Restricted Set Research Articles

Randomness and early termination: What makes a game exciting?

AbstractIn this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the spectators? Our construction is based on the detailed study of a terminal-boundary value problem for the nonlinear parabolic PDE $$2\partial _t e(t,x)= \log (-\partial _{xx}e(t,x))$$ 2 ∂ t e ( t , x ) = log ( - ∂ xx e ( t , x ) ) derived by Aldous. We prove its wellposedness and regularity of its solution by combining PDE analysis and probabilistic tools, in particular the reformulation as a stochastic control problem with restricted control set, which allows us to deduce strict ellipticity. We establish key qualitative properties of the solution including concavity, monotonicity, convergence to a steady state for long remaining time and the asymptotic behaviour shortly before the terminal time. Moreover, we construct convergent numerical approximations. The analytical and numerical results allow us to characterise the max-entropy win-probability martingale and to highlight the behaviour of this process in the present case where the match may end early, in contrast to recent work by Backhoff-Veraguas and Beiglböck where the match always runs the full length.

Proportional-Navigation-Based All-Aspect Approach Against Nonmaneuvering Target Using Phase-Plane Trajectory Shaping

Approaching a target from a desired heading is crucial for various modern applications. Existing literature mostly addresses terminal angle-constrained guidance for stationary targets, which also includes strategies for achieving the entire angular spectrum (all-aspect approach). However, existing strategies against moving targets can achieve only a restricted set of terminal angles. To this end, this paper presents a proportional-navigation-based multiphase guidance strategy against a nonmaneuvering target, moving at a lower speed than the pursuer, with any desired terminal angle in 2-D, by shaping the trajectory on an angular phase plane. First, a generalized version of the two-phase guidance scheme is presented for achieving terminal angles in one half-space. This is subsequently extended to attaining any desired terminal angle in the other half-space by using an additional phase for line-of-sight rotation reversal. By shaping the angular phase-plane trajectory, the pursuer’s field-of-view constraint is also seamlessly incorporated in the guidance formulation. Further, an all-aspect approach in a 3-D environment is achieved by splitting the entire 3-D engagement into two planar engagement phases and employing the developed planar guidance on each engagement plane. The performance of the developed guidance strategies is validated through extensive numerical simulations considering first-order lag and lateral acceleration limits.

Hotspots in peril: Misalignment of conservation efforts and ecological values in a shallow coastal sea

Abstract Misalignment between the location of marine protected areas (MPAs) and ecologically valuable areas, here defined as low conservation conformity, may arise due to conflicting socioeconomic and ecological demands, diminishing MPA effectiveness. Such conflicts are especially found in coastal areas with high human population density and high natural productivity. Here, we aim to provide a framework to quantitatively and qualitatively assess conservation conformity using multiple indicators to identify hotspots of ecological quality. We use the subtidal Dutch Wadden Sea as a case study due to its unique natural, cultural, and economic values and the availability of high‐resolution spatial data. We focus on macrozoobenthic communities (larger animals living in and on the seafloor), a vital group experiencing significant ecological degradation due to a long history of human activity. A complex set of restrictions has been implemented to prevent further macrozoobenthos degradation and to stimulate recovery. We first spatially overlay and translate the different protection measures to international standards. We then determine hotspots of ecological quality based on nationally and internationally used indicators of biodiversity and seafloor status and map their overlap with protected areas. We found that in 2024, 37% of the 134,466 ha subtidal Dutch Wadden Sea has some level of protection. However, due to the poor spatial overlap of implemented measures, the IUCN‐based guidelines would classify only 10% as an MPA, while only 2% of the subtidal is truly free of human bottom‐disturbing activities. Of this total subtidal area, 19% was classified as an ecological hotspot based on multiple indicators. However, the protection measures in place overlapped very poorly with these ecological hotspots. Overall, only in 2% of the total subtidal area, IUCN‐classified MPAs overlapped with locations identified as ecological hotspots for at least six indicators, indicating poor overlap of MPAs with ecological hotspots. Because the whole Wadden Sea is subject to several international protection schemes (e.g. Natura 2000, OSPAR convention, Ramsar Convention, and UNESCO World Heritage), these results call for substantial adjustment of the current conservation layout. We thus emphasise the importance of quantitatively evaluating potential misalignment between protected areas and ecologically valuable areas in coastal zones. Read the free Plain Language Summary for this article on the Journal blog.

