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We propose a new framework, inspired by random matrix theory, for analyzing the dynamics of stochastic gradient descent (SGD) when both number of samples and dimensions are large. This framework applies to any fixed stepsize and the finite…

最优化与控制 · 数学 2021-02-09 Courtney Paquette , Kiwon Lee , Fabian Pedregosa , Elliot Paquette

Simulation Based Inference (SBI) is shown to yield more accurate resonance parameter estimates than traditional chi-squared minimization in certain cases of model misspecification, demonstrated through a case study of pi-pi scattering and…

高能物理 - 唯象学 · 物理学 2025-07-28 Daniel Sadasivan , Isaac Cordero , Andrew Graham , Cecilia Marsh , Daniel Kupcho , Melana Mourad , Maxim Mai

In industrial big data scenarios, high-dimensional sparse matrices (HDI) are widely used to characterize high-order interaction relationships among massive nodes. The stochastic gradient descent-based latent factor analysis (SGD-LFA) method…

机器学习 · 计算机科学 2025-08-26 Jinli Li , Shiyu Long , Minglian Han

Sum-product networks (SPNs) are flexible density estimators and have received significant attention due to their attractive inference properties. While parameter learning in SPNs is well developed, structure learning leaves something to be…

机器学习 · 计算机科学 2019-11-05 Martin Trapp , Robert Peharz , Hong Ge , Franz Pernkopf , Zoubin Ghahramani

The quasi-potential is a key concept in stochastic systems as it accounts for the long-term behavior of the dynamics of such systems. It also allows us to estimate mean exit times from the attractors of the system, and transition rates…

统计力学 · 物理学 2024-09-12 Leonardo Grigorio , Mnerh Alqahtani

Diffusion-based generative methods have shown promising potential for modeling trajectories from offline reinforcement learning (RL) datasets, and hierarchical diffusion has been introduced to mitigate variance accumulation and…

机器学习 · 计算机科学 2025-09-29 Xianghua Zeng , Hao Peng , Angsheng Li , Yicheng Pan

Simulation-based inference (SBI) offers a flexible and general approach to performing Bayesian inference: In SBI, a neural network is trained on synthetic data simulated from a model and used to rapidly infer posterior distributions for…

机器学习 · 计算机科学 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Stein variational inference (SVI) is a sample-based approximate Bayesian inference technique that generates a sample set by jointly optimizing the samples' locations to minimize an information-theoretic measure of discrepancy with the…

机器学习 · 计算机科学 2024-10-22 Liam Pavlovic , David M. Rosen

This paper presents a system identification framework -- inspired by multi-task learning -- to estimate the dynamics of a given number of linear time-invariant (LTI) systems jointly by leveraging structural similarities across the systems.…

系统与控制 · 电气工程与系统科学 2023-09-12 Yiting Chen , Ana M. Ospina , Fabio Pasqualetti , Emiliano Dall'Anese

The Sparse Identification of Nonlinear Dynamics (SINDy) algorithm can be applied to stochastic differential equations to estimate the drift and the diffusion function using data from a realization of the SDE. The SINDy algorithm requires…

数值分析 · 数学 2024-01-29 Mathias Wanner , Igor Mezić

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

机器学习 · 计算机科学 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

Identifying from observation data the governing differential equations of a physical dynamics is a key challenge in machine learning. Although approaches based on SINDy have shown great promise in this area, they still fail to address a…

Spiking neural networks (SNNs) have superb characteristics in sensory information recognition tasks due to their biological plausibility. However, the performance of some current spiking-based models is limited by their structures which…

神经与进化计算 · 计算机科学 2023-04-20 Qi Xu , Yaxin Li , Xuanye Fang , Jiangrong Shen , Jian K. Liu , Huajin Tang , Gang Pan

We present D-Phi iteration: an algorithm for distributed, localized, and scalable robust control of systems with structured uncertainties. This algorithm combines the System Level Synthesis (SLS) parametrization for distributed control with…

最优化与控制 · 数学 2022-09-21 Jing Shuang Li , John C. Doyle

Reinforcement Learning (RL) is crucial for unlocking the complex reasoning capabilities of Diffusion-based Large Language Models (dLLMs). However, applying RL to dLLMs faces unique challenges in efficiency and stability. To address these…

人工智能 · 计算机科学 2026-02-10 Jiawei Liu , Xiting Wang , Yuanyuan Zhong , Defu Lian , Yu Yang

In this study, we propose Shortcut Fine-Tuning (SFT), a new approach for addressing the challenge of fast sampling of pretrained Denoising Diffusion Probabilistic Models (DDPMs). SFT advocates for the fine-tuning of DDPM samplers through…

机器学习 · 计算机科学 2024-09-23 Ying Fan , Kangwook Lee

The ability to transfer skills across tasks has the potential to scale up reinforcement learning (RL) agents to environments currently out of reach. Recently, a framework based on two ideas, successor features (SFs) and generalised policy…

The sparse identification of nonlinear dynamics (SINDy) has been established as an effective method to learn interpretable models of dynamical systems from data. However, for high-dimensional slow-fast dynamical systems, the regression…

动力系统 · 数学 2025-07-02 Diemen Delgado-Cano , Erick Kracht , Urban Fasel , Benjamin Herrmann

Stochastic microstructure reconstruction has become an indispensable part of computational materials science, but ongoing developments are specific to particular material systems. In this paper, we address this generality problem by…

材料科学 · 物理学 2018-05-09 Xiaolin Li , Yichi Zhang , He Zhao , Craig Burkhart , L Catherine Brinson , Wei Chen

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

机器学习 · 计算机科学 2025-08-04 Liuyun Xu , Seymour M. J. Spence