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Noncompliance and missing data often occur in randomized trials, which complicate the inference of causal effects. When both noncompliance and missing data are present, previous papers proposed moment and maximum likelihood estimators for…

Methodology · Statistics 2014-09-04 Hua Chen , Peng Ding , Zhi Geng , Xiao-Hua Zhou

We propose a nonparametric method for detecting nonlinear causal relationship within a set of multidimensional discrete time series, by using sparse additive models (SpAMs). We show that, when the input to the SpAM is a $\beta$-mixing time…

Machine Learning · Statistics 2018-04-27 Yingxiang Yang , Adams Wei Yu , Zhaoran Wang , Tuo Zhao

In this paper, we build and explore supervised learning models of ferromagnetic system behavior, using Monte-Carlo sampling of the spin configuration space generated by the 2D Ising model. Given the enormous size of the space of all…

Statistical Mechanics · Physics 2017-09-06 Nataliya Portman , Isaac Tamblyn

Financial markets are a classical example of complex systems as they comprise many interacting stocks. As such, we can obtain a surprisingly good description of their structure by making the rough simplification of binary daily returns.…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

We propose a new algorithm to learn the network of the interactions of pairwise Ising models. The algorithm is based on the pseudo-likelihood method (PLM), that has already been proven to efficiently solve the problem in a large variety of…

Disordered Systems and Neural Networks · Physics 2019-02-19 Silvio Franz , Federico Ricci-Tersenghi , Jacopo Rocchi

The inverse Ising model is used in computational neuroscience to infer probability distributions of the synchronous activity of large neuronal populations. This method allows for finding the Boltzmann distribution with single neuron biases…

Neurons and Cognition · Quantitative Biology 2022-07-27 Geoffroy Delamare , Ulisse Ferrari

We focus on the high-dimensional linear regression problem, where the algorithmic goal is to efficiently infer an unknown feature vector $\beta^*\in\mathbb{R}^p$ from its linear measurements, using a small number $n$ of samples. Unlike most…

Statistics Theory · Mathematics 2023-09-19 David Gamarnik , Eren C. Kızıldağ , Ilias Zadik

A common issue when analyzing real-world complex systems is that the interactions between the elements often change over time: this makes it difficult to find optimal models that describe this evolution and that can be estimated from data,…

Statistical Finance · Quantitative Finance 2021-08-04 Carlo Campajola , Domenico Di Gangi , Fabrizio Lillo , Daniele Tantari

In this work, we present a novel, machine-learning approach for constructing Multiclass Interpretable Scoring Systems (MISS) - a fully data-driven methodology for generating single, sparse, and user-friendly scoring systems for multiclass…

Machine Learning · Computer Science 2024-01-11 Michal K. Grzeszczyk , Tomasz Trzciński , Arkadiusz Sitek

Longitudinal or panel data can be represented as a matrix with rows indexed by units and columns indexed by time. We consider inferential questions associated with the missing data version of panel data induced by staggered adoption. We…

Statistics Theory · Mathematics 2024-07-02 Yuling Yan , Martin J. Wainwright

We propose a unified framework that extends the inference methods for classical hidden Markov models to continuous settings, where both the hidden states and observations occur in continuous time. Two different settings are analyzed: hidden…

Methodology · Statistics 2021-06-18 Qingcan Wang , Weinan E

Missing data is an important problem in machine learning practice. Starting from the premise that imputation methods should preserve the causal structure of the data, we develop a regularization scheme that encourages any baseline…

Machine Learning · Computer Science 2021-11-08 Trent Kyono , Yao Zhang , Alexis Bellot , Mihaela van der Schaar

Causal inference uses observations to infer the causal structure of the data generating system. We study a class of functional models that we call Time Series Models with Independent Noise (TiMINo). These models require independent residual…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

The Ising model is a celebrated example of a Markov random field, introduced in statistical physics to model ferromagnetism. This is a discrete exponential family with binary outcomes, where the sufficient statistic involves a quadratic…

Statistics Theory · Mathematics 2021-09-08 Somabha Mukherjee

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

The inherent complexity of biological agents often leads to motility behavior that appears to have random components. Robust stochastic inference methods are therefore required to understand and predict the motion patterns from time…

Soft Condensed Matter · Physics 2024-11-14 Jan Albrecht , Manfred Opper , Robert Großmann

We introduce a general class of autoregressive models for studying the dynamic of multivariate binary time series with stationary exogenous covariates. Using a high-level set of assumptions, we show that existence of a stationary path for…

Statistics Theory · Mathematics 2024-07-16 Guillaume Franchi , Lionel Truquet

Efficient estimation methods for simultaneous autoregressive (SAR) models with missing data in the response variable have been well-explored in the literature. A common practice is to introduce measurement error into SAR models to separate…

Methodology · Statistics 2024-10-10 Anjana Wijayawardhana , Thomas Suesse , David Gunawan

We consider the problem of jointly estimating the parameters as well as the structure of binary valued Markov Random Fields, in contrast to earlier work that focus on one of the two problems. We formulate the problem as a maximization of…

Machine Learning · Statistics 2008-11-11 M. Kolar , E. P. Xing

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

Machine Learning · Statistics 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria