Exploiting symmetries in SDP-relaxations for polynomial optimization

In this paper we study various approaches for exploiting symmetries in polynomial optimization problems within the framework of semi definite programming relaxations. Our special focus is on constrained problems especially when the symmetric group is acting on the variables. In particular, we investigate the concept of block decomposition within the framework of constrained polynomial optimization problems, show how the degree principle for the symmetric group can be computationally exploited and also propose some methods to efficiently compute in the geometric quotient.Comment: (v3) Minor revision. To appear in Math. of Operations Researc

The evolution of decision rules in complex environments.

PublishedResearch Support, Non-U.S. Gov'tReviewThis is the author accepted manuscript. The final version is available from Elsevier via http://dx.doi.org/10.1016/j.tics.2013.12.012Models and experiments on adaptive decision-making typically consider highly simplified environments that bear little resemblance to the complex, heterogeneous world in which animals (including humans) have evolved. These studies reveal an array of so-called cognitive biases and puzzling features of behaviour that seem irrational in the specific situation presented to the decision-maker. Here we review an emerging body of work that highlights spatiotemporal heterogeneity and autocorrelation as key properties of most real-world environments that may help us understand why these biases evolved. Ecologically rational decision rules adapted to such environments can lead to apparently maladaptive behaviour in artificial experimental settings. We encourage researchers to consider environments with greater complexity to understand better how evolution has shaped our cognitive systems.This work was funded by the European Research Council (Advanced Grant 250209 to A.I.H.) and the Engineering and Physical Sciences Research Council (grant number EP/I032622/1 to Iain D. Gilchrist)

DECIDE-AI: new reporting guidelines to bridge the development-to-implementation gap in clinical artificial intelligence

As an increasing number of clinical decision-support systems driven by artificial intelligence progress from development to implementation, better guidance on the reporting of human factors and early-stage clinical evaluation is needed

Audit of the job satisfaction levels of the UK radiography and physics workforce in UK radiotherapy centres 2012

Conclusion: Radiotherapy professionals are prone to the effects of compassion fatigue and burnout. Attention must be paid to workload and its impact on practitioners' job satisfaction. Professional development that is supported and informed by a performance development review is a simple and effective means of enhancing satisfaction. Individuals have a responsibility to themselves and their colleagues as their behaviours and attitudes influence job satisfaction. Advances in knowledge: This work identifies areas for future research to enhance the professional resilience of practitioners, in order to provide high-quality treatments. Objective: Workforce planning reports identify a staff shortfall that jeopardizes the ability of UK radiotherapy centres to meet future demands. Obtaining an understanding of the work experiences of radiotherapy professionals will support the development of strategies to increase job satisfaction, productivity and effectiveness. Methods: A quantitative survey assessed job satisfaction, attitudes to incident reporting, stress and burnout, opportunities for professional development, workload, retention and turnover. Clinical oncologists were not included, as the Royal College of Radiologists, London, UK, had recently assessed their members' satisfaction. All questions were taken from validated instruments or adapted from the "UK National Health Service Staff Survey". Results: The survey yielded 658 completed responses (approximately 16% response rate), from public and private sectors. Over a third (36%) of respondents were classified as satisfied for job satisfaction with 11% dissatisfied and the remaining 53% ambivalent. A significant proportion of clinical staff (37.5%) report high emotional exhaustion. Presenteeism was an issue with 42.4% attending work despite feeling unable to fulfil their role.</p

The Pioneer Anomaly

Radio-metric Doppler tracking data received from the Pioneer 10 and 11 spacecraft from heliocentric distances of 20-70 AU has consistently indicated the presence of a small, anomalous, blue-shifted frequency drift uniformly changing with a rate of ~6 x 10^{-9} Hz/s. Ultimately, the drift was interpreted as a constant sunward deceleration of each particular spacecraft at the level of a_P = (8.74 +/- 1.33) x 10^{-10} m/s^2. This apparent violation of the Newton's gravitational inverse-square law has become known as the Pioneer anomaly; the nature of this anomaly remains unexplained. In this review, we summarize the current knowledge of the physical properties of the anomaly and the conditions that led to its detection and characterization. We review various mechanisms proposed to explain the anomaly and discuss the current state of efforts to determine its nature. A comprehensive new investigation of the anomalous behavior of the two Pioneers has begun recently. The new efforts rely on the much-extended set of radio-metric Doppler data for both spacecraft in conjunction with the newly available complete record of their telemetry files and a large archive of original project documentation. As the new study is yet to report its findings, this review provides the necessary background for the new results to appear in the near future. In particular, we provide a significant amount of information on the design, operations and behavior of the two Pioneers during their entire missions, including descriptions of various data formats and techniques used for their navigation and radio-science data analysis. As most of this information was recovered relatively recently, it was not used in the previous studies of the Pioneer anomaly, but it is critical for the new investigation.Comment: 165 pages, 40 figures, 16 tables; accepted for publication in Living Reviews in Relativit

