3,505 results on '"Clark, Stephen"'
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2. Extracting Dynamical Maps of Non-Markovian Open Quantum Systems
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Strachan, David J., Purkayastha, Archak, and Clark, Stephen R.
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Quantum Physics - Abstract
The most general description of quantum evolution up to a time $\tau$ is a completely positive tracing preserving map known as a dynamical map $\hat{\Lambda}(\tau)$. Here we consider $\hat{\Lambda}(\tau)$ arising from suddenly coupling a system to one or more thermal baths with a strength that is neither weak nor strong. Given no clear separation of characteristic system/bath time scales $\hat{\Lambda}(\tau)$ is generically expected to be non-Markovian, however we do assume the ensuing dynamics has a unique steady state implying the baths possess a finite memory time $\tau_{\rm m}$. By combining several techniques within a tensor network framework we directly and accurately extract $\hat{\Lambda}(\tau)$ for a small number of interacting fermionic modes coupled to infinite non-interacting Fermi baths. We employ the Choi-Jamiolkowski isomorphism so that $\hat{\Lambda}(\tau)$ can be fully reconstructed from a single pure state calculation of the unitary dynamics of the system, bath and their replica auxillary modes up to time $\tau$. From $\hat{\Lambda}(\tau)$ we also compute the time local propagator $\hat{\mathcal{L}}(\tau)$. By examining the convergence with $\tau$ of the instantaneous fixed points of these objects we establish their respective memory times $\tau^{\Lambda}_{\rm m}$ and $\tau^{\mathcal{L}}_{\rm m}$. Beyond these times, the propagator $\hat{\mathcal{L}}(\tau)$ and dynamical map $\hat{\Lambda}(\tau)$ accurately describe all the subsequent long-time relaxation dynamics up to stationarity. Our numerical examples of interacting spinless Fermi chains and the single impurity Anderson model demonstrate regimes where our approach can offer a significant speedup in determining the stationary state compared to directly simulating the long-time limit., Comment: v2, 12 pages, 10 figures
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- 2024
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3. Dephasing-assisted transport in a tight-binding chain with a linear potential
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Jacob, Samuel L., Bettmann, Laetitia P., Lacerda, Artur M., Zawadzki, Krissia, Clark, Stephen R., Goold, John, and Mendoza-Arenas, Juan José
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Condensed Matter - Statistical Mechanics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Quantum Physics - Abstract
An environment interacting with a quantum system can enhance transport through the suppression of quantum effects responsible for localization. In this paper, we study the interplay between bulk dephasing and a linear potential in a boundary-driven tight-binding chain. A linear potential induces Wannier-Stark localization in the absence of noise, while dephasing induces diffusive transport in the absence of a tilt. We derive an approximate expression for the steady-state current as a function of both dephasing and tilt which closely matches the exact solution for a wide range of parameters. From it, we find that the maximum current occurs for a dephasing rate equal to the period of Bloch oscillations in the Wannier-Stark localized system. We also find that the current displays a maximum as a function of the system size, provided that the total potential tilt across the chain remains constant. Our results can be verified in current experimental platforms and represents a step forward in analytical studies of environment-assisted transport., Comment: 20 pages, 7 figures
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- 2024
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4. Towards Compositional Interpretability for XAI
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Tull, Sean, Lorenz, Robin, Clark, Stephen, Khan, Ilyas, and Coecke, Bob
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Computer Science - Artificial Intelligence ,Computer Science - Machine Learning ,Computer Science - Logic in Computer Science ,Mathematics - Category Theory - Abstract
Artificial intelligence (AI) is currently based largely on black-box machine learning models which lack interpretability. The field of eXplainable AI (XAI) strives to address this major concern, being critical in high-stakes areas such as the finance, legal and health sectors. We present an approach to defining AI models and their interpretability based on category theory. For this we employ the notion of a compositional model, which sees a model in terms of formal string diagrams which capture its abstract structure together with its concrete implementation. This comprehensive view incorporates deterministic, probabilistic and quantum models. We compare a wide range of AI models as compositional models, including linear and rule-based models, (recurrent) neural networks, transformers, VAEs, and causal and DisCoCirc models. Next we give a definition of interpretation of a model in terms of its compositional structure, demonstrating how to analyse the interpretability of a model, and using this to clarify common themes in XAI. We find that what makes the standard 'intrinsically interpretable' models so transparent is brought out most clearly diagrammatically. This leads us to the more general notion of compositionally-interpretable (CI) models, which additionally include, for instance, causal, conceptual space, and DisCoCirc models. We next demonstrate the explainability benefits of CI models. Firstly, their compositional structure may allow the computation of other quantities of interest, and may facilitate inference from the model to the modelled phenomenon by matching its structure. Secondly, they allow for diagrammatic explanations for their behaviour, based on influence constraints, diagram surgery and rewrite explanations. Finally, we discuss many future directions for the approach, raising the question of how to learn such meaningfully structured models in practice.
