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Programs involving discontinuities introduced by control flow constructs such as conditional branches pose challenges to mathematical optimization methods that assume a degree of smoothness in the objective function's response surface.…

机器学习 · 计算机科学 2024-01-05 Justin N. Kreikemeyer , Philipp Andelfinger

The $F_\beta$ score is a commonly used measure of classification performance, which plays crucial roles in classification tasks with imbalanced data sets. However, the $F_\beta$ score cannot be used as a loss function by gradient-based…

机器学习 · 计算机科学 2021-04-06 Namgil Lee , Heejung Yang , Hojin Yoo

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

机器学习 · 计算机科学 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

In several applications of automatic diagnosis and active learning a central problem is the evaluation of a discrete function by adaptively querying the values of its variables until the values read uniquely determine the value of the…

数据结构与算法 · 计算机科学 2014-07-29 Ferdinando Cicalese , Eduardo Laber , Aline Medeiros Saettler

Echocardiography (echo) is the first imaging modality used when assessing cardiac function. The measurement of functional biomarkers from echo relies upon the segmentation of cardiac structures and deep learning models have been proposed to…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Iman Islam , Esther Puyol-Antón , Bram Ruijsink , Andrew J. Reader , Andrew P. King

Dice loss is widely used for medical image segmentation, and many improvement loss functions based on such loss have been proposed. However, further Dice loss improvements are still possible. In this study, we reconsidered the use of Dice…

图像与视频处理 · 电气工程与系统科学 2022-07-19 Sota Kato , Kazuhiro Hotta

In this work, we study the approximation of expected values of functional quantities on the solution of a stochastic differential equation (SDE), where we replace the Monte Carlo estimation with the evaluation of a deep neural network. Once…

数值分析 · 数学 2021-02-18 Thomas Gerstner , Bastian Harrach , Daniel Roth , Martin Simon

Modeling physical phenomena like heat transport and diffusion is crucially dependent on the numerical solution of partial differential equations (PDEs). A PDE solver finds the solution given coefficients and a boundary condition, whereas an…

图形学 · 计算机科学 2022-08-04 Ekrem Fatih Yılmazer , Delio Vicini , Wenzel Jakob

In this article we develop a new sequential Monte Carlo (SMC) method for multilevel (ML) Monte Carlo estimation. In particular, the method can be used to estimate expectations with respect to a target probability distribution over an…

统计计算 · 统计学 2017-03-16 Alexandros Beskos , Ajay Jasra , Kody Law , Youssef Marzouk , Yan Zhou

Gradient-based methods are well-suited for derivative-free optimization (DFO), where finite-difference (FD) estimates are commonly used as gradient surrogates. Traditional stochastic approximation methods, such as Kiefer-Wolfowitz (KW) and…

最优化与控制 · 数学 2025-03-03 Guo Liang , Guangwu Liu , Kun Zhang

This paper studies continual learning (CL) of a sequence of aspect sentiment classification(ASC) tasks in a particular CL setting called domain incremental learning (DIL). Each task is from a different domain or product. The DIL setting is…

计算与语言 · 计算机科学 2021-12-21 Zixuan Ke , Bing Liu , Hu Xu , Lei Shu

The performance of medical image segmentation models is usually evaluated using metrics like the Dice score and Hausdorff distance, which compare predicted masks to ground truth annotations. However, when applying the model to unseen data,…

图像与视频处理 · 电气工程与系统科学 2025-04-23 Jingchen Zou , Jianqiang Li , Gabriel Jimenez , Qing Zhao , Daniel Racoceanu , Matias Cosarinsky , Enzo Ferrante , Guanghui Fu

We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations discretized by finite elements. Our novel error estimator combines estimates…

数值分析 · 数学 2026-02-13 Erik Weyl , Andreas Bartel , Manuel Schaller

This paper introduces a novel method for closed information extraction. The method employs a discriminative approach that incorporates type and entity-specific information to improve relation extraction accuracy, particularly benefiting…

计算与语言 · 计算机科学 2025-06-23 Cedric Möller , Ricardo Usbeck

We derive methods to compute higher order differentials (Hessians and Hessian-vector products) of the rendering operator. Our approach is based on importance sampling of a convolution that represents the differentials of rendering…

图形学 · 计算机科学 2025-08-07 Zican Wang , Michael Fischer , Tobias Ritschel

Derivatives are an important tool for single-objective optimization. In fact, it is commonly accepted that derivative-based methods present a better performance than derivative-free optimization approaches. In this work, we will show that…

最优化与控制 · 数学 2021-02-16 R. Andreani , A. L. Custódio , M. Raydan

Cardinality estimation has long been grounded in statistical tools for density estimation. To capture the rich multivariate distributions of relational tables, we propose the use of a new type of high-capacity statistical model: deep…

Unsupervised domain adaptation aims to transfer rich knowledge from the annotated source domain to the unlabeled target domain with the same label space. One prevalent solution is the bi-discriminator domain adversarial network, which…

计算机视觉与模式识别 · 计算机科学 2023-11-02 Chuang Zhao , Hongke Zhao , Hengshu Zhu , Zhenya Huang , Nan Feng , Enhong Chen , Hui Xiong

Domain-Incremental Learning (DIL) focuses on continual learning in non-stationary environments, requiring models to adjust to evolving domains while preserving historical knowledge. DIL faces two critical challenges in the context of…

机器学习 · 计算机科学 2025-07-10 Lan Li , Da-Wei Zhou , Han-Jia Ye , De-Chuan Zhan

We study zeroth-order optimization for convex functions where we further assume that function evaluations are unavailable. Instead, one only has access to a $\textit{comparison oracle}$, which given two points $x$ and $y$ returns a single…

最优化与控制 · 数学 2022-04-26 HanQin Cai , Daniel Mckenzie , Wotao Yin , Zhenliang Zhang