Neural Tangent Kernels and Fisher Information Matrices for Simple ReLU Networks with Random Hidden Weights.

Hiroshi Nagaoka

Jun'ichi Takeuchi Yoshinari Takeishi Noboru Murata Kazushi Mimura Ka Long Keith Ho Hiroshi Nagaoka Neural Tangent Kernels and Fisher Information Matrices for Simple ReLU Networks with Random Hidden Weights. 2025 July abs/2507.18555 CoRR https://doi.org/10.48550/arXiv.2507.18555 db/journals/corr/corr2507.html#abs-2507-18555 streams/journals/corr

Hiroshi Nagaoka The Fisher metric as a metric on the cotangent bundle. 2023 abs/2310.13237 CoRR https://doi.org/10.48550/arXiv.2310.13237 db/journals/corr/corr2310.html#abs-2310-13237

Hiroshi Nagaoka Information-geometrical characterization of statistical models which are statistically equivalent to probability simplexes. 1346-1350 2017 ISIT https://doi.org/10.1109/ISIT.2017.8006748 conf/isit/2017 db/conf/isit/isit2017.html#Nagaoka17 Jun'ichi Takeuchi Hiroshi Nagaoka Information geometry of the family of Markov kernels defined by a context tree. 429-433 2017 ITW https://doi.org/10.1109/ITW.2017.8278008 conf/itw/2017 db/conf/itw/itw2017.html#TakeuchiN17

Hiroshi Nagaoka The exponential family of Markov chains and its information geometry. 2017 abs/1701.06119 CoRR http://arxiv.org/abs/1701.06119 db/journals/corr/corr1701.html#Nagaoka17

Hiroshi Nagaoka Information-geometrical characterization of statistical models which are statistically equivalent to probability simplexes. 2017 abs/1701.07736 CoRR http://arxiv.org/abs/1701.07736 db/journals/corr/corr1701.html#Nagaoka17a

Hiroshi Nagaoka A characterization of statistical manifolds on which the relative entropy is a Bregman divergence. 1656-1659 2016 ISIT https://doi.org/10.1109/ISIT.2016.7541580 conf/isit/2016 db/conf/isit/isit2016.html#Nagaoka16 Mitsuharu Arimura Hiroshi Nagaoka A two-step universal VV code using an asymptotically sufficient statistic extracted from a VF code. 6-10 2016 ISITA https://ieeexplore.ieee.org/document/7840375/ conf/isita/2016 db/conf/isita/isita2016.html#ArimuraN16

Takuya Kubo Hiroshi Nagaoka A Fundamental Inequality for Lower-Bounding the Error Probability for Classical and Classical-Quantum Multiple Access Channels and Its Applications. 2376-2383 2015 98-A IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 12 https://doi.org/10.1587/transfun.E98.A.2376 http://search.ieice.org/bin/summary.php?id=e98-a_12_2376 db/journals/ieicet/ieicet98a.html#KuboN15

Takuya Kubo Hiroshi Nagaoka A Fundamental Inequality for Lower-bounding the Error Probability for Classical and Quantum Multiple Access Channels and Its Applications. 2015 abs/1503.06914 CoRR http://arxiv.org/abs/1503.06914 db/journals/corr/corr1503.html#KuboN15

Sota Shimizu Takumi Kadogawa Masayuki Naito Takumi Hashizume Hiroki Kusano Hiroshi Nagaoka Nobuyuki Hasebe Yoshiaki Tanzawa A study on color information corrected in human brain - Measurement and evaluation of color propagation. 5230-5235 2014 IECON https://doi.org/10.1109/IECON.2014.7049297 conf/iecon/2014 db/conf/iecon/iecon2014.html#ShimizuKNHKNHT14 Sota Shimizu Nobuyuki Hasebe Kazutaka Nakamura Hiroki Kusano Hiroshi Nagaoka Kyeong Ja Kim Yi Re Choi Eung Seok Yi Multi-purpose wide-angle vision system for remote control of planetary exploring rover. 5260-5265 2014 IECON https://doi.org/10.1109/IECON.2014.7049302 conf/iecon/2014 db/conf/iecon/iecon2014.html#ShimizuHNKNKCY14

Ningping Sun Soichiro Murakami Hiroshi Nagaoka Takuya Shigemoto A correction algorithm for stereo matching with general digital cameras and web cameras. 169-184 2013 3 Int. J. Space Based Situated Comput. 3 https://doi.org/10.1504/IJSSC.2013.056408 db/journals/ijssc/ijssc3.html#SunMNS13