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- 2024
5. Quixer: A Quantum Transformer Model
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Khatri, Nikhil, Matos, Gabriel, Coopmans, Luuk, and Clark, Stephen
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Quantum Physics - Abstract
Progress in the realisation of reliable large-scale quantum computers has motivated research into the design of quantum machine learning models. We present Quixer: a novel quantum transformer model which utilises the Linear Combination of Unitaries and Quantum Singular Value Transform primitives as building blocks. Quixer operates by preparing a superposition of tokens and applying a trainable non-linear transformation to this mix. We present the first results for a quantum transformer model applied to a practical language modelling task, obtaining results competitive with an equivalent classical baseline. In addition, we include resource estimates for evaluating the model on quantum hardware, and provide an open-source implementation for classical simulation. We conclude by highlighting the generality of Quixer, showing that its parameterised components can be substituted with fixed structures to yield new classes of quantum transformers., Comment: 17 pages, 8 figures
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- 2024
6. Schwinger-Keldysh nonequilibrium quantum field theory of open quantum systems beyond the Markovian regime: Application to the spin-boson model
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Reyes-Osorio, Felipe, Garcia-Gaitan, Federico, Strachan, David J., Plechac, Petr, Clark, Stephen R., and Nikolic, Branislav K.
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Quantum Physics ,Condensed Matter - Strongly Correlated Electrons ,High Energy Physics - Theory ,Mathematical Physics - Abstract
We develop a Schwinger-Keldysh field theory (SKFT) for open quantum systems interacting with a dissipative environment and apply it to the spin-boson model as an archetypical example where the environment is composed of a bosonic bath. Prior SKFT developments of this type have been confined to the Markovian regime, as an alternative to a conventional description by the Lindblad quantum master equation (QME) which is a time-local matrix differential equation. Here we combine SKFT with a two-particle irreducible (2PI) action that resums a class of Feynman diagrams to infinite order. We obtain the time-evolution of the spin density matrix in the form of a system of integro-differential equations applicable to both Markovian and non-Markovian regimes. The latter regime--where taking into account memory effects becomes essential--poses a challenge for standard methods when trying to incorporate arbitrary properties of the system, bath, and length of time evolution. The SKFT+2PI-computed time evolution of the spin expectation values in the Markovian regime reproduces the solution of the Lindblad QME, as long as the system-bath coupling in the latter is adjusted by increasing it. In the non-Markovian regime, SKFT+2PI yields a nonperturbative solution that mimics results from both hierarchical equations of motion and tensor networks methods that we employ as benchmarks. Our SKFT+2PI approach can also access challenging cases, such as zero-temperature and sub-Ohmic bath, as well as arbitrary long evolution times. Taking into account favorable numerical cost of solving the integro-differential equations with increasing number of spins, time steps or dimensionality the SKFT+2PI approach offers a promising route for simulation of driven-dissipative systems in quantum computing or quantum magnonics and spintronics in the presence of a variety of (single or multiple) dissipative environments., Comment: 14 pages, 7 figures
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- 2024
7. Understanding Barriers to Novel Data Linkages: Topic Modeling of the Results of the LifeInfo Survey
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Clarke, Holly, Clark, Stephen, Birkin, Mark, Iles-Smith, Heather, Glaser, Adam, and Morris, Michelle A
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Computer applications to medicine. Medical informatics ,R858-859.7 ,Public aspects of medicine ,RA1-1270 - Abstract
BackgroundNovel consumer and lifestyle data, such as those collected by supermarket loyalty cards or mobile phone exercise tracking apps, offer numerous benefits for researchers seeking to understand diet- and exercise-related risk factors for diseases. However, limited research has addressed public attitudes toward linking these data with individual health records for research purposes. Data linkage, combining data from multiple sources, provides the opportunity to enhance preexisting data sets to gain new insights. ObjectiveThe aim of this study is to identify key barriers to data linkage and recommend safeguards and procedures that would encourage individuals to share such data for potential future research. MethodsThe LifeInfo Survey consulted the public on their attitudes toward sharing consumer and lifestyle data for research purposes. Where barriers to data sharing existed, participants provided unstructured survey responses detailing what would make them more likely to share data for linkage with their health records in the future. The topic modeling technique latent Dirichlet allocation was used to analyze these textual responses to uncover common thematic topics within the texts. ResultsParticipants provided responses related to sharing their store loyalty card data (n=2338) and health and fitness app data (n=1531). Key barriers to data sharing identified through topic modeling included data safety and security, personal privacy, requirements of further information, fear of data being accessed by others, problems with data accuracy, not understanding the reason for data linkage, and not using services that produce these data. We provide recommendations for addressing these issues to establish the best practice for future researchers interested in using these data. ConclusionsThis study formulates a large-scale consultation of public attitudes toward this kind of data linkage, which is an important first step in understanding and addressing barriers to participation in research using novel consumer and lifestyle data.
