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2022-11-03

Along Similar Lines: Local Obstacle Avoidance for Long-term Autonomous Path Following

Our architecture simplifies the obstacle-perception problem to that of place-dependent change detection. While we use the method with VT&R, it can be generalized to suit arbitrary path-following applications. Visual Teach and Repeat 3 (VT&R3), a generalization of stereo VT&R, achieves long-term autonomous path-following using topometric mapping and localization from a single rich sensor stream. In this paper, we improve the capabilities of a LiDAR implementation of VT&R3 to reliably detect and avoid obstacles in changing environments. Our architecture simplifies the obstacle-perception problem to that of place-dependent change detection. We then extend the behaviour of generic sample-based motion planners to better suit the teach-and-repeat problem structure by introducing a new edge-cost metric paired with a curvilinear planning space. The resulting planner generates naturally smooth paths that avoid local obstacles while minimizing lateral path deviation to best exploit prior terrain knowledge. While we use the method with VT&R, it can be generalized to suit arbitrary path-following applications. Experimental results from online run-time analysis, unit testing, and qualitative experiments on a differential drive robot show the promise of the technique for reliable long-term autonomous operation in complex unstructured environments.

Authors: Jordy Sehn, Yuchen Wu, Timothy D. Barfoot.

2022-11-03

Seamless Phase 2-3 Design: A Useful Strategy to Reduce the Sample Size for Dose Optimization

The statistical and design considerations that pertain to dose optimization are discussed. The sample size savings range from 16.6% to 27.3%, depending on the design and scenario, with a mean savings of 22.1%. The traditional more-is-better dose selection paradigm, developed based on cytotoxic chemotherapeutics, is often problematic When applied to the development of novel molecularly targeted agents (e.g., kinase inhibitors, monoclonal antibodies, and antibody-drug conjugates). The US Food and Drug Administration (FDA) initiated Project Optimus to reform the dose optimization and dose selection paradigm in oncology drug development and call for more attention to benefit-risk consideration. We systematically investigated the operating characteristics of the seamless phase 2-3 design as a strategy for dose optimization, where in stage 1 (corresponding to phase 2) patients are randomized to multiple doses, with or without a control; and in stage 2 (corresponding to phase 3) the efficacy of the selected optimal dose is evaluated with a randomized concurrent control or historical control. Depending on whether the concurrent control is included and the type of endpoints used in stages 1 and 2, we describe four types of seamless phase 2-3 dose-optimization designs, which are suitable for different clinical settings. The statistical and design considerations that pertain to dose optimization are discussed. Simulation shows that dose optimization phase 2-3 designs are able to control the familywise type I error rates and yield appropriate statistical power with substantially smaller sample size than the conventional approach. The sample size savings range from 16.6% to 27.3%, depending on the design and scenario, with a mean savings of 22.1%. Due to the interim dose selection, the phase 2-3 dose-optimization design is logistically and operationally more challenging, and should be carefully planned and implemented to ensure trial integrity.

Authors: Liyun Jiang, Ying Yuan.

2022-11-03

Fast and robust Bayesian Inference using Gaussian Processes with GPry

We significantly improve performance using properties of the posterior in our active learning scheme and for the definition of the GP prior. In particular we account for the expected dynamical range of the posterior in different dimensionalities. We test our model against a number of synthetic and cosmological examples. We present the GPry algorithm for fast Bayesian inference of general (non-Gaussian) posteriors with a moderate number of parameters. GPry does not need any pre-training, special hardware such as GPUs, and is intended as a drop-in replacement for traditional Monte Carlo methods for Bayesian inference. Our algorithm is based on generating a Gaussian Process surrogate model of the log-posterior, aided by a Support Vector Machine classifier that excludes extreme or non-finite values. An active learning scheme allows us to reduce the number of required posterior evaluations by two orders of magnitude compared to traditional Monte Carlo inference. Our algorithm allows for parallel evaluations of the posterior at optimal locations, further reducing wall-clock times. We significantly improve performance using properties of the posterior in our active learning scheme and for the definition of the GP prior. In particular we account for the expected dynamical range of the posterior in different dimensionalities. We test our model against a number of synthetic and cosmological examples. GPry outperforms traditional Monte Carlo methods when the evaluation time of the likelihood (or the calculation of theoretical observables) is of the order of seconds; for evaluation times of over a minute it can perform inference in days that would take months using traditional methods. GPry is distributed as an open source Python package (pip install gpry) and can also be found at https://github.com/jonaselgammal/GPry.

