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This paper investigates a general robust one-shot aggregation framework for distributed and federated Independent Component Analysis (ICA) problem. We propose a geometric median-based aggregation algorithm that leverages $k$-means…

机器学习 · 计算机科学 2025-05-28 Dian Jin , Xin Bing , Yuqian Zhang

Independent component analysis (ICA) is a statistical method for transforming an observable multidimensional random vector into components that are as statistically independent as possible from each other.Usually the ICA framework assumes a…

信息论 · 计算机科学 2015-08-21 Amichai Painsky , Saharon Rosset , Meir Feder

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

机器学习 · 计算机科学 2021-09-01 Farzad Shahrivari , Nikola Zlatanov

Designing learning algorithms that are resistant to perturbations of the underlying data distribution is a problem of wide practical and theoretical importance. We present a general approach to this problem focusing on unsupervised…

机器学习 · 计算机科学 2021-02-22 Andreas Maurer , Daniela A. Parletta , Andrea Paudice , Massimiliano Pontil

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has independent components. We propose a new…

统计理论 · 数学 2012-06-05 Richard J. Samworth , Ming Yuan

In preparation for photometric classification of transients from the Legacy Survey of Space and Time (LSST) we run tests with different training data sets. Using estimates of the depth to which the 4-metre Multi-Object Spectroscopic…

天体物理仪器与方法 · 物理学 2021-09-27 Jonathan E. Carrick , Isobel M. Hook , Elizabeth Swann , Kyle Boone , Chris Frohmaier , Alex G. Kim , Mark Sullivan

Universal anomaly detection still remains a challenging problem in machine learning and medical image analysis. It is possible to learn an expected distribution from a single class of normative samples, e.g., through epistemic uncertainty…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Johanna P. Müller , Matthew Baugh , Jeremy Tan , Mischa Dombrowski , Bernhard Kainz

Anomaly detection is an important task for complex systems (e.g., industrial facilities, manufacturing, large-scale science experiments), where failures in a sub-system can lead to low yield, faulty products, or even damage to components.…

机器学习 · 计算机科学 2023-09-06 Ryan Humble , Zhe Zhang , Finn O'Shea , Eric Darve , Daniel Ratner

Contrastive learning is a recent promising approach in unsupervised representation learning where a feature representation of data is learned by solving a pseudo classification problem from unlabelled data. However, it is not…

机器学习 · 计算机科学 2022-08-10 Hiroaki Sasaki , Takashi Takenouchi

We present a method for learning to satisfy uncertain constraints from demonstrations. Our method uses robust optimization to obtain a belief over the potentially infinite set of possible constraints consistent with the demonstrations, and…

机器人学 · 计算机科学 2020-11-10 Glen Chou , Necmiye Ozay , Dmitry Berenson

We present the first diffusion-based framework that can learn an unknown distribution using only highly-corrupted samples. This problem arises in scientific applications where access to uncorrupted samples is impossible or expensive to…

机器学习 · 计算机科学 2023-05-31 Giannis Daras , Kulin Shah , Yuval Dagan , Aravind Gollakota , Alexandros G. Dimakis , Adam Klivans

The accumulation of time-series signals and the absence of labels make time-series Anomaly Detection (AD) a self-supervised task of deep learning. Methods based on normality assumptions face the following three limitations: (1) A single…

机器学习 · 计算机科学 2025-03-25 Xudong Mou , Rui Wang , Bo Li , Tianyu Wo , Jie Sun , Hui Wang , Xudong Liu

Features in machine learning problems are often time-varying and may be related to outputs in an algebraic or dynamical manner. The dynamic nature of these machine learning problems renders current higher order accelerated gradient descent…

最优化与控制 · 数学 2019-05-29 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender

This paper proposes an adaptive margin contrastive learning method for 3D semantic segmentation on point clouds. Most existing methods use equally penalized objectives, which ignore the per-point ambiguities and less discriminated features…

计算机视觉与模式识别 · 计算机科学 2025-07-10 Yang Chen , Yueqi Duan , Haowen Sun , Jiwen Lu , Yap-Peng Tan

We show that $n$-variable tree-structured Ising models can be learned computationally-efficiently to within total variation distance $\epsilon$ from an optimal $O(n \ln n/\epsilon^2)$ samples, where $O(\cdot)$ hides an absolute constant…

机器学习 · 计算机科学 2020-12-01 Constantinos Daskalakis , Qinxuan Pan

Recent advances in nonlinear Independent Component Analysis (ICA) provide a principled framework for unsupervised feature learning and disentanglement. The central idea in such works is that the latent components are assumed to be…

机器学习 · 统计学 2020-06-23 Hermanni Hälvä , Aapo Hyvärinen

Identifying the causal relations between interested variables plays a pivotal role in representation learning as it provides deep insights into the dataset. Identifiability, as the central theme of this approach, normally hinges on…

机器学习 · 计算机科学 2024-08-13 Boyang Sun , Ignavier Ng , Guangyi Chen , Yifan Shen , Qirong Ho , Kun Zhang

Unpaired image-to-image translation refers to learning inter-image-domain mapping without corresponding image pairs. Existing methods learn deterministic mappings without explicitly modelling the robustness to outliers or predictive…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Uddeshya Upadhyay , Yanbei Chen , Zeynep Akata

Absorbing discrete diffusion has emerged as a dominant framework for discrete data generation. However, a significant disparity remains between its empirical success and theoretical understanding: existing analyses fail to demonstrate a…

机器学习 · 计算机科学 2026-03-03 Xunpeng Huang , Yingyu Lin , Nishant Jain , Kaibo Wang , Difan Zou , Yian Ma , Tong Zhang

Deep neural networks are known to be overconfident when applied to out-of-distribution (OOD) inputs which clearly do not belong to any class. This is a problem in safety-critical applications since a reliable assessment of the uncertainty…

机器学习 · 计算机科学 2021-03-11 Julian Bitterwolf , Alexander Meinke , Matthias Hein