Genomics of a sexually selected sperm ornament and female preference in Drosophila.

Our understanding of animal ornaments and the mating preferences driving their exaggeration is limited by knowledge of their genetics. Post-copulatory sexual selection is credited with the rapid evolution of female sperm-storage organ morphology and corresponding sperm quality traits across diverse taxa. In Drosophila, the mechanisms by which longer flagella convey an advantage in the competition among sperm for limited storage space in the female, and by which female sperm-storage organ morphology biases fertilization in favour of longer sperm have been resolved. However, the evolutionary genetics underlying this model post-copulatory ornament and preference system have remained elusive. Here we combined comparative analyses of 149 Drosophila species, a genome-wide association study in Drosophila melanogaster and molecular evolutionary analysis of ~9,400 genes to elucidate how sperm and female sperm-storage organ length co-evolved into one of nature's most extreme ornaments and preferences. Our results reveal a diverse repertoire of pleiotropic genes linking sperm length and seminal receptacle length expression to central nervous system development and sensory biology. Sperm length development appears condition-dependent and is governed by conserved hormonal (insulin/insulin-like growth factor) and developmental (including Notch and Fruitless) pathways. Central developmental pathway genes, including Notch, also comprised the majority of a restricted set of genes contributing to both intraspecific and interspecific variation in sperm length. Our findings support 'good genes' models of female preference evolution.

Multi-layer controlled remote implementation of partially unknown single-qudit operations

Our concern is to investigate controlled remote implementation of partially unknown operations with multiple layers. We first propose a scheme to realize the remote implementation of single-qubit operations belonging to the restricted sets. Then, the proposed scheme is extended to the case of single-qudit operations. As long as the controller and the higher-layer senders consent, the receiver can restore the desired state remotely operated by the sender. It is worth mentioning that the recovery operation is deduced by general formulas which clearly reveal the relationship with the measurement outcomes. For the sake of clarity, two specific examples with two levels are given respectively. In addition, we discuss the influence of amplitude-damping noise and utilize weak measurement and measurement reversal to effectively resist noise.

Estimating the Social Visibility of Abortions in Uganda and Ethiopia Using the Game of Contacts.

Social network-based data collection methods that rely on third-party reporting have emerged as a promising approach for measuring abortion in restrictive settings. In order for these methods to accurately measure abortion incidence, they must also assess the visibility of abortions within social networks. Failure to do so may result in estimates affected by transmission bias, caused by imperfect knowledge of all abortions within one's social network. In this paper, we present exploratory research that uses respondent-driven sampling (RDS) and the game of contacts method to measure abortion visibility in four sites in Uganda and Ethiopia. We assess the existence of potential biases in the game of contacts estimate of abortion visibility in each site by conducting several internal and external validity tests. While these tests provided some promising results, other factors such as the representativeness of the RDS samples, direct versus indirect abortion knowledge transfers, and the generalizability of the study sites may have introduced biases into the final estimates of abortion visibility in this study. We conclude by making recommendations on how applications of this methodology could be improved to better estimate abortion-related transmission bias.

