Search Results - "Misra, Pratik"
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Gaussian graphical models with toric vanishing ideals
Published in Annals of the Institute of Statistical Mathematics (01-08-2021)“…Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. They are widely used throughout natural sciences,…”
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Directed Gaussian graphical models with toric vanishing ideals
Published in Advances in applied mathematics (01-07-2022)“…Directed Gaussian graphical models are statistical models that use a directed acyclic graph (DAG) to represent the conditional independence structures between…”
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Mathematical programming model for the optimal management of carbon intensity indicators in global supply chains
Published in Computers & chemical engineering (01-03-2024)Get full text
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Combinatorial Problems in Trees and Graphical Models
Published 01-01-2021“…Algebraic statistics is a relatively new area of research which explores the connection between algebraic geometry and statistics. This thesis deals with…”
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Dissertation -
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Capacity planning with competitive decision-makers: Trilevel MILP formulation, degeneracy, and solution approaches
Published in European journal of operational research (16-10-2017)“…•We model capacity planning in a duopoly competing for a rational inelastic market.•The trilevel program has integer variables in 2 levels. Novel algorithms…”
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Mixed-integer bilevel optimization for capacity planning with rational markets
Published in Computers & chemical engineering (04-03-2016)“…•Capacity expansion planning formulated as a bilevel optimization problem.•Higher level involves industrial company, lower level the market.•Formulation is a…”
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Directed Gaussian graphical models with toric vanishing ideals
Published 05-08-2022“…Advances in Applied Mathematics, 2022, Volume 138, Paper No. 102345 Directed Gaussian graphical models are statistical models that use a directed acyclic graph…”
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Homaloidal Polynomials and Gaussian Models of Maximum Likelihood Degree One
Published 08-02-2024“…We study the Gaussian statistical models whose log-likelihood function has a unique complex critical point, i.e., has maximum likelihood degree one. We exploit…”
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Linear control of nonlinear processes: recent developments and future directions
Published in Computers & chemical engineering (15-09-2003)“…Virtually all chemical processes are nonlinear, but for several of them linear feedback control is adequate. Therefore, before nonlinear controller design is…”
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Gaussian graphical models with toric vanishing ideals
Published 04-12-2019“…Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. They are widely used throughout natural sciences,…”
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Journal Article -
11
Capacity Planning with Rational Markets and Demand Uncertainty
Published in Computer Aided Chemical Engineering (2016)“…Capacity planning for capital intensive industries is a challenging task because expansion plans are highly dependent on market behavior and future demands. A…”
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Book Chapter -
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A Duality-based Approach for Bilevel Optimization of Capacity Expansion
Published in Computer Aided Chemical Engineering (2015)“…The traditional approach for capacity expansion problem aims to balance investment costs with the returns obtained from production. These formulations ignore…”
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Book Chapter -
13
Faithlessness in Gaussian graphical models
Published 08-04-2024“…The implication problem for conditional independence (CI) asks whether the fact that a probability distribution obeys a given finite set of CI relations…”
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Journal Article -
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Colored Gaussian DAG models
Published 05-04-2024“…We study submodels of Gaussian DAG models defined by partial homogeneity constraints imposed on the model error variances and structural coefficients. We…”
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15
Combinatorial and algebraic perspectives on the marginal independence structure of Bayesian networks
Published 31-01-2024“…Alg. Stat. 14 (2023) 233-286 We consider the problem of estimating the marginal independence structure of a Bayesian network from observational data, learning…”
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Bounds on the expected size of the maximum agreement subtree for a given tree shape
Published 12-09-2018“…We show that the expected size of the maximum agreement subtree of two $n$-leaf trees, uniformly random among all trees with the shape, is $\Theta(\sqrt{n})$…”
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Input design for model order determination in subspace identification
Published in AIChE journal (01-08-2003)“…Subspace identification methods require that the inputs to the process being identified be persistently exciting. This may be inadequate for subspace…”
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Conditional Independence in Stationary Diffusions
Published 01-08-2024“…Stationary distributions of multivariate diffusion processes have recently been proposed as probabilistic models of causal systems in statistics and machine…”
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A Transformational Characterization of Unconditionally Equivalent Bayesian Networks
Published 01-03-2022“…We consider the problem of characterizing Bayesian networks up to unconditional equivalence, i.e., when directed acyclic graphs (DAGs) have the same set of…”
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Symmetrically colored Gaussian graphical models with toric vanishing ideal
Published 05-11-2022“…SIAM Journal on Applied Algebra and Geometry, Volume 7, Issue 1, March 2023, Pages: 133 - 158 A colored Gaussian graphical model is a linear concentration…”
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Journal Article