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Conditional diffusion models (CDMs) have shown impressive performance across a range of generative tasks. Their ability to model the full data distribution has opened new avenues for analysis-by-synthesis in downstream discriminative…

Machine Learning · Computer Science 2025-06-12 Yitao Xu , Tong Zhang , Ehsan Pajouheshgar , Sabine Süsstrunk

We introduce Compartmentalized Diffusion Models (CDM), a method to train different diffusion models (or prompts) on distinct data sources and arbitrarily compose them at inference time. The individual models can be trained in isolation, at…

Machine Learning · Computer Science 2024-10-15 Aditya Golatkar , Alessandro Achille , Ashwin Swaminathan , Stefano Soatto

We introduce a novel diffusion-based spectral algorithm to tackle regression analysis on high-dimensional data, particularly data embedded within lower-dimensional manifolds. Traditional spectral algorithms often fall short in such…

Machine Learning · Statistics 2024-10-21 Weichun Xia , Jiaxin Jiang , Lei Shi

We introduce the concept of Hypoelliptic Diffusion Maps (HDM), a framework generalizing Diffusion Maps in the context of manifold learning and dimensionality reduction. Standard non-linear dimensionality reduction methods (e.g., LLE,…

Statistics Theory · Mathematics 2015-03-19 Tingran Gao

Channel knowledge map (CKM) is emerging as a critical enabler for environment-aware 6G networks, offering a site-specific database to significantly reduce pilot overhead. However, existing CKM construction methods typically rely on sparse…

Signal Processing · Electrical Eng. & Systems 2026-01-16 Le Zhao , Yining Wang , Xinyi Wang , Zesong Fei , Yong Zeng

Accurate dose distribution prediction is crucial in the radiotherapy planning. Although previous methods based on convolutional neural network have shown promising performance, they have the problem of over-smoothing, leading to prediction…

Image and Video Processing · Electrical Eng. & Systems 2024-10-31 Xin Liao , Zhenghao Feng , Jianghong Xiao , Xingchen Peng , Yan Wang

Knowledge Distillation (KD) has emerged as a prominent technique for model compression. However, conventional KD approaches primarily focus on homogeneous architectures with identical tokenizers, constraining their applicability in…

Computation and Language · Computer Science 2025-02-18 Yijie Chen , Yijin Liu , Fandong Meng , Yufeng Chen , Jinan Xu , Jie Zhou

Recent developed deep unsupervised methods allow us to jointly learn representation and cluster unlabelled data. These deep clustering methods mainly focus on the correlation among samples, e.g., selecting high precision pairs to gradually…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Jianlong Wu , Keyu Long , Fei Wang , Chen Qian , Cheng Li , Zhouchen Lin , Hongbin Zha

Deep learning (DL)-based methods have recently shown great promise in bitemporal change detection (CD). Existing discriminative methods based on Convolutional Neural Networks (CNNs) and Transformers rely on discriminative representation…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Yihan Wen , Xianping Ma , Xiaokang Zhang , Man-On Pun

Modern successes of diffusion models in learning complex, high-dimensional data distributions are attributed, in part, to their capability to construct diffusion processes with analytic transition kernels and score functions. The…

Machine Learning · Statistics 2024-03-01 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Molei Tao

We introduce Constr-DRKM, a deep kernel method for the unsupervised learning of disentangled data representations. We propose augmenting the original deep restricted kernel machine formulation for kernel PCA by orthogonality constraints on…

Machine Learning · Computer Science 2020-12-01 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Discrete diffusion models have emerged as powerful frameworks for generating structured categorical data. However, efficiently sampling from reward-tilted distributions remains a fundamental challenge. While Twisted Sequential Monte Carlo…

Machine Learning · Computer Science 2026-05-25 Jaihoon Kim , Taehoon Yoon , Prin Phunyaphibarn , Seungjun Kim , Morteza Mardani , Minhyuk Sung

In this paper, we propose a novel deep coherence model (DCM) using a convolutional neural network architecture to capture the text coherence. The text coherence problem is investigated with a new perspective of learning sentence…

Computation and Language · Computer Science 2017-10-24 Baiyun Cui , Yingming Li , Yaqing Zhang , Zhongfei Zhang

Inspired by random walk on graphs, diffusion map (DM) is a class of unsupervised machine learning that offers automatic identification of low-dimensional data structure hidden in a high-dimensional dataset. In recent years, among its many…

Quantum Physics · Physics 2021-11-24 Apimuk Sornsaeng , Ninnat Dangniam , Pantita Palittapongarnpim , Thiparat Chotibut

In this work, we propose a simple kernel ridge regression (KRR) framework with a dynamic-aware validation strategy for long-term prediction of complex dynamical systems. By employing a data-driven kernel derived from diffusion maps, the…

Machine Learning · Computer Science 2025-12-30 Jiwoo Song , Daning Huang , John Harlim

Predicting counterfactual outcomes in longitudinal data, where sequential treatment decisions heavily depend on evolving patient states, is critical yet notoriously challenging due to complex time-dependent confounding and inadequate…

Machine Learning · Statistics 2026-04-15 Farbod Alinezhad , Jianfei Cao , Gary J. Young , Brady Post

In this paper, we present a multi-user resource allocation framework using fragmented-spectrum synchronous OFDM-CDMA modulation over a frequency-selective fading channel. In particular, given pre-existing communications in the spectrum…

Networking and Internet Architecture · Computer Science 2016-04-26 Farhad Akhoundi , Saeed Sharifi-Malvajerdi , Omid Poursaeed , Jawad A. Salehi

The Diffusion Map is a nonlinear dimensionality reduction technique used to analyze high-dimensional data, with recent applications extending to datasets from the social sciences. Previous research has given little attention to how the…

Physics and Society · Physics 2025-08-28 Sönke Beier

Dynamic Causal Modeling (DCM) is a Bayesian framework for inferring on hidden (latent) neuronal states, based on measurements of brain activity. Since its introduction in 2003 for functional magnetic resonance imaging data, DCM has been…

Quantitative Methods · Quantitative Biology 2021-04-08 Inês Pereira , Stefan Frässle , Jakob Heinzle , Dario Schöbi , Cao Tri Do , Moritz Gruber , Klaas E. Stephan

One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in…

Machine Learning · Computer Science 2025-05-12 Sergio García-Heredia , Ángela Fernández , Carlos M. Alaíz