Other Computer Science · Thu, Oct 8, 2026

Distributed computing, game theory, information theory and more.

arXiv cs.IT · eess.SP · math.IT

FTN Signaling: Spectral Efficiency from BPSK to 16-QAM

In briefFTN Signaling: How Spectral Efficiency Varies from BPSK to 16-QAM

SummaryThis paper studies faster-than-Nyquist (FTN) signaling, which sends symbols closer together than the Nyquist limit to raise spectral efficiency at the cost of added inter-symbol interference. It analyzes achievable information rates for BPSK, QPSK, and 16-QAM using an MMSE channel-shortening detector under a power constraint. Lower-order constellations tolerate more aggressive acceleration, while 16-QAM performs best closer to the Nyquist limit, with optimal factors of about 0.65, 0.75, and 0.90 at 6 dB SNR.

Emre Cerci, Adem Cicek, Melda Yuksel et al.

arXiv cs.IT · math.IT

An Improved Upper Bound on the Capacity of the Primitive Diamond Relay Channel

In briefA Tighter Capacity Upper Bound for the Primitive Diamond Relay Channel

SummaryThis paper studies the capacity of the primitive diamond relay channel, a network with one source, two relays, and one destination. Using the Csiszár–Körner–Marton sum identity and Gallager-type identification, it derives an upper bound that improves on existing ones. For Gaussian channels, the bound matches a previously known strengthened Gaussian upper bound. For discrete memoryless channels, it can be strictly tighter than both the cut-set bound and the existing bound, and the improvement is assessed on several channel examples.

Deniz G\"und\"uz, Yanxiao Liu, Yi Liu

arXiv cs.IT · math.IT

Thresholds for Local Coordinate-Wise Linear Properties of Random One-Point AG Codes

In briefThresholds for local coordinate-wise linear properties of random AG codes

SummaryThis paper studies local coordinate-wise linear (LCL) properties of random one-point algebraic geometry (AG) codes. It proves that under explicit alphabet and sampling conditions, these codes have the same LCL threshold rates as random linear codes. The authors also identify a flaw in a previously claimed above-threshold proof for random Reed-Solomon codes and provide a different argument. The results yield new list decoding, list recovery, and proximity gap guarantees for random one-point AG codes.

Chen Yuan, Ruiqi Zhu

arXiv cs.IT · math.IT

Exact Second-Order Asymptotics for the Discrete Wyner--Ziv Problem

In briefExact second-order asymptotics for the discrete Wyner–Ziv problem

SummaryThis paper revisits the discrete Wyner–Ziv problem and establishes exact second-order asymptotics. It derives a second-order converse bound using posterior decomposition, concentration inequalities, and a conditional Gaussian approximation for martingales. It also extends an earlier achievability result by Li and Li by letting the test channel depend on the type of the source sequence. Numerical examples show the earlier bound is not always optimal, with the new achievability result reducing the second-order coding rate by 10.77% at excess-distortion probability 0.1 and by 21.35% at 0.2 for a quaternary source.

Lin Zhou

arXiv cs.IT · math.IT

Estimation with Quantized Parameter Side-Information

In briefParameter estimation when the estimator also gets a quantized version of the parameter

SummaryThe paper studies a parameter estimation problem in which the estimator observes independent, identically distributed samples and also a quantized version of the parameter. The number of quantization levels is limited, but the quantization can otherwise be optimized. The authors give upper and lower bounds on the minimax risk, which decay at similar rates when both the number of samples and the number of quantization levels are large.

Mathis Wetterwald, Ofer Shayevitz, Mich\`ele Wigger

arXiv cs.DC

Capturing a Moving Target on Star Graphs by Two Communicating Mobile Agents

In briefTwo Communicating Robots Catching a Moving Target on Star Graphs

SummaryThis paper studies searching for a moving target on an m-ray star graph, a generalization of linear search to several directions. The target is placed adversarially on one ray and moves at constant speed. Two robots cooperate under either a face-to-face communication model or an asymmetric sender-receiver model. The authors give upper bounds on the competitive ratio under three knowledge assumptions and derive lower bounds in some cases.

