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1
Rapidly Mixing Random Walks via Log-Concave Polynomials (Part 2)

Authors: Anari, Nima

Contributors: Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Google (Firm)

Subject Terms: Log-concave polynomials, Mixing time, Random walks

File Description: 101:56 minutes; video/mp4; text/html; text/plain; image/jpeg

Relation: Algorithms and Randomness Center (ARC) Colloquium; http://hdl.handle.net/1853/62033

Availability: http://hdl.handle.net/1853/62033


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2
Rapidly Mixing Random Walks via Log-Concave Polynomials (Part 1)

Authors: Anari, Nima

Contributors: Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Stanford University. Dept. of Computer Science

Subject Terms: Log-concave polynomials, Mixing time, Random walks

File Description: 86:38 minutes; video/mp4; text/html; text/plain; image/jpeg

Relation: Algorithms and Randomness Center (ARC) Colloquium; http://hdl.handle.net/1853/62032

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3
Rapidly Mixing Random Walks via Log-Concave Polynomials (Part 1)

Authors: Anari, Nima

Contributors: Algorithms and Randomness Center, College of Computing, Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Stanford University. Dept. of Computer Science

Subject Terms: Log-concave polynomials, Mixing time, Random walks

File Description: 86:38 minutes; video/mp4; text/html; text/plain; image/jpeg

Relation: ARC Colloquium; Algorithms and Randomness Center (ARC) Colloquium; http://hdl.handle.net/1853/62032

Availability: http://hdl.handle.net/1853/62032


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4
Rapidly Mixing Random Walks via Log-Concave Polynomials (Part 2)

Authors: Anari, Nima

Contributors: Algorithms and Randomness Center, College of Computing, Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Google (Firm)

Subject Terms: Log-concave polynomials, Mixing time, Random walks

File Description: 101:56 minutes; video/mp4; text/html; text/plain; image/jpeg

Relation: ARC Colloquium; Algorithms and Randomness Center (ARC) Colloquium; http://hdl.handle.net/1853/62033

Availability: http://hdl.handle.net/1853/62033


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5
A polynomial-time approximation algorithm for all-terminal network reliability

Authors: Jerrum, Mark

Contributors: Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Queen Mary, University of London. School of Mathematical Sciences

Subject Terms: Algorithms, Polynomial-time approximation

File Description: 44:28 minutes; video/mp4; text/html; text/plain

Relation: Workshop on Algorithms and Randomness 2018; http://hdl.handle.net/1853/59720

Availability: http://hdl.handle.net/1853/59720


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6
A polynomial-time approximation algorithm for all-terminal network reliability

Authors: Jerrum, Mark

Contributors: Algorithms and Randomness Center, College of Computing, Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Queen Mary, University of London. School of Mathematical Sciences

Subject Terms: Algorithms, Polynomial-time approximation

File Description: 44:28 minutes; video/mp4; text/html; text/plain

Relation: ARC Colloquium; Workshop on Algorithms and Randomness 2018; http://hdl.handle.net/1853/59720

Availability: http://hdl.handle.net/1853/59720


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7
Dissertation/ Thesis
A new optimization method for reservoir systems

Authors: Iftikhar, Bilal

Contributors: Georgakakos, Aris P., Wang, Jingfeng, Fritz, Hermann M., Luo, Jian, Liao, Wenjing, Civil and Environmental Engineering

Subject Terms: ACF basin, ACT basin, Orthogonal Function Dynamic Programming, Reservoir system management, Reservoir optimization, HEC-ResSim, Chebyshev polynomials

File Description: application/pdf

Relation: https://hdl.handle.net/1853/72475

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8
Dissertation/ Thesis
Methods of Analysis and Design of Dynamical Systems Using Homogeneous Polynomial Lyapunov Functions

Authors: Immanuel, Gidado-Yisa

Contributors: Feron, Eric, Tsiotras, Panagiotis, Vamvoudakis, Kyriakos, Shamma, Jeff S., Chen, Yongxin, Aerospace Engineering

Subject Terms: Lyapunov Functions, Homogeneous Polynomials, L1 Problem, System Stability, Control Theory

File Description: application/pdf

Relation: https://hdl.handle.net/1853/71953

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9
Dissertation/ Thesis
Symmetric nonnegative forms and sums of squares: mean roads to infinity

Authors: Acevedo Habeych, Jose Gabriel

Contributors: Blekherman, Grigoriy, Baker, Matthew, Leykin, Anton, Riener, Cordian, Yu, Josephine, Mathematics

Subject Terms: Nonnegative polynomials, sums of squares, convex algebraic geometry, symmetric group, representation theory, tropicalization

File Description: application/pdf

Relation: https://hdl.handle.net/1853/72679

Availability: https://hdl.handle.net/1853/72679


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10
Dissertation/ Thesis
Divisors and multiplicities under tropical and signed shadows

Authors: Gunn, Trevor

Contributors: Baker, Matthew, Blekherman, Grigory, Leykin, Anton, Lorscheid, Oliver, Yu, Josephine, Mathematics

Subject Terms: multiplicities, divisors, algebraic geometry, intersection theory, hyperfields, idylls, ordered blueprints, Descartes' Rule, Newton polygons, tropical geometry, signed polynomials, real algebraic geometry

File Description: application/pdf

Relation: https://hdl.handle.net/1853/72726

Availability: https://hdl.handle.net/1853/72726


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11
Dissertation/ Thesis
Methods of Analysis and Design of Dynamical Systems Using Homogeneous Polynomial Lyapunov Functions