A Data-Driven Model for Rapid CII Prediction

The shipping industry plays a crucial role in global trade, but it also contributes significantly to environmental pollution, particularly in regard to carbon emissions. The Carbon Intensity Indicator (CII) was introduced with the objective of reducing emissions in the shipping sector. The lack of familiarity with the carbon performance is a common issue among vessel operator. To address this aspect, the development of methods that can accurately predict the CII for ships is of paramount importance. This paper presents a novel and simplified approach to predicting the CII for ships, which makes use of data-driven modelling techniques. The proposed method considers a restricted set of parameters, including operational data (draft and speed) and environmental conditions, such as wind speed and direction, to provide an accurate prediction of the CII factor. This approach extends the state of research by applying Deep Neural Networks (DNNs) to provide an accurate CII prediction with a deviation of less than 6% over a considered time frame consisting of different operating states (cruising and maneuvering mode). The result is achieved by using a limited amount of training data, which enables ship owners to obtain a rapid estimation of their yearly rating prior to receiving the annual CII evaluation.

Impact of pandemic-driven online education on student evaluation scores: A comparative study in natural sciences

ABSTRACT The COVID-19 pandemic necessitated the adoption of online systems by educational institutions for infection control. The widespread implementation of online systems presented an opportunity to assess the impact of online education. However, research into the perceptions of students who directly experienced these changes remained relatively underexplored. This study conducted a comparative analysis of student evaluation of teaching scores (SET) before and after the pandemic to examine the impact of accelerated online system adoption on student satisfaction. This study employed a quantitative research design, utilising Ordinary Least Squares regression for the analysis. The analysis utilised SET data from 49,201 students enrolled in the College of Natural Sciences of a top-ranking university in South Korea from 2018 to 2020. The results showed that theory courses that emphasised information delivery demonstrated minimal changes in evaluation scores. By contrast, laboratory courses requiring direct student engagement and controlled environments demonstrated decreased scores. Notably, mathematics, with a conducive online learning environment for laboratory courses, exhibited improved post-pandemic evaluations. Furthermore, the student evaluation of teaching scores decreased in chemistry classes that require restricted laboratory settings. These findings highlight the importance of considering instructional characteristics when integrating modern technologies into educational systems to effectively replace traditional lectures.

Home Healthcare Staffing, Routing, and Scheduling Problem With Multiple Shifts and Emergency Considerations

ABSTRACTEffective planning of human resources is critical in designing an efficient home healthcare system. In this study, we present a novel home healthcare staffing, routing, and scheduling problem inspired by a real‐world application. The proposed problem addresses a set of patients, with varying daily visit requirements, being served by a set of caregivers with different qualification levels over a multi‐day multi‐shift planning horizon. The problem aims to minimize the number of extra shifts for caregivers, maximize the allocation of caregivers to emergencies, and minimize the sum of route durations over the planning horizon. These objectives are optimized hierarchically while considering a set of restrictions, including time windows, skill matching, synchronization, care continuity, and labor regulations. To tackle the problem, we introduce a mixed‐integer linear programming model. The model is then extended and two sets of valid inequalities are incorporated to enhance its tightness. Computational experiments are conducted on a set of 20 instances. The results highlight the efficiency of the proposed extension in increasing both the number of instances that can be solved to optimality and the number of instances for which a feasible solution is found.

Right-angled links in thickened surfaces

Traditionally, alternating links are studied with alternating diagrams on S2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$S^2$$\\end{document} in S3\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$S^3$$\\end{document}. In this paper, we consider links which are alternating on higher genus surfaces F in thickened surface F×I\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$F \ imes I$$\\end{document}. We define what it means for such a link to be right-angled generalized completely realizable (RGCR) and show that this property is equivalent to the link having two totally geodesic checkerboard surfaces, equivalent to each checkerboard surface consisting of one type of polygon, and equivalent to a set of restrictions on the link’s alternating projection diagram. We then use these diagram restrictions to classify RGCR links according to the polygons in their checkerboard surfaces, provide a bound on the number of RGCR links for a given surface of genus g, and find a right-angled knot in a thickened surface. Along the way, we answer a question posed by Champanerkar, Kofman, and Purcell about links with alternating projections on the torus.

Targeting the aminopeptidase ERAP enhances antitumor immunity by disrupting the NKG2A-HLA-E inhibitory checkpoint.

