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We study the problem of regression in a generalized linear model (GLM) with multiple signals and latent variables. This model, which we call a matrix GLM, covers many widely studied problems in statistical learning, including mixed linear…

Machine Learning · Statistics 2024-04-10 Nelvin Tan , Ramji Venkataramanan

The continuous development of new adaptive filters (AFs) based on novel cost functions (CFs) is driven by the demands of various application scenarios and noise environments. However, these algorithms typically demonstrate optimal…

Signal Processing · Electrical Eng. & Systems 2025-06-03 Yi Peng , Haiquan Zhao , Jinhui Hu

In many application of noise cancellation, the changes in signal characteristics could be quite fast. This requires the utilization of adaptive algorithms, which converge rapidly. Least Mean Squares (LMS) and Normalized Least Mean Squares…

Sound · Computer Science 2011-06-07 Sayed. A. Hadei , M. lotfizad

A unified linear algebraic approach to adaptive signal processing (ASP) is presented. Starting from just Ax=b, key ASP algorithms are derived in a simple, systematic, and integrated manner without requiring any background knowledge to the…

Systems and Control · Computer Science 2015-04-24 Muhammad Ali Raza Anjum

This paper studies a difference operator for stochastic systems whose specifications are represented by Abstract Probabilistic Automata (APAs). In the case refinement fails between two specifications, the target of this operator is to…

Logic in Computer Science · Computer Science 2015-07-01 Benoît Delahaye , Uli Fahrenberg , Kim G. Larsen , Axel Legay

Analogy Based Effort Estimation (ABE) is one of the prominent methods for software effort estimation. The fundamental concept of ABE is closer to the mentality of expert estimation but with an automated procedure in which the final estimate…

Software Engineering · Computer Science 2017-01-09 Mohammad Azzeh , Ali Bou Nassif , Shadi Banitaan , Fadi Almasalha

Parameter-efficient fine-tuning (PEFT) is widely studied for its effectiveness and efficiency in the era of large language models. Low-rank adaptation (LoRA) has demonstrated commendable performance as a popular and representative method.…

Computation and Language · Computer Science 2024-04-16 Zequan Liu , Jiawen Lyn , Wei Zhu , Xing Tian , Yvette Graham

We study infinite-horizon average-reward Markov decision processes (AMDPs) in the context of general function approximation. Specifically, we propose a novel algorithmic framework named Local-fitted Optimization with OPtimism (LOOP), which…

Machine Learning · Computer Science 2024-04-22 Jianliang He , Han Zhong , Zhuoran Yang

We show that proximal minimization algorithms (PMA), majorization minimization (MM), and alternating minimization (AM) are equivalent. Each type of algorithm leads to a decreasing sequence of objective function. New conditions on PMA are…

Numerical Analysis · Mathematics 2015-12-10 Charles L. Byrne , Jong Soo Lee

Automatic prompt optimization is a promising approach for adapting large language models (LLMs) to downstream tasks, yet existing methods typically search for a specific prompt specialized to a fixed task. This paradigm limits…

Computation and Language · Computer Science 2026-03-24 Guanbao Liang , Yuanchen Bei , Sheng Zhou , Yuheng Qin , Huan Zhou , Bingxin Jia , Bin Li , Jiajun Bu

Automatic machine learning (\AML) is a family of techniques to automate the process of training predictive models, aiming to both improve performance and make machine learning more accessible. While many recent works have focused on aspects…

Machine Learning · Computer Science 2020-03-24 Nadiia Chepurko , Ryan Marcus , Emanuel Zgraggen , Raul Castro Fernandez , Tim Kraska , David Karger

We study the Maximum Budgeted Allocation problem, which is the problem of assigning indivisible items to players with budget constraints. In its most general form, an instance of the MBA problem might include many different prices for the…

Data Structures and Algorithms · Computer Science 2015-12-01 Christos Kalaitzis

The Alternating Minimization Algorithm (AMA) has been proposed by Tseng to solve convex programming problems with two-block separable linear constraints and objectives, whereby (at least) one of the components of the latter is assumed to be…

Optimization and Control · Mathematics 2018-06-04 Sandy Bitterlich , Radu Ioan Bot , Ernö Robert Csetnek , Gert Wanka

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, which adjust control parameters in the course of simulation. We…

Methodology · Statistics 2016-12-08 Blazej Miasojedow , Wojciech Niemiro , Jan Palczewski , Wojciech Rejchel

We propose a method for conducting algebraic program analysis (APA) incrementally in response to changes of the program under analysis. APA is a program analysis paradigm that consists of two distinct steps: computing a path expression that…

Programming Languages · Computer Science 2024-12-17 Chenyu Zhou , Yuzhou Fang , Jingbo Wang , Chao Wang

We consider the problem of parameter estimation from a generalized linear model with a random design matrix that is orthogonally invariant in law. Such a model allows the design have an arbitrary distribution of singular values and only…

Statistics Theory · Mathematics 2026-02-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

The optimal execution problem has always been a continuously focused research issue, and many reinforcement learning (RL) algorithms have been studied. In this article, we consider the execution problem of targeting the volume weighted…

Optimization and Control · Mathematics 2024-11-12 Xingyu Zhou , Wenbin Chen , Mingyu Xu

Aligning large-scale vision-language models (VLMs) for complex reasoning via reinforcement learning is often hampered by the limitations of existing policy optimization algorithms, such as static training schedules and the rigid, uniform…

Artificial Intelligence · Computer Science 2025-10-02 Yunhao Wang , Ziting Li , Shuai Chen , Tao Liu , Chao Song , Junjie Jiang , Jian Zhu , Peng Gao , Bin Qin

We analyzed the performance of a biologically inspired algorithm called the Corrected Projections Algorithm (CPA) when a sparseness constraint is required to unambiguously reconstruct an observed signal using atoms from an overcomplete…

Numerical Analysis · Computer Science 2017-03-24 Gonzalo H Otazu

We propose and analyze an approximate message passing (AMP) algorithm for the matrix tensor product model, which is a generalization of the standard spiked matrix models that allows for multiple types of pairwise observations over a…

Machine Learning · Statistics 2023-06-28 Riccardo Rossetti , Galen Reeves