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We study the problem of reducing test-time acquisition costs in classification systems. Our goal is to learn decision rules that adaptively select sensors for each example as necessary to make a confident prediction. We model our system as…

机器学习 · 统计学 2015-10-27 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

We present a novel form of Fourier analysis, and associated signal processing concepts, for signals (or data) indexed by edge-weighted directed acyclic graphs (DAGs). This means that our Fourier basis yields an eigendecomposition of a…

信号处理 · 电气工程与系统科学 2025-01-29 Bastian Seifert , Chris Wendler , Markus Püschel

We study a distributed learning problem in which learning agents are embedded in a directed acyclic graph (DAG). There is a fixed and arbitrary distribution over feature/label pairs, and each agent or vertex in the graph is able to directly…

机器学习 · 计算机科学 2025-10-13 Michael Kearns , Aaron Roth , Emily Ryu

Acyclic model, often depicted as a directed acyclic graph (DAG), has been widely employed to represent directional causal relations among collected nodes. In this article, we propose an efficient method to learn linear non-Gaussian DAG in…

机器学习 · 统计学 2021-11-02 Ruixuan Zhao , Xin He , Junhui Wang

This work addresses the NP-Hard problem of acyclic directed acyclic graph (DAG) partitioning problem. The acyclic partitioning problem is defined as partitioning the vertex set of a given directed acyclic graph into disjoint and…

数据结构与算法 · 计算机科学 2022-07-28 M. Yusuf Özkaya , Ümit V. Çatalyürek

We consider the function computation problem in a three node network with one encoder and two decoders. The encoder has access to two correlated sources $X$ and $Y$. The encoder encodes $X^n$ and $Y^n$ into a message which is given to two…

信息论 · 计算机科学 2016-10-05 Jithin Ravi , Bikash Kumar Dey

The guessing number of a directed graph (digraph), equivalent to the entropy of that digraph, was introduced as a direct criterion on the solvability of a network coding instance. This paper makes two contributions on the guessing number.…

信息论 · 计算机科学 2015-03-17 Maximilien Gadouleau , Soren Riis

We establish a new framework for statistical estimation of directed acyclic graphs (DAGs) when data are generated from a linear, possibly non-Gaussian structural equation model. Our framework consists of two parts: (1) inferring the…

机器学习 · 统计学 2013-11-15 Po-Ling Loh , Peter Bühlmann

Probabilistic graphical models are graphical representations of probability distributions. Graphical models have applications in many fields including biology, social sciences, linguistic, neuroscience. In this paper, we propose directed…

机器学习 · 统计学 2014-06-10 Ru Wang , Jie Peng

We introduce a novel measure for quantifying the error in input predictions. The error is based on a minimum-cost hyperedge cover in a suitably defined hypergraph and provides a general template which we apply to online graph problems. The…

Estimating a directed acyclic graph (DAG) from observational data represents a canonical learning problem and has generated a lot of interest in recent years. Research has focused mostly on the following two cases: when no information…

应用统计 · 统计学 2019-02-15 Syed Rahman , Kshitij Khare , George Michailidis , Carlos Martinez , Juan Carulla

We study the communication rate of coding schemes for interactive communication that transform any two-party interactive protocol into a protocol that is robust to noise. Recently, Haeupler (FOCS '14) showed that if an $\epsilon > 0$…

信息论 · 计算机科学 2016-05-31 Bernhard Haeupler , Ameya Velingker

We consider a mobile edge computing problem, in which mobile users offload their computation tasks to computing nodes (e.g., base stations) at the network edge. The edge nodes compute the requested functions and communicate the computed…

信息论 · 计算机科学 2017-06-26 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

统计方法学 · 统计学 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

In this paper, we study the zero-error capacity of channels with memory, which are represented by graphs. We provide a method to construct code for any graph with one edge, thereby determining a lower bound on its zero-error capacity.…

信息论 · 计算机科学 2024-06-26 Qi Cao , Qi Chen , Baoming Bai

The capacity of a graph is defined as the rate of exponential growth of independent sets in the strong powers of the graph. In the strong power an edge connects two sequences if at each position their letters are equal or adjacent. We…

信息论 · 计算机科学 2016-11-17 Daniel Cullina , Marco Dalai , Yury Polyanskiy

DAG (directed acyclic graph) tasks are widely used to model parallel real-time workload. The real-time performance of a DAG task not only depends on its total workload, but also its graph structure. Intuitively, with the same total…

分布式、并行与集群计算 · 计算机科学 2023-07-26 Qingqiang He , Nan Guan , Mingsong Lv

The zero-error capacity of a classical channel is expressed in terms of the independence number of some graph and its tensor powers. This quantity is hard to compute even for small graphs such as the cycle of length seven, so upper bounds…

量子物理 · 物理学 2015-05-18 Salman Beigi

Causal discovery, the learning of causality in a data mining scenario, has been of strong scientific and theoretical interest as a starting point to identify "what causes what?" Contingent on assumptions and a proper learning algorithm, it…

统计方法学 · 统计学 2022-05-23 Gabriel Ruiz , Oscar Hernan Madrid Padilla , Qing Zhou

The modeling of conversational context plays a vital role in emotion recognition from conversation (ERC). In this paper, we put forward a novel idea of encoding the utterances with a directed acyclic graph (DAG) to better model the…

计算与语言 · 计算机科学 2021-09-17 Weizhou Shen , Siyue Wu , Yunyi Yang , Xiaojun Quan