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- 2021
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8. The Patristic Origin of “Mutual Subordination”
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Clark, Stephen and Whitters, Mark
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- 2017
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9. Validation of the 22-day honey bee larval toxicity, repeated (chronic) exposure study design
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Schmehl, Daniel, Hinarejos, Silvia, Ellis, Jamie, and Clark, Stephen
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Agriculture ,Botany ,QK1-989 - Abstract
Assessing the chronic toxicity of a compound to developing honey bees (Apis mellifera L.) has proven to be a challenge since the mid-2000s. Such data are requested by global regulatory authorities so they can evaluate the risk of compounds to larval honey bees when exposure is likely to occur in the environment. Poor test performance has led to frequent study failures and data uncertainty. Here we highlight a recent effort by the Pollinator Research Task Force (PRTF)1 to validate the use of a method for evaluating the chronic toxicity of a compound (e.g., a pesticide) to an immature honey bee for use in a risk assessment. A ring test protocol was selected and based upon the current OECD guidance document No. 2392 with amendments developed at the University of Florida (Schmehl et al. 2016)3. Fifteen independent laboratories on three continents representing government, academia, and industry followed the same testing protocol to: 1) determine if test performance is robust across different geographic regions and different laboratory personnel and 2) identify limitations associated with the methodology. The control performance criteria for a valid test according to OECD GD 239 is ≥ 85% survival at the end of the larval development and ≥ 70% survival through adult emergence. Thirteen trials (81.3%) satisfied the validity criteria and the test design’s performance was determined adequate for regulatory testing. The toxic reference chemical (dimethoate) had a consistent response with a 22-day EC 50 range of 8-22 μg active substance (a.s.)/g diet. An acetone concentration at the maximum concentration allowed by the OECD GD 239 (2% acetone) was observed to be problematic to test performance. In conclusion, the ring test methods based upon the OECD GD 239 demonstrated that the repeat (chronic) exposure of a compound on developing bees can be successfully conducted. A copy of the full study report4 can be accessed here.
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- 2018
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10. Implementation of Firm-Dispatchable Generation in South Africa
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Clark, Stephen R. and McGregor, Craig
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Electrical Engineering and Systems Science - Systems and Control - Abstract
South Africa is currently facing a critical situation in its power generation landscape, which is plagued by frequent power outages and the need to move from fossil fuels to renewable energy sources. This period emphasizes the importance of having firm-dispatchable power to balance out the intermittent nature of wind and solar energy sources. The paper proposes to repurpose old coal-fired power plants to generate firm-dispatchable energy in line with the principles of a Just Transition. Eskom's coal plants are approaching the end of their economic life, and their declining energy availability factor is becoming a challenge in meeting the country's energy needs. The study suggests that a comprehensive strategy that integrates wind, solar, and firm-dispatchable power can be cost-effective and reliable compared to the traditional coal-based approach or the nuclear alternative. The study emphasizes the necessity of a 25-year plan that would invest in flexible and modular dispatchable generation. It also highlights the strategic location of this generating capacity, including repurposing decommissioned coal plant sites. The proposed model integrates private investment, adheres to established best practices, and emphasizes adaptability to changing demand dynamics. The study provides a roadmap for enabling firm-dispatchable capacity for South Africa's energy transition, emphasizing economic prudence, environmental sustainability, and alignment with the principles of the Just Transition program.
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- 2024
11. Firm-Dispatchable Power and its Requirement in a Power System based on Variable Generation
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Clark, Stephen R. and McGregor, Craig
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Electrical Engineering and Systems Science - Systems and Control - Abstract
Many countries have commenced a transition from fossil fuel-based electricity generation systems to sustainable systems based on wind and solar generation. It is often noted that the least cost approach would involve a massive scale-up in the building of variable renewables, supported by battery storage and gas peaking plants. The required backup should be firm-dispatchable generation rather than peaking power. The wind and solar generation aspects for this system are clearly defined and understood, however, the term firm-dispatchable power is not defined and the specific requirements are poorly understood. This study seeks to define firm-dispatchable power in this context and its requirement in the sustainable generation system. The study compares 100% renewable generation scenarios from South Africa, Texas, and the UK to demonstrate the requirement for this firm-dispatchable generation. The results indicate that firm-dispatchable generation must be available to replace the renewable generation completely. The required installed capacity for this firm-dispatchable generation does not vary with the distinct demand profiles of the different locations or their comparative renewable generation profiles. It also does not change significantly with the use of energy storage. The usage for this firm-dispatchable generation will vary due to the comparative economics of its use, but the requirement for its installation does not change.
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- 2024
12. Specialising Neural-network Quantum States for the Bose Hubbard Model
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Pei, Michael Y. and Clark, Stephen R.
