1,236 research outputs found

    Newton-type Methods with the Proximal Gradient Step for Sparse Estimation

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    In this paper, we propose new methods to efficiently solve convex optimization problems encountered in sparse estimation, which include a new quasi-Newton method that avoids computing the Hessian matrix and improves efficiency, and we prove its fast convergence. We also prove the local convergence of the Newton method under weaker assumptions. Our proposed methods offer a more efficient and effective approach, particularly for L1 regularization and group regularization problems, as they involve variable selection with each update. Through numerical experiments, we demonstrate the efficiency of our methods in solving problems encountered in sparse estimation. Our contributions include theoretical guarantees and practical applications for various problems.Comment: 23 pages, 6 figure

    Measurements of time dependent CP asymmetry in BVVB \to VV decays with BELLE

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    A study of CP violation in BJ/ψK(KS0π0)B\to J/\psi K^*(K_S^0\pi^0) decays by time dependent angular analysis is discussed. Status of time independent analyses for other BVVB\to VV decays is also reported. The data used for the analyses are taken with the Belle detector at KEK.Comment: 4 pages, 3 figures, Proceeding of the talk in parallel session (CP-3-5) at ICHEP2002, Amsterdam, Netherland, 24-31 July (2002

    Quantum Diagonalization Method in the Tavis-Cummings Model

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    To obtain the explicit form of evolution operator in the Tavis-Cummings model we must calculate the term eitg(S+a+Sa){e}^{-itg(S_{+}\otimes a+S_{-}\otimes a^{\dagger})} explicitly which is very hard. In this paper we try to make the quantum matrix AS+a+SaA\equiv S_{+}\otimes a+S_{-}\otimes a^{\dagger} diagonal to calculate eitgA{e}^{-itgA} and, moreover, to know a deep structure of the model. For the case of one, two and three atoms we give such a diagonalization which is first nontrivial examples as far as we know, and reproduce the calculations of eitgA{e}^{-itgA} given in quant-ph/0404034. We also give a hint to an application to a noncommutative differential geometry. However, a quantum diagonalization is not unique and is affected by some ambiguity arising from the noncommutativity of operators in quantum physics. Our method may open a new point of view in Mathematical Physics or Quantum Physics.Comment: Latex files, 21 pages; minor changes. To appear in International Journal of Geometric Methods in Modern Physic

    Environmental Impacts of Methane Fermentation System Using Hot Springs

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    Penelitian ini bertujuan untuk mengetahui kompetensi pedagogik guru dalam proses pembelajaran PAI di MTs Pondok Pesantren Yayasan Hidayatul Ma’arifiyah Kecamatan Pangkalan Kerinci Kabupaten Pelalawan dan faktor faktor yang mempengaruhi kompetensi pedagogik guru dalam proses pembelajaran PAI di MTs Pondok Pesantren Yayasan Hidayatul Ma’arifiyah Kecamatan Pangkalan Kerinci Kabupaten Pelalawan. Subjek dalam penelitian ini adalah guru-guru PAI yang ada di MTs Pondok Pesantren Hidayatul Ma’arifiyyah Kecamatan Pangkalan Kerinci Kabupaten Pelalawan. Sedangkan yang menjadi objeknya adalah kompetensi pedagogik guru dalam proses pembelajaran PAI di MTs Pondok Pesantren Yayasan Hidayatul Ma’arifiyah Kecamatan Pangkalan Kerinci Kabupaten Pelalawan. Adapun teknik pengumpulan data yang digunakan yaitu observasi, wawancara, dan dokumentasi. Sedangkan teknik analisa data yang digunakan yaitu teknik deskriptif kualitatif dengan persentase. Berdasarkan hasil penelitian yang telah dilakukan maka penulis dapat mengambil kesimpulan yaitu: Kompetensi pedagogik guru dalam proses pembelajaran Pendidikan Agama Islam di MTs Hidayatul Ma’arifiyah Pangkalan Kerinci termasuk kategori cukup. Hal ini diketahui dari hasil persentase rata-rata kompetensi pedagogik guru dalam proses pembelajaran Pendidikan Agama Islam di MTs Hidayatul Ma’arifiyah Pangkalan Kerinci yaitu sebesar 60,67%. Sedangkan faktor-faktor yang mempengaruhi kompetensi pedagogik guru dalam proses pembelajaran PAI di MTs Hidayatul Ma’arifiyah Kecamatan Pangkalan Kerinci yaitu: latar belakang pendidikan guru, pengalaman mengajar, pengawasan yang dilakukan oleh kepada sekolah, dan sarana atau fasilitas pendidikan yang memadai yang dimiliki oleh MTs Hidayatul Ma’arifiyah Pangkalan Kerinci Kabupaten Pelalawan tersebut
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