computer.
PubChem QC project. In this project we calculate all molecules in the PubChem Project. Currently 1,100,000 molecules are available at http://pubchemqc.riken.jp/ . Results are in public domain.