Authors: Jonas El Gammal, Nils Schöneberg, Jesús Torrado, Christian Fidler.

2022-11-03

Competitive Kill-and-Restart Strategies for Non-Clairvoyant Scheduling

We consider the fundamental scheduling problem of minimizing the sum of weighted completion times on a single machine in the non-clairvoyant setting. However, to the best of our knowledge, this concept has never been considered for the total completion time objective in the non-clairvoyant model. This implies a performance guarantee of $(1+3\sqrt{3})\approx 6.197$ for the deterministic algorithm and of $\approx 3.032$ for the randomized version. We consider the fundamental scheduling problem of minimizing the sum of weighted completion times on a single machine in the non-clairvoyant setting. While no non-preemptive algorithm is constant competitive, Motwani, Phillips, and Torng (SODA '93) proved that the simple preemptive round robin procedure is $2$-competitive and that no better competitive ratio is possible, initiating a long line of research focused on preemptive algorithms for generalized variants of the problem. As an alternative model, Shmoys, Wein, and Williamson (FOCS '91) introduced kill-and-restart schedules, where running jobs may be killed and restarted from scratch later, and analyzed then for the makespan objective. However, to the best of our knowledge, this concept has never been considered for the total completion time objective in the non-clairvoyant model. We contribute to both models: First we give for any $b > 1$ a tight analysis for the natural $b$-scaling kill-and-restart strategy for scheduling jobs without release dates, as well as for a randomized variant of it. This implies a performance guarantee of $(1+3\sqrt{3})\approx 6.197$ for the deterministic algorithm and of $\approx 3.032$ for the randomized version. Second, we show that the preemptive Weighted Shortest Elapsed Time First (WSETF) rule is $2$-competitive for jobs released in an online fashion over time, matching the lower bound by Motwani et al. Using this result as well as the competitiveness of round robin for multiple machines, we prove performance guarantees of adaptions of the $b$-scaling algorithm to online release dates and unweighted jobs on identical parallel machines.

Authors: Sven Jäger, Guillaume Sagnol, Daniel Schmidt genannt Waldschmidt, Philipp Warode.

2022-11-03

Could Giant Pretrained Image Models Extract Universal Representations?

Frozen pretrained models have become a viable alternative to the pretraining-then-finetuning paradigm for transfer learning. With this work, we hope to bring greater attention to this promising path of freezing pretrained image models. Frozen pretrained models have become a viable alternative to the pretraining-then-finetuning paradigm for transfer learning. However, with frozen models there are relatively few parameters available for adapting to downstream tasks, which is problematic in computer vision where tasks vary significantly in input/output format and the type of information that is of value. In this paper, we present a study of frozen pretrained models when applied to diverse and representative computer vision tasks, including object detection, semantic segmentation and video action recognition. From this empirical analysis, our work answers the questions of what pretraining task fits best with this frozen setting, how to make the frozen setting more flexible to various downstream tasks, and the effect of larger model sizes. We additionally examine the upper bound of performance using a giant frozen pretrained model with 3 billion parameters (SwinV2-G) and find that it reaches competitive performance on a varied set of major benchmarks with only one shared frozen base network: 60.0 box mAP and 52.2 mask mAP on COCO object detection test-dev, 57.6 val mIoU on ADE20K semantic segmentation, and 81.7 top-1 accuracy on Kinetics-400 action recognition. With this work, we hope to bring greater attention to this promising path of freezing pretrained image models.