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Condensed Matter - Quantum Gases - Abstract
Projected variational wavefunctions such as the Gutzwiller, many-body correlator and Jastrow ansatzes have provided crucial insight into the nature of superfluid-Mott insulator transition in the Bose Hubbard model (BHM) in two or more spatial dimensions. However, these ansatzes have no obvious tractable and systematic way of being improved. A promising alternative is to use Neural-network quantum states (NQS) based on Restricted Boltzmann Machines (RBMs). With binary visible and hidden units NQS have proven to be a highly effective at describing quantum states of interacting spin-1/2 lattice systems. The application of NQS to bosonic systems has so far been based on one-hot encoding from machine learning where the multi-valued site occupation is distributed across several binary-valued visible units of an RBM. Compared to spin-1/2 systems one-hot encoding greatly increases the number of variational parameters whilst also making their physical interpretation opaque. Here we revisit the construction of NQS for bosonic systems by reformulating a one-hot encoded RBM into a correlation operator applied to a reference state, analogous to the structure of the projected variational ansatzes. In this form we then propose a number of specialisations of the RBM motivated by the physics of the BHM and the ability to capture exactly the projected variational ansatzes. We analyse in detail the variational performance of these new RBM variants for a 10 x 10 BHM, using both a standard Bose condensate state and a pre-optimised Jastrow + many-body correlator state as the reference state of the calculation. Several of our new ansatzes give robust results as nearly good as one-hot encoding across the regimes of the BHM, but at a substantially reduced cost. Such specialised NQS are thus primed tackle bosonic lattice problems beyond the accuracy of classic variational wavefunctions., Comment: 25 pages, 11 figures and 3 appendices
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- 2024
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13. Enhancing Surgical Performance in Cardiothoracic Surgery with Innovations from Computer Vision and Artificial Intelligence: A Narrative Review
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Constable, Merryn D., Shum, Hubert P. H., and Clark, Stephen
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Computer Science - Computer Vision and Pattern Recognition - Abstract
When technical requirements are high, and patient outcomes are critical, opportunities for monitoring and improving surgical skills via objective motion analysis feedback may be particularly beneficial. This narrative review synthesises work on technical and non-technical surgical skills, collaborative task performance, and pose estimation to illustrate new opportunities to advance cardiothoracic surgical performance with innovations from computer vision and artificial intelligence. These technological innovations are critically evaluated in terms of the benefits they could offer the cardiothoracic surgical community, and any barriers to the uptake of the technology are elaborated upon. Like some other specialities, cardiothoracic surgery has relatively few opportunities to benefit from tools with data capture technology embedded within them (as with robotic-assisted laparoscopic surgery, for example). In such cases, pose estimation techniques that allow for movement tracking across a conventional operating field without using specialist equipment or markers offer considerable potential. With video data from either simulated or real surgical procedures, these tools can (1) provide insight into the development of expertise and surgical performance over a surgeon's career, (2) provide feedback to trainee surgeons regarding areas for improvement, (3) provide the opportunity to investigate what aspects of skill may be linked to patient outcomes which can (4) inform the aspects of surgical skill which should be focused on within training or mentoring programmes. Classifier or assessment algorithms that use artificial intelligence to 'learn' what expertise is from expert surgical evaluators could further assist educators in determining if trainees meet competency thresholds.
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- 2024
14. Non-Markovian Quantum Mpemba effect
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Strachan, David J., Purkayastha, Archak, and Clark, Stephen R.
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Quantum Physics ,Condensed Matter - Statistical Mechanics - Abstract
Since it's rediscovery in the twentieth century, the Mpemba effect, where a far-from-equilibrium state may relax faster than a state closer to equilibrium, has been extensively studied in classical systems and has recently received significant attention in quantum systems. Many theories explaining this counter-intuitive behavior in classical systems rely on memory effects. However, in quantum systems, the relation between the Mpemba effect and memory has remained unexplored. In this work, we consider a general non-Markovian open quantum setting and reveal new classes of quantum Mpemba effects, with no analog in Markovian quantum dynamics. Generically, open quantum dynamics possess a finite memory time and a unique steady state. Due to non-Markovian dynamics, even if the system is initialized in the steady state it can take a long time to relax back. We find other initial states that reach the steady state much faster. Most notably, we demonstrate that there can be an initial state in which the system reaches the steady state within the finite memory time itself, therefore giving the fastest possible relaxation to stationarity. We verify the effect for quantum dot systems coupled to electronic reservoirs in equilibrium and non-equilibrium setups at weak, intermediate and strong coupling, and both with and without interactions. Our work provides new insights into the rich physics underlying accelerated relaxation in quantum systems., Comment: v2, 4 pages, 3 figures and supplemental material. Substantially updated from v1
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- 2024
15. Philosophic Silence and the ‘One’ in Plotinus by Nicholas Banner (review)
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Clark, Stephen R. L.
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- 2019
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16. Entropy production in the mesoscopic-leads formulation of quantum thermodynamics
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Lacerda, Artur M., Kewming, Michael J., Brenes, Marlon, Jackson, Conor, Clark, Stephen R., Mitchison, Mark T., and Goold, John
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Quantum Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Condensed Matter - Statistical Mechanics - Abstract
Understanding the entropy production of systems strongly coupled to thermal baths is a core problem of both quantum thermodynamics and mesoscopic physics. While there exist many techniques to accurately study entropy production in such systems, they typically require a microscopic description of the baths, which can become numerically intractable to study for large systems. Alternatively an open-systems approach can be employed with all the nuances associated with various levels of approximation. Recently, the mesoscopic leads approach has emerged as a powerful method for studying such quantum systems strongly coupled to multiple thermal baths. In this method, a set of discretised lead modes, each locally damped, provide a Markovian embedding. Here we show that this method proves extremely useful to describe entropy production of a strongly coupled open quantum system. We show numerically, for both non-interacting and interacting setups, that a system coupled to a single bath exhibits a thermal fixed point at the level of the embedding. This allows us to use various results from the thermodynamics of quantum dynamical semi-groups to infer the non-equilibrium thermodynamics of the strongly coupled, non-Markovian central systems. In particular, we show that the entropy production in the transient regime recovers the well established microscopic definitions of entropy production with a correction that can be computed explicitly for both the single- and multiple-lead cases., Comment: 11 pages, 6 figures. Final author version
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- 2023
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17. scEpiAge: an age predictor highlighting single-cell ageing heterogeneity in mouse blood
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Bonder, Marc Jan, Clark, Stephen J., Krueger, Felix, Luo, Siyuan, Agostinho de Sousa, João, Hashtroud, Aida M., Stubbs, Thomas M., Stark, Anne-Katrien, Rulands, Steffen, Stegle, Oliver, Reik, Wolf, and von Meyenn, Ferdinand
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- 2024
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18. Peptide binding classification on quantum computers
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London, Charles, Brown, Douglas, Xu, Wenduan, Vatansever, Sezen, Langmead, Christopher J., Kartsaklis, Dimitri, Clark, Stephen, and Meichanetzidis, Konstantinos
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- 2024
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19. Primordial germ cell DNA demethylation and development require DNA translesion synthesis
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Shah, Pranay, Hill, Ross, Dion, Camille, Clark, Stephen J., Abakir, Abdulkadir, Willems, Jeroen, Arends, Mark J., Garaycoechea, Juan I., Leitch, Harry G., Reik, Wolf, and Crossan, Gerry P.
