On Relations Between the Relative Entropy and χ 2 -Divergence, Generalizations and Applications T Nishiyama, I Sason
Entropy 22 (5), 563, 2020
25 2020 A tight lower bound for the hellinger distance with given means and variances T Nishiyama
arXiv preprint arXiv:2010.13548, 2020
14 2020 A new lower bound for kullback-leibler divergence based on hammersley-chapman-robbins bound T Nishiyama
arXiv preprint arXiv:1907.00288, 2019
8 2019 Generalized bregman and jensen divergences which include some f-divergences T Nishiyama
arXiv preprint arXiv:1808.06148, 2018
6 2018 Upper bound for entropy production in Markov processes T Nishiyama, Y Hasegawa
Physical Review E 108 (4), 044139, 2023
5 2023 Tight Lower Bounds for -Divergences Under Moment Constraints and Relations Between Different T Nishiyama
arXiv preprint arXiv:2105.12972, 2021
4 2021 Cram\'{e} r-Rao-type Bound and Stam's Inequality for Discrete Random Variables T Nishiyama
arXiv preprint arXiv:1904.12704, 2019
4 2019 Thermodynamic-kinetic uncertainty relation: properties and an information-theoretic interpretation T Nishiyama
arXiv preprint arXiv:2207.08496, 2022
3 2022 Convex optimization on functionals of probability densities T Nishiyama
arXiv preprint arXiv:2002.06488, 2020
3 2020 Exact solution to quantum dynamical activity T Nishiyama, Y Hasegawa
Physical Review E 109 (4), 044114, 2024
2 2024 Trade-off relations in open quantum dynamics via Robertson and Maccone-Pati uncertainty relations T Nishiyama, Y Hasegawa
arXiv preprint arXiv:2402.09680, 2024
2 2024 Effective estimation of entropy production with lacking data M Baiesi, G Falasco, T Nishiyama
arXiv preprint arXiv:2305.04657, 2023
2 2023 On Relations Between Tight Bounds for Symmetric -Divergences and Binary Divergences T Nishiyama
arXiv preprint arXiv:2210.09571, 2022
2 2022 Minimization problems on strictly convex divergences T Nishiyama
arXiv preprint arXiv:2001.01079, 2020
2 2020 Monotonically decreasing sequence of divergences T Nishiyama
arXiv preprint arXiv:1910.00402, 2019
2 2019 Concentration inequalities, dynamical activity, and trade-off relations Y Hasegawa
arXiv preprint arXiv:2402.12197, 2024
1 2024 Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions T Nishiyama
arXiv preprint arXiv:2212.05820, 2022
1 2022 Divergence Network: Graphical calculation method of divergence functions T Nishiyama
arXiv preprint arXiv:1810.12794, 2018
1 2018 Sum decomposition of divergence into three divergences T Nishiyama
arXiv preprint arXiv:1810.01720, 2018
1 2018 Improved Chebyshev inequality: new probability bounds with known supremum of PDF T Nishiyama
arXiv preprint arXiv:1808.10770, 2018
1 2018