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We evaluate the robustness of a probabilistic formulation of system identification (ID) to sparse, noisy, and indirect data. Specifically, we compare estimators of future system behavior derived from the Bayesian posterior of a learning…

Machine Learning · Statistics 2023-01-02 Nicholas Galioto , Alex Gorodetsky

Combinatorial optimization problems are pivotal across many fields. Among these, Quadratic Unconstrained Binary Optimization (QUBO) problems, central to fields like portfolio optimization, network design, and computational biology, are…

Optimization and Control · Mathematics 2024-06-07 Yuhan Huang , Siyuan Jin , Yichi Zhang , Ling Pan , Qiming Shao

We establish non-asymptotic efficiency guarantees for tensor decomposition-based inference in count data models. Under a Poisson framework, we consider two related goals: (i) parametric inference, the estimation of the full distributional…

Statistics Theory · Mathematics 2025-11-10 Oscar López , Arvind Prasadan , Carlos Llosa-Vite , Richard B. Lehoucq , Daniel M. Dunlavy

This paper is about iteratively reweighted basis-pursuit algorithms for compressed sensing and matrix completion problems. In a first part, we give a theoretical explanation of the fact that reweighted basis pursuit can improve a lot upon…

Information Theory · Computer Science 2011-07-11 Stéphane Gaïffas , Guillaume Lecué

Markov parameters play a key role in system identification. There exists many algorithms where these parameters are estimated using least-squares in a first, pre-processing, step, including subspace identification and multi-step…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

We present an analytic approximation model for non-rigid point set registration, grounded in the multivariate Taylor expansion of vector-valued functions. By exploiting the algebraic structure of Taylor expansions, we construct a structured…

Image and Video Processing · Electrical Eng. & Systems 2026-02-20 Wei Feng , Tengda Wei , Haiyong Zheng

We propose a Quantization Guided Training (QGT) method to guide DNN training towards optimized low-bit-precision targets and reach extreme compression levels below 8-bit precision. Unlike standard quantization-aware training (QAT)…

Machine Learning · Computer Science 2021-03-11 Sedigh Ghamari , Koray Ozcan , Thu Dinh , Andrey Melnikov , Juan Carvajal , Jan Ernst , Sek Chai

In the presence of sufficiently weak overlap, it is known that no regular root-n-consistent estimators exist and standard estimators may fail to be asymptotically normal. This paper shows that a thresholded version of the standard doubly…

Econometrics · Economics 2025-04-23 Jacob Dorn

We study inference on scalar-valued pathwise differentiable targets after adaptive data collection, such as a bandit algorithm. We introduce a novel target-specific condition, directional stability, which is strictly weaker than previously…

Machine Learning · Statistics 2026-02-26 Zikai Shen , Houssam Zenati , Nathan Kallus , Arthur Gretton , Koulik Khamaru , Aurélien Bibaut

Sample complexity bounds are a common performance metric in the Reinforcement Learning literature. In the discounted cost, infinite horizon setting, all of the known bounds have a factor that is a polynomial in $1/(1-\gamma)$, where $\gamma…

Machine Learning · Computer Science 2020-07-09 Adithya M. Devraj , Sean P. Meyn

Quadratically constrained quadratic programming (QCQP) has long been recognized as a computationally challenging problem, particularly in large-scale or high-dimensional settings where solving it directly becomes intractable. The complexity…

Optimization and Control · Mathematics 2025-10-09 Shuai Li , Shenglong Zhou , Ziyan Luo

The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper (2007) for estimation of unknown nonparametric regression. We prove that this procedure is asymptotically efficient for a quadratic risk. It…

Statistics Theory · Mathematics 2008-12-18 Leonid Galtchouk , Serguey Pergamenshchikov

Fixed-point (FXP) inference has proven suitable for embedded devices with limited computational resources, and yet model training is continually performed in floating-point (FLP). FXP training has not been fully explored and the non-trivial…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Sashank Macha , Om Oza , Alex Escott , Francesco Caliva , Robbie Armitano , Santosh Kumar Cheekatmalla , Sree Hari Krishnan Parthasarathi , Yuzong Liu

Conformal prediction provides distribution-free prediction intervals with finite-sample coverage guarantees, and recent work by Snell \& Griffiths reframes it as Bayesian Quadrature (BQ-CP), yielding powerful data-conditional guarantees via…

Machine Learning · Computer Science 2026-04-09 Xiayin Lou , Peng Luo

Accurate workload prediction and advanced resource reservation are indispensably crucial for managing dynamic cloud services. Traditional neural networks and deep learning models frequently encounter challenges with diverse,…

Machine Learning · Computer Science 2025-07-14 Jitendra Kumar , Deepika Saxena , Kishu Gupta , Satyam Kumar , Ashutosh Kumar Singh

In this paper, we propose Binarized Change Detection (BiCD), the first binary neural network (BNN) designed specifically for change detection. Conventional network binarization approaches, which directly quantize both weights and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Kaijie Yin , Zhiyuan Zhang , Shu Kong , Tian Gao , Chengzhong Xu , Hui Kong

This paper addresses the challenge of developing efficient algorithms for large-scale nonconvex multiobjective optimization problems (MOPs). While quasi-Newton methods are effective, their traditional application to MOPs is computationally…

Optimization and Control · Mathematics 2025-12-23 Hua Liu

In this paper, we propose a quasi-Newton method for solving smooth and monotone nonlinear equations, including unconstrained minimization and minimax optimization as special cases. For the strongly monotone setting, we establish two global…

Optimization and Control · Mathematics 2024-10-04 Ruichen Jiang , Aryan Mokhtari

We study best arm identification in a federated multi-armed bandit setting with a central server and multiple clients, when each client has access to a {\em subset} of arms and each arm yields independent Gaussian observations. The goal is…

Machine Learning · Computer Science 2023-12-20 Zhirui Chen , P. N. Karthik , Vincent Y. F. Tan , Yeow Meng Chee

We propose a novel information bottleneck (IB) method named Drop-Bottleneck, which discretely drops features that are irrelevant to the target variable. Drop-Bottleneck not only enjoys a simple and tractable compression objective but also…

Machine Learning · Computer Science 2021-03-24 Jaekyeom Kim , Minjung Kim , Dongyeon Woo , Gunhee Kim