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Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

统计理论 · 数学 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

Vision-language models (VLMs) exhibit remarkable zero-shot capabilities but struggle with distribution shifts in downstream tasks when labeled data is unavailable, which has motivated the development of Test-Time Adaptation (TTA) to improve…

计算机视觉与模式识别 · 计算机科学 2025-08-14 Yiwen Liang , Hui Chen , Yizhe Xiong , Zihan Zhou , Mengyao Lyu , Zijia Lin , Shuaicheng Niu , Sicheng Zhao , Jungong Han , Guiguang Ding

Long-term training of large language models (LLMs) requires maintaining stable exploration to prevent the model from collapsing into sub-optimal behaviors. Entropy is crucial in this context, as it controls exploration and helps avoid…

机器学习 · 计算机科学 2026-02-03 Kai Yang , Xin Xu , Yangkun Chen , Weijie Liu , Jiafei Lyu , Zichuan Lin , Deheng Ye , Saiyong Yang

Analytic continuation of numerical data obtained in imaginary time or frequency has become an essential part of many branches of quantum computational physics. It is, however, an ill-conditioned procedure and thus a hard numerical problem.…

强关联电子 · 物理学 2016-08-18 Dominic Bergeron , A. -M. S. Tremblay

Weighting methods are used in observational studies to adjust for covariate imbalances between treatment and control groups. Entropy balancing (EB) is an alternative to inverse probability weighting with an estimated propensity score. The…

统计方法学 · 统计学 2022-04-25 David Källberg , Ingeborg Waernbaum

One of the most influential results in neural network theory is the universal approximation theorem [1, 2, 3] which states that continuous functions can be approximated to within arbitrary accuracy by single-hidden-layer feedforward neural…

机器学习 · 计算机科学 2021-12-16 Clemens Hutter , Recep Gül , Helmut Bölcskei

The growing study of time series, especially those related to nonlinear systems, has challenged the methodologies to characterize and classify dynamical structures of a signal. Here we conceive a new diagnostic tool for time series based on…

其他统计学 · 统计学 2017-07-05 G. Corso , T. L. Prado , G. Z. dos S. Lima , S. R. Lopes

A platform trial with a master protocol provides an infrastructure to ethically and efficiently evaluate multiple treatment options in multiple diseases. Given that certain study drugs can enter or exit a platform trial, the randomization…

统计方法学 · 统计学 2025-07-15 Tianyu Zhan , Jane Zhang , Lei Shu , Yihua Gu

Current state-of-the-art solvers for mixed-integer programming (MIP) problems are designed to perform well on a wide range of problems. However, for many real-world use cases, problem instances come from a narrow distribution. This has…

最优化与控制 · 数学 2022-02-15 Charly Robinson La Rocca , Emma Frejinger , Jean-François Cordeau

Entropy minimization (EM) trains the model to concentrate even more probability mass on its most confident outputs. We show that this simple objective alone, without any labeled data, can substantially improve large language models' (LLMs)…

机器学习 · 计算机科学 2025-05-22 Shivam Agarwal , Zimin Zhang , Lifan Yuan , Jiawei Han , Hao Peng

The entropic risk measure is widely used in high-stakes decision-making across economics, management science, finance, and safety-critical control systems because it captures tail risks associated with uncertain losses. However, when data…

最优化与控制 · 数学 2026-01-05 Utsav Sadana , Erick Delage , Angelos Georghiou

Entropy is a measure of self-information which is used to quantify losses. Entropy was developed in thermodynamics, but is also used to compare probabilities based on their deviating information content. Corresponding model uncertainty is…

概率论 · 数学 2018-01-23 Alois Pichler , Ruben Schlotter

The goal of unbiased learning to rank (ULTR) is to leverage implicit user feedback for optimizing learning-to-rank systems. Among existing solutions, automatic ULTR algorithms that jointly learn user bias models (i.e., propensity models)…

信息检索 · 计算机科学 2023-07-11 Dan Luo , Lixin Zou , Qingyao Ai , Zhiyu Chen , Chenliang Li , Dawei Yin , Brian D. Davison

Information theory allows us to investigate information processing in neural systems in terms of information transfer, storage and modification. Especially the measure of information transfer, transfer entropy, has seen a dramatic surge of…

We present a procedure for effective estimation of entropy and mutual information from small-sample data, and apply it to the problem of inferring high-dimensional gene association networks. Specifically, we develop a James-Stein-type…

机器学习 · 统计学 2009-08-08 Jean Hausser , Korbinian Strimmer

We present an iterative inverse reinforcement learning algorithm to infer optimal cost functions in continuous spaces. Based on a popular maximum entropy criteria, our approach iteratively finds a weight improvement step and proposes a…

机器学习 · 计算机科学 2025-05-14 Sarmad Mehrdad , Avadesh Meduri , Ludovic Righetti

The long-tailed distribution of sequence lengths in LLM serving and reinforcement learning (RL) sampling causes significant computational waste due to excessive padding in batched inference. Existing methods rely on auxiliary models for…

人工智能 · 计算机科学 2026-04-03 Huanyi Xie , Yubin Chen , Liangyu Wang , Lijie Hu , Di Wang

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

数据分析、统计与概率 · 物理学 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

We consider the problem of approximating the empirical Shannon entropy of a high-frequency data stream under the relaxed strict-turnstile model, when space limitations make exact computation infeasible. An equivalent measure of entropy is…

统计计算 · 统计学 2013-04-18 Peter Clifford , Ioana Ada Cosma

Problems of probabilistic inference and decision making under uncertainty commonly involve continuous random variables. Often these are discretized to a few points, to simplify assessments and computations. An alternative approximation is…

人工智能 · 计算机科学 2013-03-08 William B. Poland , Ross D. Shachter