Authors: Yutong Lin, Ze Liu, Zheng Zhang, Han Hu, Nanning Zheng, Stephen Lin, Yue Cao.

2022-11-03

Nearly tight universal bounds for the binomial tail probabilities

These bounds are easy to compute and are tight within a constant factor of $89/44$. Moreover, they are asymptotically tight in the regimes of large deviation and moderate deviation. Our bounds significantly outperform the familiar Chernoff bound and reverse Chernoff bounds known in the literature and may find applications in various research areas. We derive simple but nearly tight upper and lower bounds for the binomial lower tail probability (with straightforward generalization to the upper tail probability) that apply to the whole parameter regime. These bounds are easy to compute and are tight within a constant factor of $89/44$. Moreover, they are asymptotically tight in the regimes of large deviation and moderate deviation. By virtue of a surprising connection with Ramanujan's equation, we also provide strong evidences suggesting that the lower bound is tight within a factor of $1.26434$. It may even be regarded as the natural lower bound, given its simplicity and appealing properties. Our bounds significantly outperform the familiar Chernoff bound and reverse Chernoff bounds known in the literature and may find applications in various research areas.

Authors: Huangjun Zhu, Zihao Li, Masahito Hayashi.

2022-11-03

Improving social welfare in non-cooperative games with different types of quantum resources

For a given game $G$, these two settings give rise to different equilibria characterised by the sets of equilibrium correlations $Q_\textrm{corr}(G)$ and $Q(G)$, respectively. This provides a new angle towards understanding the limits and advantages of delegating quantum measurements.

We investigate what quantum advantages can be obtained in multipartite non-cooperative games by studying how different types of quantum resources can improve social welfare, a measure of the quality of a Nash equilibrium. We study how these advantages in quantum social welfare depend on the bias of the game, and improve upon the separation that was previously obtained using pseudo-telepathic strategies. Two different quantum settings are analysed: a first, in which players are given direct access to an entangled quantum state, and a second, which we introduce here, in which they are only given classical advice obtained from quantum devices. For a given game $G$, these two settings give rise to different equilibria characterised by the sets of equilibrium correlations $Q_\textrm{corr}(G)$ and $Q(G)$, respectively. We show that $Q(G)\subseteq Q_\textrm{corr}(G)$ and, by considering explicit example games and exploiting SDP optimisation methods, provide indications of a strict separation between the social welfare attainable in the two settings. This provides a new angle towards understanding the limits and advantages of delegating quantum measurements.

Authors: Alastair A. Abbott, Mehdi Mhalla, Pierre Pocreau.

2022-11-03

Principal Balances of Compositional Data for Regression and Classification using Partial Least Squares

High-dimensional compositional data are commonplace in the modern omics sciences amongst others. We demonstrate the performance of the method using both simulated and real data sets. High-dimensional compositional data are commonplace in the modern omics sciences amongst others. Analysis of compositional data requires a proper choice of orthonormal coordinate representation as their relative nature is not compatible with the direct use of standard statistical methods. Principal balances, a specific class of log-ratio coordinates, are well suited to this context since they are constructed in such a way that the first few coordinates capture most of the variability in the original data. Focusing on regression and classification problems in high dimensions, we propose a novel Partial Least Squares (PLS) based procedure to construct principal balances that maximize explained variability of the response variable and notably facilitates interpretability when compared to the ordinary PLS formulation. The proposed PLS principal balance approach can be understood as a generalized version of common logcontrast models, since multiple orthonormal (instead of one) logcontrasts are estimated simultaneously. We demonstrate the performance of the method using both simulated and real data sets.

Authors: V. Nesrstová, I. Wilms, J. Palarea-Albaladejo, P. Filzmoser, J. A. Martín-Fernández, D. Friedecký, K. Hron.

