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We introduce a nonlinear operator to model diffusion on a complex undirected network under crowded conditions. We show that the asymptotic distribution of diffusing agents is a nonlinear function of the nodes' degree and saturates to a…

Statistical Mechanics · Physics 2018-04-18 Malbor Asllani , Timoteo Carletti , Francesca Di Patti , Duccio Fanelli , Francesco Piazza

Imitation Learning (IL) has achieved remarkable success across various domains, including robotics, autonomous driving, and healthcare, by enabling agents to learn complex behaviors from expert demonstrations. However, existing IL methods…

Machine Learning · Computer Science 2026-01-06 Shangzhe Li , Zhiao Huang , Hao Su

We study the distributed stochastic compositional optimization problems over directed communication networks in which agents privately own a stochastic compositional objective function and collaborate to minimize the sum of all objective…

Optimization and Control · Mathematics 2022-03-22 Shengchao Zhao , Yongchao Liu

A recent paper \cite{CaeCaeSchBar06} proposed a provably optimal, polynomial time method for performing near-isometric point pattern matching by means of exact probabilistic inference in a chordal graphical model. Their fundamental result…

Computer Vision and Pattern Recognition · Computer Science 2007-10-03 Julian J. McAuley , Tiberio S. Caetano , Marconi S. Barbosa

Knowledge Distillation (KD) aims to learn a compact student network using knowledge from a large pre-trained teacher network, where both networks are trained on data from the same distribution. However, in practical applications, the…

Machine Learning · Computer Science 2024-01-17 Jialiang Tang , Shuo Chen , Gang Niu , Hongyuan Zhu , Joey Tianyi Zhou , Chen Gong , Masashi Sugiyama

In this work, we study stochastic non-cooperative games, where only noisy black-box function evaluations are available to estimate the cost function for each player. Since each player's cost function depends on both its own decision…

Computer Science and Game Theory · Computer Science 2025-11-18 Haidong Li , Anzhi Sheng , Yijie Peng , Long Wang

This paper presents NOMAD (Non-Matching Audio Distance), a differentiable perceptual similarity metric that measures the distance of a degraded signal against non-matching references. The proposed method is based on learning deep feature…

Sound · Computer Science 2024-01-22 Alessandro Ragano , Jan Skoglund , Andrew Hines

We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

Machine Learning · Computer Science 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

We present a novel method for training score-based generative models which uses nonlinear noising dynamics to improve learning of structured distributions. Generalizing to a nonlinear drift allows for additional structure to be incorporated…

Machine Learning · Statistics 2025-07-10 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang , Wei Zhu

It is important to develop mathematically tractable models than can interpret knowledge extracted from the data and provide reasonable predictions. In this paper, we present a Linear Distillation Learning, a simple remedy to improve the…

Machine Learning · Computer Science 2019-10-14 Arip Asadulaev , Igor Kuznetsov , Andrey Filchenkov

Forecasting future stock trends remains challenging for academia and industry due to stochastic inter-stock dynamics and hierarchical intra-stock dynamics influencing stock prices. In recent years, graph neural networks have achieved…

Machine Learning · Computer Science 2024-03-05 Zinuo You , Zijian Shi , Hongbo Bo , John Cartlidge , Li Zhang , Yan Ge

The state-of-the-art dimensionality reduction approaches largely rely on complicated optimization procedures. On the other hand, closed-form approaches requiring merely eigen-decomposition do not have enough sophistication and nonlinearity.…

Machine Learning · Computer Science 2023-08-14 Chengrui Li , Anqi Wu

Knowledge distillation (KD) is a well-known method to reduce inference latency by compressing a cumbersome teacher model to a small student model. Despite the success of KD in the classification task, applying KD to recommender models is…

Machine Learning · Computer Science 2019-11-14 Jae-woong Lee , Minjin Choi , Jongwuk Lee , Hyunjung Shim

Compressing deep neural network (DNN) models becomes a very important and necessary technique for real-world applications, such as deploying those models on mobile devices. Knowledge distillation is one of the most popular methods for model…

Machine Learning · Computer Science 2020-03-02 Makoto Takamoto , Yusuke Morishita , Hitoshi Imaoka

Diffusion models have achieved remarkable success in generating high-resolution, realistic images across diverse natural distributions. However, their performance heavily relies on high-quality training data, making it challenging to learn…

Machine Learning · Computer Science 2025-05-22 Tianyu Chen , Yasi Zhang , Zhendong Wang , Ying Nian Wu , Oscar Leong , Mingyuan Zhou

We introduce Interleaved Gibbs Diffusion (IGD), a novel generative modeling framework for discrete-continuous data, focusing on problems with important, implicit and unspecified constraints in the data. Most prior works on discrete and…

Machine Learning · Computer Science 2025-07-04 Gautham Govind Anil , Sachin Yadav , Dheeraj Nagaraj , Karthikeyan Shanmugam , Prateek Jain

A Boolean network (BN) with $n$ components is a discrete dynamical system described by the successive iterations of a function $f:\{0,1\}^n \to \{0,1\}^n$. This model finds applications in biology, where fixed points play a central role.…

Combinatorics · Mathematics 2022-02-10 Florian Bridoux , Amélia Durbec , Kévin Perrot , Adrien Richard

We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of nonlinear dynamical systems. Moreover, Koopman is intimately…

Optimization and Control · Mathematics 2016-02-25 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and…

Dynamical Systems · Mathematics 2021-08-19 Karel Devriendt , Renaud Lambiotte

Building on the well-known total-variation (TV), this paper develops a general regularization technique based on nonlinear isotropic diffusion (NID) for inverse problems with piecewise smooth solutions. The novelty of our approach is to be…

Numerical Analysis · Mathematics 2021-08-25 Bernadette N. Hahn , Gael Rigaud , Richard Schmähl
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