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Tree structures are ubiquitous in data across many domains, and many datasets are naturally modelled by unobserved tree structures. In this paper, first we review the theory of random fragmentation processes [Bertoin, 2006], and a number of…

Machine Learning · Statistics 2015-09-17 Hong Ge , Yarin Gal , Zoubin Ghahramani

This work examines risk bounds for nonparametric distributional regression estimators. For convex-constrained distributional regression, general upper bounds are established for the continuous ranked probability score (CRPS) and the…

Curriculum Reinforcement Learning (CRL) aims to create a sequence of tasks, starting from easy ones and gradually learning towards difficult tasks. In this work, we focus on the idea of framing CRL as interpolations between a source…

Machine Learning · Computer Science 2022-10-20 Peide Huang , Mengdi Xu , Jiacheng Zhu , Laixi Shi , Fei Fang , Ding Zhao

We present a distributional approach to theoretical analyses of reinforcement learning algorithms for constant step-sizes. We demonstrate its effectiveness by presenting simple and unified proofs of convergence for a variety of…

Machine Learning · Computer Science 2020-03-30 Philip Amortila , Doina Precup , Prakash Panangaden , Marc G. Bellemare

Several tasks in information retrieval (IR) rely on assumptions regarding the distribution of some property (such as term frequency) in the data being processed. This thesis argues that such distributional assumptions can lead to incorrect…

Information Retrieval · Computer Science 2019-04-02 Casper Petersen

Large language models (LLMs) frequently generate multiple candidate responses for a given prompt, yet selecting the most reliable one remains challenging, especially when correctness diverges from surface-level majority agreement. Existing…

Computation and Language · Computer Science 2026-04-15 Manh Nguyen , Sunil Gupta , Hung Le

We consider the problem of learning over non-stationary ranking streams. The rankings can be interpreted as the preferences of a population and the non-stationarity means that the distribution of preferences changes over time. Our goal is…

Machine Learning · Statistics 2020-10-28 Ekhine Irurozki , Jesus Lobo , Aritz Perez , Javier Del Ser

To devise efficient solutions for approximating a mean partition in consensus clustering, Dimitriadou et al. [3] presented a necessary condition of optimality for a consensus function based on least square distances. We show that their…

Machine Learning · Computer Science 2016-04-27 Brijnesh J. Jain

Consider a population of $N$ individuals, each having $d\geq 1$ different traits, and an additive measure, called dispersion, which rewards large pairwise separations between traits. The goal is to select $M\leq N$ individuals such that…

Statistical Mechanics · Physics 2026-05-01 Fabio Deelan Cunden , Noemi Cuppone , Giovanni Gramegna , Pierpaolo Vivo

Captioning models are typically trained using the cross-entropy loss. However, their performance is evaluated on other metrics designed to better correlate with human assessments. Recently, it has been shown that reinforcement learning (RL)…

Computer Vision and Pattern Recognition · Computer Science 2017-12-29 Sang Phan , Gustav Eje Henter , Yusuke Miyao , Shin'ichi Satoh

Representing probability distributions by the gradient of their density functions has proven effective in modeling a wide range of continuous data modalities. However, this representation is not applicable in discrete domains where the…

Machine Learning · Computer Science 2023-01-19 Chenlin Meng , Kristy Choi , Jiaming Song , Stefano Ermon

We prove a new formula for the generating function of multitype Cayley trees counted according to their degree distribution. Using this formula we recover and extend several enumerative results about trees. In particular, we extend some…

Combinatorics · Mathematics 2013-04-08 Olivier Bernardi , Alejandro H. Morales

Statistical learning theory is the foundation of machine learning, providing theoretical bounds for the risk of models learned from a (single) training set, assumed to issue from an unknown probability distribution. In actual deployment,…

Machine Learning · Computer Science 2024-10-25 Michele Caprio , Maryam Sultana , Eleni Elia , Fabio Cuzzolin

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Humans perform co-saliency detection by first summarizing the consensus knowledge in the whole group and then searching corresponding objects in each image. Previous methods usually lack robustness, scalability, or stability for the first…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Ni Zhang , Junwei Han , Nian Liu , Ling Shao

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

Machine Learning · Computer Science 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

Data summarization aims at utilizing a small-scale summary to represent massive datasets as a whole, which is useful for visualization and information sipped generation. However, most existing studies of hierarchical summarization only work…

Databases · Computer Science 2024-07-22 Yuqi Chen , Xin Huang , Bilian Chen

In this paper, we present an approach for evaluating attribution maps, which play a central role in interpreting the predictions of convolutional neural networks (CNNs). We show that the widely used insertion/deletion metrics are…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Lars Nieradzik , Henrike Stephani , Janis Keuper

This paper presents a class of new algorithms for distributed statistical estimation that exploit divide-and-conquer approach. We show that one of the key benefits of the divide-and-conquer strategy is robustness, an important…

Statistics Theory · Mathematics 2018-08-29 Stanislav Minsker , Nate Strawn

We focus on the distribution regression problem: regressing to vector-valued outputs from probability measures. Many important machine learning and statistical tasks fit into this framework, including multi-instance learning and point…

Statistics Theory · Mathematics 2016-10-24 Zoltan Szabo , Bharath Sriperumbudur , Barnabas Poczos , Arthur Gretton