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1. Experimental Design in Two-Sided Platforms: An Analysis of Bias

   https://doi.org/10.1287/mnsc.2021.4247  

   Johari, Ramesh; Li, Hannah; Liskovich, Inessa; Weintraub, Gabriel Y. (October 2022, Management Science)

   We develop an analytical framework to study experimental design in two-sided marketplaces. Many of these experiments exhibit interference, where an intervention applied to one market participant influences the behavior of another participant. This interference leads to biased estimates of the treatment effect of the intervention. We develop a stochastic market model and associated mean field limit to capture dynamics in such experiments and use our model to investigate how the performance of different designs and estimators is affected by marketplace interference effects. Platforms typically use two common experimental designs: demand-side “customer” randomization ([Formula: see text]) and supply-side “listing” randomization ([Formula: see text]), along with their associated estimators. We show that good experimental design depends on market balance; in highly demand-constrained markets, [Formula: see text] is unbiased, whereas [Formula: see text] is biased; conversely, in highly supply-constrained markets, [Formula: see text] is unbiased, whereas [Formula: see text] is biased. We also introduce and study a novel experimental design based on two-sided randomization ([Formula: see text]) where both customers and listings are randomized to treatment and control. We show that appropriate choices of [Formula: see text] designs can be unbiased in both extremes of market balance while yielding relatively low bias in intermediate regimes of market balance. This paper was accepted by David Simchi-Levi, revenue management and market analytics. 

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2. IDOL: Iterative Direction of Arrival in Low SNR

   https://doi.org/10.1142/S2251171725500047  

   Wei, Xue; Saha, Dola; Hellbourg, Gregory; Dutta, Aveek (August 2025, Journal of Astronomical Instrumentation)

   Direction of arrival (DoA) estimation plays a crucial role in various areas of signal processing. Although existing methods perform satisfactorily at moderately high signal-to-noise ratio (SNR) levels of the order of 0 dB, they often lack accuracy in low SNR scenarios ([Formula: see text]10 dB), which is critical in science applications like radio frequency interference (RFI) mitigation for radio astronomy. In this context, it is essential to estimate the DoA of a source of RFI at low SNR to prevent high-gain radio telescope receivers from saturating. In this paper, a novel DoA estimation method is proposed, which is designed specifically for low SNR scenarios. This method involves multiple subarrays and decomposition techniques to enhance the SNR of the RFI. By comparing the signal subspace with the noise subspace, we can identify the potential incident direction and perform refinement in subsequent steps. Accuracy is further improved by combining all DoA candidates together and utilizing a clustering method to remove outliers. We conducted simulations using Automatic Dependent Surveillance-Broadcast (ADS-B) signals and sine waves in Additive White Gaussian Noise (AWGN) and multipath fading channels for signals that will be detected by a 100[Formula: see text]m radio telescope. The results demonstrate that our proposed method outperforms prior algorithms in low SNR conditions. 

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3. High kinetic inductance NbTiN superconducting transmission line resonators in the very thin film limit

   https://doi.org/10.1063/5.0100961  

   Bretz-Sullivan, Terence M.; Lewis, Rupert M.; Lima-Sharma, Ana L.; Lidsky, David; Smyth, Christopher M.; Harris, C. Thomas; Venuti, Michael; Eley, Serena; Lu, Tzu-Ming (August 2022, Applied Physics Letters)

   We examine the DC and radio frequency (RF) response of superconducting transmission line resonators comprised of very thin NbTiN films, [Formula: see text] in thickness, in the high-temperature limit, where the photon energy is less than the thermal energy. The resonant frequencies of these superconducting resonators show a significant nonlinear response as a function of RF input power, which can approach a frequency shift of [Formula: see text] in a [Formula: see text] span in the thinnest film. The strong nonlinear response allows these very thin film resonators to serve as high kinetic inductance parametric amplifiers. 

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4. Greedy Channel Selection for Dynamic Spectrum Access Radios

   https://doi.org/10.1109/ISCAS45731.2020.9180882  

   Lackpour, Alex; Rey, Xaime Rivas; Mainland, Geoffrey; Dandekar, Kapil R. (October 2020, 2020 IEEE International Symposium on Circuits and Systems)

   Dynamic Spectrum Access (DSA) radios typically select their radio channels according to their data networking goals, a defined DSA spectrum operating policy, and the state of the RF spectrum. RF spectrum sensing can be used to collect information about the state of the RF spectrum and prioritize which channels should be assigned for DSA radio waveform transmission and reception. This paper describes a Greedy Channel Ranking Algorithm (GCRA) used to calculate and rank RF interference metrics for observed DSA radio channels. The channel rankings can then be used to select and/or avoid channels in order to attain a desired DSA radio performance level. Experimental measurements are collected using our custom software-defined radio (SDR) system to quantify the performance of using GCRA for a DSA radio application. Analysis of these results show that both pre and post-detection average interference power metrics are the most accurate metrics for selecting groups of radio channels to solve constrained channel assignment problems in occupied gray space spectrum. 

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5. Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction

   https://doi.org/10.1142/S0129055X22500313  

   Spiegel, Daniel; Moreno, Juan; Qi, Marvin; Hermele, Michael; Beaudry, Agnès; Pflaum, Markus J. (October 2022, Reviews in Mathematical Physics)

   We consider how the outputs of the Kadison transitivity theorem and Gelfand–Naimark–Segal (GNS) construction may be obtained in families when the initial data are varied. More precisely, for the Kadison transitivity theorem, we prove that for any nonzero irreducible representation [Formula: see text] of a [Formula: see text]-algebra [Formula: see text] and [Formula: see text], there exists a continuous function [Formula: see text] such that [Formula: see text] for all [Formula: see text], where [Formula: see text] is the set of pairs of [Formula: see text]-tuples [Formula: see text] such that the components of [Formula: see text] are linearly independent. Versions of this result where [Formula: see text] maps into the self-adjoint or unitary elements of [Formula: see text] are also presented. Regarding the GNS construction, we prove that given a topological [Formula: see text]-algebra fiber bundle [Formula: see text], one may construct a topological fiber bundle [Formula: see text] whose fiber over [Formula: see text] is the space of pure states of [Formula: see text] (with the norm topology), as well as bundles [Formula: see text] and [Formula: see text] whose fibers [Formula: see text] and [Formula: see text] over [Formula: see text] are the GNS Hilbert space and closed left ideal, respectively, corresponding to [Formula: see text]. When [Formula: see text] is a smooth fiber bundle, we show that [Formula: see text] and [Formula: see text] are also smooth fiber bundles; this involves proving that the group of ∗-automorphisms of a [Formula: see text]-algebra is a Banach Lie group. In service of these results, we review the topology and geometry of the pure state space. A simple non-interacting quantum spin system is provided as an example illustrating the physical meaning of some of these results. 

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