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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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103206308411 · May 202619922001200920172026
48 results for bounded interventions

This work sets a universal lower bound for learning causal DAGs with atomic interventions.

problem Learning causal DAGs using only observational data results in a Markov equivalence class, requiring interventions to fully orient.
method Developed CBSP orderings and used them to prove a universal lower bound on the number of single-node interventions needed.
result The universal lower bound is within a factor of two of the minimum number of single-node interventions required to fully orient a given Markov equivalence class.

This paper tackles unknown causal graphs and soft interventions, establishing regret bounds and an efficient algorithm.

problem Designing causal bandit algorithms with unknown causal graphs and stochastic intervention models.
method Establishes novel regret bounds and presents a computationally efficient algorithm for unknown graph and soft interventions.
result Regret bounds for unknown graph and soft interventions, with a universal minimax lower bound.

Graph-coupled causal Bayesian optimization transfers information across related interventions.

problem Optimizing expensive systems where interventions are costly and causal effects are confounded.
method Ties intervention effects together through shared causal parameters, improving estimation.
result Information-gain and regret bounds show improved performance with shared mechanisms.

The paper tackles causal bandits with unknown SCMs and soft interventions, providing upper and lower bounds on regret.

problem Optimizing interventions in a causal system with unknown SCMs and soft interventions.
method Assumes unknown SCMs from a general class, allows infinite interventions, and provides upper and lower bounds on regret.
result General upper and lower bounds on cumulative achievable regret for various SCMs.

New algorithm reduces interventional strategy complexity for causal graph discovery.

problem Designing efficient interventional strategies for causal graph discovery.
method Developed an r-adaptive algorithm for causal graph discovery that minimizes the number of interventions.
result Achieved an approximation of O(min{r, log n} * n^{1/min{r, log n}}) for the verification number.

The paper presents efficient methods for identifying causal graphs with latent variables.

problem Recovering causal graphs with latent variables while minimizing intervention costs.
method Two intervention cost models (linear and identity) are considered. Algorithms are provided for both models.
result Upper bounds on the number of interventions needed for recovery, and approximation factors for the linear cost model.

Bandit is a framework for designing sequential experiments. In each experiment, a learner selects an arm AAA \in \mathcal{A} and obtains an observation corresponding to AA. Theoretically, the tight regret lower-bound for the general bandit is polynomial with respect to the number of arms A|\mathcal{A}|. This makes ba…

2018-06-06abs ↗pdf ↗

New algorithms improve causal graph discovery with adaptive interventions, even under worst-case interventional costs.

problem Discover causal relationships from data with adaptive interventions and node-dependent costs.
method Define new benchmarks and provide adaptive search algorithms for causal graph discovery.
result Logarithmic approximations achieved under various settings: atomic, bounded size interventions and generalized cost objectives.

We consider testing and learning problems on causal Bayesian networks as defined by Pearl (Pearl, 2009). Given a causal Bayesian network M\mathcal{M} on a graph with nn discrete variables and bounded in-degree and bounded `confounded components', we show that O(logn)O(\log n) interventions on an unknown causal Bayesian ne…

2018-05-24abs ↗pdf ↗

Game theory approach to predicting and responding to interventions based on causal relationships.

problem Optimizing predictions and interventions in response to observational data.
method Prediction-intervention game framework, focusing on invariant subsets of covariates.
result Stable-blanket predictors are optimal for certain follower objectives and under specific conditions.

Develops a method to efficiently learn causal DAGs using directed clique trees.

problem Efficiently learning causal DAGs in the presence of large cliques.
method Decomposes DAGs into independently orientable components using directed clique trees and designs a two-phase intervention algorithm.
result Proves that the number of single-node interventions necessary to orient any DAG in an EC is at least the sum of half the size of the largest cliques in each chain component of the essential graph.

The paper tackles matching a desired mean in causal systems through shift interventions.

problem Matching a desired mean in causal systems.
method Defining Markov equivalence classes, proposing active learning strategies, deriving lower bounds.
result Proposed active learning strategies require fewer interventions than previous approaches, especially for certain graph classes.

This paper tackles causal interactions in mixtures of DAGs using interventions.

problem Learning causal interactions among variables governed by a mixture of causal systems.
method Establishes necessary and sufficient conditions for intervention size, designs an adaptive algorithm.
result Identifies true edges in a mixture of DAGs using optimal or near-optimal interventions.

