Dhagash Mehta, Ph.D.

Dhagash Mehta, Ph.D.

Greater Philadelphia
27K followers 500+ connections

About

I am the Head of Applied Machine Learning Research (Investment Management) at Blackrock…

Activity

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Experience

  • BlackRock Graphic

    BlackRock

    New York, New York, United States

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    Malvern, Pennsylvania, United States

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    Malvern, PA

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    East Hartford, CT

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    Notre Dame, Indiana

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    Toronto, Canada Area

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    Berkeley, CA

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    Raleigh-Durham, North Carolina Area

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    Cambridge, United Kingdom

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    Syracuse, New York Area

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    Maynooth, Ireland

Education

  • University of Adelaide Graphic

    University of Adelaide

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    Nonconvex optimization and extremization for physics problems. Degree approved 2009; convocation 2011.

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    Applied and computational mathematics and statistics, as well as theoretical physics courses.

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    University topper (Gold Medal).

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Publications

  • An inversion-relaxation approach for sampling stationary points of spin model Hamiltonians.

    The Journal of chemical physics

    Sampling the stationary points of a complicated potential energy landscape is a challenging problem. Here, we introduce a sampling method based on relaxation from stationary points of the highest index of the Hessian matrix. We illustrate how this approach can find all the stationary points for potentials or Hamiltonians bounded from above, which includes a large class of important spin models, and we show that it is far more efficient than previous methods. For potentials unbounded from above,…

    Sampling the stationary points of a complicated potential energy landscape is a challenging problem. Here, we introduce a sampling method based on relaxation from stationary points of the highest index of the Hessian matrix. We illustrate how this approach can find all the stationary points for potentials or Hamiltonians bounded from above, which includes a large class of important spin models, and we show that it is far more efficient than previous methods. For potentials unbounded from above, the relaxation part of the method is still efficient in finding minima and transition states, which are usually the primary focus of attention for atomistic systems.

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  • Investigating the sign problem for two-dimensional N=(2,2) and N=(8,8) lattice super Yang--Mills theories

    PoS LATTICE2011 (2011) 064

    Recently there has been some controversy in the literature concerning the existence of a fermion sign problem in the N=(2,2) supersymmetric Yang--Mills (SYM) theories on the lattice. In this work, we address this issue by conducting Monte Carlo simulations not only for N=(2,2) but also for N=(8,8) SYM in two dimensions for the U(N) theories with N=2, using the new ideas derived from topological twisting followed by geometric discretization. Our results from simulations provide the evidence that…

    Recently there has been some controversy in the literature concerning the existence of a fermion sign problem in the N=(2,2) supersymmetric Yang--Mills (SYM) theories on the lattice. In this work, we address this issue by conducting Monte Carlo simulations not only for N=(2,2) but also for N=(8,8) SYM in two dimensions for the U(N) theories with N=2, using the new ideas derived from topological twisting followed by geometric discretization. Our results from simulations provide the evidence that these theories do {\it not} suffer from a sign problem as the continuum limit is approached. These results thus boost confidence that these new lattice formulations can be used successfully to explore the nonperturbative aspects of the four-dimensional N=4 SYM theory.

    See publication

Languages

  • English

    Native or bilingual proficiency

  • Hindi

    Native or bilingual proficiency

  • Gujarati

    Native or bilingual proficiency

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