Khaled Jawhar, Evangelos Kranakis

arXiv math.CO · cs.IT · math.IT

Covering radius of rank-metric codes via covering lifts and clubs

In briefCovering radius of rank-metric codes via covering lifts and clubs

SummaryThe paper introduces a generator-matrix-based geometric method for studying the covering radius of linear rank-metric codes over finite fields. Using covering lifts derived from the code's q-system, the covering radius is expressed through hyperplane weights, giving an exact criterion for the maximal value and an upper bound otherwise. For one-dimensional codes, the authors determine the covering radius for several boundary minimum distances and for all such codes with extension degree m in {3, 4, 5}.

Giuseppe Marino, Alessandro Neri, Alessia Vallefuoco

arXiv cs.IT · math.CO · math.IT

Breaking linearity in the sum-rank metric: MSRD codes from switched σ-rational normal curves

In briefNon-linear maximum sum-rank distance codes built from switched curves

SummaryThe paper builds a family of scalar-closed, non-additive maximum sum-rank distance (MSRD) codes. It switches norm components of a σ-rational normal curve and lifts the point set through a linearized Reed–Solomon syndrome map. Partitions satisfying Condition (◇) yield codes with minimum sum-rank distance δ, and these are non-additive when a curve component is kept.

Daniele Bartoli, Giovanni Giuseppe Grimaldi, Giovanni Longobardi

arXiv cs.DC · cs.SE

NosRacer: Dynamic Detection of Race Conditions in On-Device Network Operating Systems

In briefNosRacer: Dynamic Detection of Race Conditions in On-Device Network Operating Systems

SummaryThis paper presents NosRacer, a dynamic analysis framework that detects race conditions in industrial on-device network operating systems, where asynchronous message ordering can cause configuration errors. It uses a two-phase design: a concentration phase that narrows analysis to relevant components and state variables, and a perturbation phase that alters message asynchrony to expose race-prone interleavings. The framework was implemented in a commercial NOS and tested on five key control-plane components.

Runze Wu, Jingbo Zhai, Shanming Ping et al.

arXiv cs.DC

Federated Zeroth-Order Optimization with Direction Aggregation and Variance Reduction

In briefFederated zeroth-order optimization using direction aggregation and variance reduction

SummaryThis paper studies constrained nonsmooth nonconvex stochastic optimization in federated settings, where clients can only access stochastic function evaluations. It proposes a framework based on direction aggregation with two local sampling schemes: FedZOO builds local directions from a minibatch shared across multiple spherical queries, while FedVRZO uses independent sample-direction pairs. Both perform a single projected server update using a weighted aggregate of client directions, and the authors provide convergence guarantees for each. Experiments on black-box adversarial attacks demonstrate the methods' effectiveness.

Qianlong Dang, Baosheng Li

arXiv cs.DC

New Contraction Bounds for Multidimensional Asymptotic Consensus in Dynamic Networks

In briefNew contraction bounds for multidimensional consensus in dynamic networks

SummaryThis paper studies multidimensional asymptotic agreement in dynamic networks, where nodes must converge to each other's inputs while staying in their convex hull. It gives a new upper bound on the contraction rate in the non-split network model, obtained by adapting the BallMidpoint algorithm. The paper also proves a multidimensional lower bound and shows that BallMidpoint is asymptotically optimal for a single round.

Zeremonienmeister Berber Aab, Darya Melnyk, Stefan Schmid

arXiv cs.IT · math.IT

WZIP and WLZ4: LZ77 Codecs with Match-Length-Dependent Sliding Windows

In briefWZIP and WLZ4: LZ77 compressors whose window size depends on match length

SummaryThe paper presents two LZ77-based compression formats, WLZ4, a byte-aligned LZ4-class format, and WZIP, an entropy-coded Zstandard-class format. Each match length gets its own sliding window, and the decoder infers the allowed offset range from the decoded length. On the Silesia corpus, WLZ4 reaches a compression ratio up to 16% above LZ4HC but decodes more slowly. WZIP exceeds the compression ratio of Zstandard 22, with its trusted decoder running at about 91% of Zstandard's speed.

