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We consider a high-dimensional linear regression problem. Unlike many papers on the topic, we do not require sparsity of the regression coefficients; instead, our main structural assumption is a decay of eigenvalues of the covariance matrix…

Statistics Theory · Mathematics 2021-10-01 Igor Silin , Jianqing Fan

We propose an indirect inference strategy for estimating heterogeneous-agent business cycle models with micro data. At its heart is a first-order vector autoregression that is grounded in linear filtering theory as the cross-section grows…

General Economics · Economics 2024-02-20 Man Chon Iao , Yatheesan J. Selvakumar

One of the main problems studied in statistics is the fitting of models. Ideally, we would like to explain a large dataset with as few parameters as possible. There have been numerous attempts at automatizing this process. Most notably, the…

Computation · Statistics 2018-09-24 Marc Härkönen , Tomonari Sei , Yoshihiro Hirose

In this paper, we develop a novel high-dimensional coefficient estimation procedure based on high-frequency data. Unlike usual high-dimensional regression procedures such as LASSO, we additionally handle the heavy-tailedness of…

Methodology · Statistics 2025-10-22 Minseok Shin , Donggyu Kim

Heteroscedastic regression considering the varying noises among observations has many applications in the fields like machine learning and statistics. Here we focus on the heteroscedastic Gaussian process (HGP) regression which integrates…

Machine Learning · Statistics 2020-01-22 Haitao Liu , Yew-Soon Ong , Jianfei Cai

Recent research has focused on $\ell_1$ penalized least squares (Lasso) estimators for high-dimensional linear regressions in which the number of covariates $p$ is considerably larger than the sample size $n$. However, few studies have…

Statistics Theory · Mathematics 2022-05-05 Yuefeng Han , Ruey S. Tsay

We propose a new testing procedure of heteroskedasticity in high-dimensional linear regression, where the number of covariates can be larger than the sample size. Our testing procedure is based on residuals of the Lasso. We demonstrate that…

Statistics Theory · Mathematics 2022-11-01 Akira Shinkyu

Machine learning algorithms in high-dimensional settings are highly susceptible to the influence of even a small fraction of structured outliers, making robust optimization techniques essential. In particular, within the…

Machine Learning · Computer Science 2025-04-25 Changyu Gao , Andrew Lowy , Xingyu Zhou , Stephen J. Wright

Rehearsal-based approaches are a mainstay of continual learning (CL). They mitigate the catastrophic forgetting problem by maintaining a small fixed-size buffer with a subset of data from past tasks. While most rehearsal-based approaches…

Machine Learning · Computer Science 2023-05-02 Zifeng Wang , Zheng Zhan , Yifan Gong , Yucai Shao , Stratis Ioannidis , Yanzhi Wang , Jennifer Dy

Economic policy and research rely on the correct evaluation of the billions of high-frequency data points that we collect every day. Consistent clustering algorithms, like DBSCAN, allow us to make sense of the data in a useful way. However,…

Statistics Theory · Mathematics 2024-03-25 Nicholas Waltz

In the last years there has been a considerable increase in the availability of continuous sensor measurements in a wide range of application domains, such as Location-Based Services (LBS), medical monitoring systems, manufacturing plants…

Databases · Computer Science 2015-03-20 Michele Dallachiesa , Besmira Nushi , Katsiaryna Mirylenka , Themis Palpanas

Causal discovery in time-series data presents a significant computational challenge. Standard algorithms are often prohibitively expensive for datasets with many variables or samples. This study introduces and validates a heuristic…

Machine Learning · Computer Science 2025-08-22 Ziyang Jiao , Ce Guo , Wayne Luk

We present a unified view of likelihood based Gaussian progress regression for simulation experiments exhibiting input-dependent noise. Replication plays an important role in that context, however previous methods leveraging replicates have…

Methodology · Statistics 2019-01-18 Mickael Binois , Robert B. Gramacy , Michael Ludkovski

The reliability of machine learning systems critically assumes that the associations between features and labels remain similar between training and test distributions. However, unmeasured variables, such as confounders, break this…

Machine Learning · Computer Science 2020-08-17 Megha Srivastava , Tatsunori Hashimoto , Percy Liang

It has recently been discovered that the conclusions of many highly influential econometrics studies can be overturned by removing a very small fraction of their samples (often less than $0.5\%$). These conclusions are typically based on…

Machine Learning · Computer Science 2024-10-11 Ittai Rubinstein , Samuel B. Hopkins

Longest common subsequence (LCS) is one of the most fundamental problems in combinatorial optimization. Apart from theoretical importance, LCS has enormous applications in bioinformatics, revision control systems, and data comparison…

Data Structures and Algorithms · Computer Science 2020-03-17 MohammadTaghi Hajiaghayi , Masoud Seddighin , Saeed Seddighin , Xiaorui Sun

We evaluate a co-evolutionary calibration framework for the Heston model in which a genetic algorithm (GA) over parameters is coupled to an evolving neural inverse map from option surfaces to parameters. While GA-history sampling can reduce…

Pricing of Securities · Quantitative Finance 2025-12-04 Julian Gutierrez

Drawing statistical inferences from large datasets in a model-robust way is an important problem in statistics and data science. In this paper, we propose methods that are robust to large and unequal noise in different observational units…

Statistics Theory · Mathematics 2024-01-10 Edgar Dobriban , Weijie J. Su , Yachong Yang , Zhixiang Zhang

We study an extension of contextual stochastic linear optimization (CSLO) that, in contrast to most of the existing literature, involves inequality constraints that depend on uncertain parameters predicted by a machine learning model. To…

Machine Learning · Computer Science 2025-05-30 Hyungki Im , Wyame Benslimane , Paul Grigas

Calibrating deep learning models to yield uncertainty-aware predictions is crucial as deep neural networks get increasingly deployed in safety-critical applications. While existing post-hoc calibration methods achieve impressive results on…

Machine Learning · Computer Science 2023-07-06 Christian Tomani , Futa Waseda , Yuesong Shen , Daniel Cremers