The aminopeptidase, endoplasmic reticulum aminopeptidase 1 (ERAP1), trims peptides for loading into major histocompatibility complex class I (MHC class I), and loss of this activity has broad effects on the MHC class I peptidome. Here, we investigated the impact of targeting ERAP1 in immune checkpoint blockade (ICB), as MHC class I interactions mediate both activating and inhibitory functions in antitumor immunity. Loss of ERAP sensitized mouse tumor models to ICB, and this sensitivity depended on CD8+ Tcells and natural killer (NK) cells. Invivo suppression screens revealed that Erap1 deletion inactivated the inhibitory NKG2A-HLA-E checkpoint, which requires presentation of a restricted set of invariant epitopes (VL9) on HLA-E. Loss of ERAP altered the HLA-E peptidome, preventing NKG2A engagement. In humans, ERAP1 and ERAP2 showed functional redundancy for the processing and presentation of VL9, and loss of both inactivated the NKG2A checkpoint in cancer cells. Thus, loss of ERAP phenocopies the inhibition of the NKG2A-HLA-E pathway and represents an attractive approach to inhibit this critical checkpoint.

Timing and origin of the Lomagundi-Jatuli Event: Insights from U[sbnd]Pb geochronology, C-O-Fe isotopes and REE compositions from the Jingshan Group, North China Craton

The Lomagundi-Jatuli Event (LJE) represents perhaps the largest and longest positive carbon isotope excursion of Earth history. However, the synchroneity, scale, and linkage of the LJE to Earth's early history of atmospheric oxygenation remain controversial. Strata of the Paleoproterozoic Jingshan Group of the North China Craton that preserve the isotopic record of the LJE excursion in marble layers and abundant graphite deposits provide an opportunity to elucidate the significance of the LJE. Carbon isotopic values (δ13CV-PDB) of the LJE based on analysis of 20 samples of the Lugezhuang Formation, lower Jingshan Group, range from −0.8 to +9.6 ‰ and display positive co-variance with stable oxygen isotope values (δ18OV-PDB). The positive carbon isotope excursion is constrained to 2140.6 ± 8.5 Ma (MSWD = 0.82, n = 25) based on magmatic zircon UPb geochronology of biotite granulite. Variation of facies-dependent carbon isotope values, the presence of graphite deposits of the Douya Formation, upper Jingshan Group, and the absence of a Ce anomaly in PAAS normalized REE patterns of marble samples suggest that the positive carbon isotope excursion is not linked to a marked increase of organic carbon burial and associated significant atmosphere oxygenation. Elevated concentrations of iron and PAAS-normalized middle REE enrichment of analyzed Jingshan Group marble samples point to anoxic and ferruginous oceanic conditions during accumulation of Jingshan Group carbonate. A positive Eu anomaly (average = 1.58), low La (average = 0.23), (Nd/Yb)N (average = 1.27), and Y/Ho (average = 36.6) anomalies, and negative iron isotope values (average δ56Fe = −0.12 ‰) are consistent with accumulation of Paleoproterozoic Jingshan Group carbonate in a restricted marine setting that was affected by high temperature hydrothermal fluids. Enrichment of the studied samples in heavy carbon isotope suggests elevated bio-productivity in the restricted, redox stratified marine setting in which Jingshan Group carbonate accumulated. Thus, it is likely that the positive stable carbon isotope excursion associated with Jingshan Group strata as well as other contemporaneous isotope excursions are local signals that are linked to a global perturbation of the carbon cycle.

Design, Synthesis, and Activity of a Novel Series of Pyridazine-Based ALK5 Inhibitors.

