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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
arXiv Preprints
Artificial intelligence for partial differential equations in computational mechanics: A review
In recent years, Artificial intelligence (AI) has become ubiquitous, empowering various fields, especially integrating artificial intelligence and traditional science (AI for Science: Artificial intelligence for science), which has attracted widespre...
eess:eess:SYcs:cs:SYcs:cs:LG
arXiv Preprints
RealCQA-V2: A Diagnostic Benchmark for Structured Visual Entailment over Scientific Charts
Multimodal reasoning models often produce fluent answers supported by seemingly coherent rationales. Existing benchmarks evaluate only final-answer correctness. They do not support atomic visual entailment verification of intermediate steps, especial...
cs:cs:AI
arXiv Preprints
Replay-Free Continual Low-Rank Adaptation with Dynamic Memory
We revisit continual learning~(CL), which enables pre-trained vision transformers (ViTs) to sequentially fine-tune on new downstream tasks over time. However, as the scale of these models increases, catastrophic forgetting remains a more serious chal...
cs:cs:CVcs:cs:LG
arXiv Preprints
The hockey-stick conjecture for activated random walk
We prove a conjecture of Levine and Silvestri that the driven-dissipative activated random walk model on an interval drives itself directly to and then sustains a critical density. This marks the first rigorous confirmation of a sandpile model behavi...
math:math:PRphysics:cond-mat:stat-mech
arXiv Preprints
Equivariant sheaves for classical groups acting on Grassmannians
Let $V$ be a finite-dimensional complex vector space. Assume that $V$ is a direct sum of subspaces each of which is equipped with a nondegenerate symmetric or skew-symmetric bilinear form. In this paper, we introduce a stratification of the Grassmann...
math:math:RT
arXiv Preprints
LOGSAFE: Logic-Guided Verification for Trustworthy Federated Time-Series Learning
This paper introduces LOGSAFE, a defense mechanism for federated learning in time series settings, particularly within cyber-physical systems. It addresses poisoning attacks by moving beyond traditional update-similarity methods and instead using log...
cs:cs:CRcs:cs:AIcs:cs:DCcs:cs:LO
arXiv Preprints
Quantum geometric tensor determines the pure-state i.i.d. conversion rate in the resource theory of asymmetry for any compact Lie group
Quantifying physical concepts in terms of the ultimate performance of a given task has been central to theoretical progress, as illustrated by thermodynamic entropy and entanglement entropy, which respectively quantify irreversibility and quantum cor...
physics:quant-phphysics:cond-mat:stat-mech
arXiv Preprints
Dichotomies uniform on subspaces and formulas for dichotomy spectra
In this note we introduce a notion of dichotomy which generalizes the classical concept of exponential dichotomy and the recent notion of Bohl dichotomy. A key attribute is the discussion of the sets of subspaces of the state space on which the dicho...
math:math:DSmath:math:FA
arXiv Preprints
A Systematic Review of Empirical Research on Graphing Numerical Data in K-12 STEM Education
Graphs are essential representations in the professions and education concerning the science, technology, engineering, and mathematics (STEM) disciplines. Beyond their academic relevance, graphs find extensive utility in everyday scenarios, ranging f...
physics:physics:ed-ph
arXiv Preprints
Oscillations of random multiplicative functions under initial bias
We prove that if $f$ is a random completely multiplicative function, conditional $f(p)=1$ for each prime $p \le (\log x)^{2-ε}$, the probability that $\sum_{1\le n \le N}f(n)\ge 0$ for all $N\le x$ is $o(1)$ as $x \rightarrow \infty$. This solves a ...
math:math:NTmath:math:PR