Policy for using generative AI in research: guidelines for researchers and professional staff

Through this policy, the University of Oxford, wishes to ensure the responsible use of generative AI in research and to provide clear guidelines for its integration into the research process. The policy sets out the expectations, all researchers and professional staff supporting researchers are expected to meet, while also complying with relevant funder and publisher policies, and professional guidelines. It lists support provided by the University and how the policy is going to be reviewed and kept up to date

Early discontinuation of endocrine therapy for breast cancer: Who is at risk in clinical practice?

Purpose: Despite evidence supporting at least five years of endocrine therapy for early breast cancer, many women discontinue therapy early. We investigated the impact of initial therapy type and specific comorbidities on discontinuation of endocrine therapy in clinical practice. Methods We identified women in a population-based cohort with a diagnosis of early breast cancer and an incident dispensing of anastrozole, letrozole or tamoxifen from 2003-2008 (N = 1531). Pharmacy and health service data were used to determine therapy duration, treatment for pre-existing and post-initiation comorbidities (anxiety, depression, hot flashes, musculoskeletal pain, osteoporosis, vaginal atrophy), demographic and other clinical characteristics. Time to discontinuation of initial, and any, endocrine therapy was calculated. Cox regression determined the association of different characteristics on early discontinuation. Results Initial endocrine therapy continued for a median of 2.2 years and any endocrine therapy for 4.8 years. Cumulative probability of discontinuing any therapy was 17% after one year and 58% by five years. Initial tamoxifen, pre-existing musculoskeletal pain and newly-treated anxiety predicted shorter initial therapy but not discontinuation of any therapy. Early discontinuation of any therapy was associated with newly-treated hot flashes (HR = 2.1, 95%CI = 1.3-3.3), not undergoing chemotherapy (HR = 1.4, 95%CI = 1.1-1.8) and not undergoing mastectomy (HR = 1.5, 95%CI = 1.2-1.8). Conclusions Less than half of women completed five years of endocrine therapy. Women at greatest risk of stopping any therapy early were those with newly-treated hot flashes, no initial chemotherapy, or no initial mastectomy. This suboptimal use means that the reductions in recurrence demonstrated in clinical trials may not be realised in practice

Female senior secondary physics students’ engagement in science: a qualitative study of constructive influences

Background: Prompted by fewer females compared to males enrolling in physics and advanced mathematics at both secondary and university levels, our research investigated the views and experiences of female students currently studying upper secondary school physics. We interviewed 18 female students about influences they considered important to their own science education, interest in science, and future science-related aspirations. Our purpose was to identify the experiences that these students most strongly associated with the generation and maintenance of their engagement in science, particularly represented in this research by their enrolment in upper secondary physics. Results: The research team used a systematic, iterative process to identify the main themes in the transcribed interview data. We identified the influence each girl reported as the strongest (ranked first). We also combined all influences that the participants had nominated, regardless of their ranking, to further examine all factors participants suggested as influential in their sustained engagement in school science (represented by their decision to study upper secondary physics). Systematic analysis of the interview data confirms that the influences on these females’ choices to study physics at upper secondary originate from a combination of their teachers, their school’s science culture, members of their family, the participants themselves and their peers. Conclusions: The interviews highlighted the idiographic complexities in understanding the wide range of important influences on these students studying physics at upper secondary school and their engagement in science. The unique contribution of this work is giving voice to the participants and reflecting on what these high achieving females have to say about the influential factors in their decisions to pursue science. Supportive teachers and the school science culture play essential roles, and other cultural and/or social factors such as family members and peers are identified as important. References to the culture and expectations of the school, family holidays, and conversations with siblings are support factors that seem to interact and overlap. At the same time, the importance of policy-amenable factors such as competent and caring science teachers, and science-supportive school cultures should be emphasised and encouraged