“碾压”斯坦福?这所高校3年发了95篇高被引数学论文 一个奇怪的变化正在引起数学界的关注。 近几年,数学领域蹿出一些“黑马”高校,它们没有数学系或数学研究较为薄弱,但其每年发表的高被引数学论文数量飙升,已...
阅读全文Comparison of innovation front number n(0) approximations. Credit: Proceedings of the National Academy of Sciences (2024). DOI: 10.1073/pnas.2312468120 In Lewis Carroll's Through the Looking-Glass, th...
阅读全文逝者|她师从苏步青,是中国数学界第一位女院士 “我毕生效力的微分几何方向长期以来靠她来主持……她是我的接班人。”1991年胡和生当选中国科学院院士时,苏步青在推荐发言中对她给予了极高评价。 胡和生为学生授...
阅读全文Credit: Unsplash/CC0 Public Domain The springtime emergence of vast swarms of cicadas can be explained by a mathematical model of collective decision-making that has similarities to models describing ...
阅读全文Linear, planar and cluster conformations for colloids in a vesicle. Experimental images obtained through a combination of bright-field and confocal microscopy, along with simulation snapshots, represe...
阅读全文Illustration of fitting the latent manifold using the Cycle Generative Adversarial Network (CycleGAN). CycleGAN is a deep learning technique for unsupervised image-to-image translation. In the real wo...
阅读全文We improve the description of $\mathbb{F}$-limits of noncollapsed Ricci flows in the K?hler setting. In particular, the singular strata $\mathcal{S}^k$ of such metric flows satisfy $\mathcal{S}^{...
阅读全文In this paper, we focus on the nonlinear least squares problem: $\min _{{\boldsymbol {x}}\in \mathbb {H}^d}\|\lvert A{\boldsymbol {x}}\rvert -{\boldsymbol {b}}\|$ where $A\in \mathbb {H}^{m\times ...
阅读全文We are concerned with a global existence theory for finite-energy solutions of the multidimensional Euler-Poisson equations for both compressible gaseous stars and plasmas with large initial data ...
阅读全文The leaky ReLU network with a group sparse regularization term has been widely used in the recent years. However, training such network yields a nonsmooth nonconvex optimization problem and there ...
阅读全文The adaptation of *ans to high-altitude environments has been studied extensively. However, the direct assessment of evolutionary adaptation, i.e., the reproductive fitness of *ans and its...
阅读全文It is well known that the far field patterns at finitely many frequencies are not enough to uniquely determine a general source. To establish uniqueness, we consider the acoustic scattering of sph...
阅读全文In this article, in order to improve the tracking ability of traditional active disturbance rejection control (ADRC) to the reference signal, the parallel multiple extended state observers (multi-...
阅读全文In this paper, we consider a class of nonconvex-nonconcave minimax problems, i.e., NC-PL minimax problems, whose objective functions satisfy the Polyak-Lojasiewicz (PL) condition with respect to t...
阅读全文We first propose a general step-size framework for the stochastic gradient descent (SGD) method: bandwidth-based step sizes that are allowed to vary within a banded region. The framework provides ...
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