Submanifolds with boundary and corners in Delzant polytopes associated to affine subspaces

In the previous paper, we studied the compactification of a complex subtorus given from an affine subspace in $\mathfrak{t}^{n} \cong \mathbb{R}^{n}$ to a toric manifold. If the compactification of the complex subtorus is a smooth complex submanifold in the toric manifold, then we called such submanifold a torus-equivalently embedded toric manifold with respect to the subtorus action determined by the data of the affine subspace. In this paper, we construct certain submanifolds with boundary and corners in a Delzant polytope of the toric manifold from the affine subspaces and show that the conditions for such submanifolds with boundary are equivalent to those for torus-equivalently embedded toric manifolds.Comment: 32 pages, 6 figures. This is the second half of arXiv:2306.15312. This changes the title and introduction, corrects some technical issues, but no improvement in the main theore

Toric Submanifolds associated to affine subspaces and SYZ Mirror Symmetry

We study Strominger-Yau-Zaslow mirror symmetry for toric manifolds from the viewpoint of complex submanifolds. Inspired by Yamamoto's work on the semi-flat case, we develop certain submanifolds in toric manifolds from affine subspaces in $\mathbb{R}^{n}$ and show that such submanifolds are toric. We further show that the mirror partner of toric submanifolds is a submanifold with boundary and corners in a Delzant polytope of the toric manifold.Comment: 48 pages, 20 figure

Effect of amino acids and amino acid derivatives on crystallization of hemoglobin and ribonuclease A

The effect of the addition of amino acids and amino acid derivatives on the crystallization of hemoglobin and ribonuclease A has been evaluated. The results showed that certain types of additives expand the concentration conditions in which crystals are formed

Superradical Hysterectomy for Cervical Cancer as an Alternative to the Usual Okabayashi-Type Radical Hysterectomy

Radical hysterectomy is a standard operation for invasive cervical cancers. However, if the invasion to the parametrium is more advanced than estimation in the operation, it is difficult to perform usual radical hysterectomy. Superradical hysterectomy was developed by Prof. Ryukichi Mibayashi of Kyoto University and was published in 1941, and has been performed for the limited cases by a part of Japanese gynecologic surgeons. Superradical hysterectomy is a procedure in which the soft tissues in the pelvis are removed en bloc by sequential processing of the internal iliac vessels, which leads to a complete dissection of the lymphatic tissue in the pelvis to the pelvic wall

Switching One-Versus-the-Rest Loss to Increase the Margin of Logits for Adversarial Robustness

Adversarial training is a promising method to improve the robustness against adversarial attacks. To enhance its performance, recent methods impose high weights on the cross-entropy loss for important data points near the decision boundary. However, these importance-aware methods are vulnerable to sophisticated attacks, e.g., Auto-Attack. In this paper, we experimentally investigate the cause of their vulnerability via margins between logits for the true label and the other labels because they should be large enough to prevent the largest logit from being flipped by the attacks. Our experiments reveal that the histogram of the logit margins of na\"ive adversarial training has two peaks. Thus, the levels of difficulty in increasing logit margins are roughly divided into two: difficult samples (small logit margins) and easy samples (large logit margins). On the other hand, only one peak near zero appears in the histogram of importance-aware methods, i.e., they reduce the logit margins of easy samples. To increase logit margins of difficult samples without reducing those of easy samples, we propose switching one-versus-the-rest loss (SOVR), which switches from cross-entropy to one-versus-the-rest loss (OVR) for difficult samples. We derive trajectories of logit margins for a simple problem and prove that OVR increases logit margins two times larger than the weighted cross-entropy loss. Thus, SOVR increases logit margins of difficult samples, unlike existing methods. We experimentally show that SOVR achieves better robustness against Auto-Attack than importance-aware methods.Comment: 25 pages, 18 figure

Student-Project-Resource Matching-Allocation Problems: Game Theoretic Analysis

In this work, we consider a three sided student-project-resource matching-allocation problem, in which students have preferences on projects, and projects on students. While students are many-to-one matched to projects, indivisible resources are many-to-one allocated to projects whose capacities are thus endogenously determined by the sum of resources allocated to them. Traditionally, this problem is divided into two separate problems: (1) resources are allocated to projects based on some expectations (resource allocation problem), and (2) students are matched to projects based on the capacities determined in the previous problem (matching problem). Although both problems are well-understood, unless the expectations used in the first problem are correct, we obtain a suboptimal outcome. Thus, it is desirable to solve this problem as a whole without dividing it in two. In this paper, we first show that a stable (i.e., fair and nonwasteful) matching does not exist in general (nonwastefulness is a criterion related to efficiency). Then, we show that no strategyproof mechanism satisfies fairness and very weak efficiency requirements. Given this impossibility result, we develop a new strategyproof mechanism that strikes a good balance between fairness and efficiency, which is assessed by experiments

Acanthamoeba containing endosymbiotic chlamydia isolated from hospital environments and its potential role in inflammatory exacerbation

Background: Environmental chlamydiae belonging to the Parachlamydiaceae are obligate intracellular bacteria that infect Acanthamoeba, a free-living amoeba, and are a risk for hospital-acquired pneumonia. However, whether amoebae harboring environmental chlamydiae actually survive in hospital environments is unknown. We therefore isolated living amoebae with symbiotic chlamydiae from hospital environments. Results: One hundred smear samples were collected from Hokkaido University Hospital, Sapporo, Japan; 50 in winter (February to March, 2012) and 50 in summer (August, 2012), and used for the study. Acanthamoebae were isolated from the smear samples, and endosymbiotic chlamydial traits were assessed by infectivity, cytokine induction, and draft genomic analysis. From these, 23 amoebae were enriched on agar plates spread with heatkilled Escherichia coli. Amoeba prevalence was greater in the summer-collected samples (15/30, 50%) than those of the winter season (8/30, 26.7%), possibly indicating a seasonal variation (p = 0.096). Morphological assessment of cysts revealed 21 amoebae (21/23, 91%) to be Acanthamoeba, and cultures in PYG medium were established for 11 of these amoebae. Three amoebae contained environmental chlamydiae; however, only one amoeba (Acanthamoeba T4) with an environmental chlamydia (Protochlamydia W-9) was shown the infectious ability to Acanthamoeba C3 (reference amoebae). While Protochlamydia W-9 could infect C3 amoeba, it failed to replicate in immortal human epithelial, although exposure of HEp-2 cells to living bacteria induced the proinflammatory cytokine, IL-8. Comparative genome analysis with KEGG revealed similar genomic features compared with other Protochlamydia genomes (UWE25 and R18), except for a lack of genes encoding the type IV secretion system. Interestingly, resistance genes associated with several antibiotics and toxic compounds were dentified. Conclusion: These findings are the first demonstration of the distribution in a hospital of a living Acanthamoeba carrying an endosymbiotic chlamydial pathogen