DCA
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Analytical Evaluation of DCA Convergence Properties for Minimizing Prediction Functions of Gaussian RBF Support Vector Regression
new Abstract: For nonconvex optimization problems whose objective is the prediction function of a trained Support Vector Regression (SVR) model with the Gaussian radial basis function (RBF) kernel (RBF-SVR), we present a framework that applies the difference of convex functions (DC) algorithm (DCA) by exploiting the analytical structure of the RBF kernel to construct an explicit DC decomposition. Specifically, we derive in closed form both the lower bound $\mu$ of the strong convexity...
Analytical Evaluation of DCA Convergence Properties for Minimizing Prediction Functions of Gaussian RBF Support Vector Regression
Announce Type: replace Abstract: For nonconvex optimization problems whose objective is the prediction function of a trained Support Vector Regression (SVR) model with the Gaussian radial basis function (RBF) kernel (RBF-SVR), we present a framework that applies the difference of convex functions (DC) algorithm (DCA) by exploiting the analytical structure of the RBF kernel to construct an explicit DC decomposition. Specifically, we derive in closed form both the lower bound $\mu$ of the...
Trump admin eyeing new nuclear bases near Russia’s border: report
Trump admin eyeing new nuclear bases near Russia’s border: report U.S. officials have indicated an openness to expanding deployments beyond the six nations currently hosting nuclear-capable bombers - Bookmark - CommentsGo to comments The United States is reportedly considering the deployment of nuclear weapons to additional European NATO member states, according to a new report. U.S. officials have indicated an openness to expanding deployments beyond the six nations currently hosting...
Towards coevolution-aware ancestral sequence reconstruction
Ancestral sequence reconstruction (ASR) is a powerful approach for studying molecular evolution and the emergence of protein function. Yet most ASR methods assume that sites evolve independently, neglecting the epistatic constraints that shape protein structure, stability, and function. This simplification affects both ancestral inference and its evaluation: maximum-a-posteriori reconstructions may over-concentrate probability into a single over-idealized sequence, whereas independent...
US in talks to deploy additional nuclear-capable bombers in Europe, media say
The US is reportedly in talks to expand nuclear weapons hosting in Europe, with Poland and the Baltic states eyed for NATO dual-capable aircraft bases. The United States is discussing whether to expand its nuclear weapons presence in Europe by allowing additional NATO countries to host aircraft capable of delivering nuclear weapons, according to a report in the Financial Times. The newspaper, citing three people briefed on the discussions, reported that US officials have signalled openness...
OmniGen-AR: AutoRegressive Any-to-Image Generation
arXiv:2606.09156v1 Announce Type: new Abstract: Autoregressive (AR) models have demonstrated strong potential in visual generation, offering superior performance with simple architectures and optimization objectives. However, existing methods are typically limited to single-modality conditions, e.g., text, restricting their applicability in real-world scenarios that demand image synthesis from diverse controls. In this work, we present OmniGen-AR, a unified autoregressive framework for...