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This work proposes a general learned proximal alternating minimization algorithm, LPAM, for solving learnable two-block nonsmooth and nonconvex optimization problems. We tackle the nonsmoothness by an appropriate smoothing technique with…

Optimization and Control · Mathematics 2026-03-10 Yunmei Chen , Lezhi Liu , Lei Zhang

In this Letter we propose a new method to infer the topology of the interaction network in pairwise models with Ising variables. By using the pseudolikelihood method (PLM) at high temperature, it is generally possible to distinguish between…

Disordered Systems and Neural Networks · Physics 2014-02-25 Aurélien Decelle , Federico Ricci-Tersenghi

With increasing demands for high-quality semantic segmentation in the industry, hard-distinguishing semantic boundaries have posed a significant threat to existing solutions. Inspired by real-life experience, i.e., combining varied…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Xu Yin , Dongbo Min , Yuchi Huo , Sung-Eui Yoon

Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the…

Machine Learning · Computer Science 2025-01-22 Kunpeng Xu , Lifei Chen , Shengrui Wang

Gaussian processes (GPs) stand as crucial tools in machine learning and signal processing, with their effectiveness hinging on kernel design and hyper-parameter optimization. This paper presents a novel GP linear multiple kernel (LMK) and a…

Machine Learning · Computer Science 2025-01-17 Richard Cornelius Suwandi , Zhidi Lin , Feng Yin , Zhiguo Wang , Sergios Theodoridis

We propose a metric learning paradigm, Regression-based Elastic Metric Learning (REML), which optimizes the elastic metric for geodesic regression on the manifold of discrete curves. Geodesic regression is most accurate when the chosen…

Machine Learning · Computer Science 2022-11-24 Adele Myers , Nina Miolane

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

Machine Learning · Computer Science 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

Protein representation learning is critical in various tasks in biology, such as drug design and protein structure or function prediction, which has primarily benefited from protein language models and graph neural networks. These models…

Biomolecules · Quantitative Biology 2024-02-16 Bozhen Hu , Zelin Zang , Cheng Tan , Stan Z. Li

We consider the estimation of the state transition matrix in vector autoregressive models, when time sequence data is limited but nonsequence steady-state data is abundant. To leverage both sources of data, we formulate the least squares…

Optimization and Control · Mathematics 2018-09-21 Fu Lin , Jie Chen

Despite their attractiveness, popular perception is that techniques for nonparametric function approximation do not scale to streaming data due to an intractable growth in the amount of storage they require. To solve this problem in a…

Machine Learning · Statistics 2016-12-14 Alec Koppel , Garrett Warnell , Ethan Stump , Alejandro Ribeiro

We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems. Recently, the authors developed a mathematical framework…

Dynamical Systems · Mathematics 2020-02-04 Andreas Bittracher , Stefan Klus , Boumediene Hamzi , Péter Koltai , Christof Schütte

Noise transition matrix (NTM) estimation is a promising approach for learning with label noise. It can infer clean posterior probabilities, known as Label Distribution (LD), based on noisy ones and reduce the impact of noisy labels.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zehui Liao , Shishuai Hu , Yutong Xie , Yong Xia

Deep learning has thrived by training on large-scale datasets. However, in robotics applications sample efficiency is critical. We propose a novel adaptive masked proxies method that constructs the final segmentation layer weights from few…

Computer Vision and Pattern Recognition · Computer Science 2019-10-16 Mennatullah Siam , Boris Oreshkin , Martin Jagersand

We propose a novel training objective for GPs constructed using lower-dimensional linear projections of the data, referred to as \emph{projected likelihood} (PL). We provide a closed-form expression for the information loss related to the…

Machine Learning · Computer Science 2026-01-28 Elsa Cazelles , Felipe Tobar

Debiased machine learning estimators for smooth functionals in nonparametric models can exhibit substantial variability and instability, often leading practitioners to instead rely on parametric or semiparametric working models. Such…

Methodology · Statistics 2026-03-20 Lars van der Laan , Marco Carone , Alex Luedtke , Mark van der Laan

We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

Machine Learning · Computer Science 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári

Few-shot 3D semantic segmentation aims to generate accurate semantic masks for query point clouds with only a few annotated support examples. Existing prototype-based methods typically construct compact and deterministic prototypes from the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Yifei Zhao , Fanyu Zhao , Yinsheng Li

To model manifold data using normalizing flows, we employ isometric autoencoders to design embeddings with explicit inverses that do not distort the probability distribution. Using isometries separates manifold learning and density…

Machine Learning · Computer Science 2023-05-09 Eike Cramer , Felix Rauh , Alexander Mitsos , Raúl Tempone , Manuel Dahmen

Denoising diffusion probabilistic models (DDPM) are a class of generative models which have recently been shown to produce excellent samples. We show that with a few simple modifications, DDPMs can also achieve competitive log-likelihoods…

Machine Learning · Computer Science 2021-02-22 Alex Nichol , Prafulla Dhariwal

Generative modeling of non-negative, discrete data, such as symbolic music, remains challenging due to two persistent limitations in existing methods. Firstly, many approaches rely on modeling continuous embeddings, which is suboptimal for…

Machine Learning · Computer Science 2026-02-12 Sagnik Bhattacharya , Abhiram Gorle , Ahsan Bilal , Connor Ding , Amit Kumar Singh Yadav , Tsachy Weissman