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- 2024
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20. Serogroup B Invasive Meningococcal Disease in Older Adults Identified by Genomic Surveillance, England, 2022-2023
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Loud, Emily, Clark, Stephen A., Edwards, David S., Knapper, Elizabeth, Emmett, Lynsey, Ladhani, Shamez, and Campbell, Helen
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Meningococcal infections -- Case studies -- Diagnosis -- Causes of ,Health - Abstract
Cases of invasive meningococcal disease (IMD) have declined in England, from 2,595 in 2000 to 205 in 2022 (1). During 2021-2022, a total of 89% of IMD cases occurred in [...]
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- 2024
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21. Formalising and Learning a Quantum Model of Concepts
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Tull, Sean, Shaikh, Razin A., Zemljic, Sara Sabrina, and Clark, Stephen
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Quantitative Biology - Neurons and Cognition ,Computer Science - Artificial Intelligence ,Quantum Physics - Abstract
In this report we present a new modelling framework for concepts based on quantum theory, and demonstrate how the conceptual representations can be learned automatically from data. A contribution of the work is a thorough category-theoretic formalisation of our framework. We claim that the use of category theory, and in particular the use of string diagrams to describe quantum processes, helps elucidate some of the most important features of our quantum approach to concept modelling. Our approach builds upon Gardenfors' classical framework of conceptual spaces, in which cognition is modelled geometrically through the use of convex spaces, which in turn factorise in terms of simpler spaces called domains. We show how concepts from the domains of shape, colour, size and position can be learned from images of simple shapes, where individual images are represented as quantum states and concepts as quantum effects. Concepts are learned by a hybrid classical-quantum network trained to perform concept classification, where the classical image processing is carried out by a convolutional neural network and the quantum representations are produced by a parameterised quantum circuit. We also use discarding to produce mixed effects, which can then be used to learn concepts which only apply to a subset of the domains, and show how entanglement (together with discarding) can be used to capture interesting correlations across domains. Finally, we consider the question of whether our quantum models of concepts can be considered conceptual spaces in the Gardenfors sense.
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- 2023
22. Aristotle's Classification of Animals. Biology and the Conceptual Unity of the Aristotelian Corpus (review)
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Clark, Stephen R. L
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- 2008
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23. Minds, Memes, and Multiples
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Clark, Stephen R. L
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- 1996
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24. Giant rectification in strongly-interacting driven tilted systems
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Mendoza-Arenas, Juan José and Clark, Stephen R.
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Quantum Physics ,Condensed Matter - Quantum Gases ,Condensed Matter - Statistical Mechanics ,Condensed Matter - Strongly Correlated Electrons - Abstract
Correlated quantum systems feature a wide range of nontrivial effects emerging from interactions between their constituting particles. In nonequilibrium scenarios, these manifest in phenomena such as many-body insulating states and anomalous scaling laws of currents of conserved quantities, crucial for applications in quantum circuit technologies. In this work we propose a giant rectification scheme based on the asymmetric interplay between strong particle interactions and a tilted potential, each of which induces an insulating state on their own. While for reverse bias both cooperate and induce a strengthened insulator with an exponentially suppressed current, for forward bias they compete generating conduction resonances; this leads to a rectification coefficient of many orders of magnitude. We uncover the mechanism underlying these resonances as enhanced coherences between energy eigenstates occurring at avoided crossings in the system's bulk energy spectrum. Furthermore, we demonstrate the complexity of the many-body nonequilibrium conducting state through the emergence of enhanced density matrix impurity and operator space entanglement entropy close to the resonances. Our proposal paves the way for implementing a perfect diode in currently-available electronic and quantum simulation platforms., Comment: Accepted for publication in Physical Review X Quantum. 5 figures in main text, 6 figures in appendices
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- 2022
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25. A Quantum Model of Concepts
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Tull, Sean Edward, Shaikh, Razin A, Zemljic, Sara Sabrina, and Clark, Stephen
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Artificial Intelligence ,Concepts and categories ,Language and thought ,Machine learning ,Mathematical modeling - Abstract
In this paper we present a new modelling framework for concepts based on quantum theory, and demonstrate how the conceptual representations can be learned from data. Our approach builds upon Gardenfors' classical framework of conceptual spaces, in which cognition is modelled geometrically through the use of convex spaces, which in turn factorise in terms of simpler spaces called domains. We show how concepts from the domains of SHAPE, COLOUR, SIZE and POSITION can be learned from images of simple shapes, where individual images are represented as quantum states and concepts as quantum effects. Concepts are learned by a hybrid classical-quantum network trained to perform concept classification. We also use discarding to produce mixed effects, which can then be used to learn concepts which only apply to a subset of the domains, and show how entanglement (together with discarding) can be used to capture interesting correlations across domains.
