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Learning directed acyclic graphs using both observational and interventional data is now a fundamentally important problem due to recent technological developments in genomics that generate such single-cell gene expression data at a very…

统计方法学 · 统计学 2018-04-05 Yuhao Wang , Liam Solus , Karren Dai Yang , Caroline Uhler

Causal discovery from observational and interventional data is challenging due to limited data and non-identifiability: factors that introduce uncertainty in estimating the underlying structural causal model (SCM). Selecting experiments…

机器学习 · 计算机科学 2022-10-24 Panagiotis Tigas , Yashas Annadani , Andrew Jesson , Bernhard Schölkopf , Yarin Gal , Stefan Bauer

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

机器学习 · 计算机科学 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

We study experiment design for unique identification of the causal graph of a simple SCM, where the graph may contain cycles. The presence of cycles in the structure introduces major challenges for experiment design as, unlike acyclic…

机器学习 · 计算机科学 2023-12-15 Ehsan Mokhtarian , Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

机器学习 · 计算机科学 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

In this study, we investigate the problem of classifying, characterizing, and designing efficient algorithms for hard inference problems on planar graphs, in the limit of infinite size. The problem is considered hard if, for a deterministic…

统计理论 · 数学 2016-01-01 Iuliana Teodorescu , Razvan Teodorescu , Pranav Warman

Sparsity-constrained optimization has wide applicability in machine learning, statistics, and signal processing problems such as feature selection and compressive Sensing. A vast body of work has studied the sparsity-constrained…

机器学习 · 统计学 2013-07-17 Sohail Bahmani , Bhiksha Raj , Petros Boufounos

We introduce a new Collaborative Causal Discovery problem, through which we model a common scenario in which we have multiple independent entities each with their own causal graph, and the goal is to simultaneously learn all these causal…

机器学习 · 计算机科学 2021-06-08 Raghavendra Addanki , Shiva Prasad Kasiviswanathan

Identifying causal effects is a key problem of interest across many disciplines. The two long-standing approaches to estimate causal effects are observational and experimental (randomized) studies. Observational studies can suffer from…

机器学习 · 计算机科学 2024-07-09 Sepehr Elahi , Sina Akbari , Jalal Etesami , Negar Kiyavash , Patrick Thiran

It is known that from purely observational data, a causal DAG is identifiable only up to its Markov equivalence class, and for many ground truth DAGs, the direction of a large portion of the edges will be remained unidentified. The golden…

机器学习 · 计算机科学 2019-10-15 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash

Graph sparsification is a well-established technique for accelerating graph-based learning algorithms, which uses edge sampling to approximate dense graphs with sparse ones. Because the sparsification error is random and unknown, users must…

机器学习 · 计算机科学 2025-03-12 Siyao Wang , Miles E. Lopes

In this article we prove that the minimum-degree greedy algorithm, with adversarial tie-breaking, is a $(2/3)$-approximation for the Maximum Independent Set problem on interval graphs. We show that this is tight, even on unit interval…

数据结构与算法 · 计算机科学 2024-03-19 Steven Chaplick , Martin Frohn , Steven Kelk , Johann Lottermoser , Matus Mihalak

A fundamental problem in network experiments is selecting an appropriate experimental design in order to precisely estimate a given causal effect of interest. In this work, we propose the Conflict Graph Design, a general approach for…

统计方法学 · 统计学 2026-01-14 Vardis Kandiros , Charilaos Pipis , Constantinos Daskalakis , Christopher Harshaw

We introduce the problem of active causal structure learning with advice. In the typical well-studied setting, the learning algorithm is given the essential graph for the observational distribution and is asked to recover the underlying…

机器学习 · 计算机科学 2023-06-01 Davin Choo , Themis Gouleakis , Arnab Bhattacharyya

We study the problem of identifying the causal relationship between two discrete random variables from observational data. We recently proposed a novel framework called entropic causality that works in a very general functional model but…

信息论 · 计算机科学 2017-01-31 Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath , Babak Hassibi

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

机器学习 · 计算机科学 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Using both observational and experimental data, a causal discovery process can identify the causal relationships between variables. A unique adaptive intervention design paradigm is presented in this work, where causal directed acyclic…

机器学习 · 计算机科学 2025-05-12 Abdelmonem Elrefaey , Rong Pan

We consider the optimisation problem of adding $k$ links to a given network, such that the resulting effective graph resistance is as small as possible. The problem was recently proven to be NP-hard, such that optimal solutions obtained…

数据结构与算法 · 计算机科学 2025-01-08 Massimo A. Achterberg , Robert E. Kooij

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

机器人学 · 计算机科学 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

Computing the size of maximum independent sets is a NP-hard problem for fixed graphs. Characterizing and designing efficient algorithms to estimate this independence number for random graphs are notoriously difficult and still largely open…

概率论 · 数学 2020-10-01 Paola Bermolen , Matthieu Jonckheere , Federico Larroca , Manuel Saenz