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In the context of having an instrumental variable, the standard practice in causal inference begins by targeting an effect of interest and proceeds by formulating assumptions enabling its identification. We turn this around by adhering to…

Statistics Theory · Mathematics 2026-05-25 Carlos García Meixide , Mark J. van der Laan

The ground state critical properties of the Random Field Ising Model (RFIM) on the diamond hierarchical lattice are investigated via a combining method encompassing real space renormalization group and an exact recurrence procedure. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexandre Rosas , Sérgio Coutinho

We present a new partial order reduction method for reachability analysis of nondeterministic labeled transition systems over metric spaces. Nondeterminism arises from both the choice of the initial state and the choice of actions, and the…

Logic in Computer Science · Computer Science 2018-05-14 Chuchu Fan , Zhenqi Huang , Sayan Mitra

A parametric point process model is developed, with modeling based on the assumption that sequential observations often share latent phenomena, while also possessing idiosyncratic effects. An alternating optimization method is proposed to…

Machine Learning · Statistics 2018-02-14 Hongteng Xu , Lawrence Carin , Hongyuan Zha

In queuing theory, it is usual to have some models with a "reset" of the queue. In terms of lattice paths, it is like having the possibility of jumping from any altitude to zero. These objects have the interesting feature that they do not…

Combinatorics · Mathematics 2023-06-22 Cyril Banderier , Michael Wallner

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…

Machine Learning · Computer Science 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

We consider the development of adaptive, instance-dependent algorithms for interactive decision making (bandits, reinforcement learning, and beyond) that, rather than only performing well in the worst case, adapt to favorable properties of…

Machine Learning · Computer Science 2023-04-26 Andrew Wagenmaker , Dylan J. Foster

Object-centric representations are a promising path toward more systematic generalization by providing flexible abstractions upon which compositional world models can be built. Recent work on simple 2D and 3D datasets has shown that models…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Thomas Kipf , Gamaleldin F. Elsayed , Aravindh Mahendran , Austin Stone , Sara Sabour , Georg Heigold , Rico Jonschkowski , Alexey Dosovitskiy , Klaus Greff

We propose a new method to evaluate the effective potential in the path integral for the fixed-energy amplitude as well as for the pseudotime evolution kernel in the formalism by Duru and Kleinert. Restriction to the postpoint or the…

High Energy Physics - Theory · Physics 2017-08-02 Seiji Sakoda

We propose a learning approach for mapping context-dependent sequential instructions to actions. We address the problem of discourse and state dependencies with an attention-based model that considers both the history of the interaction and…

Computation and Language · Computer Science 2018-06-12 Alane Suhr , Yoav Artzi

We propose a nonparametric test of spatial independence for data observed on irregular, non-lattice point clouds $\mathcal{V}_{n}\subset\mathbb{R}^{2}$. For each location $v\in\mathcal{V}_{n}$, we encode the local spatial configuration…

Transformers enable powerful content-based global routing via self-attention, but they lack an explicit local geometric prior along the sequence axis. As a result, the placement of locality-inducing modules in hybrid architectures has…

Machine Learning · Computer Science 2026-02-17 Yukun Zhang , Xueqing Zhou

We investigate Turing pattern formation in a stochastic reaction-diffusion model defined on $N$ lattice sites, where each lattice site is associated with a reaction vessel of volume $\Omega$. We focus on a regime where spatial discreteness…

Statistical Mechanics · Physics 2025-12-12 Yusuke Yanagisawa , Shin-ichi Sasa

We study a variant of causal contextual bandits where the context is chosen based on an initial intervention chosen by the learner. At the beginning of each round, the learner selects an initial action, depending on which a stochastic…

Machine Learning · Computer Science 2024-06-04 Rahul Madhavan , Aurghya Maiti , Gaurav Sinha , Siddharth Barman

Adaptive experimentation under unknown network interference requires solving two coupled problems: (i) learning the underlying dynamics of interference among units and (ii) using these dynamics to inform treatment allocation in order to…

Machine Learning · Statistics 2026-05-13 Aidan Gleich , Eric Laber , Alexander Volfovsky

Context-dependent sequential decision making is commonly addressed either by providing context explicitly as an input or by increasing recurrent memory so that contextual information can be represented internally. We study a third…

Artificial Intelligence · Computer Science 2026-04-08 Song-Ju Kim

Network interference has attracted significant attention in the field of causal inference, encapsulating various sociological behaviors where the treatment assigned to one individual within a network may affect the outcomes of others, such…

Machine Learning · Computer Science 2025-02-11 Zhiheng Zhang , Zichen Wang

We consider the problem of estimating a dose-response curve. Continuous treatments arise often in practice, e.g. in the form of time spent on an operation, distance traveled to a location or dosage of a drug. Letting $A$ denote a continuous…

Methodology · Statistics 2026-04-14 Matteo Bonvini , Edward H. Kennedy

Treatment effects in regression discontinuity designs (RDDs) are often estimated using local regression methods. \cite{Hahn:01} demonstrated that the identification of the average treatment effect at the cutoff in RDDs relies on the…

Econometrics · Economics 2024-12-30 Weiwei Jiang , Rong J. B. Zhu

We investigate, both experimentally and theoretically, possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials. The dependence of this quantum interference effect on the nonlinear…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , W. Ertmer , J. Arlt , K. Sacha , J. Zakrzewski , M. Lewenstein