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- 2023
26. Constructing Persons: The Psychopathology of Identity
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Clark, Stephen R. L
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- 2003
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27. From conceptual spaces to quantum concepts: formalising and learning structured conceptual models
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Tull, Sean, Shaikh, Razin A., Zemljič, Sara Sabrina, and Clark, Stephen
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- 2024
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28. Evaluating the impact of the global COVID-19 pandemic on Banksy’s limited edition print market
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Clark, Stephen
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- 2024
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29. Marmoset and human trophoblast stem cells differ in signaling requirements and recapitulate divergent modes of trophoblast invasion
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Siriwardena, Dylan, Munger, Clara, Penfold, Christopher, Kohler, Timo N., Weberling, Antonia, Linneberg-Agerholm, Madeleine, Slatery, Erin, Ellermann, Anna L., Bergmann, Sophie, Clark, Stephen J., Rawlings, Thomas M., Brickman, Joshua M., Reik, Wolf, Brosens, Jan J., Zernicka-Goetz, Magdalena, Sasaki, Erika, Behr, Rüdiger, Hollfelder, Florian, and Boroviak, Thorsten E.
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- 2024
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30. The Conceptual VAE
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Shaikh, Razin A., Zemljic, Sara Sabrina, Tull, Sean, and Clark, Stephen
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Computer Science - Machine Learning ,Computer Science - Artificial Intelligence - Abstract
In this report we present a new model of concepts, based on the framework of variational autoencoders, which is designed to have attractive properties such as factored conceptual domains, and at the same time be learnable from data. The model is inspired by, and closely related to, the Beta-VAE model of concepts, but is designed to be more closely connected with language, so that the names of concepts form part of the graphical model. We provide evidence that our model -- which we call the Conceptual VAE -- is able to learn interpretable conceptual representations from simple images of coloured shapes together with the corresponding concept labels. We also show how the model can be used as a concept classifier, and how it can be adapted to learn from fewer labels per instance. Finally, we formally relate our model to Gardenfors' theory of conceptual spaces, showing how the Gaussians we use to represent concepts can be formalised in terms of "fuzzy concepts" in such a space.
- Published
- 2022
31. Thermally Driven Polaron Transport in Conjugated Polymers
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Berencei, Laszlo, Barford, William, and Clark, Stephen R.
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Condensed Matter - Statistical Mechanics ,Physics - Chemical Physics - Abstract
We present a hybrid quantum-classical simulation of charge-polaron transport in conjugated polymers. The charge, which couples to the angular rotations of the monomers, is modeled via the time-dependent Schr\"odinger equation, while the monomers are treated classically via the Ehrenfest equations of motion. In addition, the system is thermalized by assuming that the monomers are subject to Brownian fluctuations modeled by the Langevin equation. Charge coupling to the monomer rotations localizes the particle into a Landau polaron, while the thermal fluctuations of the monomers causes polaron dynamics. The emergent low-energy scale of the model is the polaron reorganization energy, $E_r$, and thus $T_r = E_r/k_B$ is a convenient scale for the low-temperature dynamics. We investigate two types of dynamics -- both relevant for temperatures $T < T_r$. In the lower temperature regime the system remains in the same quasidiabatic state, corresponding to activationless polaron diffusion as the polaron crawls stochastically along the chain. As the temperature is raised, however, there is a cross-over to an additional activated transfer process which corresponds to hopping between diabatic states. We show that these processes exhibit Landau-Zener type dynamics. We note that as our model is general, it equally applies to exciton-polaron (i.e., energy) transport in conjugated polymers, and to charge and exciton polaron transport in quasi one-dimensional molecular stacks.
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- 2022
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32. Commentary on "Multiple Personality and Moral Responsibility"
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Clark, Stephen R. L
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- 1996
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33. lambeq: An Efficient High-Level Python Library for Quantum NLP
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Kartsaklis, Dimitri, Fan, Ian, Yeung, Richie, Pearson, Anna, Lorenz, Robin, Toumi, Alexis, de Felice, Giovanni, Meichanetzidis, Konstantinos, Clark, Stephen, and Coecke, Bob
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Computer Science - Computation and Language ,Computer Science - Artificial Intelligence ,Quantum Physics - Abstract
We present lambeq, the first high-level Python library for Quantum Natural Language Processing (QNLP). The open-source toolkit offers a detailed hierarchy of modules and classes implementing all stages of a pipeline for converting sentences to string diagrams, tensor networks, and quantum circuits ready to be used on a quantum computer. lambeq supports syntactic parsing, rewriting and simplification of string diagrams, ansatz creation and manipulation, as well as a number of compositional models for preparing quantum-friendly representations of sentences, employing various degrees of syntax sensitivity. We present the generic architecture and describe the most important modules in detail, demonstrating the usage with illustrative examples. Further, we test the toolkit in practice by using it to perform a number of experiments on simple NLP tasks, implementing both classical and quantum pipelines.
- Published
- 2021
34. Quantifying the effects of training in lung transplantation: Lessons from NASA
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Chilvers, Nicholas J.S., Evans, Zachariah M., Clark, Alexander W., Mydin, Muhammad I., and Clark, Stephen C.