ALK5 inhibitors represent an attractive therapeutic approach for the treatment of a variety of pathologies, including cancer and fibrosis. Herein, we report the design and in vitro characterization of a novel series of ALK5 modulators featuring a 4,6-disubstituted pyridazine core. A knowledge-based scaffold-hopping exploration was initially conducted on a restricted set of heteroaromatic cores using available ligand- and structure-based information. The most potent structurally novel hit compound 2A was subsequently subjected to a preliminary optimization for the inhaled delivery, applying physicochemical criteria aimed at minimizing systemic exposure to limit the risk of adverse side effects. The resulting inhibitors showed a marked boost in potency against ALK5 and in vitro ADME properties, potentially favoring lung retention. The optimized hits 20 and 23 might thus be considered promising starting points for the development of novel inhaled ALK5 inhibitors.

Harnessing Ascidians as Model Organisms for Environmental Risk Assessment

Environmental Risk Assessment (ERA) often relies on a restricted set of species as bio-indicators, introducing uncertainty when modeling complex environmental variables. This may lead to oversimplified or erroneous risk assessments. Ascidians, marine filter-feeding sessile chordates, are valuable models for scientific research in various biological fields such as stem cell biology, embryogenesis, regeneration, innate immunity, and developmental biology. Their global distribution, sensitivity to pollutants, high abundance, mass sexual reproduction, and habitation in coastal areas impacted by anthropogenic pollution make them excellent indicators for monitoring marine pollution and global environmental changes, including biological invasions and species diversity diminution cases. Despite their potential as environmental bioindicators, ascidians remain underutilized in ERAs (≤0.13% of ERA studies), particularly in the field of chemical pollution impact assessment, primarily due to a lack of standardization. This underrepresentation poses a challenge for accurate modeling, especially in models relying on a broad range of species (e.g., Species Sensitivity Distributions). Given these constraints, expanding the use of ascidians in ERAs could improve the comprehension and precision of environmental changes and their assessments. This underscores the necessity for future research to establish standardized testing protocols and choose the most suitable ascidian species for inclusion in ERAs.

Children’s Experiences of Police Custody and the Implications for Trauma-Informed Policing

The development of a trauma-informed Scotland is an ambitious and important agenda, but not without its challenges and limitations. In restrictive settings that rely on the application of power and control as part of their modus operandi, genuinely trauma-informed practice may be difficult to achieve. Drawing on interviews with 11 children, this article maps their experiences of police custody to trauma-informed practice principles. The gap between the espoused policies and the realities of custom and practice outlines the boundaries of trauma-informed practice in justice settings. The article concludes that police custody is antithetical to the concept of trauma-informed practice.

Clinical Practice Guideline for Diabetes Management in the Post-Acute and Long-Term Care Setting

The newly revised Clinical Practice Guideline (CPG) for Diabetes Management in the Post-Acute and Long-Term Care (PALTC) Setting is an extremely useful resource that incorporates new evidence and perspectives related to overall goals in diabetes care. The CPG provides detailed information in usable Tables for how to use and manage the increasing number of medication alternatives for PALTC patients with diabetes. In addition, the CPG addresses the critical roles of all members of the interprofessional team for the optimal management of older adults living with diabetes.The primary goal of care as described in the CPG is to make diabetes management individualized and consistent with the patient's/resident's goals of care, and to optimize quality of life and the ability to live in the least restrictive setting possible. To achieve this, the CPG emphasizes the importance of understanding the patients’ overall health status, what their preferences and values are, their life expectancy, the clinical benefit of tight versus more liberal control of glucose, risk of hypoglycemia, and impact of treatment on quality of life and ability to live in a certain setting of care (e.g., if injectable therapy is possible). As with other PALTmed CPGs, this new CPG takes the team through the process of recognition, assessment, treatment and monitoring. Implementation of the Diabetes Management in PALTC Settings CPG can help those working in these settings ensure that their patients and residents are getting the most appropriate and current evidence-based treatment for this challenging clinical problem.

Hierarchical Controlled Joint Remote Implementation of the Partially Unknown Operations of m Qudits via m High-Dimensional Entangled States.

