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Stochastic Gradient Descent (SGD) is an important algorithm in machine learning. With constant learning rates, it is a stochastic process that, after an initial phase of convergence, generates samples from a stationary distribution. We show…

机器学习 · 统计学 2017-09-12 Stephan Mandt , Matthew D. Hoffman , David M. Blei

Spatial Transformer Networks (STNs) estimate image transformations that can improve downstream tasks by `zooming in' on relevant regions in an image. However, STNs are hard to train and sensitive to mis-predictions of transformations. To…

机器学习 · 计算机科学 2022-06-16 Pola Schwöbel , Frederik Warburg , Martin Jørgensen , Kristoffer H. Madsen , Søren Hauberg

The paper suggests a generalization of the Sign-Perturbed Sums (SPS) finite sample system identification method for the identification of closed-loop observable stochastic linear systems in state-space form. The solution builds on the…

系统与控制 · 电气工程与系统科学 2024-06-11 Szabolcs Szentpéteri , Balázs Csanád Csáji

Radial Basis Function Networks (RBFNs) are used primarily to solve curve-fitting problems and for non-linear system modeling. Several algorithms are known for the approximation of a non-linear curve from a sparse data set by means of RBFNs.…

神经与进化计算 · 计算机科学 2009-09-25 Carlo Drioli , Davide Rocchesso

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

数值分析 · 数学 2021-08-04 Fredy Vides

In the realm of robotics, the quest for achieving real-world autonomy, capable of executing large-scale and long-term operations, has positioned place recognition (PR) as a cornerstone technology. Despite the PR community's remarkable…

机器人学 · 计算机科学 2025-03-11 Peng Yin , Jianhao Jiao , Shiqi Zhao , Lingyun Xu , Guoquan Huang , Howie Choset , Sebastian Scherer , Jianda Han

Expanding on neural operators, we propose a novel framework for stochastic process learning across arbitrary domains. In particular, we develop operator flow matching (OFM) for learning stochastic process priors on function spaces. OFM…

机器学习 · 计算机科学 2025-10-14 Yaozhong Shi , Zachary E. Ross , Domniki Asimaki , Kamyar Azizzadenesheli

Symbolic Regression (SR) aims to discover interpretable equations from observational data, with the potential to reveal underlying principles behind natural phenomena. However, existing approaches often fall into the Pseudo-Equation Trap:…

机器学习 · 计算机科学 2026-02-17 Jing Xiao , Xinhai Chen , Jiaming Peng , Qinglin Wang , Menghan Jia , Zhiquan Lai , Guangping Yu , Dongsheng Li , Tiejun Li , Jie Liu

In robotics, gradient-free optimization algorithms (e.g. evolutionary algorithms) are often used only in simulation because they require the evaluation of many candidate solutions. Nevertheless, solutions obtained in simulation often do not…

机器人学 · 计算机科学 2013-07-09 Jean-Baptiste Mouret , Sylvain Koos , Stéphane Doncieux

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model approximations that are often highly effective in feedforward controls. However, when the…

系统与控制 · 计算机科学 2019-11-19 Dan Wang , Xu Chen

Hypercomplex signal processing (HSP) offers powerful tools for analyzing and processing multidimensional signals by explicitly exploiting inter-dimensional correlations through Clifford algebra. In recent years, hypercomplex formulations of…

信号处理 · 电气工程与系统科学 2026-03-02 Kumar Vijay Mishra , Henry Arguello , Brian M. Sadler

Performative learning addresses the increasingly pervasive situations in which algorithmic decisions may induce changes in the data distribution as a consequence of their public deployment. We propose a novel view in which these…

机器学习 · 计算机科学 2024-11-05 Edwige Cyffers , Muni Sreenivas Pydi , Jamal Atif , Olivier Cappé

Deep learning (DL) algorithms have been widely applied to short-term voltage stability (STVS) assessment in power systems. However, transferring the knowledge learned in one power grid to other power grids with topology changes is still a…

系统与控制 · 电气工程与系统科学 2024-10-28 Zijian Feng , Xin Chen , Zijian Lv , Peiyuan Sun , Kai Wu

Parameter estimation for dynamical systems remains challenging due to non-convexity and sensitivity to initial parameter guesses. Recent deep learning approaches enable accurate and fast parameter estimation but do not exploit transferable…

系统与控制 · 电气工程与系统科学 2026-04-08 Fabian Raisch , Timo Germann , J. Nathan Kutz , Christoph Goebel , Benjamin Tischler

Phase retrieval (PR), also sometimes referred to as quadratic sensing, is a problem that occurs in numerous signal and image acquisition domains ranging from optics, X-ray crystallography, Fourier ptychography, sub-diffraction imaging, and…

机器学习 · 计算机科学 2020-06-25 Namrata Vaswani

Modern software systems are built to be used in dynamic environments using configuration capabilities to adapt to changes and external uncertainties. In a self-adaptation context, we are often interested in reasoning about the performance…

软件工程 · 计算机科学 2017-04-24 Pooyan Jamshidi , Miguel Velez , Christian Kästner , Norbert Siegmund , Prasad Kawthekar

Reinforcement Learning with Verifiable Rewards (RLVR) improves final-answer accuracy on reasoning tasks, but it does not reliably improve reasoning quality. Because outcome rewards only assess final answers, they also reward spurious…

机器学习 · 计算机科学 2026-05-19 Chenlu Ye , Zhou Yu , Ziji Zhang , Hao Chen , Narayanan Sadagopan , Jing Huang , Tong Zhang , Anurag Beniwal

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

最优化与控制 · 数学 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

机器学习 · 计算机科学 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

The relationship between port-Hamiltonian and positive real descriptor systems is investigated. It is well-known that port-Hamiltonian systems are positive real, but the converse implication does not always hold. In [K. Cherifi, H.…

最优化与控制 · 数学 2024-08-27 Delin Chu , Volker Mehrmann