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This note studies a method for the efficient estimation of a finite number of unknown parameters from linear equations, which are perturbed by Gaussian noise. In case the unknown parameters have only few nonzero entries, the proposed…

Systems and Control · Computer Science 2014-05-27 Liang Dai , Kristiaan Pelckmans

A number of techniques have been proposed to explain a machine learning model's prediction by attributing it to the corresponding input features. Popular among these are techniques that apply the Shapley value method from cooperative game…

Machine Learning · Computer Science 2020-06-29 Luke Merrick , Ankur Taly

In many real-world scenarios, reward signal for agents are exceedingly sparse, making it challenging to learn an effective reward function for reward shaping. To address this issue, the proposed approach in this paper performs reward…

Machine Learning · Computer Science 2026-05-18 Wenyun Li , Wenjie Huang , Chen Sun

Learned sparse retrieval, which can efficiently perform retrieval through mature inverted-index engines, has garnered growing attention in recent years. Particularly, the inference-free sparse retrievers are attractive as they eliminate…

Information Retrieval · Computer Science 2025-07-02 Zhichao Geng , Yiwen Wang , Dongyu Ru , Yang Yang

Iteratively reweighted least square (IRLS) is a popular approach to solve sparsity-enforcing regression problems in machine learning. State of the art approaches are more efficient but typically rely on specific coordinate pruning schemes.…

Machine Learning · Statistics 2022-10-03 Clarice Poon , Gabriel Peyré

The Shapley value concept from cooperative game theory has become a popular technique for interpreting ML models, but efficiently estimating these values remains challenging, particularly in the model-agnostic setting. Here, we revisit the…

Machine Learning · Computer Science 2021-04-26 Ian Covert , Su-In Lee

Shapley additive explanations (SHAP) are widely recognised as computationally intractable for neural networks, since they induce an exponential search space over the input features. In this work, we take a first step towards scaling exact…

Machine Learning · Computer Science 2026-05-26 David Boetius , Shahaf Bassan , Guy Katz , Stefan Leue , Tobias Sutter

For high dimensional sparse linear regression problems, we propose a sequential convex relaxation algorithm (iSCRA-TL1) by solving inexactly a sequence of truncated $\ell_1$-norm regularized minimization problems, in which the working index…

Statistics Theory · Mathematics 2024-11-05 Shujun Bi , Yonghua Yang , Shaohua Pan

Even though Shapley value provides an effective explanation for a DNN model prediction, the computation relies on the enumeration of all possible input feature coalitions, which leads to the exponentially growing complexity. To address this…

Machine Learning · Computer Science 2023-03-07 Guanchu Wang , Yu-Neng Chuang , Mengnan Du , Fan Yang , Quan Zhou , Pushkar Tripathi , Xuanting Cai , Xia Hu

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

In high dimensional sparse regression, pivotal estimators are estimators for which the optimal regularization parameter is independent of the noise level. The canonical pivotal estimator is the square-root Lasso, formulated along with its…

Machine Learning · Statistics 2020-09-04 Mathurin Massias , Quentin Bertrand , Alexandre Gramfort , Joseph Salmon

Shapley values are widely recognized as a principled method for attributing importance to input features in machine learning. However, the exact computation of Shapley values scales exponentially with the number of features, severely…

Machine Learning · Computer Science 2025-08-21 Majid Mohammadi , Krikamol Muandet , Ilaria Tiddi , Annette Ten Teije , Siu Lun Chau

Recovering jointly sparse signals in the multiple measurement vectors (MMV) setting is a fundamental problem in machine learning, but traditional methods often require careful parameter tuning or prior knowledge of the sparsity of the…

Machine Learning · Computer Science 2026-02-02 Lakshmi Jayalal , Sheetal Kalyani

As machine learning models grow more complex and their applications become more high-stakes, tools for explaining model predictions have become increasingly important. This has spurred a flurry of research in model explainability and has…

Machine Learning · Computer Science 2021-11-08 Yang Liu , Sujay Khandagale , Colin White , Willie Neiswanger

Sparse linear regression is one of the classic problems in the field of statistics, which has deep connections and high intersections with optimization, computation, and machine learning. To address the effective handling of…

Methodology · Statistics 2025-08-04 Peili Li , Zhuomei Li , Yunhai Xiao , Chao Ying , Zhou Yu

Gigantic pre-trained models have become central to natural language processing (NLP), serving as the starting point for fine-tuning towards a range of downstream tasks. However, two pain points persist for this paradigm: (a) as the…

Machine Learning · Computer Science 2023-05-25 Xuxi Chen , Tianlong Chen , Weizhu Chen , Ahmed Hassan Awadallah , Zhangyang Wang , Yu Cheng

Sparse linear regression methods such as Lasso require a tuning parameter that depends on the noise variance, which is typically unknown and difficult to estimate in practice. In the presence of heavy-tailed noise or adversarial outliers,…

Statistics Theory · Mathematics 2025-06-17 Takeyuki Sasai , Hironori Fujisawa

Symbolic regression (SR) is an emerging branch of machine learning focused on discovering simple and interpretable mathematical expressions from data. Although a wide-variety of SR methods have been developed, they often face challenges…

Machine Learning · Computer Science 2025-02-06 Madhav R. Muthyala , Farshud Sorourifar , You Peng , Joel A. Paulson

Integrated gradients are widely employed to evaluate the contribution of input features in classification models because it satisfies the axioms for attribution of prediction. This method, however, requires an appropriate baseline for…

Machine Learning · Computer Science 2018-11-28 Kazuki Tachikawa , Yuji Kawai , Jihoon Park , Minoru Asada

The goal of the Inverse reinforcement learning (IRL) task is to identify the underlying reward function and the corresponding optimal policy from a set of expert demonstrations. While most IRL algorithms' theoretical guarantees rely on a…

Machine Learning · Statistics 2025-03-25 Ruijia Zhang , Siliang Zeng , Chenliang Li , Alfredo Garcia , Mingyi Hong