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Training models that perform well under distribution shifts is a central challenge in machine learning. In this paper, we introduce a modeling framework where, in addition to training data, we have partial structural knowledge of the…

机器学习 · 计算机科学 2021-10-28 Tobias Sutter , Andreas Krause , Daniel Kuhn

Power-law distributions are typical macroscopic features occurring in almost all complex systems observable in nature. As a result, researchers in quantitative analyses must often generate random synthetic variates obeying power-law…

物理与社会 · 物理学 2014-11-11 Filippo Radicchi

We present a graph-theoretic model of consumer choice, where final decisions are shown to be influenced by information and knowledge, in the form of individual awareness, discriminating ability, and perception of market structure. Building…

物理与社会 · 物理学 2016-02-17 A. E. Biondo , A. Giarlotta , A. Pluchino , A. Rapisarda

We analyze a simple dynamical network model which describes the limited capacity of nodes to process the input information. For a suitable choice of the parameters, the information flow pattern is characterized by exponential distribution…

数据分析、统计与概率 · 物理学 2012-04-19 Daniele Marinazzo , Mario Pellicoro , Guorong Wu , Leonardo Angelini , Sebastiano Stramaglia

Learning under one-sided feedback (i.e., where we only observe the labels for examples we predicted positively on) is a fundamental problem in machine learning -- applications include lending and recommendation systems. Despite this, there…

机器学习 · 计算机科学 2020-10-14 Heinrich Jiang , Qijia Jiang , Aldo Pacchiano

We develop a novel framework for costly information acquisition in which a decision-maker learns about an unobserved state by choosing a signal distribution, with the cost of information determined by the distribution of noise in the…

理论经济学 · 经济学 2025-03-27 Peter Achim , Kemal Ozbek

In this paper, we consider several efficient data structures for the problem of sampling from a dynamically changing discrete probability distribution, where some prior information is known on the distribution of the rates, in particular…

计算工程、金融与科学 · 计算机科学 2021-10-13 Federico D'Ambrosio , Hans L. Bodlaender , Gerard T. Barkema

English words and the outputs of many other natural processes are well-known to follow a Zipf distribution. Yet this thoroughly-established property has never been shown to help compress or predict these important processes. We show that…

We introduce a theoretical model of information acquisition under resource limitations in a noisy environment. An agent must guess the truth value of a given Boolean formula $\varphi$ after performing a bounded number of noisy tests of the…

人工智能 · 计算机科学 2020-05-22 Matvey Soloviev , Joseph Y. Halpern

We propose a general framework for sequential and dynamic acquisition of useful information in order to solve a particular task. While our goal could in principle be tackled by general reinforcement learning, our particular setting is…

机器学习 · 统计学 2016-02-09 He He , Paul Mineiro , Nikos Karampatziakis

In this paper, we consider a random network such that there could be a link between any two nodes in the network with a certain probability (plink). Diffusion is the phenomenon of spreading information throughout the network, starting from…

社会与信息网络 · 计算机科学 2015-11-23 Natarajan Meghanathan

For fitness preferential attachment random networks, we define the empirical degree and pair measure, which counts the number of vertices of a given degree and the number of edges with given fits, and the sample path empirical degree…

信息论 · 计算机科学 2014-06-13 K. Doku-Amponsah , F. O. Mettle , T. Narh-Ansah

We study a setting where a group of agents, each receiving partially informative private signals, seek to collaboratively learn the true underlying state of the world (from a finite set of hypotheses) that generates their joint observation…

系统与控制 · 电气工程与系统科学 2019-07-09 Aritra Mitra , John A. Richards , Shreyas Sundaram

The problem of how to properly quantify redundant information is an open question that has been the subject of much recent research. Redundant information refers to information about a target variable S that is common to two or more…

信息论 · 计算机科学 2017-07-14 Robin A. A. Ince

Efficient sampling and remote estimation are critical for a plethora of wireless-empowered applications in the Internet of Things and cyber-physical systems. Motivated by such applications, this work proposes decentralized policies for the…

系统与控制 · 电气工程与系统科学 2022-06-09 Xingran Chen , Xinyu Liao , Shirin Saeedi Bidokhti

Information measures are often used to assess the efficacy of neural networks, and learning rules can be derived through optimization procedures on such measures. In biological neural networks, computation is restricted by the amount of…

神经元与认知 · 定量生物学 2021-03-12 Dmytro Grytskyy , Renaud B. Jolivet

We provide rigorous guarantees on learning with the weighted trace-norm under arbitrary sampling distributions. We show that the standard weighted trace-norm might fail when the sampling distribution is not a product distribution (i.e. when…

机器学习 · 计算机科学 2011-06-23 Rina Foygel , Ruslan Salakhutdinov , Ohad Shamir , Nathan Srebro

Research into several aspects of robot-enabled reconnaissance of random fields is reported. The work has two major components: the underlying theory of information acquisition in the exploration of unknown fields and the results of…

系统与控制 · 计算机科学 2011-07-28 Dimitar Baronov , John Baillieul

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…

信息检索 · 计算机科学 2019-04-02 Casper Petersen

Learning is a distinctive feature of intelligent behaviour. High-throughput experimental data and Big Data promise to open new windows on complex systems such as cells, the brain or our societies. Yet, the puzzling success of Artificial…

机器学习 · 计算机科学 2022-05-04 Matteo Marsili , Yasser Roudi