Ultra accurate collaborative information filtering via directed user similarity

A key challenge of the collaborative filtering (CF) information filtering is how to obtain the reliable and accurate results with the help of peers' recommendation. Since the similarities from small-degree users to large-degree users would be larger than the ones opposite direction, the large-degree users' selections are recommended extensively by the traditional second-order CF algorithms. By considering the users' similarity direction and the second-order correlations to depress the influence of mainstream preferences, we present the directed second-order CF (HDCF) algorithm specifically to address the challenge of accuracy and diversity of the CF algorithm. The numerical results for two benchmark data sets, MovieLens and Netflix, show that the accuracy of the new algorithm outperforms the state-of-the-art CF algorithms. Comparing with the CF algorithm based on random-walks proposed in the Ref.7, the average ranking score could reach 0.0767 and 0.0402, which is enhanced by 27.3\% and 19.1\% for MovieLens and Netflix respectively. In addition, the diversity, precision and recall are also enhanced greatly. Without relying on any context-specific information, tuning the similarity direction of CF algorithms could obtain accurate and diverse recommendations. This work suggests that the user similarity direction is an important factor to improve the personalized recommendation performance.Comment: 6 pages, 4 figure

Modifications to holographic entanglement entropy in warped CFT

In arXiv:1601.02634 it was observed that asymptotic boundary conditions play an important role in the study of holographic entanglement beyond AdS/CFT. In particular, the Ryu-Takayanagi proposal must be modified for warped AdS$_3$ (WAdS$_3$) with Dirichlet boundary conditions. In this paper, we consider AdS$_3$ and WAdS$_3$ with Dirichlet-Neumann boundary conditions. The conjectured holographic duals are warped conformal field theories (WCFTs), featuring a Virasoro-Kac-Moody algebra. We provide a holographic calculation of the entanglement entropy and R\'{e}nyi entropy using AdS$_3$/WCFT and WAdS$_3$/WCFT dualities. Our bulk results are consistent with the WCFT results derived by Castro-Hofman-Iqbal using the Rindler method. Comparing with arXiv:1601.02634, we explicitly show that the holographic entanglement entropy is indeed affected by boundary conditions. Both results differ from the Ryu-Takayanagi proposal, indicating new relations between spacetime geometry and quantum entanglement for holographic dualities beyond AdS/CFT.Comment: 39 pages, 3 figures, published versio

Crystal structure of ethanol-bis(N-((5-(ethoxycarbonyl)-3,4-dimethyl-1H-pyrrol-2-yl)methylene)benzohydrazonato-κ2N,O)copper(II), C36H42N6O7Cu

Abstract C20H29N3O5, triclinic, P1̄ (no. 2), a = 8.482(6) Å, b = 15.272(12) Å, c = 15.285(12) Å, a = 112.024(11)°, β = 95.325(9)°, γ = 98.958(9)°, V = 1788(2) Å3, Z = 2, R gt(F) = 0.0570, wR ref(F 2) = 0.1687, T = 296(2) K

Case report: JAKi and TNFi dual therapy is a potential treatment strategy for difficult-to-treat rheumatoid arthritis

Rheumatoid arthritis (RA) is a heterogeneous chronic disease. RA patients should start disease modifying anti-rheumatic drugs (DMARDs) therapy immediately after diagnosis. If first-line treatment with conventional synthetic DMARDs does not relieve the disease, biology and targeted synthetic DMARDs are options for patients. Patients can switch to different types of biological and targeted synthetic DMARDs if remission is not achieved. However, for patients with difficult-to-treat RA, achieving disease stabilization after the failure of multiple biological and targeted synthetic DMARDs is a clinical challenge that needs to be addressed. As distinct cytokine pathways, the benefits and challenges of dual therapy are worth discussing. As the most extensively used biologic DMARDs, adalimumab is an anti-tumor necrosis factor monoclonal antibody used to treat RA. Tofacitinib, as a Janus Kinase inhibitor, is an orally administered targeted synthetic DMARDs that involved in the regulation of immune responses by directly or indirectly inhibiting cytokine pathways. This report describes a successful case of a 48-year-old woman with difficult-to-treat RA who treated with Tofacitinib combined with adalimumab. She had been on glucocorticosteroid for a long time, but had persistent joint pain and fatigue. At more than one year of follow-up, her Disease Activity Score for 28-joint counts based on the erythrocyte sedimentation rate (DAS28-ESR) remained in complete remission, and she discontinued her glucocorticosteroid medications. Also, she did not develop a mycobacterial tuberculosis infection, herpes zoster, and new-onset cardiovascular events

Experimental realization of universal high-dimensional quantum gates with ultra-high fidelity and efficiency

Qudit, a high-dimensional quantum system, provides a larger Hilbert space to process the quantum information and has shown remarkable advantages over the qubit counterparts. It is a great challenge to realize the high fidelity universal quantum gates with qudits. Here we theoretically propose and experimentally demonstrate a set of universal quantum gates for a single optical qudit with four dimensions (including the generalized Pauli $X_4$ gate, Pauli $Z_4$ gate, and all of their integer powers), which are encoded in the polarization-spatial degree of freedom without multiple unstable cascaded interferometers. Furthermore, we also realize the controlled-$X_4$ gate and all of its integer powers. We have achieved both the ultra-high average gate fidelity $99.73\%$ and efficiency $99.47\%$, which are above the the error threshold for fault-tolerant quantum computation. Our work paves a way for the large-scale high-dimensional fault-tolerant quantum computation with a polynomial resource cost