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In practice, machine learning methods commonly require anomaly detection (AD) to filter inputs or detect distributional shifts. Typically, this is implemented by running a separate AD model alongside the primary model. However, this…

Machine Learning · Computer Science 2026-03-19 Luca Hinkamp , Simon Klüttermann , Emmanuel Müller

Most of the existing methods for anomaly detection use only positive data to learn the data distribution, thus they usually need a pre-defined threshold at the detection stage to determine whether a test instance is an outlier.…

Machine Learning · Computer Science 2019-03-19 Kai Tian , Shuigeng Zhou , Jianping Fan , Jihong Guan

Distance-based anomaly detection methods rely on compact in-distribution (ID) embeddings that are well separated from anomalies. However, conventional contrastive learning strategies often struggle to achieve this balance, either promoting…

Machine Learning · Computer Science 2026-02-02 Willian T. Lunardi , Abdulrahman Banabila , Dania Herzalla , Martin Andreoni

Deep learning models for image classification are typically trained under the "closed-world" assumption with a predefined set of image classes. However, when the models are deployed they may be faced with input images not belonging to the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Dajana Dimitrić , Mitar Simić , Vladimir Risojević

The manifold hypothesis (real world data concentrates near low-dimensional manifolds) is suggested as the principle behind the effectiveness of machine learning algorithms in very high dimensional problems that are common in domains such as…

Machine Learning · Computer Science 2022-07-15 Aditya Chetan , Nipun Kwatra

Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples. They implement a diffusion process whose endpoint is a…

Machine Learning · Computer Science 2025-09-03 Andrea Montanari

Hybrid methods have been shown to outperform pure statistical and pure deep learning methods at both forecasting tasks, and at quantifying the uncertainty associated with those forecasts (prediction intervals). One example is Multivariate…

Machine Learning · Computer Science 2022-02-28 Thabang Mathonsi , Terence L van Zyl

Many algorithms in machine learning and computational geometry require, as input, the intrinsic dimension of the manifold that supports the probability distribution of the data. This parameter is rarely known and therefore has to be…

Statistics Theory · Mathematics 2020-01-01 Jisu Kim , Alessandro Rinaldo , Larry Wasserman

Recently, considerable attention has been devoted to the prediction problems arising from heterogeneous information networks. In this paper, we present a new prediction task, Neighbor Distribution Prediction (NDP), which aims at predicting…

Social and Information Networks · Computer Science 2015-09-29 Yuchi Ma , Ning Yang , Chuan Li , Lei Zhang , Philip S. Yu

Diffusion models (DMs) have emerged as a powerful class of generative AI models, showing remarkable potential in anomaly detection (AD) tasks across various domains, such as cybersecurity, fraud detection, healthcare, and manufacturing. The…

Machine Learning · Computer Science 2025-02-28 Jing Liu , Zhenchao Ma , Zepu Wang , Chenxuanyin Zou , Jiayang Ren , Zehua Wang , Liang Song , Bo Hu , Yang Liu , Victor C. M. Leung

Deep learning is the mainstream technique for many machine learning tasks, including image recognition, machine translation, speech recognition, and so on. It has outperformed conventional methods in various fields and achieved great…

Machine Learning · Computer Science 2018-06-01 Na Lei , Zhongxuan Luo , Shing-Tung Yau , David Xianfeng Gu

Label Distribution Learning (LDL) is a novel machine learning paradigm that addresses the problem of label ambiguity and has found widespread applications. Obtaining complete label distributions in real-world scenarios is challenging, which…

Machine Learning · Computer Science 2024-10-18 Zhiqiang Kou , Haoyuan Xuan , Jing Wang , Yuheng Jia , Xin Geng

The goal of ordinal embedding is to represent items as points in a low-dimensional Euclidean space given a set of constraints in the form of distance comparisons like "item $i$ is closer to item $j$ than item $k$". Ordinal constraints like…

Machine Learning · Statistics 2016-06-24 Lalit Jain , Kevin Jamieson , Robert Nowak

Predictions and forecasts of machine learning models should take the form of probability distributions, aiming to increase the quantity of information communicated to end users. Although applications of probabilistic prediction and…

Machine Learning · Statistics 2024-03-19 Hristos Tyralis , Georgia Papacharalampous

We present an algorithm of clustering of many-dimensional objects, where only the distances between objects are used. Centers of classes are found with the aid of neuron-like procedure with lateral inhibition. The result of clustering does…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Leonid B. Litinskii , Dmitry E. Romanov

Many machine learning tasks, such as learning with invariance and policy evaluation in reinforcement learning, can be characterized as problems of learning from conditional distributions. In such problems, each sample $x$ itself is…

Machine Learning · Computer Science 2017-01-03 Bo Dai , Niao He , Yunpeng Pan , Byron Boots , Le Song

We revisit the classical problem of estimating an unknown distribution from its samples by fitting a mixture model that minimizes cross-entropy loss. Framing the task as a stochastic convex optimization problem over the space of $ M…

Machine Learning · Statistics 2026-05-26 Mohammadreza Ahmadypour , Tara Javidi , Farinaz Koushanfar

Automatic differentiation, as implemented today, does not have a simple mathematical model adapted to the needs of modern machine learning. In this work we articulate the relationships between differentiation of programs as implemented in…

Machine Learning · Computer Science 2020-10-30 Jerome Bolte , Edouard Pauwels

We study the problem of distributed multi-task learning with shared representation, where each machine aims to learn a separate, but related, task in an unknown shared low-dimensional subspaces, i.e. when the predictor matrix has low rank.…

Machine Learning · Computer Science 2016-03-08 Jialei Wang , Mladen Kolar , Nathan Srebro

A set of novel approaches for estimating epistemic uncertainty in deep neural networks with a single forward pass has recently emerged as a valid alternative to Bayesian Neural Networks. On the premise of informative representations, these…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Janis Postels , Mattia Segu , Tao Sun , Luca Sieber , Luc Van Gool , Fisher Yu , Federico Tombari
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