We consider the problem of learning causal networks with interventions, when each intervention is limited in size under Pearl's Structural Equation Model with independent errors (SEM-IE). The objective is to minimize the number of experiments to discover the causal directions of all the edges in a causal graph. Previou…

2015-10-30abs ↗pdf ↗

PULSE estimator improves prediction in causal inference with bounded interventions.

problem Optimizing causal models for bounded interventions.
method Relates K-class estimators to anchor regression, introduces PULSE estimator for minimization of mean squared prediction error with bounded constraints.
result PULSE estimator outperforms other estimators in real data and simulation experiments, especially in weak instrument settings.

New algorithms for efficient causal interventions with budget constraints and without constraints.

problem Efficiently learning best interventions in causal graphs with budget constraints.
method Developed algorithms for both budgeted and non-budgeted causal bandits, optimizing regret and side-information usage.
result Proposed algorithms minimize cumulative regret and perform better than standard methods.

We study the problem of efficiently estimating the effect of an intervention on a single variable (atomic interventions) using observational samples in a causal Bayesian network. Our goal is to give algorithms that are efficient in both time and sample complexity in a non-parametric setting. Tian and Pearl (AAAI `02) h…

2020-02-11abs ↗pdf ↗

New method for selective prediction under interventions learns causal structure from data.

problem Tight uncertainty sets in selective conformal prediction under unknown interventional settings.
method Partial causal structure learning for descendant indicators, contamination-robust coverage theorem, algorithms for descendant discovery and distance estimation.
result Valid selective conformal prediction under contamination up to 30% with controlled coverage.

Study efficient algorithms for identifying minimum interventional sets to learn causal relationships.

problem Identify the smallest set of interventions to learn causal relationships between a subset of edges.
method Develop algorithms for subset verification and search problems under assumptions of faithfulness, causal sufficiency, and ideal interventions.
result For subset verification, an efficient algorithm is provided to compute a minimum sized interventional set.

Develops a personalized reinforcement learning algorithm for dyadic health interventions.

problem Personalizing health interventions for dyadic relationships in mobile health.
method Dyadic Reinforcement Learning (dyadic RL), a Bayesian and hierarchical online algorithm.
result Established a regret bound and demonstrated empirical performance through simulations and real data.

Directed acyclic graph (DAG) models are popular for capturing causal relationships. From observational and interventional data, a DAG model can only be determined up to its \emph{interventional Markov equivalence class} (I-MEC). We investigate the size of MECs for random DAG models generated by uniformly sampling and o…

2019-03-05abs ↗pdf ↗

Motivated by applications in computational advertising and systems biology, we consider the problem of identifying the best out of several possible soft interventions at a source node VV in an acyclic causal directed graph, to maximize the expected value of a target node YY (located downstream of VV). Our setting im…

2017-01-10abs ↗pdf ↗

Proposes a method to create robust linear models with noisy proxies of unobserved variables.

problem Learning robust linear models to handle interventions on unobserved variables with noisy proxies.
method Regularization term that balances in-distribution performance and robustness to interventions.
result Single proxy can create prediction optimal estimators under interventions of bounded strength.

A new experimental design method for combinatorial interventions reduces complexity and improves accuracy.

problem Efficiently conducting all possible combinatorial interventions with multiple treatments and potential interactions.
method Probabilistic factorial experimental design, applying random combinations of treatments and adapting over multiple rounds.
result Optimal dosage of 1/2 for each treatment yields near-optimal design for estimating any k-way interaction model.

The study quantifies the information needed for causal queries at different levels of Pearl's hierarchy.

problem How much additional information is needed for interventional and counterfactual queries compared to observational queries?
method Formalized via query-class description length, using Kolmogorov complexity of answer oracles induced by SCMs.
result Binary acyclic SCMs show a quadratic gap between observational and interventional descriptions, and a logarithmic gap between interventional and counterfactual descriptions.

RoME optimizes mobile health interventions by modeling user and time-specific effects.

problem Challenges in optimizing mobile health interventions due to participant heterogeneity, nonstationarity, and nonlinear relationships.
method RoME uses a Robust Mixed-Effects contextual bandit algorithm with random effects, network cohesion penalties, and debiased machine learning.
result RoME achieves robust regret bounds even with complex baseline rewards, demonstrating superior performance in simulations and studies.