Authors: Immanuel, Gidado-Yisa

Contributors: Feron, Eric, Tsiotras, Panagiotis, Vamvoudakis, Kyriakos, Shamma, Jeff S., Chen, Yongxin, College of Engineering, Daniel Guggenheim School of Aerospace Engineering, Aerospace Engineering

Subject Terms: Lyapunov Functions, Homogeneous Polynomials, L1 Problem, System Stability, Control Theory

File Description: application/pdf

Relation: https://hdl.handle.net/1853/71953

Availability: https://hdl.handle.net/1853/71953


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12
New Applications of the Polynomial Method to Problems in Combinatorics

Authors: Croot, Ernest

Contributors: Georgia Institute of Technology. School of Mathematics

Subject Terms: Cap-set problem, Combinatorics, Polynomial method

File Description: 51:26 minutes; video/mp4; text/html

Relation: School of Mathematics Colloquia; http://hdl.handle.net/1853/55993

Availability: http://hdl.handle.net/1853/55993


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13
New Applications of the Polynomial Method to Problems in Combinatorics

Authors: Croot, Ernest

Contributors: College of Sciences, School of Mathematics, Georgia Institute of Technology. School of Mathematics

Subject Terms: Cap-set problem, Combinatorics, Polynomial method

File Description: 51:26 minutes; video/mp4; text/html

Relation: School of Mathematics Colloquium; School of Mathematics Colloquia; http://hdl.handle.net/1853/55993

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14
Strongly Rayleigh distributions and their Applications in Algorithm Design

Authors: Gharan, Shayan Oveis

Contributors: Algorithms and Randomness Center, College of Computing, Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, University of Washington. Dept. of Computer Science and Engineering

Subject Terms: Algorithm design, Stable polynomials, Strongly rayleigh distributions, Traveling salesman problem

File Description: 58:51 minutes; video/mp4; text/html

Relation: ARC Colloquium; Algorithms and Randomness Center (ARC) Colloquium; http://hdl.handle.net/1853/55876

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15
Conference
Visual Network Traffic Classification Using Multi-Dimensional Piecewise Polynomial Models

Authors: Sanders, Sean, Jampana, Sahitya

Contributors: Undergraduate Research Opportunities Program, Georgia Institute of Technology. Undergraduate Research Opportunities Program, Electrical and Computer Engineering

Subject Terms: Network traffic classification, Piecewise polynomial approximation, Malicious traffic, Polyfit, Matlab, Polynomial curve fitting

File Description: 17:41 minutes; video/mp4; text/html; text/plain

Relation: Undergraduate Research Spring Symposium and Awards; Undergraduate Research Symposia; http://hdl.handle.net/1853/32549

Availability: http://hdl.handle.net/1853/32549


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17
Sums of Squares In Optimization

Authors: Blekherman, Grigoriy

Contributors: Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Georgia Institute of Technology. College of Computing, Georgia Institute of Technology. School of Computer Science, Georgia Institute of Technology. School of Mathematics, Georgia Institute of Technology. School of Electrical and Computer Engineering

Subject Terms: Sums of squares, Nonnegative polynomials, Optimization

File Description: 32:18 minutes; video/mp4; text/html; text/plain

Relation: ARC5 Distinguished Lecture Series; http://hdl.handle.net/1853/45041

Availability: http://hdl.handle.net/1853/45041


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18
Sums of Squares In Optimization

Authors: Blekherman, Grigoriy

Contributors: Algorithms and Randomness Center, College of Computing, Georgia Institute of Technology. Algorithms, Randomness and Complexity Center, Georgia Institute of Technology. College of Computing, Georgia Institute of Technology. School of Computer Science, Georgia Institute of Technology. School of Mathematics, Georgia Institute of Technology. School of Electrical and Computer Engineering

Subject Terms: Sums of squares, Nonnegative polynomials, Optimization

File Description: 32:18 minutes; video/mp4; text/html; text/plain

Relation: ARC5 Distinguished Lecture; ARC5 Distinguished Lecture Series; http://hdl.handle.net/1853/45041

Availability: http://hdl.handle.net/1853/45041


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19
Conference
Extending Polynomials in Combinatorics

Authors: Loebl, Martin

Contributors: College of Sciences, School of Mathematics

Subject Terms: chromatic polynomial

File Description: application/pdf

Relation: Graph Theory @ Georgia Tech; http://hdl.handle.net/1853/44210

Availability: http://hdl.handle.net/1853/44210


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20
Dissertation/ Thesis
High-speed Channel Analysis and Design using Polynomial Chaos Theory and Machine Learning

Authors: Ahadi Dolatsara, Majid

Contributors: Swaminathan, Madhavan, Lim, Sung-Kyu, Mukhopadhyay, Saibal, Raychowdhury, Arijit, Sitaraman, Suresh K, Chau, Duen Horng, Electrical and Computer Engineering

Subject Terms: Signal integrity, High-speed channel, Eye diagram, Jitter, Noise, Intersymbol interference, Crosstalk, CTLE, SerDes, Machine learning, Polynomial chaos, Bayesian optimization, Inverse design, Invertible neural network, Statistical analysis

File Description: application/pdf

Relation: http://hdl.handle.net/1853/64738

Availability: http://hdl.handle.net/1853/64738


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