Mutual Information Scaling for Tensor Network Machine Learning

Kavli Affiliate: Birgitta Whaley | First 5 Authors: Ian Convy, William Huggins, Haoran Liao, K. Birgitta Whaley, | Summary: Tensor networks have emerged as promising tools for machine learning, inspired by their widespread use as variational ansatze in quantum many-body physics. It is well known that the success of a given tensor network ansatz depends […]


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PROBs and perverse sheaves I. Symmetric products

Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Mikhail Kapranov, Vadim Schechtman, , , | Summary: Algebraic structures involving both multiplications and comultiplications (such as, e.g., bialgebras or Hopf algebras) can be encoded using PROPs (categories with PROducts and Permutations) of Adams and MacLane. To encode such structures on objects of a braided monoidal category, […]


Continue.. PROBs and perverse sheaves I. Symmetric products

PROBs and perverse sheaves I. Symmetric products

Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Mikhail Kapranov, Vadim Schechtman, , , | Summary: Algebraic structures involving both multiplications and comultiplications (such as, e.g., bialgebras or Hopf algebras) can be encoded using PROPs (categories with PROducts and Permutations) of Adams and MacLane. To encode such structures on objects of a braided monoidal category, […]


Continue.. PROBs and perverse sheaves I. Symmetric products

PROBs and perverse sheaves I. Symmetric products

Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Mikhail Kapranov, Vadim Schechtman, , , | Summary: Algebraic structures involving both multiplications and comultiplications (such as, e.g., bialgebras or Hopf algebras) can be encoded using PROPs (categories with PROducts and Permutations) of Adams and MacLane. To encode such structures on objects of a braided monoidal category, […]


Continue.. PROBs and perverse sheaves I. Symmetric products

PROBs and perverse sheaves I. Symmetric products

Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Mikhail Kapranov, Vadim Schechtman, , , | Summary: Algebraic structures involving both multiplications and comultiplications (such as, e.g., bialgebras or Hopf algebras) can be encoded using PROPs (categories with PROducts and Permutations) of Adams and MacLane. To encode such structures on objects of a braided monoidal category, […]


Continue.. PROBs and perverse sheaves I. Symmetric products

PROBs and perverse sheaves I. Symmetric products

Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Mikhail Kapranov, Vadim Schechtman, , , | Summary: Algebraic structures involving both multiplications and comultiplications (such as, e.g., bialgebras or Hopf algebras) can be encoded using PROPs (categories with PROducts and Permutations) of Adams and MacLane. To encode such structures on objects of a braided monoidal category, […]


Continue.. PROBs and perverse sheaves I. Symmetric products

DeepSZ: Identification of Sunyaev-Zel’dovich Galaxy Clusters using Deep Learning

Kavli Affiliate: W. L. Kimmy Wu | First 5 Authors: Zhen Lin, Nicholas Huang, Camille Avestruz, W. L. Kimmy Wu, Shubhendu Trivedi | Summary: Galaxy clusters identified from the Sunyaev Zel’dovich (SZ) effect are a key ingredient in multi-wavelength cluster-based cosmology. We present a comparison between two methods of cluster identification: the standard Matched Filter […]


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Principles of Low Dissipation Computing from a Stochastic Circuit Model

Kavli Affiliate: David T. Limmer | First 5 Authors: Chloe Ya Gao, David T. Limmer, , , | Summary: We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the interplay between accuracy, speed, and […]


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Approaching the motional ground state of a 10 kg object

Kavli Affiliate: Nergis Mavalvala | First 5 Authors: Chris Whittle, Evan D. Hall, Sheila Dwyer, Nergis Mavalvala, Vivishek Sudhir | Summary: The motion of a mechanical object — even a human-sized object — should be governed by the rules of quantum mechanics. Coaxing them into a quantum state is, however, difficult: the thermal environment masks […]


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Discovery of Candidate X-ray Jets in High-Redshift Quasars

Kavli Affiliate: Herman L. Marshall | First 5 Authors: Bradford Snios, Daniel A. Schwartz, Aneta Siemiginowska, MaƂgosia Sobolewska, Mark Birkinshaw | Summary: We present Chandra X-ray observations of 14 radio-loud quasars at redshifts $3 < z < 4$, selected from a well-defined sample. All quasars are detected in the 0.5-7.0 keV energy band, and resolved […]


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