We study how to learn optimal interventions sequentially given causal information represented as a causal graph along with associated conditional distributions. Causal modeling is useful in real world problems like online advertisement where complex causal mechanisms underlie the relationship between interventions and …

2019-10-11abs ↗pdf ↗

New findings show single-treatment effects are unidentifiable in factorial experiments.

problem Identifying the effect of a single intervention in factorial experiments.
method Formalized sufficient conditions for the identifiability of single-treatment effects and developed nonparametric sharp bounds.
result Researchers must justify assumptions for extrapolating single-treatment effects.

Method estimates causal effects from combined interventional and observational data.

problem Estimating causal effects from unobserved confounders.
method Causal reduction method replacing latent confounders with a single latent confounder.
result Improves estimation accuracy from combined data without observing all confounders.

The paper shows how to learn causal representations with few environments and finite samples.

problem Learning causal representations from limited data and environments.
method Explicit, finite-sample guarantees with a logarithmic number of interventions.
result Consistent recovery of latent causal graph, mixing matrix, and unknown intervention targets.

Evaluation metrics for prediction models don't fully reflect intervention impact.

problem Standard metrics don't accurately reflect reduction in patient outcomes from model use.
method Synthesized and discussed various evaluation methods, analyzed with simulated and real data.
result Evaluations without interventional data are limited or require strong assumptions.

We study the problem of using causal models to improve the rate at which good interventions can be learned online in a stochastic environment. Our formalism combines multi-arm bandits and causal inference to model a novel type of bandit feedback that is not exploited by existing approaches. We propose a new algorithm t…

2016-06-10abs ↗pdf ↗

The paper tackles causal bandits for SEMs, proposing algorithms that avoid estimating 2N2^N reward distributions.

problem Designing an optimal sequence of interventions in causal graphical models to minimize cumulative regret.
method Proposes two algorithms for causal bandits for linear structural equation models (SEMs), avoiding the estimation of 2N2^N reward distributions.
result Cumulative regrets scale as ildeO(dL+12NT) ilde{\cal O} (d^{L+\frac{1}{2}} \sqrt{NT}) under bounded noise and parameter space.

Study functional confounders in causal inference, enabling estimable effects.

problem Causal inference challenges with functional confounders violating positivity.
method Functional interventions, functional positivity, gradient fields, Level-set Orthogonal Descent Estimation (LODE).
result Valid causal effect estimation under certain conditions.

Estimates joint causal effects using single-variable interventions on nonlinear models.

problem Estimating joint causal effects from single-variable interventions.
method Identifiability result and practical estimator for decomposing causal effects.
result Joint effects can be inferred without joint interventional data for nonlinear additive models.

This paper tackles CRL for multi-node interventions, achieving identifiability guarantees.

problem CRL under unknown multi-node interventions, focusing on single-node assumptions.
method Establishes identifiability results for general latent causal models under stochastic interventions.
result Identifiability up to ancestors using soft interventions, perfect identifiability using hard interventions.

The paper tackles generalization in machine learning by finding invariant representations of data.

problem Obtaining robust models that generalize well across different training environments.
method The paper introduces the concept of εε-approximate invariance to study the robustness of models to unseen SEMs.
result The paper provides finite-sample out-of-distribution generalization guarantees for approximate invariance in linear SEMs.

This work tackles causal graph discovery with stochastic interventions to minimize the number of interventions.

problem Discovering the true causal graph from observational data with limited interventions.
method Proposes a stochastic intervention model and studies verification and search problems with approximation algorithms.
result Provides approximation algorithms with competitive ratios for verification and search problems.

Unified framework for estimating indirect effects in observational studies with unmeasured confounding.

problem Challenges in evaluating indirect effects due to unmeasured confounding and unethical exposures.
method Developed a unified identification and estimation framework using proximal causal inference.
result Unified identification and estimation of PIIE and causal effect of an intervening variable in settings with pervasive unmeasured confounding.

Causal diagrams based on do intervention are useful tools to formalize, process and understand causal relationship among variables. However, the do intervention has controversial interpretation of causal questions for non-manipulable variables, and it also lacks the power to check the conditions related to counterfactu…

2019-07-24abs ↗pdf ↗