2022-11-03

Generalized topological bulk-edge correspondence in continuous systems with non-Hermitian boundary conditions

The bulk-edge correspondence (BEC) is the hallmark of topological systems. How would it be further affected in non-Hermitian systems, experiencing loss and/or gain? This entails a nontrivial modification to the relative Levinson's theorem.

The bulk-edge correspondence (BEC) is the hallmark of topological systems. In continuous (non-lattice) Hermitian systems with unbounded wavevector it was recently shown that the BEC is modified. How would it be further affected in non-Hermitian systems, experiencing loss and/or gain? In this work we take the first step in this direction, by studying a Hermitian continuous system with non-Hermitian boundary conditions. We find in this case that edge modes emerge at roots of the scattering matrix, as opposed to the Hermitian case, where they emerge at poles (or, more accurately, coalescence of roots and poles). This entails a nontrivial modification to the relative Levinson's theorem. We then show that the topological structure remains the same as in the Hermitian case, and the generalized BEC holds, provided one employs appropriate modified contours in the wavevector plane, so that the scattering matrix phase winding counts the edge modes correctly. We exemplify all this using a paradigmatic model of waves in a shallow ocean or active systems in the presence of odd viscosity, as well as 2D electron gas with Hall viscosity. We use this opportunity to examine the case of large odd viscosity, where the scattering matrix becomes $2\times2$, which has not been discussed in previous works on the Hermitian generalized BEC.

Authors: Orr Rapoport, Moshe Goldstein.

2022-11-03

Indefinite causal order for quantum metrology with quantum thermal noise

Specific capabilities are reported in the switched channel with indefinite order, not accessible with conventional estimation approaches with definite order. Phase estimation can be performed by measuring the control qubit alone, although it does not actively interact with the unitary process -- only the probe qubit doing so. Also, phase estimation becomes possible with a fully depolarized input probe or with an input probe aligned with the rotation axis of the unitary, while this is never possible with conventional approaches. A switched quantum channel with indefinite causal order is studied for the fundamental metrological task of phase estimation on a qubit unitary operator affected by quantum thermal noise. Specific capabilities are reported in the switched channel with indefinite order, not accessible with conventional estimation approaches with definite order. Phase estimation can be performed by measuring the control qubit alone, although it does not actively interact with the unitary process -- only the probe qubit doing so. Also, phase estimation becomes possible with a fully depolarized input probe or with an input probe aligned with the rotation axis of the unitary, while this is never possible with conventional approaches. The present study extends to thermal noise, investigations previously carried out with the more symmetric and isotropic qubit depolarizing noise, and it contributes to the timely exploration of properties of quantum channels with indefinite causal order relevant to quantum signal and information processing.

Authors: Francois Chapeau-Blondeau.

2022-11-03

Exact physical quantities of a competing spin chain in the thermodynamic limit

We obtain the density of zero roots, surface energies and elementary excitations in different regimes of model parameters.

We study the exact physical quantities of a competing spin chain which contains many interesting and meaningful couplings including the nearest neighbor, next nearest neighbor, chiral three spins, Dzyloshinsky-Moriya interactions and unparallel boundary magnetic fields in the thermodynamic limit. We obtain the density of zero roots, surface energies and elementary excitations in different regimes of model parameters. Due to the competition of various interactions, the surface energy and excited spectrum show many different pictures from those of the Heisenberg spin chain.

Authors: Pengcheng Lu, Yi Qiao, Junpeng Cao, Wen-Li Yang.

