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We develop a new continuous-time stochastic gradient descent method for optimizing over the stationary distribution of stochastic differential equation (SDE) models. The algorithm continuously updates the SDE model's parameters using an…

机器学习 · 计算机科学 2023-08-29 Ziheng Wang , Justin Sirignano

Typical topology optimization methods require complex iterative calculations, which cannot meet the requirements of fast computing applications. The neural network is studied to reduce the time of computing the optimization result, however,…

计算物理 · 物理学 2024-01-12 Ce Guan , Jianyu Zhang , Zhen Li , Yongbo Deng

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

数据结构与算法 · 计算机科学 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

Many robotics applications require alignment and fusion of observations obtained at multiple views to form a global model of the environment. Multi-way data association methods provide a mechanism to improve alignment accuracy of pairwise…

机器人学 · 计算机科学 2020-03-06 Kaveh Fathian , Kasra Khosoussi , Yulun Tian , Parker Lusk , Jonathan P. How

Large-scale classification of data where classes are structurally organized in a hierarchy is an important area of research. Top-down approaches that exploit the hierarchy during the learning and prediction phase are efficient for large…

机器学习 · 计算机科学 2017-06-06 Azad Naik , Huzefa Rangwala

Existing analyses of optimization in deep learning are either continuous, focusing on (variants of) gradient flow, or discrete, directly treating (variants of) gradient descent. Gradient flow is amenable to theoretical analysis, but is…

机器学习 · 计算机科学 2021-12-30 Omer Elkabetz , Nadav Cohen

In recent years, Rectified flow (RF) has gained considerable popularity largely due to its generation efficiency and state-of-the-art performance. In this paper, we investigate the degree to which RF automatically adapts to the intrinsic…

机器学习 · 统计学 2026-02-24 Saptarshi Roy , Alessandro Rinaldo , Purnamrita Sarkar

Recent advances in data-generating techniques led to an explosive growth of geo-spatiotemporal data. In domains such as hydrology, ecology, and transportation, interpreting the complex underlying patterns of spatiotemporal interactions with…

机器学习 · 计算机科学 2023-01-30 Aishwarya Sarkar , Chaoqun Lu , Ali Jannesari

The present study proposes a new efficient and robust algorithm for multi-objectives topology optimization of heat transfer surfaces to achieve heat transfer enhancement with a less pressure drop penalty based on a continuous adjoint…

流体动力学 · 物理学 2023-09-14 Di Chen , Prashant Kumar , Yukinori Kametani , Yosuke Hasegawa

We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features…

最优化与控制 · 数学 2020-02-10 Xinyang Zhou , Zhiyuan Liu , Changhong Zhao , Lijun Chen

Diffusion models have demonstrated remarkable generation quality but at the cost of numerous function evaluations. Recently, advanced ODE-based solvers have been developed to mitigate the substantial computational demands of…

计算机视觉与模式识别 · 计算机科学 2025-05-28 Shuai Wang , Zexian Li , Qipeng zhang , Tianhui Song , Xubin Li , Tiezheng Ge , Bo Zheng , Limin Wang

In deep learning, it is usually assumed that the optimization process is conducted on a shape-fixed loss surface. Differently, we first propose a novel concept of deformation mapping in this paper to affect the behaviour of the optimizer.…

机器学习 · 计算机科学 2020-09-18 Liangming Chen , Long Jin , Xiujuan Du , Shuai Li , Mei Liu

We consider the classic Set Cover problem in the data stream model. For $n$ elements and $m$ sets ($m\geq n$) we give a $O(1/\delta)$-pass algorithm with a strongly sub-linear $\tilde{O}(mn^{\delta})$ space and logarithmic approximation…

数据结构与算法 · 计算机科学 2016-05-03 Sariel Har-Peled , Piotr Indyk , Sepideh Mahabadi , Ali Vakilian

For uncertainty propagation of highly complex and/or nonlinear problems, one must resort to sample-based non-intrusive approaches [1]. In such cases, minimizing the number of function evaluations required to evaluate the response surface is…

数值分析 · 数学 2017-12-04 Anindya Bhaduri , Lori Graham-Brady

The proposed RMS-FlowNet++ is a novel end-to-end learning-based architecture for accurate and efficient scene flow estimation that can operate on high-density point clouds. For hierarchical scene f low estimation, existing methods rely on…

计算机视觉与模式识别 · 计算机科学 2024-07-02 Ramy Battrawy , René Schuster , Didier Stricker

High-fidelity, high-resolution numerical simulations are crucial for studying complex multiscale phenomena in fluid dynamics, such as turbulent flows and ocean waves. However, direct numerical simulations with high-resolution solvers are…

数值分析 · 数学 2025-04-14 Wuzhe Xu , Yulong Lu , Lian Shen , Anqing Xuan , Ali Barzegari

We present an adaptive regularization algorithm that can be effectively applied to the optimization problem in deep learning framework. Our regularization algorithm aims to take into account the fitness of data to the current state of model…

机器学习 · 计算机科学 2019-09-02 Junghee Cho , Junseok Kwon , Byung-Woo Hong

High-fidelity flow simulations are indispensable when analyzing systems exhibiting multiphase flow phenomena. The accuracy of multiphase flow simulations is strongly contingent upon the finest mesh resolution used to represent the…

The \textit{de facto} paradigm for applying dense retrieval (DR) to new tasks involves fine-tuning a pre-trained model for a specific task. However, this paradigm has two significant limitations: (1) It is difficult adapt the DR to a new…

信息检索 · 计算机科学 2026-02-27 Zhan Su , Fengran Mo , Jinghan Zhang , Yuchen Hui , Jia Ao Sun , Bingbing Wen , Jian-Yun Nie

We study first-order optimization algorithms under the constraint that the descent direction is quantized using a pre-specified budget of $R$-bits per dimension, where $R \in (0 ,\infty)$. We propose computationally efficient optimization…

机器学习 · 计算机科学 2022-08-17 Rajarshi Saha , Mert Pilanci , Andrea J. Goldsmith