Yingquan "Cody" Wu

arXiv cs.IT · math.IT

Distributed Constrained Resource Management in 6G Networks: A Scalable Hybrid Model-Learning Framework

In briefDistributed resource management for 6G networks using a scalable hybrid learning framework

SummaryThis paper addresses radio resource management in 6G wireless networks, where dynamic demands and interference make centralized optimization impractical. It proposes a two-phase hybrid framework that first allocates minimum resources to meet users' QoS needs based on channel statistics, then uses a multi-agent system to distribute remaining resources for throughput maximization. Simulations with 50MHz bandwidth report up to 40% higher throughput and 100% constraint satisfaction compared with existing baselines.

Thang X. Vu, Cuong Le, Symeon Chatzinotas et al.

arXiv eess.SP · cs.IT · math.IT

Outage-Aware Robust Sensing for UAV ISAC Systems

In briefOutage-aware robust sensing for drone tracking with ISAC

SummaryThis paper studies power allocation for tracking unmanned aerial vehicles using integrated sensing and communications across multiple base stations, where dynamic blockage makes available sensing links uncertain. The authors propose a framework that predicts next-slot link availability with a history-aware predictor, keeps plausible patterns through adaptive conformal prediction sets, and enforces tracking constraints only on non-outage patterns. In paired closed-loop simulations over five random seeds, the method reports a 0.01% serviceable-slot constraint-violation rate and 47.0% less power than protecting all non-outage patterns.

Qiming Li, Lei Zhang, Haoran Xu et al.

arXiv econ.TH · cs.GT

Delegate Pricing to Algorithms: When Slow and Steady Wins the Race

In briefDelegating Pricing to Algorithms: Why Slower Learning Can Win

SummaryThis paper studies how firms choose learning rates for pricing algorithms in a continuous-time pricing game. The authors model a meta-game where payoffs are the discounted sum of profits along the learning path. They find that under strategic substitutability firms prefer faster learning, while under strategic complementarity overly fast algorithms speed up rival responses and reduce transitional profits. The paper proves that firms design sluggish algorithms in equilibrium, even though convergence to the competitive price is guaranteed.

Galit Ashkenazi-Golan, Edward Plumb, Clemens Possnig et al.

arXiv cs.IT · math.CO · math.IT

From an entropic inequality for sums in abelian groups to the theorems of Ruzsa and Plünnecke

In briefAn entropy-based proof of Ruzsa and Plünnecke sumset inequalities in abelian groups

SummaryThis paper gives a direct information-theoretic proof of the Plünnecke–Ruzsa inequalities for finite subsets of abelian groups. The argument uses an elementary coupling inequality obtained by maximizing joint entropy, avoiding tensor powers and asymptotic constructions. It also derives Ruzsa's sumset triangle inequality and extends the result to non-abelian groups.

Chandra Nair, Aref Namayandeh, Zhaobang Zhu

★★★★☆ Notable
arXiv cs.IT · math.IT Code

Three Improved Lower Bounds for Binary Error-Correcting Codes

In briefThree Improved Lower Bounds for Binary Error-Correcting Codes

SummaryThis paper gives explicit binary codes with parameters (n,M,d) = (22,84,9), (24,196,9), and (25,65,11), where n is code length, M is the number of codewords, and d is minimum distance. These establish lower bounds A_2(22,9) ≥ 84, A_2(24,9) ≥ 196, and A_2(25,11) ≥ 65, improving the public table values of 80, 192, and 64. The authors release all codewords and an exhaustive verifier for independent checking.

WhyExplicit constructions improve three long-standing binary code lower bounds, verified exhaustively, giving concrete value to coding theory.

