# One-Pass Learning with Incremental and Decremental Features

arXiv: https://arxiv.org/abs/1605.09082 · HTML: https://mlsanity.com/paper/1605.09082/

## Key facts

- Cited by 13 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 May 2016.

## Built on by (most cited first, 13 of 13)

- [Open-environment Machine Learning](https://mlsanity.com/paper/2206.00423/) (2022)
- [Representation Learning for Tabular Data: A Comprehensive Survey](https://mlsanity.com/paper/2504.16109/) (2025)
- [Learning with Recoverable Forgetting](https://mlsanity.com/paper/2207.08224/) (2022)
- [ORFit: One-Pass Learning via Bridging Orthogonal Gradient Descent and Recursive Least-Squares](https://mlsanity.com/paper/2207.13853/) (2022)
- [Unlocking the Transferability of Tokens in Deep Models for Tabular Data](https://mlsanity.com/paper/2310.15149/) (2023)
- [Multi-layered Semantic Representation Network for Multi-label Image Classification](https://mlsanity.com/paper/2106.11596/) (2021)
- [Learning from Data Streams: An Overview and Update](https://mlsanity.com/paper/2212.14720/) (2022)
- [Aux-Drop: Handling Haphazard Inputs in Online Learning Using Auxiliary Dropouts](https://mlsanity.com/paper/2303.05155/) (2023)
- [Seeing Differently, Acting Similarly: Heterogeneously Observable Imitation Learning](https://mlsanity.com/paper/2106.09256/) (2021)
- [Online Deep Learning from Doubly-Streaming Data](https://mlsanity.com/paper/2204.11793/) (2022)
- [Online Learning under Haphazard Input Conditions: A Comprehensive Review and Analysis](https://mlsanity.com/paper/2404.04903/) (2024)
- [Haphazard Inputs as Images in Online Learning](https://mlsanity.com/paper/2504.02912/) (2025)
- [Feature Incremental Clustering with Generalization Bounds](https://mlsanity.com/paper/2603.21590/) (2026)

## Abstract (arXiv)

In many real tasks the features are evolving, with some features being vanished and some other features augmented. For example, in environment monitoring some sensors expired whereas some new ones deployed; in mobile game recommendation some games dropped whereas some new ones added. Learning with such incremental and decremental features is crucial but rarely studied, particularly when the data coming like a stream and thus it is infeasible to keep the whole data for optimization. In this paper, we study this challenging problem and present the OPID approach. Our approach attempts to compress important information of vanished features into functions of survived features, and then expand to include the augmented features. It is the one-pass learning approach, which only needs to scan each instance once and does not need to store the whole data, and thus satisfy the evolving streaming data nature. The effectiveness of our approach is validated theoretically and empirically.
