The problem of hypertensive heart disease regression in patients with arterial hypertension

The review presents data from the domestic and foreign literature on the prevalence, pathogenesis, modern methods of verification of hypertensive heart disease (left ventricular hypertrophy) in patients with arterial hypertension and conditions associated with it: coronary heart disease, atrial fibrillation, metabolic syndrome, diabetes mellitus. Methods of non-drug and drug correction of hypertensive heart disease, as well as factors that prevent the reverse regression of hypertrophied myocardium are considered.

Reverse regression increases power for detecting trans-eQTLs

Trans-acting expression quantitative trait loci (trans-eQTLs) are genetic variants affecting the expression of distant genes. They account for ≥70% expression heritability and could therefore facilitate uncovering mechansisms underlying the origination of complex diseases. However, unlike cis-eQTLs, identifying trans-eQTLs is challenging because of small effect sizes, tissue-specificity, and the severe multiple-testing burden. Trans-eQTLs affect multiple target genes, but aggregating evidence over individual SNP-gene associations is hampered by strong gene expression correlations resulting in correlated p-values. Our method Tejaas predicts trans-eQTLs by performing L2-regularized ‘reverse’ multiple regression of each SNP on all genes, aggregating evidence from many small trans-effects while being unaffected by the strong expression correlations. Combined with a novel non-linear, unsupervised k-nearest-neighbor method to remove confounders, Tejaas predicted 18851 unique trans-eQTLs across 49 tissues from GTEx. They are enriched in open chromatin, enhancers and other regulatory regions. Many overlap with disease-associated SNPs, pointing to tissue-specific transcriptional regulation mechanisms. Tejaas is available under GPL at https://github.com/soedinglab/tejaas.

On a Unifying ‘Reverse’ Regression for Robust Association Studies and Allele Frequency Estimation with Related Individuals

For genetic association studies with related individuals, standard linear mixed-effect model is the most popular approach. The model treats a complex trait (phenotype) as the response variable while a genetic variant (genotype) as a covariate. An alternative approach is to reverse the roles of phenotype and genotype. This class of tests includes quasi-likelihood based score tests. In this work, after reviewing these existing methods, we propose a general, unifying ‘reverse’ regression framework. We then show that the proposed method can also explicitly adjust for potential departure from Hardy–Weinberg equilibrium. Lastly, we demonstrate the additional flexibility of the proposed model on allele frequency estimation, as well as its connection with earlier work of best linear unbiased allele-frequency estimator. We conclude the paper with supporting evidence from simulation and application studies.

Neural Decoding: A Predictive Viewpoint

Decoding in the context of brain-machine interface is a prediction problem, with the aim of retrieving the most accurate kinematic predictions attainable from the available neural signals. While selecting models that reduce the prediction error is done to various degrees, decoding has not received the attention that the fields of statistics and machine learning have lavished on the prediction problem in the past two decades. Here, we take a more systematic approach to the decoding prediction problem and search for risk-optimized reverse regression, optimal linear estimation (OLE), and Kalman filter models within a large model space composed of several nonlinear transformations of neural spike counts at multiple temporal lags. The reverse regression decoding framework is a standard prediction problem, where penalized methods such as ridge regression or Lasso are routinely used to find minimum risk models. We argue that minimum risk reverse regression is always more efficient than OLE and also happens to be 44% more efficient than a standard Kalman filter in a particular application of offline reconstruction of arm reaches of a rhesus macaque monkey. Yet model selection for tuning curves–based decoding models such as OLE and Kalman filtering is not a standard statistical prediction problem, and no efficient method exists to identify minimum risk models. We apply several methods to build low-risk models and show that in our application, a Kalman filter that includes multiple carefully chosen observation equations per neural unit is 67% more efficient than a standard Kalman filter, but with the drawback that finding such a model is computationally very costly.

FINANCIAL BUBBLE IMPLOSION AND REVERSE REGRESSION

Expansion and collapse are two key features of a financial asset bubble. Bubble expansion may be modeled using a mildly explosive process. Bubble implosion may take several different forms depending on the nature of the collapse and therefore requires some flexibility in modeling. This paper first strengthens the theoretical foundation of the real time bubble monitoring strategy proposed in Phillips, Shi and Yu (2015a,b, PSY) by developing analytics and studying the performance characteristics of the testing algorithm under alternative forms of bubble implosion which capture various return paths to market normalcy. Second, we propose a new reverse sample use of the PSY procedure for detecting crises and estimating the date of market recovery. Consistency of the dating estimators is established and the limit theory addresses new complications arising from the alternative forms of bubble implosion and the endogeneity effects present in the reverse regression. A real-time version of the strategy is provided that is suited for practical implementation. Simulations explore the finite sample performance of the strategy for dating market recovery. The use of the PSY strategy for bubble monitoring and the new procedure for crisis detection are illustrated with an application to the Nasdaq stock market.

Treatment comparison in randomized clinical trials with nonignorable missingness: A reverse regression approach

A common problem in randomized clinical trials is nonignorable missingness, namely that the clinical outcome(s) of interest can be missing in a way that is not fully explained by the observed quantities. This happens when the continued participation of patients depends on the current outcome after adjusting for the observed history. Standard methods for handling nonignorable missingness typically require specification of the response mechanism, which can be difficult in practice. This article proposes a reverse regression approach that does not require a model for the response mechanism. Instead, the proposed approach relies on the assumption that missingness is independent of treatment assignment upon conditioning on the relevant outcome(s). This conditional independence assumption is motivated by the observation that, when patients are effectively masked to the assigned treatment, their decision to either stay in the trial or drop out cannot depend on the assigned treatment directly. Under this assumption, one can estimate parameters in the reverse regression model, test for the presence of a treatment effect, and in some cases estimate the outcome distributions. The methodology can be extended to longitudinal outcomes under natural conditions. The proposed approach is illustrated with real data from a cardiovascular study.

The Research on Pricing Customizing Services of Logistics Information Platform

In recent years, the rapid development of logistics has become the driving force of the construction of Logistics Information Platforms, nevertheless, most of which are still underdeveloped, especially the charging and pricing mechanism of the platform is inadequate. Based on the bargain method of the game theory, this essay will build a pricing model and conduct a three-round bargaining reverse regression calculation towards logistics software customized services, resulting in its optimal pricing strategy. Taking National Transport Logistics Public Information Platform as the analyzing example, this essay provides theoretical support for the optimal pricing strategy of logistics software customized services.

Linear Models: A Useful “Microscope” for Causal Analysis

This note reviews basic techniques of linear path analysis and demonstrates, using simple examples, how causal phenomena of non-trivial character can be understood, exemplified and analyzed using diagrams and a few algebraic steps. The techniques allow for swift assessment of how various features of the model impact the phenomenon under investigation. This includes: Simpson’s paradox, case–control bias, selection bias, missing data, collider bias, reverse regression, bias amplification, near instruments, and measurement errors.