Kazuki Ota, Takayuki Osa, Tatsuya Harada

arXiv cs.IT · math.IT

DRL-Based AoI Minimization for RSMA in Finite-Blocklength MU-MISO

In briefDRL-Based AoI Minimization for RSMA in Finite-Blocklength MU-MISO Networks

SummaryThis paper studies minimizing age of information (AoI) in multi-user wireless networks operating with finite blocklengths, which suits short state-update packets. The authors propose an actor-critic deep reinforcement learning framework to learn dynamic resource allocation policies for rate-splitting multiple access in MU-MISO broadcast channels. Simulations show the method achieves lower AoI than state-of-the-art benchmarks, with larger gains at low SNR and short blocklengths. At high SNR it matches benchmark performance while requiring only a single neural-network forward pass during execution.

Enes Kaya, Mehmet Alp Demircio\u{g}lu, Elif Tugce Ceran et al.

arXiv cs.DC

LLM Agents as Resilience Engineers for Scientific Applications

In briefLLM Agents Automating Checkpoint/Restart for Scientific Applications

SummaryThis paper studies whether frontier LLM coding agents can automatically add checkpoint/restart resilience to HPC scientific applications. The authors built a benchmark of 16 MPI applications and ran a no-human-in-the-loop generate-validate-revise pipeline, which produced 41 working resilient implementations. Agent-driven resilience engineering worked well when critical state was visible or accessible through coherent abstractions, but modularized and fragmented state remained a major limitation.

Hai Duc Nguyen, Tekin Bicer, Kyle Chard et al.

arXiv cs.DC

Zepp: Accelerating Distributed MoE Serving under Relaxed Balance Constraints

In briefZepp: Faster distributed MoE serving with relaxed balance constraints

SummaryThis paper presents Zepp, a system that speeds up serving Mixture-of-Experts (MoE) models across many devices. Instead of treating load balancing as the main optimization goal, Zepp treats balance as a constraint and directly reduces the inter-node communication bottleneck. It optimizes expert placement, token routing, and execution in stages. Evaluated against 7 state-of-the-art MoE serving systems, Zepp achieves up to 6.68x MoE layer speedup and a 1.86x geometric mean speedup over the fastest baseline.

Chang Chen, Andrew Yang, Tiancheng Chen et al.

arXiv q-bio.NC · cs.IT · math.IT

If the brain were so simple: Information-based drivers of intelligence and their interaction through an n-body-inspired framework

In briefA framework of information-based drivers of intelligence and their interactions, modeled on n-body dynamics

SummaryThe paper examines how neural systems respond to different patterns of information, using concepts from informatics and algorithmic thermodynamics. It introduces "information enthalpy" as internal structured information available for prediction, and defines an information enthalpy potential (IEP) metric to quantify a signal's capacity to increase it. The authors also propose a testable, n-body-inspired model describing how these drivers move a neural system through a high-dimensional state space.

Brett J. Kagan, Johnson Zhou, Forough Habibollahi et al.

arXiv cs.DC

IAPRepair: In-Network Aggregation Enhanced Proactive Repair for Erasure-Coded Storage System

In briefIAPRepair: Proactive Repair for Erasure-Coded Storage Using In-Network Aggregation

SummaryErasure-coded storage tolerates failures with less overhead than full replication, but repairing lost or at-risk blocks needs heavy cross-node data transfer. This paper presents IAPRepair, which jointly plans repair batches, assigns reconstruction and replacement nodes by normalized transmission load, and selectively enables in-network aggregation for blocks that would overload healthy nodes. Implemented on a Tofino programmable switch with 16 storage nodes and evaluated on a prototype and large-scale simulations, it reduces repair time by at least 47.83% compared with the evaluated state-of-the-art methods.

Lei Liu, Yong Wang, Junqi Chen et al.

★★★★★ Notable
arXiv cs.GT

Optimal Multi-Item Auctions with I.I.D. Values

In briefRevenue-maximizing auctions for multiple items with identically distributed values

SummaryThis paper studies auctions that sell several items and aim to maximize revenue while keeping truthful bidding optimal and buyers no worse off. Buyers value items additively, and each item's value is drawn independently from the same finite distribution. For two-point distributions, the authors give an explicit deterministic optimal mechanism and a polynomial-time algorithm for the optimal revenue. For general distributions, computing the exact optimal revenue is shown to be #P-hard.

