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      Cox reduction and confidence sets of models: a theoretical elucidation

      February 24, 2023

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      Statistics
      Mathematics
      Statistics Theory
      Statistics Theory
      Methodology
      For sparse high-dimensional regression problems, Cox and Battey [1, 9] emphasised the need for confidence sets of models: an enumeration of those small sets of variables that fit the data equivalently well in a suitable statistical sense. T...

      Tutorial on survival modeling with applications to omics data

      February 24, 2023

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      Quantitative Biology
      Statistics
      Genomics
      Applications
      Motivation: Identification of genomic, molecular and clinical markers prognostic of patient survival is important for developing personalized disease prevention, diagnostic and treatment approaches. Modern omics technologies have made it po...

      Half-spherical twists on derived categories of coherent sheaves

      February 24, 2023

      Mathematics
      Algebraic Geometry
      For a flat morphism π ⁣:X→T\pi \colon X \to Tπ:X→T between smooth quasi-projective varieties and its fiber X0X_0X0​, we prove that spherical objects on Db(X)D^b(X)Db(X) pushed-forward from Db(X0)D^b(X_0)Db(X0​) induce autoequivalences of Db(X0)D^b(X_0)Db(X0​) itself. Our constructio...

      Strain-driven phonon topological phase transition impedes thermal transport in titanium monoxide

      February 24, 2023

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      Physics
      Computational Physics
      Materials Science
      Topological phonon states in crystalline materials have attracted significant research interests due to their importance for fundamental physical phenomena, yet their implication on phonon thermal transport remains largely unexplored. Here,...

      Effective Graph-Neural-Network based Models for Discovering Structural Hole Spanners in Large-Scale and Diverse Networks

      February 23, 2023

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      Computer Science
      Social and Information Networks
      Social and Information Networks
      A Structural Hole Spanner (SHS) is a set of nodes in a network that act as a bridge among different otherwise disconnected communities. Numerous solutions have been proposed to discover SHSs that generally require high run time on large-sca...

      A Principal-Agent Model for Optimal Incentives in Renewable Investments

      February 23, 2023

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      Economics
      Mathematics
      Quantitative Finance
      General Economics
      Optimization and Control
      Economics
      General Economics
      Optimization and Control
      Economics
      We investigate the optimal regulation of energy production in alignment with the long-term goals of the Paris Climate Agreement. We analyze the optimal regulatory incentives to foster the development of non-emissive electricity generation w...

      Stochastic equations with singular drift driven by fractional Brownian motion

      February 23, 2023

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      Mathematics
      Probability
      Probability
      We consider stochastic differential equation dXt=b(Xt)dt+dWtH, d X_t=b(X_t) dt +d W_t^H, dXt​=b(Xt​)dt+dWtH​, where the drift bbb is either a measure or an integrable function, and WHW^HWH is a ddd-dimensional fractional Brownian motion with Hurst parameter H∈(0,1)H\in(0,1)H∈(0,1), $d\i...

      Extending Wormald's Differential Equation Method to One-sided Bounds

      February 23, 2023

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      Mathematics
      Computer Science
      Probability
      Discrete Mathematics
      Combinatorics
      Probability
      Discrete Mathematics
      Combinatorics
      In this note, we formulate a "one-sided" version of Wormald's differential equation method. In the standard "two-sided" method, one is given a family of random variables which evolve over time and which satisfy some conditions including a t...

      Real-Time Damage Detection in Fiber Lifting Ropes Using Lightweight Convolutional Neural Networks

      February 23, 2023

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      Computer Science
      Computer Vision and Pattern Recognition
      Machine Learning
      Computer Vision and Pattern Recognition
      Machine Learning
      The health and safety hazards posed by worn crane lifting ropes mandate periodic inspection for damage. This task is time-consuming, prone to human error, halts operation, and may result in the premature disposal of ropes. Therefore, we pro...

      The Adams differentials on the classes hj3h_j^3hj3​

      February 23, 2023

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      Mathematics
      Algebraic Topology
      In filtration 1 of the Adams spectral sequence, using secondary cohomology operations, Adams computed the differentials on the classes hjh_jhj​, resolving the Hopf invariant one problem. In Adams filtration 2, using equivariant and chromatic h...
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