Deep Ridgelet Transform: Voice with Koopman Operator Proves Universality of Formal Deep Networks

We identify hidden layers inside a deep neural network (DNN) with group actions on the data domain, and formulate a formal deep network as a dual voice transform with respect to the Koopman operator, a linear representation of the group action. Based on the group theoretic arguments, particularly by using Schur's lemma, we show a simple proof of the universality of DNNs.Comment: NeurReps 202

The young adults feelings after losing their parents to cancer in adolescence : a study based on the written records of the young adults fight against cancer

目的；青年期にがんで親を亡くした人の死別後の気持ちをあきらかにする． 方法；闘病記より，青年期にがんで親を亡くした人の死別後の気持ちが表現されている言動を，逐語録化し分析した．具体的には，前後の文脈と表現された言語の意味をコード化しカテゴリー化した． 結果；４つのカテゴリー，すなわち，１．親の死を受け止められない，２．親との生活を振り返る，３．進路や人生観が変化する，４．親のいない生活への適応，を抽出した．なお，それぞれのカテゴリーには複数のサブカテゴリーで構成されていた． 青年期に親と死別した人の気持ちは，学校（高校など）でも家でも感情の板挟みとなって葛藤を繰り返し，誰にも打ち明けられずに孤独に耐える．しかし，生前の親との時間や親の生きざまを想察することで，死と向き合い始める．また，その後の進路や人生観の変化も，生前の親からの学びが，対象者の気持ちに影響を及ぼしている．Objective : The Objective of this study identified the feeding of young adults after they lost their parents who died of cancer. Methods : Some of the young adult of these parents had recorded their fight against cancer in their own way, and we first extracted from their records the parts in which their feelings following their parents’ death were written down or the parts in which their feelings about their parents’ death were hinted in the form of what they said or did. We then transcribed these parts word for word, and made an analysis of them. Results : We have found that these parts consist of four categories ： １） being unable to accept their parents’ death, ２） looking back on the life they led with their parents, ３） the change of their career or their outlook on life, and ４） adapting to the life in which their parents no longer exist. Each category comprises more than one subcategory. Conclusions : It is important for nurses to understand and support the complicated feelings of those young adult whose parents died in young adult. It can be an effective suggestion in influencing the mental attitude the oung adult assume following their parents’ death

Spectral evolution of GRB 060904A observed with Swift and Suzaku -- Possibility of Inefficient Electron Acceleration

We observed an X-ray afterglow of GRB 060904A with the Swift and Suzaku satellites. We found rapid spectral softening during both the prompt tail phase and the decline phase of an X-ray flare in the BAT and XRT data. The observed spectra were fit by power-law photon indices which rapidly changed from $\Gamma = 1.51^{+0.04}_{-0.03}$ to $\Gamma = 5.30^{+0.69}_{-0.59}$ within a few hundred seconds in the prompt tail. This is one of the steepest X-ray spectra ever observed, making it quite difficult to explain by simple electron acceleration and synchrotron radiation. Then, we applied an alternative spectral fitting using a broken power-law with exponential cutoff (BPEC) model. It is valid to consider the situation that the cutoff energy is equivalent to the synchrotron frequency of the maximum energy electrons in their energy distribution. Since the spectral cutoff appears in the soft X-ray band, we conclude the electron acceleration has been inefficient in the internal shocks of GRB 060904A. These cutoff spectra suddenly disappeared at the transition time from the prompt tail phase to the shallow decay one. After that, typical afterglow spectra with the photon indices of 2.0 are continuously and preciously monitored by both XRT and Suzaku/XIS up to 1 day since the burst trigger time. We could successfully trace the temporal history of two characteristic break energies (peak energy and cutoff energy) and they show the time dependence of $\propto t^{-3} \sim t^{-4}$ while the following afterglow spectra are quite stable. This fact indicates that the emitting material of prompt tail is due to completely different dynamics from the shallow decay component. Therefore we conclude the emission sites of two distinct phenomena obviously differ from each other.Comment: 19 pages, 9 figures, accepted for publication in PASJ (Suzaku 2nd Special Issue

Comparison of nitrate content and antioxidant capacity in beetroot juice made in Japan and the UK

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Recent Advances in the Treatment of Colorectal Cancer: A Review

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Beneficial Effects of Dietary Nitrite on a Model of Nonalcoholic Steatohepatitis Induced by High-Fat/High-Cholesterol Diets in SHRSP5/Dmcr Rats: A Preliminary Study

Nonalcoholic steatohepatitis (NASH) is a chronic liver disease that leads to liver cirrhosis and hepatocellular carcinoma. Endothelial dysfunction caused by hepatic lipotoxicity is an underlying NASH pathology observed in the liver and the cardiovascular system. Here, we evaluated the effect of dietary nitrite on a rat NASH model. Stroke-prone, spontaneously hypertensive 5/Dmcr rats were fed a high-fat/high-cholesterol diet to develop the NASH model, with nitrite or captopril (100 mg/L, each) supplementation in drinking water for 8 weeks. The effects of nitrite and captopril were evaluated using immunohistochemical analyses of the liver and heart tissues. Dietary nitrite suppressed liver fibrosis in the rats by reducing oxidative stress, as measured using the protein levels of nicotinamide adenine dinucleotide phosphate oxidase components and inflammatory cell accumulation in the liver. Nitrite lowered the blood pressure in hypertensive NASH rats and suppressed left ventricular chamber enlargement. Similar therapeutic effects were observed in a captopril-treated rat NASH model, suggesting the possibility of a common signaling pathway through which nitrite and captopril improve NASH pathology. In conclusion, dietary nitrite attenuates the development of NASH with cardiovascular involvement in rats and provides an alternative NASH therapeutic strategy