WhyGives explicit optimal mechanisms for two-point distributions and proves #P-hardness for general finite supports, with rigorous theory and a PTAS.

Boyu Liu, Zhengyang Liu, Zihe Wang

★★★★☆ Notable
arXiv cond-mat.stat-mech · cs.IT · math-ph

A general framework for crystallization in maximal hard-core models

In briefA general framework explaining crystal formation in maximal hard-core particle models

SummaryThe paper studies general maximal hard-core models on periodic lattice-type graphs. The authors introduce a unified set of assumptions, based on volume allocation, that imply the Peierls condition and a convergent cluster expansion, so that the conclusions of Pirogov-Sinai theory apply. They verify these assumptions on several examples and prove crystallization at both high and low activity, and also estimate activity values bounding phase coexistence regions.

WhyProposes unified volume-allocation assumptions yielding crystallization even at low activity, with rigorous proofs covering several periodic lattice examples.

Alexander Barg, Qidong He, Geyang Wang

★★★★☆ Notable
arXiv cs.GT

Asymptotically Optimal Public Project Redistribution without Bounded Precision: A Complex-Analytic Proof

In briefOptimal Public Project Payment Redistribution for Real-Valued Types via Complex Analysis

SummaryThe paper studies VCG payment redistribution for a public project, aiming to return as much payment as possible without a deficit. Earlier results reached efficiency near 1 only under a bounded-precision assumption on types. This work removes that assumption and builds a deterministic, anonymous, strategy-proof, non-deficit mechanism for real types in [0,1] with worst-case efficiency ratio 1-O(1/log log n). The proof relies on complex analysis.

WhyRemoves a bounded-precision assumption, reaching 1-O(1/log log n) with a novel complex-analytic proof; impact confined to mechanism design theory.

Mingyu Guo

arXiv cs.IT · math.IT

QoS-Aware Joint Concurrency and HARQ-Limit Design for HARQ-CC-Aided Slow Fluid Antenna Multiple Access

In briefQoS-aware joint design of user concurrency and HARQ limit for HARQ-CC-aided slow fluid antenna multiple access

SummaryThis paper studies downlink slow fluid antenna multiple access (sFAMA) that uses HARQ with Chase combining to improve reliability. It proposes a joint design of the number of concurrent users and the HARQ transmission limit, using a two-stage optimization that first maximizes feasible concurrency and then picks the smallest feasible limit meeting outage and mean-service constraints. Numerical results match Monte Carlo simulations, and the adaptive design supports six concurrent users, more than fixed-HARQ FAS (three to five) and HARQ-adaptive fixed-position antennas (two).

Sixu Han, Kai-Kit Wong, Hanjiang Hong et al.

★★★★★ Notable
arXiv math.CO · cs.IT · math.IT

A G-Invariant Erdős--Hanani Theorem with Applications to Optical Orthogonal and Constant-Weight Codes

In briefA G-invariant Erdős–Hanani theorem and its use for optical orthogonal and constant-weight codes

SummaryThe paper studies packings of t-subsets by k-subsets that are invariant under a permutation group G acting on v points. Under two conditions on G, it shows that as v grows there exist free G-invariant packings with asymptotically the optimal number of blocks, binom(v,t)/binom(k,t), giving a G-invariant version of the Erdős–Hanani theorem. The results are applied to optical orthogonal codes, their multidimensional and signature pattern versions, and cyclic and quasi-cyclic constant-weight codes, where the Johnson bound is asymptotically attained. The method also determines the asymptotic maximum size of two-dimensional optical orthogonal codes with at most one pulse per wavelength.

WhyExtends Erdős–Hanani to group-invariant packings with full proofs, determining asymptotic maximum sizes of optical orthogonal and constant-weight codes.

