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20182022
most citedAccelerated Sampling Kaczmarz Motzkin Algorithm for The Linear Feasibility Problem

21 citations · 52 across the 12 of their papers we have counts for

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12 papers

math.OC2022

ALS: Augmented Lagrangian Sketching Methods for Linear Systems

Md Sarowar Morshed

We develop two fundamental stochastic sketching techniques; Penalty Sketching (PS) and Augmented Lagrangian Sketching (ALS) for solving consistent linear systems. The proposed PS a…

math.OC2022

Augmented Newton Method for Optimization: Global Linear Rate and Momentum Interpretation

Md Sarowar Morshed

We propose two variants of Newton method for solving unconstrained minimization problem. Our method leverages optimization techniques such as penalty and augmented Lagrangian metho…

math.OC2022

Penalty & Augmented Kaczmarz Methods For Linear Systems & Linear Feasibility Problems

Md Sarowar Morshed

In this work, we shed light on the so-called Kaczmarz method for solving Linear System (LS) and Linear Feasibility (LF) problems from a optimization point of view. We introduce wel…

math.NA2020

Stochastic Steepest Descent Methods for Linear Systems: Greedy Sampling & Momentum

Md Sarowar Morshed, Sabbir Ahmad, Md Noor-E-Alam

Recently proposed adaptive Sketch & Project (SP) methods connect several well-known projection methods such as Randomized Kaczmarz (RK), Randomized Block Kaczmarz (RBK), Motzkin Re…

math.NA2020

Sketch & Project Methods for Linear Feasibility Problems: Greedy Sampling & Momentum

Md Sarowar Morshed, Md. Noor-E-Alam

We develop two greedy sampling rules for the Sketch & Project method for solving linear feasibility problems. The proposed greedy sampling rules generalize the existing max-distanc…

math.OC2020

A Computational Framework for Solving Nonlinear Binary OptimizationProblems in Robust Causal Inference

Md Saiful Islam, Md Sarowar Morshed, Md. Noor-E-Alam

Identifying cause-effect relations among variables is a key step in the decision-making process. While causal inference requires randomized experiments, researchers and policymaker…

math.OC2020★ 3 cited

Heavy Ball Momentum Induced Sampling Kaczmarz Motzkin Methods for Linear Feasibility Problems

Md Sarowar Morshed, Md. Noor-E-Alam

The recently proposed Sampling Kaczmarz Motzkin (SKM) algorithm performs well in comparison with the state-of-the-art methods in solving large-scale Linear Feasibility (LF) problem…

math.NT2020

Logarithmic Integrals: A Review from Gradshteyn and Ryzhik to Recent Times

Md Sarowar Morshed

The need to evaluate Logarithmic integrals is ubiquitous in essentially all quantitative areas including mathematical sciences, physical sciences. Some recent developments in Physi…

math.OC2020★ 1 cited

Sampling Kaczmarz Motzkin Method for Linear Feasibility Problems: Generalization & Acceleration

Md Sarowar Morshed, Md Saiful Islam, Md. Noor-E-Alam

Randomized Kaczmarz (RK), Motzkin Method (MM) and Sampling Kaczmarz Motzkin (SKM) algorithms are commonly used iterative techniques for solving a system of linear inequalities (i.e…

stat.ME2019★ 17 cited

Robust policy evaluation from large-scale observational studies

Md Saiful Islam, Md Sarowar Morshed, Gary J. Young +1

Under current policy decision making paradigm, we make or evaluate a policy decision by intervening different socio-economic parameters and analyzing the impact of those interventi…

math.OC2019★ 21 cited

Accelerated Sampling Kaczmarz Motzkin Algorithm for The Linear Feasibility Problem

Md Sarowar Morshed, Md Saiful Islam, Md. Noor-E-Alam

The Sampling Kaczmarz Motzkin (SKM) algorithm is a generalized method for solving large scale linear systems of inequalities. Having its root in the relaxation method of Agmon, Sch…

math.OC2018★ 10 cited

Generalized Affine Scaling Algorithms for Linear Programming Problems

Md Sarowar Morshed, Md. Noor-E-Alam

Interior Point Methods are widely used to solve Linear Programming problems. In this work, we present two primal affine scaling algorithms to achieve faster convergence in solving…