In this paper, we establish a baseline for object symmetry detection in complex backgrounds by presenting new benchmark and an end-to-end deep learning approach, opening up promising direction the wild. The benchmark, named Sym-PASCAL, spans challenges including diversity, multi-objects, part-invisibility, various that are far beyond those existing datasets. proposed Side-output Residual Network (SRN), leverages output Units (RUs) to fit errors between ground-truth outputs of RUs. By...

Ever since the technique of Kalman filter was popularized, there has been an intense interest in finding new classes finite dimensional recursive filters. In 1990, Yau introduced a class filter. this paper, we report that at least low state space, generically all filters are necessarily

.In this paper, we show the local well-posedness of generalized Boussinesq equation (gBQ) in \(L^{2}(\mathbb{R}^d), H^{1}(\mathbb{R}^d)\) and obtain global well-posedness, finite-time blowup small initial data scattering gBQ energy space \(H^1(\mathbb{R}^d)\) . Moreover, large radial defocusing case for \( d\geqslant 3\) by using method Dodson–Murphy [Proc. Amer. Math. Soc., 145 (2017), pp. 4859–4867].Keywordsgeneralized equationCauchy problemlocal well-posednessfinite-time...

In this paper, we analyze the warranty data in after sales service, considering reliability characteristic parameters of spare parts use (MTBF), supply characteristics (replenishment lead time and supplier scarcity), part cost criticality. This paper constructs a multi-criteria classification model for ABC by using intelligent machine approaches - support vector (SVM). The main contribution study is interaction between SVM-ABC method. A case presented to illustrate model. test results show...

Engineering education in China’s colleges has been progressing rapidly, while there is a wide gap between the students’ engineering abilities and requirements from enterprises. Consequently, should be guided by professional evaluation, centered on strengthening college aptitudes qualities. This paper analyses concepts of an effective approach to improve current China.

In this paper, we prove for $n\leq 7$ that if a differentiable $n$-manifold contains relatively incompressible essential hypersurface in some class $\mathcal C_{deg}$, then it admits no complete metric with positive scalar curvature. Based on result, show surgeries between orientable $n$-manifolds and $n$-torus along sub-torus codimension less than $2$ still preserve the obstruction metrics As an application, establish mass theorem conditions asymptotically flat/conical manifolds flat fiber...

In the real word, complex problems usually have netted structure, namely problems. The general methods to solve this kind of are based on sequence structural description or tree problem. But structure problem cannot be simple pictured by tree. To precisely describe and simplify solution procedure, ordered AND/OR graph is proposed in paper depict structure. has hierarchy as well nodes AND relation OR relation. More importantly, among siblings from same father node there exits order...

In this paper, we study the global well-posedness of stochastic S-KdV system in $H^1(\mathbb{R})\times H^1(\mathbb{R})$, which are driven by additive noises. It is difficult to show a related perturbation even for smooth datum and forces. To overcome it, introduce new sequence approximation equations, key paper. We establish priori estimates, convergences these help us get pathwise estimate initial system.

In this paper we prove the Mitter (1979) conjecture that if estimation algebra is finite dimensional with maximal rank, then all observation terms h/sub 1/(x),/spl middot//spl middot/,h/sub m/(x) are necessarily polynomials of degree at most one. We also continue previous project and study case for state space dimension 4. particular give a classification possible quadratic forms can appear in algebras.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML"...

Using Blanchfield pairings, we show that two Alexander polynomials cannot be realized by a pair of matrices with algebraic Gordian distance one if corresponding quadratic equation does not have an integer solution. We also give example how our results help in calculating the distances, distances and polynomial distances.

Ecological issues have been a major topic of concern in recent years. The 19th National Congress the Communist Party China promoted ecological civilization as "millennium plan". It is network that makes new environmental protection assessment more convenient and efficient, saving lot manpower, material resources time. In this context, construction sound information platform can better promote development protection.

In this paper, we study the almost sure scattering for Klein-Gordon equations with Sobolev critical power. We obtain random initial data in $H^s \times H^{s-1}$; $11/12 < s 1$ $d = 4$, $15/16 5$. use induction on scales and bushes argument [9] where model equation is wave equation. For d 5, mass term of to control increment energy process scales.