Takuya Kubo Hiroshi Nagaoka Lower bounds on the error probability in classical and quantum state discrimination. 299-302 2012 ISITA https://ieeexplore.ieee.org/document/6400940/ conf/isita/2012 db/conf/isita/isita2012.html#KuboN12 Ningping Sun Hiroshi Nagaoka Takuya Shigemoto A Correction Algorithm for Stereo Matching with Web Cameras. 543-548 2011 BWCCA https://doi.org/10.1109/BWCCA.2011.88 https://doi.ieeecomputersociety.org/10.1109/BWCCA.2011.88 conf/bwcca/2011 db/conf/bwcca/bwcca2011.html#SunNS11

Hiroshi Nagaoka Masahito Hayashi An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses. 534-549 2007 53 IEEE Trans. Inf. Theory 2 https://doi.org/10.1109/TIT.2006.889463 db/journals/tit/tit53.html#NagaokaH07

Tomohiro Ogawa Hiroshi Nagaoka Making Good Codes for Classical-Quantum Channel Coding via Quantum Hypothesis Testing. 2261-2266 2007 53 IEEE Trans. Inf. Theory 6 https://doi.org/10.1109/TIT.2007.896874 db/journals/tit/tit53.html#OgawaN07

Hiroshi Nagaoka Some Mathematical Problems Related to Quantum Hypothesis Testing. 1100-1103 2006 conf/gtitc/2006 GTIT-C https://doi.org/10.1007/11889342_81 db/conf/gtitc/gtitc2006.html#Nagaoka06 Mitsuharu Arimura Hiroshi Nagaoka An extension of asymptotically sufficient statistic method for pointwise strong universality. 505-509 2005 ISIT https://doi.org/10.1109/ISIT.2005.1523386 conf/isit/2005 db/conf/isit/isit2005.html#ArimuraN05

Masahito Hayashi Hiroshi Nagaoka General formulas for capacity of classical-quantum channels. 1753-1768 2003 49 IEEE Trans. Inf. Theory 7 db/journals/tit/tit49.html#HayashiN03 https://doi.org/10.1109/TIT.2003.813556

Tomohiro Ogawa Hiroshi Nagaoka Strong converse and Stein's lemma in quantum hypothesis testing. 2428-2433 2000 46 IEEE Trans. Inf. Theory 7 db/journals/tit/tit46.html#OgawaN00 https://doi.org/10.1109/18.887855 https://www.wikidata.org/entity/Q124815329

Tomohiro Ogawa Hiroshi Nagaoka Strong converse to the quantum channel coding theorem. 2486-2489 1999 45 IEEE Trans. Inf. Theory 7 db/journals/tit/tit45.html#OgawaN99 https://doi.org/10.1109/18.796386

Akio Fujiwara Hiroshi Nagaoka Operational Capacity and Pseudoclassicality of a Quantum Channel. 1071-1086 1998 44 IEEE Trans. Inf. Theory 3 db/journals/tit/tit44.html#FujiwaraN98 https://doi.org/10.1109/18.669165

Akiko Kato Te Sun Han Hiroshi Nagaoka Huffman coding with an infinite alphabet. 977-984 1996 42 IEEE Trans. Inf. Theory 3 db/journals/tit/tit42.html#KatoHN96 https://doi.org/10.1109/18.490559

Shun-ichi Amari Koji Kurata Hiroshi Nagaoka Information geometry of Boltzmann machines. 260-271 1992 3 IEEE Trans. Neural Networks 2 https://doi.org/10.1109/72.125867 https://www.wikidata.org/entity/Q45967702 db/journals/tnn/tnn3.html#AmariKN92

Hiroshi Nagaoka Yoshimi Monden Suguru Arimoto The continuous-time limit of the discrete-time stability theory. 269-272 1986 ICASSP https://doi.org/10.1109/ICASSP.1986.1169085 conf/icassp/1986 db/conf/icassp/icassp1986.html#NagaokaMA86 Shun-ichi Amari Suguru Arimoto Mitsuharu Arimura Yi Re Choi Akio Fujiwara Te Sun Han Nobuyuki Hasebe Takumi Hashizume Masahito Hayashi Ka Long Keith Ho Takumi Kadogawa Akiko Kato Kyeong J. KimKyeong Ja Kim Takuya Kubo Koji Kurata Hiroki Kusano Kazushi Mimura Yoshimi Monden Soichiro Murakami Noboru Murata Masayuki Naito Kazutaka Nakamura Tomohiro Ogawa Takuya Shigemoto Sota Shimizu Ningping Sun Yoshinari Takeishi Jun'ichi Takeuchi Yoshiaki Tanzawa Eung Seok Yi