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An ordinary differential equation for velocity distribution in open channel flows is presented based on an analysis of the Reynolds-Averaged Navier-Stokes equations and a log-wake modified eddy viscosity distribution. This proposed equation…

流体动力学 · 物理学 2011-06-07 Rafik Absi

This paper describes novel and fast, simple and robust algorithm with O(N) expected complexity which enables to decrease run-time needed to find an exact maximum distance of two points in E2. The proposed algorithm has been evaluated…

计算几何 · 计算机科学 2022-08-23 Vaclav Skala

In this work, we propose a novel framework to enable diffusion models to adapt their generation quality based on real-time network bandwidth constraints. Traditional diffusion models produce high-fidelity images by performing a fixed number…

计算机视觉与模式识别 · 计算机科学 2026-04-10 Xi Zhang , Hanwei Zhu , Yan Zhong , Jiamang Wang , Weisi Lin

The main topic of this present thesis is the study of the asymptotic behaviour of sequences modulo 1. In particular, by using ergodic and dynamical methods, a new insight to problems concerning the asymptotic behaviour of multidimensional…

数论 · 数学 2015-02-18 Maria Rita Iacò

A major challenge in current optimization research for deep learning is to automatically find optimal step sizes for each update step. The optimal step size is closely related to the shape of the loss in the update step direction. However,…

机器学习 · 计算机科学 2021-11-01 Maximus Mutschler , Andreas Zell

Changes, planned or unexpected, are common during the execution of real-life processes. Detecting these changes is a must for optimizing the performance of organizations running such processes. Most of the algorithms present in the…

人工智能 · 计算机科学 2025-10-28 Victor Gallego-Fontenla , Juan C. Vidal , Manuel Lama

Data-driven techniques for machine vision heavily depend on the training data to sufficiently resemble the data occurring during test and application. However, in practice unknown distortion can lead to a domain gap between training and…

图像与视频处理 · 电气工程与系统科学 2022-10-25 Maximiliane Gruber , Fabian Brand , Alina Mosebach , Jürgen Seiler , André Kaup

Understanding the generalization of deep neural networks is one of the most important tasks in deep learning. Although much progress has been made, theoretical error bounds still often behave disparately from empirical observations. In this…

机器学习 · 计算机科学 2021-11-09 Ching-Yao Chuang , Youssef Mroueh , Kristjan Greenewald , Antonio Torralba , Stefanie Jegelka

An algorithm of searching a zero of an unknown undimensional function is considered, measured at a point x with some error. The step sizes are random positive values and are calculated according to the rule: if two consecutive iterations…

统计理论 · 数学 2007-06-13 Alexander Plakhov , Pedro Cruz

Understanding generalization in deep learning has been one of the major challenges in statistical learning theory over the last decade. While recent work has illustrated that the dataset and the training algorithm must be taken into account…

We provide an algorithm for computing a planar morph between any two planar straight-line drawings of any $n$-vertex plane graph in $O(n)$ morphing steps, thus improving upon the previously best known $O(n^2)$ upper bound. Further, we prove…

数据结构与算法 · 计算机科学 2014-02-20 Patrizio Angelini , Giordano Da Lozzo , Giuseppe Di Battista , Fabrizio Frati , Maurizio Patrignani , Vincenzo Roselli

Stochastic gradient descent is a classic algorithm that has gained great popularity especially in the last decades as the most common approach for training models in machine learning. While the algorithm has been well-studied when…

机器学习 · 统计学 2025-09-09 Jose Blanchet , Aleksandar Mijatović , Wenhao Yang

Current machine learning systems are brittle in the face of distribution shifts (DS), where the target distribution that the system is tested on differs from the source distribution used to train the system. This problem of robustness to DS…

机器学习 · 计算机科学 2025-03-12 Okan Koç , Alexander Soen , Chao-Kai Chiang , Masashi Sugiyama

In this paper, we introduce the stationary harmonic measure in the upper half plane. By bounding this measure, we are able to define both the discrete and continuous time diffusion limit aggregation (DLA) in the upper half plane with…

概率论 · 数学 2017-12-04 Eviatar B. Procaccia , Yuan Zhang

Adaptive multilevel splitting algorithms have been introduced rather recently for estimating tail distributions in a fast and efficient way. In particular, they can be used for computing the so-called reactive trajectories corresponding to…

数值分析 · 数学 2014-12-25 Joran Rolland , Eric Simonnet

We examine the scaling regime for the detrended fluctuation analysis (DFA) - the most popular method used to detect the presence of long memory in data and the fractal structure of time series. First, the scaling range for DFA is studied…

数据分析、统计与概率 · 物理学 2015-06-05 Dariusz Grech , Zygmunt Mazur

Generative models are widely used to compensate for class imbalance in AI training pipelines, yet their failure modes under low-data conditions are poorly understood. This paper reports a controlled benchmark comparing three augmentation…

计算机视觉与模式识别 · 计算机科学 2026-03-18 Shesh Narayan Gupta , Nik Bear Brown

The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. However, working with this model is algorithmically and…

计算几何 · 计算机科学 2019-01-08 Eryk Kopczyński , Dorota Celińska-Kopczyńska

Deep Learning models perform unreliably when the data comes from a distribution different from the training one. In critical applications such as medical imaging, out-of-distribution (OOD) detection methods help to identify such data…

图像与视频处理 · 电气工程与系统科学 2023-06-26 Anton Vasiliuk , Daria Frolova , Mikhail Belyaev , Boris Shirokikh

Multi-layer feedforward networks have been used to approximate a wide range of nonlinear functions. An important and fundamental problem is to understand the learnability of a network model through its statistical risk, or the expected…

机器学习 · 计算机科学 2022-06-28 Gen Li , Jie Ding
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