2022-11-03

First Lunar Occultation Results with the TIRCAM2 Near-Infrared Imager at the Devasthal 3.6-m Telescope

This mode is now operational and publicly offered. We conclude with a brief outlook on further possible instrumental developments and an estimate of the scientific return. These numbers are only an indication and will depend strongly on observing conditions such as lunar phase and rate of lunar limb motion. TIRCAM2 is the facility near-infrared Imager at the Devasthal 3.6-m telescope in northern India, equipped with an Aladdin III InSb array detector. We have pioneered the use of TIRCAM2 for very fast photometry, with the aim of recording Lunar Occultations (LO). This mode is now operational and publicly offered. In this paper we describe the relevant instrumental details, we provide references to the LO method and the underlying data analysis procedures, and we list the LO events recorded so far. Among the results, we highlight a few which have led to the measurement of one small-separation binary star and of two stellar angular diameters. We conclude with a brief outlook on further possible instrumental developments and an estimate of the scientific return. In particular, we find that the LO technique can detect sources down to K~ 9 mag with SNR=1 on the DOT telescope. Angular diameters larger than ~ 1 milliarcsecond (mas) could be measured with SNR above 10, or K~6 mag. These numbers are only an indication and will depend strongly on observing conditions such as lunar phase and rate of lunar limb motion. Based on statistics alone, there are several thousands LO events observable in principle with the given telescope and instrument every year.

Authors: Saurabh Sharma, Andrea Richichi, Devendra K. Ojha, Brajesh Kumar, Milind Naik, Jeewan Rawat, Darshan S. Bora, Kuldeep Belwal, Prakash Dhami, Mohit Bisht.

2022-11-03

Matrix Multiplicative Weights Updates in Quantum Zero-Sum Games: Conservation Laws & Recurrence

Our analysis generalizes previous results in the case of classical games.

Recent advances in quantum computing and in particular, the introduction of quantum GANs, have led to increased interest in quantum zero-sum game theory, extending the scope of learning algorithms for classical games into the quantum realm. In this paper, we focus on learning in quantum zero-sum games under Matrix Multiplicative Weights Update (a generalization of the multiplicative weights update method) and its continuous analogue, Quantum Replicator Dynamics. When each player selects their state according to quantum replicator dynamics, we show that the system exhibits conservation laws in a quantum-information theoretic sense. Moreover, we show that the system exhibits Poincare recurrence, meaning that almost all orbits return arbitrarily close to their initial conditions infinitely often. Our analysis generalizes previous results in the case of classical games.

Authors: Rahul Jain, Georgios Piliouras, Ryann Sim.

2022-11-03

Electrically controlling vortices in a neutral exciton polariton condensate at room temperature

Manipulating bosonic condensates with electric fields is very challenging as the electric fields do not directly interact with the neutral particles of the condensate. For isotropic non-resonant optical pumping we demonstrate the spontaneous formation of vortices with topological charges of -2, -1, +1, and +2. The topological vortex charge is controlled by a voltage in the range of 1 to 10 V applied to the microcavity sample. Manipulating bosonic condensates with electric fields is very challenging as the electric fields do not directly interact with the neutral particles of the condensate. Here we demonstrate a simple electric method to tune the vorticity of exciton polariton condensates in a strong coupling liquid crystal (LC) microcavity with CsPbBr$_3$ microplates as active material at room temperature. In such a microcavity, the LC molecular director can be electrically modulated giving control over the polariton condensation in different modes. For isotropic non-resonant optical pumping we demonstrate the spontaneous formation of vortices with topological charges of -2, -1, +1, and +2. The topological vortex charge is controlled by a voltage in the range of 1 to 10 V applied to the microcavity sample. This control is achieved by the interplay of a built-in potential gradient, the anisotropy of the optically active perovskite microplates, and the electrically controllable LC molecular director in our system with intentionally broken rotational symmetry. Besides the fundamental interest in the achieved electric polariton vortex control at room temperature, our work paves the way to micron-sized emitters with electric control over the emitted light's phase profile and quantized orbital angular momentum for information processing and integration into photonic circuits.

Authors: Xiaokun Zhai, Xuekai Ma, Ying Gao, Chunzi Xing, Meini Gao, Haitao Dai, Xiao Wang, Anlian Pan, Stefan Schumacher, Tingge Gao.

