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We provide an analytical argument for understanding the likely nature of parameter shifts between those coming from an analysis of a dataset and from a subset of that dataset, assuming differences are down to noise and any intrinsic…

天体物理仪器与方法 · 物理学 2020-10-28 Steven Gratton , Anthony Challinor

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, assumed unknown. In practice one may have access to dimensionality-reduced observations of the…

信息论 · 计算机科学 2014-04-29 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

When faced with new data, we often conduct a cluster analysis to obtain a better understanding of the data's structure and the archetypical samples present in the data. This process often includes visualization of the data, either as a way…

应用统计 · 统计学 2026-04-06 Justin Lin , Julia Fukuyama

Contrastive dimension reduction (CDR) methods aim to extract signal unique to or enriched in a treatment (foreground) group relative to a control (background) group. This setting arises in many scientific domains, such as genomics, imaging,…

统计方法学 · 统计学 2025-10-15 Sam Hawke , Eric Zhang , Jiawen Chen , Didong Li

In this paper we propose a novel method that provides contrastive explanations justifying the classification of an input by a black box classifier such as a deep neural network. Given an input we find what should be %necessarily and…

人工智能 · 计算机科学 2018-10-30 Amit Dhurandhar , Pin-Yu Chen , Ronny Luss , Chun-Chen Tu , Paishun Ting , Karthikeyan Shanmugam , Payel Das

Deploying machine learning models in resource-constrained environments, such as edge devices or rapid prototyping scenarios, increasingly demands distillation of large datasets into significantly smaller yet informative synthetic datasets.…

计算机视觉与模式识别 · 计算机科学 2025-05-23 Wenmin Li , Shunsuke Sakai , Tatsuhito Hasegawa

Reward models (RMs) are a crucial component in the alignment of large language models' (LLMs) outputs with human values. RMs approximate human preferences over possible LLM responses to the same prompt by predicting and comparing reward…

机器学习 · 计算机科学 2025-02-27 Junqi Jiang , Tom Bewley , Saumitra Mishra , Freddy Lecue , Manuela Veloso

Dimensionality reduction (DR) plays a vital role in the visual analysis of high-dimensional data. One main aim of DR is to reveal hidden patterns that lie on intrinsic low-dimensional manifolds. However, DR often overlooks important…

机器学习 · 计算机科学 2023-02-28 Takanori Fujiwara , Yun-Hsin Kuo , Anders Ynnerman , Kwan-Liu Ma

The language for expressing comparisons is often complex and nuanced, making supporting natural language-based visual comparison a non-trivial task. To better understand how people reason about comparisons in natural language, we explore a…

人机交互 · 计算机科学 2022-08-09 Aimen Gaba , Vidya Setlur , Arjun Srinivasan , Jane Hoffswell , Cindy Xiong

Sufficient dimension reduction methods often require stringent conditions on the joint distribution of the predictor, or, when such conditions are not satisfied, rely on marginal transformation or reweighting to fulfill them approximately.…

统计理论 · 数学 2009-04-27 Bing Li , Yuexiao Dong

In this paper we argue that, to its detriment, transparency research overlooks many foundational concepts of artificial intelligence. As an illustrating example we focus on uncertainty quantification in the context of counterfactual…

机器学习 · 计算机科学 2026-05-19 Kacper Sokol , Santo M. A. R. Thies , Eyke Hüllermeier

A variety of methods exist to explain image classification models. However, whether they provide any benefit to users over simply comparing various inputs and the model's respective predictions remains unclear. We conducted a user study…

机器学习 · 计算机科学 2022-04-26 Leon Sixt , Martin Schuessler , Oana-Iuliana Popescu , Philipp Weiß , Tim Landgraf

Sufficient dimension reduction aims for reduction of dimensionality of a regression without loss of information by replacing the original predictor with its lower-dimensional subspace. Partial (sufficient) dimension reduction arises when…

统计方法学 · 统计学 2019-09-27 Lu Li , Kai Tan , Xuerong Meggie Wen , Zhou Yu

To understand the black-box characteristics of deep networks, counterfactual explanation that deduces not only the important features of an input space but also how those features should be modified to classify input as a target class has…

机器学习 · 计算机科学 2022-08-15 Hong-Gyu Jung , Sin-Han Kang , Hee-Dong Kim , Dong-Ok Won , Seong-Whan Lee

Explainability has become a valuable tool in the last few years, helping humans better understand AI-guided decisions. However, the classic explainability tools are sometimes quite limited when considering high-dimensional inputs and neural…

机器学习 · 计算机科学 2023-11-23 Odelia Melamed , Rich Caruana

Contrastive learning is a popular form of self-supervised learning that encourages augmentations (views) of the same input to have more similar representations compared to augmentations of different inputs. Recent attempts to theoretically…

Dimension reduction is the process of embedding high-dimensional data into a lower dimensional space to facilitate its analysis. In the Euclidean setting, one fundamental technique for dimension reduction is to apply a random linear map to…

概率论 · 数学 2017-09-19 Samet Oymak , Joel A. Tropp

Diverse planning is the problem of finding multiple plans for a given problem specification, which is at the core of many real-world applications. For example, diverse planning is a critical piece for the efficiency of plan recognition…

人工智能 · 计算机科学 2023-10-04 Mustafa F. Abdelwahed , Joan Espasa , Alice Toniolo , Ian P. Gent

Contrastive pretraining can substantially increase model generalisation and downstream performance. However, the quality of the learned representations is highly dependent on the data augmentation strategy applied to generate positive…

计算机视觉与模式识别 · 计算机科学 2025-06-17 Mélanie Roschewitz , Fabio De Sousa Ribeiro , Tian Xia , Galvin Khara , Ben Glocker

t-SNE has gained popularity as a dimension reduction technique, especially for visualizing data. It is well-known that all dimension reduction techniques may lose important features of the data. We provide a mathematical framework for…

机器学习 · 计算机科学 2026-04-16 Rupert Li , Elchanan Mossel