Yeow Meng Chee

arXiv cs.IT · math.IT

Modeling and Performance Evaluation of Distributed Satellite Antennas: Space Is Much Closer Than One Might Think

In briefDistributed Satellite Antenna Modeling: Space Is Closer Than You Think

SummaryThis paper studies distributed satellites that cooperate to form a large synthetic antenna aperture, providing broadband connectivity to commercial handsets. It combines spherical-wave and plane-wave models with Earth and orbital curvature to quantify how simplifying assumptions affect throughput and outage probability. Numerical results show that local plane-wave approximations within each satellite array closely match the spherical-wave reference, while a global plane-wave approximation can cause severe losses, including full outage.

Giacomo Bacci, Riccardo De Gaudenzi, Marco Luise et al.

arXiv eess.SP · cs.IT · math.IT

Low-complexity Equalization of Zak-OTFS Via Neumann Series

In briefLow-complexity equalization for Zak-OTFS using a Neumann series

SummaryThe paper proposes a general method for choosing an orthonormal carrier waveform basis aligned with a wireless channel's delay and Doppler characteristics, enabling low-complexity equalization. It illustrates the approach on satellite links and ground-to-UAV links, and reports robustness to fractional delays and Doppler shifts. When channel taps lie within the chosen subgroup, a single-tap equalizer suffices for reliable communication.

Vineetha Yogesh, Saif Khan Mohammed, Sandesh Rao Mattu et al.

arXiv math.ST · cs.IT · math.IT

On the Impossibility of Estimating the Average Mixing Time

In briefWhy estimating a chain's average mixing time can be impossible

SummaryThe paper estimates how many samples from one stationary trajectory are needed to learn a Markov chain's average mixing time. It proves nearly matching converse bounds showing when such estimation is impossible. These bounds match the key dependencies of existing achievability bounds up to logarithmic factors. Together they give nearly tight PAC guarantees for the estimation task.

Nathan A. Judd, Amedeo Roberto Esposito

★★★★☆ Notable
arXiv cs.GT

A Constant-Factor Approximation to Multidimensional Consumer Utility

In briefA constant-factor approximation to multidimensional consumer utility, meaning a simple, provably near-optimal way to maximize how much consumers gain.

SummaryThe paper studies mechanisms that maximize consumer utility when consumers pay with non-transferable ordeals, with multiple unit-demand buyers and heterogeneous items. The authors show simple mechanisms achieve a constant-factor approximation to optimal utility, with 5.67+ε for general independent values and 2e/(e-1) for i.i.d. values. The mechanisms are BIC, ex-post individually rational, and computable in polynomial time.

WhyResolves whether simple mechanisms achieve constant-factor utility approximation, improving prior logarithmic gaps via a general upper bound on optimal constrained utility.

Kira Goldner, Taylor Lundy, Thodoris Tsilivis

arXiv cs.DC

LOCAA: An Agentic System for Automated Lossy Compressor Tuning

In briefLOCAA: An Agent System That Automatically Tunes Lossy Compressors

SummaryLarge scientific simulations produce huge data volumes, so lossy compression is used to cut storage and data-movement costs, but users set it through error bounds whose effects are hard to predict, often requiring slow exhaustive search. The paper presents LOCAA, a large-language-model-based agent that searches in the loop with the compressor using tool execution, compressor-aware guidance, and persistent memory, supporting user-defined objectives and constraints. Evaluated across three scientific applications and five compressors, it needs fewer trials than binary search and FRaZ for fixed-ratio tuning, and cuts average trials from 61.5 to 17 under joint quality constraints.

Khondoker Mirazul Mumenin, Dong Dai, Sheng Di et al.

arXiv cs.IT · math.IT

Polarforming for MIMO Covert Communications

In briefPolarization-based beamforming for covert MIMO wireless transmission

SummaryThis paper studies covert MIMO communication using polarization-reconfigurable antennas, where the transmitter and receiver each perform polarforming. The authors jointly optimize the transmit covariance matrix and phase shifts to maximize the receiver's achievable rate under covertness and power constraints. They derive the detector's optimal threshold and minimum detection error probability for finite observation length and propose an alternating optimization algorithm. Numerical results show the rate gain of up to 53.8% over benchmark schemes.

