Flat universe
  • Home
  • Articles

      Entropy Polarization-Based Data Compression Without Frozen Set Construction

      January 21, 2025

      | | |

      Computer Science
      Electrical Engineering and Systems Science
      Mathematics
      Information Theory
      Signal Processing
      Information Theory
      Information Theory
      Signal Processing
      Information Theory
      Classical source polar codes require the construction of frozen sets for given sources. While this scheme offers excellent theoretical performance, it faces challenges in practical data compression systems, including sensitivity to the accu...

      Chasing price drains liquidity

      January 21, 2025

      | | | | | | |

      Computer Science
      Computational Engineering, Finance, and Science
      Computational Engineering, Finance, and Science
      Assuming that the price in a Uniswap v3 style Automated Market Maker (AMM) follows a Geometric Brownian Motion (GBM), we prove that the strategy that adjusts the position of liquidity to track the current price leads to a deterministic and ...

      Ultralow-dimensionality reduction for identifying critical transitions by spatial-temporal PCA

      January 21, 2025

      | | | | | | |

      Statistics
      Computer Science
      Machine Learning
      Machine Learning
      Machine Learning
      Machine Learning
      Discovering dominant patterns and exploring dynamic behaviors especially critical state transitions and tipping points in high-dimensional time-series data are challenging tasks in study of real-world complex systems, which demand interpret...

      Approximate Puzzlepiece Compositing

      January 21, 2025

      | | | | |

      Computer Science
      Graphics
      Graphics
      The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation doma...

      Universal scaling of electrostatic effects of a curved counter-electrode on the emitter field enhancement

      January 21, 2025

      | | |

      Physics
      Mesoscale and Nanoscale Physics
      Mesoscale and Nanoscale Physics
      Experiments on field electron emission from single-tip nanoemitters have typically been carried out using a counter-electrode with a finite curvature radius RRR, positioned at a distance dgapd_{\rm{gap}}dgap​ from the emitter's apex. The effects o...

      Classical and quantum algorithms for characters of the symmetric group

      January 21, 2025

      | | | | | | |

      Physics
      Quantum Physics
      Quantum Physics
      Characters of irreducible representations are ubiquitous in group theory. However, computing characters of some groups such as the symmetric group SnS_nSn​ is a challenging problem known to be #P\#P#P-hard in the worst case. Here we describe a M...

      Shifts of dominant personality and spatial pattern formation due to spatially heterogeneous pollution

      January 21, 2025

      | | | | |

      Quantitative Biology
      Populations and Evolution
      Populations and Evolution
      Personality traits, such as boldness and shyness, play a significant role in shaping the survival strategies of animals. Industrial pollution has long posed serious threats to ecosystems and is typically distributed heterogeneously. However...

      On the Integral Representations of the kkk-Pell and kkk-Pell-Lucas Numbers

      January 21, 2025

      | | |

      Mathematics
      Number Theory
      Number Theory
      In this paper, the integral representations of the kkk-Pell and kkk-Pell-Lucas numbers are presented. Using Binet's formulas for these numbers, we obtain a number of identities and use elementary integral calculus to confirm their integral ...

      Mechanism Design for Blockchain Order Books against Selfish Miners

      January 21, 2025

      | | |

      Computer Science
      Computer Science and Game Theory
      Human-Computer Interaction
      Networking and Internet Architecture
      Computer Science and Game Theory
      Human-Computer Interaction
      Networking and Internet Architecture
      In blockchain-based order book systems, buyers and sellers trade assets, while it is miners to match them and include their transactions in the blockchain. It is found that many miners behave selfishly and myopically, prioritizing transacti...

      On existence and uniqueness for transport equations with non-smooth velocity fields under inhomogeneous Dirichlet data

      January 21, 2025

      | | |

      Mathematics
      Analysis of PDEs
      Analysis of PDEs
      A transport equation with a non-smooth velocity field is considered under inhomogeneous Dirichlet boundary conditions. The spatial gradient of the velocity field is assumed in Lp′L^{p'}Lp′ in space and the divergence of the velocity field is as...
      • Previous
        • 1More pages
      • 131
      • 132
      • 133
      • 134
      • 135
        • More pages18253
      • Next