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Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables them to better capture linear relationships, which is hard…

机器学习 · 统计学 2024-07-10 Jakob Raymaekers , Peter J. Rousseeuw , Tim Verdonck , Ruicong Yao

Pre-training is crucial for learning deep neural networks. Most of existing pre-training methods train simple models (e.g., restricted Boltzmann machines) and then stack them layer by layer to form the deep structure. This layer-wise…

机器学习 · 计算机科学 2015-06-09 Zhiyuan Tang , Dong Wang , Yiqiao Pan , Zhiyong Zhang

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

机器学习 · 统计学 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Decision tree ensembles are widely used and competitive learning models. Despite their success, popular toolkits for learning tree ensembles have limited modeling capabilities. For instance, these toolkits support a limited number of loss…

机器学习 · 计算机科学 2022-05-20 Shibal Ibrahim , Hussein Hazimeh , Rahul Mazumder

The predominant success of diffusion models in generative modeling has spurred significant interest in understanding their theoretical foundations. In this work, we propose a feature learning framework aimed at analyzing and comparing the…

机器学习 · 统计学 2025-03-04 Andi Han , Wei Huang , Yuan Cao , Difan Zou

When data is generated by multiple sources, conventional training methods update models assuming equal reliability for each source and do not consider their individual data quality. However, in many applications, sources have varied levels…

机器学习 · 计算机科学 2025-02-17 Alexander Capstick , Francesca Palermo , Tianyu Cui , Payam Barnaghi

State of the art machine learning algorithms are highly optimized to provide the optimal prediction possible, naturally resulting in complex models. While these models often outperform simpler more interpretable models by order of…

机器学习 · 统计学 2016-11-24 Yotam Hechtlinger

Interpreting the learning dynamics of neural networks can provide useful insights into how networks learn and the development of better training and design approaches. We present an approach to interpret learning in neural networks by…

机器学习 · 计算机科学 2022-03-29 Ayush Manish Agrawal , Atharva Tendle , Harshvardhan Sikka , Sahib Singh

Techniques for understanding the functioning of complex machine learning models are becoming increasingly popular, not only to improve the validation process, but also to extract new insights about the data via exploratory analysis. Though…

机器学习 · 统计学 2018-11-02 Jayaraman J. Thiagarajan , Irene Kim , Rushil Anirudh , Peer-Timo Bremer

Acquiring and training on large-scale labeled data can be impractical due to cost constraints. Additionally, the use of small training datasets can result in considerable variability in model outcomes, overfitting, and learning of spurious…

机器学习 · 计算机科学 2025-07-08 Jiashu Tao , Reza Shokri

Diffusion models learn to restore noisy data, which is corrupted with different levels of noise, by optimizing the weighted sum of the corresponding loss terms, i.e., denoising score matching loss. In this paper, we show that restoring data…

计算机视觉与模式识别 · 计算机科学 2022-04-04 Jooyoung Choi , Jungbeom Lee , Chaehun Shin , Sungwon Kim , Hyunwoo Kim , Sungroh Yoon

The empirical success of deep learning is often attributed to deep networks' ability to exploit hierarchical structure in data, constructing increasingly complex features across layers. Yet despite substantial progress in deep learning…

机器学习 · 计算机科学 2026-01-28 Yunwei Ren , Yatin Dandi , Florent Krzakala , Jason D. Lee

Early exiting is an effective paradigm for improving the inference efficiency of deep networks. By constructing classifiers with varying resource demands (the exits), such networks allow easy samples to be output at early exits, removing…

计算机视觉与模式识别 · 计算机科学 2022-09-20 Yizeng Han , Yifan Pu , Zihang Lai , Chaofei Wang , Shiji Song , Junfen Cao , Wenhui Huang , Chao Deng , Gao Huang

Inference in expressive probabilistic models is generally intractable, which makes them difficult to learn and limits their applicability. Sum-product networks are a class of deep models where, surprisingly, inference remains tractable even…

机器学习 · 计算机科学 2016-11-14 Abram L. Friesen , Pedro Domingos

Models often need to be constrained to a certain size for them to be considered interpretable. For example, a decision tree of depth 5 is much easier to understand than one of depth 50. Limiting model size, however, often reduces accuracy.…

机器学习 · 计算机科学 2020-07-02 Abhishek Ghose , Balaraman Ravindran

We demonstrate that there is significant redundancy in the parameterization of several deep learning models. Given only a few weight values for each feature it is possible to accurately predict the remaining values. Moreover, we show that…

机器学习 · 计算机科学 2014-10-28 Misha Denil , Babak Shakibi , Laurent Dinh , Marc'Aurelio Ranzato , Nando de Freitas

The topic of deep learning has seen a surge of interest in recent years both within and outside of the field of Statistics. Deep models leverage both nonlinearity and interaction effects to provide superior predictions in many cases when…

统计方法学 · 统计学 2020-09-18 Paul A. Parker , Scott H. Holan

Regression trees have emerged as a preeminent tool for solving real-world regression problems due to their ability to deal with nonlinearities, interaction effects and sharp discontinuities. In this article, we rather study regression trees…

机器学习 · 统计学 2025-11-14 Nathan Wycoff

Interpretability is often pointed out as a key requirement for trustworthy machine learning. However, learning and releasing models that are inherently interpretable leaks information regarding the underlying training data. As such…

人工智能 · 计算机科学 2024-04-04 Julien Ferry , Ulrich Aïvodji , Sébastien Gambs , Marie-José Huguet , Mohamed Siala

In this work, we propose the novel Prototypical Graph Regression Self-explainable Trees (ProGReST) model, which combines prototype learning, soft decision trees, and Graph Neural Networks. In contrast to other works, our model can be used…

定量方法 · 定量生物学 2022-12-29 Dawid Rymarczyk , Daniel Dobrowolski , Tomasz Danel