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In this work the primary objective is to maximize the precision of the maximum likelihood estimate in a linear regression model through the efficient design of the experiment. One common measure of precision is the unconditional mean square…

Methodology · Statistics 2022-09-27 Adam Lane

In this paper, we introduce a new machine learning theory based on multi-channel parallel adaptation for rule discovery. This theory is distinguished from the familiar parallel-distributed adaptation theory of neural networks in terms of…

Artificial Intelligence · Computer Science 2007-05-23 Li Min Fu

With the increasing demand for large-scale training of machine learning models, consensus-based distributed optimization methods have recently been advocated as alternatives to the popular parameter server framework. In this paradigm, each…

Machine Learning · Computer Science 2021-02-15 Guojun Xiong , Gang Yan , Rahul Singh , Jian Li

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

This paper deals with robust marginal estimation under a general regression model when missing data occur in the response and also in some of covariates. The target is a marginal location parameter which is given through an $M-$functional.…

Detecting an abrupt and persistent change in the underlying distribution of online data streams is an important problem in many applications. This paper proposes a new robust score-based algorithm called RSCUSUM, which can be applied to…

Methodology · Statistics 2023-06-09 Suya Wu , Enmao Diao , Taposh Banerjee , Jie Ding , Vahid Tarokh

Natural Gradient Descent (NGD) helps to accelerate the convergence of gradient descent dynamics, but it requires approximations in large-scale deep neural networks because of its high computational cost. Empirical studies have confirmed…

Machine Learning · Statistics 2022-01-12 Ryo Karakida , Kazuki Osawa

Confidence sequences based on test martingales provide time-uniform uncertainty quantification for the mean of bounded IID observations without parametric distributional assumptions. Their practical efficiency, however, depends strongly on…

Machine Learning · Statistics 2026-05-12 Valentin Kilian , Stefano Cortinovis , François Caron

A generic, fast and asymptotically efficient method for parametric estimation is described. It is based on the projected stochastic gradient descent on the log-likelihood function corrected by a single step of the Fisher scoring algorithm.…

Statistics Theory · Mathematics 2024-04-16 Alexandre Brouste , Youssef Esstafa

We introduce an adaptive method with formal quality guarantees for weak supervision in a non-stationary setting. Our goal is to infer the unknown labels of a sequence of data by using weak supervision sources that provide independent noisy…

Machine Learning · Computer Science 2025-05-05 Alessio Mazzetto , Reza Esfandiarpoor , Akash Singirikonda , Eli Upfal , Stephen H. Bach

Dereverberation of a moving speech source in the presence of other directional interferers, is a harder problem than that of stationary source and interference cancellation. We explore joint multi channel linear prediction (MCLP) and…

Audio and Speech Processing · Electrical Eng. & Systems 2019-10-23 Srikanth Raj Chetupalli , Thippur V. Sreenivas

In this paper, we study the problem of estimation and learning under temporal distribution shift. Consider an observation sequence of length $n$, which is a noisy realization of a time-varying groundtruth sequence. Our focus is to develop…

Machine Learning · Computer Science 2025-05-22 Dheeraj Baby , Yifei Tang , Hieu Duy Nguyen , Yu-Xiang Wang , Rohit Pyati

In orthogonal frequency division multiplexing (OFDM), accurate channel estimation is crucial. Classical signal processing-based approaches, such as linear minimum mean-squared error (LMMSE) estimation, often require second-order statistics…

Signal Processing · Electrical Eng. & Systems 2026-01-28 TaeJun Ha , Chaehyun Jung , Hyeonuk Kim , Jeongwoo Park , Jeonghun Park

We propose a novel framework for analyzing the dynamics of distribution shift in real-world systems that captures the feedback loop between learning algorithms and the distributions on which they are deployed. Prior work largely models…

Machine Learning · Computer Science 2023-10-31 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian Ratliff

Conformal inference is a statistical method used to construct prediction sets for point predictors, providing reliable uncertainty quantification with probability guarantees. This method utilizes historical labeled data to estimate the…

Machine Learning · Computer Science 2024-11-05 Xiaoyi Su , Zhixin Zhou , Rui Luo

Many methods for estimating integrated volatility and related functionals of semimartingales in the presence of jumps require specification of tuning parameters for their use in practice. In much of the available theory, tuning parameters…

Statistics Theory · Mathematics 2024-10-23 B. Cooper Boniece , José E. Figueroa-López , Yuchen Han

We present a Fisher-information (FI) framework for photon-efficient fluorescence lifetime imaging microscopy (FLIM) that treats temporal sampling as a controllable design variable under a fixed photon (dose) budget. Starting from a Poisson…

Instrumentation and Detectors · Physics 2026-01-05 J. Sumaya-Martinez , E. Torres-Garcia

We present an efficient finite difference method for the computation of parameter sensitivities that is applicable to a wide class of continuous time Markov chain models. The estimator for the method is constructed by coupling the perturbed…

Numerical Analysis · Mathematics 2012-05-14 David F. Anderson

While most ML models expect independent and identically distributed data, this assumption is often violated in real-world scenarios due to distribution shifts, resulting in the degradation of machine learning model performance. Until now,…

Machine Learning · Computer Science 2024-11-19 Kai Helli , David Schnurr , Noah Hollmann , Samuel Müller , Frank Hutter

The Quantum Fisher Information matrix (QFIM) is a central metric in promising algorithms, such as Quantum Natural Gradient Descent and Variational Quantum Imaginary Time Evolution. Computing the full QFIM for a model with $d$ parameters,…

Quantum Physics · Physics 2021-10-20 Julien Gacon , Christa Zoufal , Giuseppe Carleo , Stefan Woerner