2022-11-03

Out-of-Things Debugging: A Live Debugging Approach for Internet of Things

Although ubiquitous, developing IoT systems remains challenging. Inquiry: A recent field study with 194 IoT developers identifies debugging as one of the main challenges faced when developing IoT systems. Furthermore, the analysis process is also time-consuming and might miss contextual information relevant to find the root cause of bugs. Approach: This paper proposes out-of-things debugging, an online debugging approach especially designed for IoT systems. The debugger is always-on as it ensures constant availability to for instance debug post-deployment situations. Upon a failure or breakpoint, out-of-things debugging moves the state of a deployed application to the developer's machine. Once debugging is finished, developers can commit bug fixes to the device through live update capabilities. Furthermore, device resources are only accessed when requested by the user which further mitigates overhead and opens avenues for mocking or simulation of non-accessed resources. Grounding: We implemented an out-of-things debugger as an extension to a WebAssembly Virtual Machine and benchmarked its suitability for IoT. From the benchmarks, we conclude that our debugger exhibits competitive performance in addition to confining overhead without sacrificing debugging convenience and flexibility.

Context: Internet of Things (IoT) has become an important kind of distributed systems thanks to the wide-spread of cheap embedded devices equipped with different networking technologies. Although ubiquitous, developing IoT systems remains challenging. Inquiry: A recent field study with 194 IoT developers identifies debugging as one of the main challenges faced when developing IoT systems. This comes from the lack of debugging tools taking into account the unique properties of IoT systems such as non-deterministic data, and hardware restricted devices. On the one hand, offline debuggers allow developers to analyse post-failure recorded program information, but impose too much overhead on the devices while generating such information. Furthermore, the analysis process is also time-consuming and might miss contextual information relevant to find the root cause of bugs. On the other hand, online debuggers do allow debugging a program upon a failure while providing contextual information (e.g., stack trace). In particular, remote online debuggers enable debugging of devices without physical access to them. However, they experience debugging interference due to network delays which complicates bug reproducibility, and have limited support for dynamic software updates on remote devices. Approach: This paper proposes out-of-things debugging, an online debugging approach especially designed for IoT systems. The debugger is always-on as it ensures constant availability to for instance debug post-deployment situations. Upon a failure or breakpoint, out-of-things debugging moves the state of a deployed application to the developer's machine. Developers can then debug the application locally by applying operations (e.g., step commands) to the retrieved state. Once debugging is finished, developers can commit bug fixes to the device through live update capabilities. Finally, by means of a fine-grained flexible interface for accessing remote resources, developers have full control over the debugging overhead imposed on the device, and the access to device hardware resources (e.g., sensors) needed during local debugging. Knowledge: Out-of-things debugging maintains good properties of remote debugging as it does not require physical access to the device to debug it, while reducing debugging interference since there are no network delays on operations (e.g., stepping) issued on the debugger since those happen locally. Furthermore, device resources are only accessed when requested by the user which further mitigates overhead and opens avenues for mocking or simulation of non-accessed resources. Grounding: We implemented an out-of-things debugger as an extension to a WebAssembly Virtual Machine and benchmarked its suitability for IoT. In particular, we compared our solution to remote debugging alternatives based on metrics such as network overhead, memory usage, scalability, and usability in production settings. From the benchmarks, we conclude that our debugger exhibits competitive performance in addition to confining overhead without sacrificing debugging convenience and flexibility. Importance: Out-of-things debugging enables debugging of IoT systems by means of classical online operations (e.g., stepwise execution) while addressing IoT-specific concerns (e.g., hardware limitations). We show that having the debugger always-on does not have to come at cost of performance loss or increased overhead but instead can enforce a smooth-going and flexible debugging experience of IoT systems.

Authors: Carlos Rojas Castillo, Matteo Marra, Jim Bauwens, Elisa Gonzalez Boix.