We present a protocol for the hierarchical controlled joint remote implementation of the partially unknown operations of m qudits belonging to some restricted sets by using m multiparticle high-dimensional entangled states as the quantum channel. All the senders share the information of the partially unknown operations and cooperate with each other to implement the partially unknown operations on the remote receiver's quantum system. The receivers are hierarchized in accordance with their abilities to reconstruct the desired state. The agents in the upper grade need only cooperate with one of the lower-grade agents, and the agents in the lower grade need the cooperation of all the other agents. The protocol has the advantage of having high channel capacity by using a high-dimensional entangle state as the quantum channel for the hierarchial controlled joint remote implementation of partially unknown quantum operations of m qudits.

Integrating Kalman filter noise residue into U-Net for robust image denoising: the KU-Net model

In low-level image processing, where the main goal is to reconstruct a clean image from a noise-corrupted version, image denoising continues to be a critical challenge. Although recent developments have led to the introduction of complex architectures to improve denoising performance, these models frequently have more parameters and higher computational demands. Here, we propose a new, simplified architecture called KU-Net, which is intended to achieve better denoising performance while requiring less complexity. KU-Net is an extension of the basic U-Net architecture that incorporates gradient information and noise residue from a Kalman filter. The network’s ability to learn is improved by this deliberate incorporation, which also helps it better preserve minute details in the denoised images. Without using Image augmentation, the proposed model is trained on a limited dataset to show its resilience in restricted training settings. Three essential inputs are processed by the architecture: gradient estimations, the predicted noisy image, and the original noisy grey image. These inputs work together to steer the U-Net’s encoding and decoding stages to generate high-quality denoised outputs. According to our experimental results, KU-Net performs better than traditional models, as demonstrated by its superiority on common metrics like the Structural Similarity Index (SSIM) and Peak Signal-to-Noise Ratio (PSNR). KU-Net notably attains a PSNR of 26.60 dB at a noise level of 50, highlighting its efficacy and potential for more widespread use in image denoising.

Legal provisions on medical aid in dying encode moral intuition.

In recent decades, many jurisdictions have moved toward legalizing euthanasia and assisted suicide, alongside a near-universal increase in public acceptance of medical aid in dying. Here, we draw on a comprehensive quantitative review of current laws on assisted dying, experimental survey evidence, and four decades of time-series data to explore the relationship between these legislative transitions and change in moral attitudes. Our analyses reveal that existing laws on medical aid in dying impose a common set of eligibility restrictions, based on the patient's age, decision-making capacity, prognosis, and the nature of their illness. Fulfillment of these eligibility criteria elevates public moral approval of physician-assisted death, equally in countries with (i.e., Spain) and without (i.e., the United Kingdom) assisted dying laws. Finally, historical records of public attitudes toward euthanasia across numerous countries uncovered anticipatory growth in moral approval leading up to legalization, but no accelerated growth thereafter. Taken together, our findings suggest that the enactment of medical aid in dying laws, and their specific provisions, crystallize patterns in moral intuition.

Regression Approaches to Assess Effect of Treatments That Arrest Progression of Symptoms.

Motivated by a small sample example in neonatal onset multisystem inflammatory disease (NOMID), we propose a method that can be used when the interest is testing for an association between a changes in disease progression with start of treatment compared to historical disease progression prior to treatment. Our method estimates the longitudinal trajectory of the outcome variable and adds an interaction term between an intervention indicator variable and the time since initiation of the intervention. This method is appropriate for a situation in which the intervention slows or arrests the effect of the disease on the outcome, as is the case in our motivating example. By simulation in small samples and restricted sets of treatment initiation times, we show that the generalized estimating equations (GEE) formulation with small sample adjustments can bound the Type I error rate better than GEE and linear mixed models without small sample adjustments. Permutation tests (permuting the time of treatment initiation) is another valid approach that can also be useful. We illustrate the methodology through an application to a prospective cohort of NOMID patients enrolled at the NIH clinical center.