Xin Xie, Jinpeng Xu, Yihang Huang et al.

arXiv econ.TH · cs.GT · math.CO

Risk-minimizing GUE-implementations of truthful reporting in a Dynamic Social Choice Problem

In briefRisk-minimizing GUE implementations of truthful reporting in dynamic social choice

SummaryThis paper studies the Guaranteed Utility Mechanism (GUM), originally designed to achieve efficiency in dynamic social choice problems. The authors show it has a previously unknown link to risk minimization. With an efficient decision policy fixed, they identify variance-minimizing, budget-balanced transfer rules among GUE implementations of truthful reporting.

Endre Cs\'oka, M\'at\'e Viczi\'an

arXiv cs.AR · cs.DC

SUSpMV: A High Frequency Sparse Matrix Vector Multiplier on HBM Enabled FPGA written in SUS

In briefSUSpMV: A High-Frequency Sparse Matrix-Vector Multiplier on HBM FPGAs, Written in SUS

SummarySUSpMV is a sparse matrix-vector multiplication accelerator written in the SUS hardware description language and run on an Alveo U280 FPGA. It uses all 32 HBM channels at 400 MHz to stream matrix data to 32 compute units, with input and output vectors kept in DDR memory. The paper reports a 79% geometric mean improvement over prior work on the same platform, reaching a peak of 144.9 GFLOPs.

Lennart Van Hirtum, David Volz, Andreas Koch et al.

★★★★☆ Notable
arXiv cs.IT · cs.DS · math.IT

Settling the Sample Complexity of Rényi Entropy Estimation

In briefExact sample complexity of Rényi entropy estimation for non-integer orders

SummaryThis paper studies how many samples are needed to estimate the Rényi entropy of a non-integer order α>0 for an unknown discrete distribution over an alphabet of size d, within additive error ε. The authors give a tight Θ bound, completing the complexity picture that previously covered only integer orders. The upper bound uses a refined polynomial approximation estimator to reduce bias for large probabilities, while the lower bound relies on a new hard instance built by a moment matching construction.

WhyTightly characterizes noninteger-order Rényi entropy estimation sample complexity with matching bounds and a new moment-matching construction.

Qisheng Wang

arXiv cs.DC

Efficient Heuristics and Machine Learning Approach for Fault Characterization in Distributed Self-Stabilizing Programs

In briefHeuristics and machine learning for analyzing faults in distributed self-stabilizing programs

SummaryThe paper studies consistency violating faults, where a process reads stale shared-memory data, in self-stabilizing distributed programs. It proposes a conflicting-edges-based state-space exploration method for (Δ+1)-Graph Coloring and a machine learning model for a Maximal Independent Set program. The goal is to characterize when and where such faults occur to support runtime measures that improve efficiency.

Amit Garu, Duong Nguyen

★★★★☆ Notable
arXiv cs.GT

Settling PROPm and PROPavg in Graphical Resource Allocation

In briefSettling PROPm and PROPavg in Graphical Resource Allocation: PROPm Always Exists, PROPavg May Not

SummaryThis paper studies proportional fairness in graphical resource allocation, where agents are vertices and indivisible items are edges that must go to one of their two endpoints. The authors prove that PROPm orientations always exist for goods on multigraphs and can be computed efficiently, extending to chores and mixtures. In contrast, PROPavg orientations may not exist even for simple graphs with binary valuations, and deciding their existence is NP-complete. The paper also shows the price of PROPm for goods is exactly 2 and gives hardness results for welfare optimization under PROPm.

WhyResolves open existence questions for PROPm and PROPavg, with efficient construction and NP-completeness proofs; theoretical results are rigorous.

Bo Li, Ankang Sun, Ruijie Wang

arXiv eess.SP · cs.IT · math.IT

Antenna Coding by Pixel Antennas: Unlocking A New Dimension for Wireless Communications

In briefAntenna coding with pixel antennas to add a new degree of freedom for wireless communications

SummaryConventional wireless antennas have fixed radiation patterns, and adding more antennas raises cost and size limits. This article reviews antenna coding using pixel antennas, which adjust radiation patterns by controlling variable lumped elements between adjacent pixels to gain new degrees of freedom in the beamspace domain. It introduces the concept and classification of antenna coding and highlights gains in channel gain and multiplexing gain. It also surveys optimization approaches for antenna coding design and outlines remaining challenges and opportunities.

