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Recent Reinforcement Learning (RL) algorithms making use of Kullback-Leibler (KL) regularization as a core component have shown outstanding performance. Yet, only little is understood theoretically about why KL regularization helps, so far.…

Machine Learning · Computer Science 2021-01-07 Nino Vieillard , Tadashi Kozuno , Bruno Scherrer , Olivier Pietquin , Rémi Munos , Matthieu Geist

When facing uncertainty, decision-makers want predictions they can trust. A machine learning provider can convey confidence to decision-makers by guaranteeing their predictions are distribution calibrated -- amongst the inputs that receive…

Machine Learning · Statistics 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

Knowing if a model will generalize to data 'in the wild' is crucial for safe deployment. To this end, we study model disagreement notions that consider the full predictive distribution - specifically disagreement based on Hellinger…

Machine Learning · Computer Science 2023-12-14 Mona Schirmer , Dan Zhang , Eric Nalisnick

This paper investigates the accuracy of generative models and the impact of knowledge transfer on their generation precision. Specifically, we examine a generative model for a target task, fine-tuned using a pre-trained model from a source…

Machine Learning · Statistics 2025-06-03 Xinyu Tian , Xiaotong Shen

Most current paradigms in visual mechanistic interpretability (MI) remain confined to interpreting internal units of the vision model via heuristic methods (e.g., top-$K$ activation retrieval or optimization with regularization). In this…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Guancheng Zhou , Yisi Luo , Zhengfu He , Zhenyu Jin , Xuyang Ge , Wentao Shu , Deyu Meng , Xipeng Qiu

Neural Network (Deep Learning) is a modern model in Artificial Intelligence and it has been exploited in Survival Analysis. Although several improvements have been shown by previous works, training an excellent deep learning model requires…

Machine Learning · Statistics 2023-04-14 Li Liu , Xiangeng Fang , Di Wang , Weijing Tang , Kevin He

This paper provides a detailed investigation of using the Kullback-Leibler (KL) Divergence as a way to compare and analyse game-levels, and hence to use the measure as the objective function of an evolutionary algorithm to evolve new…

Neural and Evolutionary Computing · Computer Science 2019-05-14 Simon M. Lucas , Vanessa Volz

For a multinomial distribution, suppose that we have prior knowledge of the sum of the probabilities of some categories. This allows us to construct a submodel in a full (i.e., no-restriction) model. Maximum likelihood estimation (MLE)…

Statistics Theory · Mathematics 2021-06-07 Yo Sheena

In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of 1) a weighted Mean Square Error (wMSE)…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Jiequan Cui , Zhuotao Tian , Zhisheng Zhong , Xiaojuan Qi , Bei Yu , Hanwang Zhang

For companies developing products or algorithms, it is important to understand the potential effects not only globally, but also on sub-populations of users. In particular, it is important to detect if there are certain groups of users that…

Machine Learning · Computer Science 2020-10-28 Amir Sepehri , Cyrus DiCiccio

Multicalibration is a notion of fairness for predictors that requires them to provide calibrated predictions across a large set of protected groups. Multicalibration is known to be a distinct goal than loss minimization, even for simple…

Machine Learning · Computer Science 2023-12-11 Jarosław Błasiok , Parikshit Gopalan , Lunjia Hu , Adam Tauman Kalai , Preetum Nakkiran

In binary classification tasks, accurate representation of probabilistic predictions is essential for various real-world applications such as predicting payment defaults or assessing medical risks. The model must then be well-calibrated to…

Machine Learning · Computer Science 2024-08-08 Agathe Fernandes Machado , Arthur Charpentier , Emmanuel Flachaire , Ewen Gallic , François Hu

In this paper, we discuss a property of the Kullback--Leibler divergence measured between two models of the family of the location-scale distributions. We show that, if model $M_1$ and model $M_2$ are represented by location-scale…

Statistics Theory · Mathematics 2016-04-08 Cristiano Villa

We study the problem of closeness testing for continuous distributions and its implications for causal discovery. Specifically, we analyze the sample complexity of distinguishing whether two multidimensional continuous distributions are…

Machine Learning · Computer Science 2025-03-11 Fateme Jamshidi , Sina Akbari , Negar Kiyavash

We derive a deterministic, non-asymptotic upper bound on the Kullback-Leibler (KL) divergence of the flow-matching distribution approximation. In particular, if the $L_2$ flow-matching loss is bounded by $\epsilon^2 > 0$, then the KL…

Machine Learning · Computer Science 2025-11-10 Maojiang Su , Jerry Yao-Chieh Hu , Sophia Pi , Han Liu

Learning and reasoning over graphs is increasingly done by means of probabilistic models, e.g. exponential random graph models, graph embedding models, and graph neural networks. When graphs are modeling relations between people, however,…

Machine Learning · Computer Science 2021-06-29 Maarten Buyl , Tijl De Bie

Variational inference with {\alpha}-divergences has been widely used in modern probabilistic machine learning. Compared to Kullback-Leibler (KL) divergence, a major advantage of using {\alpha}-divergences (with positive {\alpha} values) is…

Machine Learning · Computer Science 2019-09-10 Dilin Wang , Hao Liu , Qiang Liu

A canonical desideratum for prediction problems is that performance guarantees should hold not just on average over the population, but also for meaningful subpopulations within the overall population. But what constitutes a meaningful…

Machine Learning · Computer Science 2024-12-10 Jessica Dai , Nika Haghtalab , Eric Zhao

The ability to accurately align LLMs with diverse population groups on subjective questions would have great value. In this work, we show that adding simple supervision can more consistently improve the alignment of LLM-generated…

Computation and Language · Computer Science 2026-04-22 Gauri Kambhatla , Sanjana Gautam , Angela Zhang , Alex Liu , Ravi Srinivasan , Junyi Jessy Li , Matthew Lease

The popular K-means clustering algorithm potentially suffers from a major weakness for further analysis or interpretation. Some cluster may have disproportionately more (or fewer) points from one of the subpopulations in terms of some…

Machine Learning · Computer Science 2026-02-10 Guancheng Zhou , Haiping Xu , Hongkang Xu , Chenyu Li , Donghui Yan
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