Self-report questionnaires play a crucial role in healthcare for assessing disease risks, yet their extensive length can be burdensome for respondents, potentially compromising data quality. To address this, machine l...
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Self-report questionnaires play a crucial role in healthcare for assessing disease risks, yet their extensive length can be burdensome for respondents, potentially compromising data quality. To address this, machine learning-based shortened questionnaires have been developed. While these questionnaires possess high levels of accuracy, their practical use in clinical settings is hindered by a lack of transparency and the need for specialized machine learning expertise. This makes their integration into clinical workflows challenging and also decreases trust among healthcare professionals who prefer interpretable tools for decision-making. To preserve both predictive accuracy and interpretability, this study introduces the Symbolic Regression-Based Clinical Score Generator (SymScore). SymScore produces score tables for shortened questionnaires, which enable clinicians to estimate the results that reflect those of the original questionnaires. SymScore generates the score tables by optimally grouping responses, assigning weights based on predictive importance, imposing necessary constraints, and fitting models via symbolic regression. We compared SymScore's performance with the machine learning-based shortened questionnaires MCQI-6 (n=310) and SLEEPS (n=4257), both renowned for their high accuracy in assessing sleep disorders. SymScore's questionnaire demonstrated comparable performance (MAE = 10.73, R2 = 0.77) to that of the MCQI-6 (MAE = 9.94, R2 = 0.82) and achieved AUROC values of 0.85-0.91 for various sleep disorders, closely matching those of SLEEPS (0.88-0.94). By generating accurate and interpretable score tables, SymScore ensures that healthcare professionals can easily explain and trust its results without specialized machine learning knowledge. Thus, SymScore advances explainable AI for healthcare by offering a user-friendly and resource-efficient alternative to machine learning-based questionnaires, supporting improved patient outcomes and workflow efficienc
The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem...
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The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem is developed. The solution of the problem is represented in the form of the combined angular potential and single-layer potential. The linear integral equations satisfied by the density functions are derived for general parameterized arcs. The weakly singular integrals and the Cauchy singular integral arising in these equations are computed using a highly accurate scheme with a truncation error analysis. The advantage of the scheme proposed in this paper is, in one hand, the fact that we do not need the analyticity property of the crack and we allow different complex valued surface impedances in both sides of the crack. In the other hand, we avoid the hyper-singular integrals. Numerical implementations showing the validity of the scheme are presented.
Consider the following coupled Schrödinger system with Sobolev critical exponent − Δ u i + λ i u i = ∑ j = 1 d β i j | u j | 2 ⁎ 2 | u i | 2 ⁎ 2 − 2 u i in Ω , i = 1 , 2 , . . . , d , where d ≥ ...
Consider the following coupled Schrödinger system with Sobolev critical exponent − Δ u i + λ i u i = ∑ j = 1 d β i j | u j | 2 ⁎ 2 | u i | 2 ⁎ 2 − 2 u i in Ω , i = 1 , 2 , . . . , d , where d ≥ 2 , 2 ⁎ = 2 N N − 2 is the Sobolev critical exponent, β i i > 0 for every i and β i j = β j i for i ≠ j . The domain Ω ⊂ R N is either bounded or the whole space, and u i ∈ H 0 1 ( Ω ) or u i ∈ H 1 ( R N ) respectively. We are concerned with the mixed cooperative and competitive system, incorporating some of the “Grouping” ideas first introduced by [N. Soave: Calc. Var. Partial Differential Equations. 53 (3) (2015), 689–718.]. The existence of least energy positive solutions for N ≥ 4 has been well-studied by H. Tavares et al. [Calc. Var. Partial Differential Equations. 59, (2020); J. Funct. Anal. 283 (2022)]. In this paper, we will study the existence of solutions for N = 3 . Different from the high dimensional case N ≥ 4 , the dimension N = 3 makes the proof more challenging, requiring different analysis. When Ω is bounded, we firstly establish the existence of nonnegative solutions with m ( 1 ≤ m ≤ d ) nontrivial components. The proof is performed by mathematical induction on the number of appropriate subsystem. Then we obtain the existence of least energy positive solution for the mixed cooperative and competitive case, as well as the existence and classification result of ground state solutions for the purely cooperative case. Besides, we obtain a nonexistence result of fully nontrivial ground state under some further assumptions. When Ω is the whole space and λ 1 = ⋯ = λ d = 0 , we obtain some nonexistence results for the mixed cooperative and competitive case.