- Published
- 2024
- Full Text
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35. Something Old, Something New: Grammar-based CCG Parsing with Transformer Models
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Clark, Stephen
- Subjects
Computer Science - Computation and Language - Abstract
This report describes the parsing problem for Combinatory Categorial Grammar (CCG), showing how a combination of Transformer-based neural models and a symbolic CCG grammar can lead to substantial gains over existing approaches. The report also documents a 20-year research program, showing how NLP methods have evolved over this time. The staggering accuracy improvements provided by neural models for CCG parsing can be seen as a reflection of the improvements seen in NLP more generally. The report provides a minimal introduction to CCG and CCG parsing, with many pointers to the relevant literature. It then describes the CCG supertagging problem, and some recent work from Tian et al. (2020) which applies Transformer-based models to supertagging with great effect. I use this existing model to develop a CCG multitagger, which can serve as a front-end to an existing CCG parser. Simply using this new multitagger provides substantial gains in parsing accuracy. I then show how a Transformer-based model from the parsing literature can be combined with the grammar-based CCG parser, setting a new state-of-the-art for the CCGbank parsing task of almost 93% F-score for labelled dependencies, with complete sentence accuracies of over 50%., Comment: o Added to the description of the formal properties of CCG o Added more description of how maxent and neural taggers differ o Added a ref to some very recent CCG parsing work o Fixed a bug in one of the figures o Added a note and ref to the conclusions o Added to the acknowledgements
- Published
- 2021
36. Māori Land Court of New Zealand - practice note - special aid fund - appointment of a barrister or solicitor
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Isaac, Wilson, Fox, Caren, and Clark, Stephen
- Published
- 2012
37. Neural-network Quantum States for Spin-1 systems: spin-basis and parameterization effects on compactness of representations
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Pei, Michael Y. and Clark, Stephen R.
- Subjects
Quantum Physics ,Condensed Matter - Strongly Correlated Electrons - Abstract
Neural network quantum states (NQS) have been widely applied to spin-1/2 systems where they have proven to be highly effective. The application to systems with larger on-site dimension, such as spin-1 or bosonic systems, has been explored less and predominantly using spin-1/2 Restricted Boltzmann Machines (RBMs) with a one-hot/unary encoding. Here we propose a more direct generalisation of RBMs for spin-1 that retains the key properties of the standard spin-1/2 RBM, specifically trivial product states representations, labelling freedom for the visible variables and gauge equivalence to the tensor network formulation. To test this new approach we present variational Monte Carlo (VMC) calculations for the spin-1 antiferromagnetic Heisenberg (AFH) model and benchmark it against the one-hot/unary encoded RBM demonstrating that it achieves the same accuracy with substantially fewer variational parameters. Further to this we investigate how the hidden unit complexity of NQS depend on the local single-spin basis used. Exploiting the tensor network version of our RBM we construct an analytic NQS representation of the Affleck-Kennedy-Lieb-Tasaki (AKLT) state in the $xyz$ spin-1 basis using only $M = 2N$ hidden units, compared to $M \sim O(N^2)$ required in the $S^z$ basis. Additional VMC calculations provide strong evidence that the AKLT state in fact possesses an exact compact NQS representation in the $xyz$ basis with only $M=N$ hidden units. These insights help to further unravel how to most effectively adapt the NQS framework for more complex quantum systems., Comment: 29 pages, 10 figures
- Published
- 2021
- Full Text
- View/download PDF
38. Compact Neural-network Quantum State representations of Jastrow and Stabilizer states
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Pei, Michael Y. and Clark, Stephen R.
- Subjects
Quantum Physics ,Condensed Matter - Strongly Correlated Electrons - Abstract
Neural-network quantum states (NQS) have become a powerful tool in many-body physics. Of the numerous possible architectures in which neural-networks can encode amplitudes of quantum states the simplicity of the Restricted Boltzmann Machine (RBM) has proven especially useful for both numerical and analytical studies. In particular devising exact NQS representations for important classes of states, like Jastrow and stabilizer states, has provided useful clues into the strengths and limitations of the RBM based NQS. However, current constructions for a system of $N$ spins generate NQS with $M \sim O(N^2)$ hidden units that are very sparsely connected. This makes them rather atypical NQS compared to those commonly generated by numerical optimisation. Here we focus on compact NQS, denoting NQS with a hidden unit density $\alpha = M/N \leq 1$ but with system-extensive hidden-visible unit connectivity. By unifying Jastrow and stabilizer states we introduce a new exact representation that requires at most $M=N-1$ hidden units, illustrating how highly expressive $\alpha \leq 1$ can be. Owing to their structural similarity to numerical NQS solutions our result provides useful insights and could pave the way for more families of quantum states to be represented exactly by compact NQS., Comment: 38 pages, 9 figures
- Published
- 2021
- Full Text
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39. Formalising Concepts as Grounded Abstractions
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Clark, Stephen, Lerchner, Alexander, von Glehn, Tamara, Tieleman, Olivier, Tanburn, Richard, Dashevskiy, Misha, and Bosnjak, Matko
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Computer Science - Artificial Intelligence - Abstract
The notion of concept has been studied for centuries, by philosophers, linguists, cognitive scientists, and researchers in artificial intelligence (Margolis & Laurence, 1999). There is a large literature on formal, mathematical models of concepts, including a whole sub-field of AI -- Formal Concept Analysis -- devoted to this topic (Ganter & Obiedkov, 2016). Recently, researchers in machine learning have begun to investigate how methods from representation learning can be used to induce concepts from raw perceptual data (Higgins, Sonnerat, et al., 2018). The goal of this report is to provide a formal account of concepts which is compatible with this latest work in deep learning. The main technical goal of this report is to show how techniques from representation learning can be married with a lattice-theoretic formulation of conceptual spaces. The mathematics of partial orders and lattices is a standard tool for modelling conceptual spaces (Ch.2, Mitchell (1997), Ganter and Obiedkov (2016)); however, there is no formal work that we are aware of which defines a conceptual lattice on top of a representation that is induced using unsupervised deep learning (Goodfellow et al., 2016). The advantages of partially-ordered lattice structures are that these provide natural mechanisms for use in concept discovery algorithms, through the meets and joins of the lattice.
