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arXiv Preprints
Abstract Markov Random Fields
Markov random fields are known to be fully characterized by properties of their information diagrams, or I-diagrams. In particular, for Markov random fields, regions in the I-diagram corresponding to disconnected vertex sets in the graph vanish. Rece...
cs:cs:ITmath:math:IT
arXiv Preprints
Insect-Scale Tailless Robot with Flapping Wings: A Simple Structure and Drive for Yaw Control
Insect-scale micro-aerial vehicles, especially lightweight, flapping-wing robots, are becoming increasingly important for safe motion sensing in spatially constrained environments such as living spaces. However, yaw control using flapping wings is fu...
cs:cs:RO
arXiv Preprints
Mating parabolic rational maps with Hecke groups
We prove that any degree $d$ rational map having a parabolic fixed point of multiplier $1$ with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group $H_{d+1}$, with the mating realized by an algebraic ...
math:math:DSmath:math:CVmath:math:GR
arXiv Preprints
SOAP: Enhancing Spatio-Temporal Relation and Motion Information Capturing for Few-Shot Action Recognition
High frame-rate (HFR) videos of action recognition improve fine-grained expression while reducing the spatio-temporal relation and motion information density. Thus, large amounts of video samples are continuously required for traditional data-driven ...
cs:cs:CVcs:cs:AI
arXiv Preprints
Numerical modeling of SNSPD absorption utilizing optical conductivity with quantum corrections
Superconducting nanowire single-photon detectors are widely used in various fields of physics and technology, due to their high efficiency and timing precision. Although, in principle, their detection mechanism offers broadband operation, their wavel...
physics:cond-mat:supr-conphysics:physics:ins-det
arXiv Preprints
The nucleus of a $Q$-polynomial distance-regular graph
Let $Γ$ denote a $Q$-polynomial distance-regular graph with diameter $D\geq 1$. For a vertex $x$ of $Γ$ the corresponding subconstituent algebra $T=T(x)$ is generated by the adjacency matrix $A$ of $Γ$ and the dual adjacency matrix $A^*=A^*(x)$ of...
math:math:COmath:math:QA
arXiv Preprints
Deletion-addition of a smooth conic for free curves
We describe the behaviour of a free reduced plane projective curve with respect to the deletion, respectively addition, of a smooth conic. These results apply in particular to conic-line arrangements. We present some obstructions to the geometry and ...
math:math:AGmath:math:AC
arXiv Preprints
Multi-variable Quantification of BDDs in External Memory using Nested Sweeping (Extended Paper)
Previous research on the Adiar BDD package has been successful at designing algorithms capable of handling large Binary Decision Diagrams (BDDs) stored in external memory. To do so, it uses consecutive sweeps through the BDDs to resolve computations....
cs:cs:DScs:cs:DB
arXiv Preprints
The Benard-Conway invariant of two-component links
The Benard-Conway invariant of links in the 3-sphere is a Casson-Lin type invariant defined by counting irreducible SU(2) representations of the link group with fixed meridional traces. For two-component links with linking number one, the invariant h...
math:math:GT
arXiv Preprints
Near coincidences and nilpotent division fields
Let $E/\mathbb{Q}$ be an elliptic curve. We say that $E$ has a near coincidence of level $(n,m)$ if $m \mid n$ and $\mathbb{Q}(E[n]) = \mathbb{Q}(E[m],ζ_{n})$. We classify near coincidences of prime power level and use this result to give a classifi...
math:math:NT
arXiv Preprints
Estimation of service value parameters for a queue with unobserved balking
In Naor's model [17], customers decide whether or not to join a queue after observing its length. This work considers a variation in which customers are heterogeneous in their service value (reward) $R$ from completed service and homogeneous in ...
math:math:STstat:stat:TH
arXiv Preprints
Static Pricing for Single Sample Multi-unit Prophet Inequalities
In this paper, we study $k$-unit single sample prophet inequalities. A seller has $k$ identical, indivisible items to sell. A sequence of buyers arrive one-by-one, with each buyer's private value for the item, $X_i$, revealed to the seller when ...
cs:cs:GTcs:cs:DS
arXiv Preprints
A Fast Dynamic Internal Predictive Power Scheduling Approach for Power Management in Microgrids
This paper presents a Dynamic Internal Predictive Power Scheduling (DIPPS) approach for optimizing power management in microgrids, particularly focusingon external power exchanges among diverse prosumers. DIPPS utilizes a dynamic objective function w...
eess:eess:SYcs:cs:SY
arXiv Preprints
Dataset Distillation-based Hybrid Federated Learning on Non-IID Data
In federated learning, the heterogeneity of client data has a great impact on the performance of model training. Many heterogeneity issues in this process are raised by non-independently and identically distributed (non-IID) data. To address the issu...
cs:cs:LGcs:cs:AI
arXiv Preprints
Quantum entanglement in phase space
While commonly used entanglement criteria for continuous variable systems are based on quadrature measurements, here we study entanglement detection from measurements of the Wigner function. These are routinely performed in platforms such as trapped ...
physics:quant-ph
arXiv Preprints
Understanding the Key Factors Influencing Continued Use Intention Toward Intangible Cultural Heritage (ICH)-Themed Virtual Reality Games
Intangible Cultural Heritage (ICH) faces critical challenges in the digital age, including reduced public engagement, restricted accessibility, and difficulties in communicating complex cultural practices to modern audiences. Virtual Reality (VR) gam...
cs:cs:CYcs:cs:HC
arXiv Preprints
Privacy-Enhanced Over-the-Air Federated Learning via Client-Driven Power Balancing
This paper introduces a novel privacy-enhanced over-the-air Federated Learning (OTA-FL) framework using client-driven power balancing (CDPB) to address privacy concerns in OTA-FL systems. In recent studies, a server determines the power balancing bas...
eess:eess:SP
arXiv Preprints
SwiftQueue: Optimizing Low-Latency Applications with Swift Packet Queuing
Low Latency, Low Loss, and Scalable Throughput (L4S), as an emerging router-queue management technique, has seen steady deployment in the industry. An L4S-enabled router assigns each packet to the queue based on the packet header marking. Currently, ...
cs:cs:NIcs:cs:LG
arXiv Preprints
Inequality constraints in variational quantum circuits with qudits
Quantum optimization is emerging as a prominent candidate for exploiting the capabilities of near-term quantum devices. Many application-relevant optimization tasks require the inclusion of inequality constraints, usually handled by enlarging the Hil...
physics:quant-ph
arXiv Preprints
Isolated circular orders on free products of cyclic groups
In this paper, we construct countably many isolated circular orders on the free products $G = F_{2n} \ast \mathbb{Z}_{m_1} \ast \cdots \ast \mathbb{Z}_{m_k}$ of cyclic groups. Moreover, we prove that these isolated circular orders are not the automor...
math:math:GRmath:math:DS