Zixiang Han, Shanpu Shen, Yifei Yuan et al.

arXiv cs.GT

Sharper bounds on the thresholds for sensitive and Blackwell optimality

In briefTighter bounds on thresholds for sensitive and Blackwell optimality in stochastic games

SummaryThis paper studies Blackwell and sensitive optimality in perfect-information two-player stochastic games, which generalize mean-payoff and discount optimality to capture more farsighted preferences. It gives bounds on the Blackwell threshold and the d-sensitive thresholds, the smallest discount factors above which discount optimal policies match Blackwell or d-sensitive optimal policies. By focusing on reduced families of polynomials, the bounds improve prior work and are tight in controlling degrees and heights of minimal polynomials. Using root separation based on Mahler's and Cauchy's bounds, the authors derive the strongest known upper and lower bounds on the Blackwell threshold and are the first to bound d-sensitive thresholds in the multichain setting.

Xavier Allamigeon, St\'ephane Gaubert, Julien Grand-Cl\'ement et al.

★★★★☆ Notable
arXiv cs.IT · math.IT

MacKay-Neal Codes Achieve Capacity under MAP Decoding

In briefMacKay-Neal Codes Reach Channel Capacity Under MAP Decoding

SummaryThis paper proves a prediction from statistical-mechanics analyses that MacKay-Neal codes with fixed degrees can achieve channel capacity. For every binary-input memoryless symmetric channel with capacity above 3/ℓ, the average block error probability under MAP decoding is O(log N/N), and the actual rate converges to 3/ℓ. The proof relies on an entropy inequality for six even-parity bits.

WhyProves a statistical-mechanics prediction that MacKay-Neal codes achieve capacity under MAP decoding, with explicit error bounds; a notable theoretical result mainly relevant to coding theory.

Kenta Kasai

arXiv cs.GT

Asymptotic Subsidies for Envy-Free Allocation

In briefAsymptotic Subsidies for Envy-Free Allocation: how much money is needed so indivisible goods can be split with no one envious

SummaryThis paper studies the minimum monetary subsidy needed to allocate m_n indivisible goods among n agents so that the result is exactly envy-free. Valuations are additive, item values are i.i.d., and the analysis covers the asymptotic regime as n grows. The authors give a cubic-time algorithm that always returns an envy-free outcome and derive asymptotic bounds on the subsidy under a random model. For the square case q=1, they report that the minimum subsidy is of order Θ_p(log n).

Zekai Wu

arXiv cs.IT · math.IT

q-ary GRAND

In briefq-ary GRAND (Guessing Random Additive Noise Decoding) for error-correcting codes

SummaryThis paper develops a q-ary version of GRAND, a decoder for linear codes over alphabets with q symbols. It sorts symbol likelihoods and uses three local rules to generate symbol deviation patterns. The authors prove these rules form a monotone spanning tree, so best-first search achieves maximum-likelihood decoding when search is unlimited. Reed-Solomon simulations confirm agreement with ML decoding and show the performance-complexity tradeoff under finite search budgets.

Reza Dianat, Majid Nasiri Khormuji, Hiroyuki Seki

arXiv cs.IT · math.IT

Sequential Random Sampling PIR with Multiple Colluding Servers in DNA-Based Data Storage

In briefPrivate DNA data retrieval using random sampling across multiple colluding servers

SummaryThis paper studies sequential random sampling private information retrieval for DNA-based data storage, where the database is split across several equal-sized servers that may collude. It analyzes the tradeoff between download cost, measured as the expected number of queries, and privacy leakage, measured by mutual information. Lower bounds are derived, including one given by an optimization problem, and this bound is shown to be tight when each server stores two files. For servers of arbitrary size, schemes are constructed that apply a single-server scheme to a randomly chosen subset of servers.

Chen Wang, Natalia Silberstein, Eitan Yaakobi