The effect of initial longitudinal velocity of the tunnelled electron on the non-sequential double ionization （NSDI） process in an elliptically polarized laser field is studied by a semiclassical model. We find that...
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The effect of initial longitudinal velocity of the tunnelled electron on the non-sequential double ionization （NSDI） process in an elliptically polarized laser field is studied by a semiclassical model. We find that the non-zero initial longitudinal velocity has a suppressing effect on single-return collision （SRC） events in the double ionization process, more specifically, it results in an obvious reduction in the center part of the correlation momentum distributions in the direction of the major polarization axis （z axis） and makes the distribution of single-return collision in the minor polarization axis （x axis） become narrower.
In this article, we study a kind of vector singularly perturbed delay-amerenum equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and th...
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In this article, we study a kind of vector singularly perturbed delay-amerenum equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.
NiCo-based superalloys exhibit higher strength and creep resistance over conventional *** effects on elastic properties of the γ and γ' phases in newly-developed NiCo-based superalloys were investigated by first...
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NiCo-based superalloys exhibit higher strength and creep resistance over conventional *** effects on elastic properties of the γ and γ' phases in newly-developed NiCo-based superalloys were investigated by first-principles calculation combined with special quasi-random *** lattice constant,bulk modulus,and elastic constants vary linearly with the Co concentration in the NiCo *** the selected(Ni,Co)3(Al,W)and(Ni,Co)3(Al,Ti)model γ' phase,the lattice constant,and bulk modulus show a linear trend with alloying element *** addition of Co,Ti,and W can regulate lattice mismatch and increase the bulk modulus,simultaneously.W-addition shows excellent performance in strengthening the elastic properties in the γ' *** become unstable with higher W and Ni contents,e.g.,(Ni0.75Co0.25)3(Al0.25 W0.75),and become brittle with higher W and Co addition,e.g.,Co3(Al0.25 W0.75).Furthermore,Co,Ti,and W can increase the elastic constants on the whole,and such high elastic constants always correspond to a high elastic *** anisotropy index always corresponds to the nature of Young's modulus in a specific direction.
The classical friction law posits that macroscopic friction is directly proportional to the normal force, represented by a constant friction coefficient. However, frictional behavior becomes increasingly complex at th...
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The equations of motion describing inviscid fluid flow are solved numerically in two dimensions for the case where the flow can be described by patches of constant vorticity. The case where the vorticity is described ...
The equations of motion describing inviscid fluid flow are solved numerically in two dimensions for the case where the flow can be described by patches of constant vorticity. The case where the vorticity is described initially by two circular patches is studied in detail. The numerical evidence indicates that when the minimum distance between the two patches is initially less than the radius of the patches a singularity forms in finite time on the boundary curves of the patches. The singularity appears to be a jump discontinuity in the tangent vector of the boundary curve.
The correspondence principle postulated for the description of hydrodynamic turbulence [Phys. Rev. Lett. 57, 1722 (1986)] combined with the theory of thermal boundary layer [B. Castaing et al. (private communication)]...
The correspondence principle postulated for the description of hydrodynamic turbulence [Phys. Rev. Lett. 57, 1722 (1986)] combined with the theory of thermal boundary layer [B. Castaing et al. (private communication)] is applied to high Rayleigh number convection in a Bénard cell. Quantitative interpretation of recent experimental data [B. Castaing et al. (private communication)] is presented. The predicted intermittency exponent following from comparison of the theory with experiment is 0.175<μ<0.275. A crucial experimental test of the renormalization group theory of turbulence is proposed.
Identity-based broadcast encryption is tool for communicating multiple copies of a single message to a selective group of users, identified by their identities in such a manner that others are unable to access the con...
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