- Published
- 2021
40. Patrides, Plotinus and the Cambridge Platonists
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Clark, Stephen R. L., primary
- Published
- 2023
- Full Text
- View/download PDF
41. Imitating Interactive Intelligence
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Abramson, Josh, Ahuja, Arun, Barr, Iain, Brussee, Arthur, Carnevale, Federico, Cassin, Mary, Chhaparia, Rachita, Clark, Stephen, Damoc, Bogdan, Dudzik, Andrew, Georgiev, Petko, Guy, Aurelia, Harley, Tim, Hill, Felix, Hung, Alden, Kenton, Zachary, Landon, Jessica, Lillicrap, Timothy, Mathewson, Kory, Mokrá, Soňa, Muldal, Alistair, Santoro, Adam, Savinov, Nikolay, Varma, Vikrant, Wayne, Greg, Williams, Duncan, Wong, Nathaniel, Yan, Chen, and Zhu, Rui
- Subjects
Computer Science - Machine Learning ,Computer Science - Artificial Intelligence ,Computer Science - Multiagent Systems - Abstract
A common vision from science fiction is that robots will one day inhabit our physical spaces, sense the world as we do, assist our physical labours, and communicate with us through natural language. Here we study how to design artificial agents that can interact naturally with humans using the simplification of a virtual environment. This setting nevertheless integrates a number of the central challenges of artificial intelligence (AI) research: complex visual perception and goal-directed physical control, grounded language comprehension and production, and multi-agent social interaction. To build agents that can robustly interact with humans, we would ideally train them while they interact with humans. However, this is presently impractical. Therefore, we approximate the role of the human with another learned agent, and use ideas from inverse reinforcement learning to reduce the disparities between human-human and agent-agent interactive behaviour. Rigorously evaluating our agents poses a great challenge, so we develop a variety of behavioural tests, including evaluation by humans who watch videos of agents or interact directly with them. These evaluations convincingly demonstrate that interactive training and auxiliary losses improve agent behaviour beyond what is achieved by supervised learning of actions alone. Further, we demonstrate that agent capabilities generalise beyond literal experiences in the dataset. Finally, we train evaluation models whose ratings of agents agree well with human judgement, thus permitting the evaluation of new agent models without additional effort. Taken together, our results in this virtual environment provide evidence that large-scale human behavioural imitation is a promising tool to create intelligent, interactive agents, and the challenge of reliably evaluating such agents is possible to surmount.
- Published
- 2020
42. Investigation of the Non-equilibrium State of Strongly Correlated Materials by Complementary Ultrafast Spectroscopy Techniques
- Author
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Hedayat, Hamoon, Sayers, Charles J., Ceraso, Arianna, van Wezel, Jasper, Clark, Stephen R., Dallera, Claudia, Cerullo, Giulio, Da Como, Enrico, and Carpene, Ettore
- Subjects
Condensed Matter - Strongly Correlated Electrons ,Condensed Matter - Materials Science ,Physics - Applied Physics - Abstract
Photoinduced non-thermal phase transitions are new paradigms of exotic non-equilibrium physics of strongly correlated materials. An ultrashort optical pulse can drive the system to a new order through complex microscopic interactions that do not occur in the equilibrium state. Ultrafast spectroscopies are unique tools to reveal the underlying mechanisms of such transitions which lead to transient phases of matter. Yet, their individual specificities often do not provide an exhaustive picture of the physical problem. One effective solution to enhance their performance is the integration of different ultrafast techniques. This provides an opportunity to simultaneously probe physical phenomena from different perspectives whilst maintaining the same experimental conditions. In this context, we performed complementary experiments by combining time-resolved reflectivity and time and angle-resolved photoemission spectroscopy. We demonstrated the advantage of this combined approach by investigating the complex charge density wave (CDW) phase in 1$\it{T}$-TiSe$_{2}$. Specifically, we show the key role of lattice degrees of freedom to establish and stabilize the CDW in this material.
- Published
- 2020
- Full Text
- View/download PDF
43. Learning to Personalize for Web Search Sessions
- Author
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Aloteibi, Saad and Clark, Stephen
- Subjects
Computer Science - Information Retrieval ,H.3 - Abstract
The task of session search focuses on using interaction data to improve relevance for the user's next query at the session level. In this paper, we formulate session search as a personalization task under the framework of learning to rank. Personalization approaches re-rank results to match a user model. Such user models are usually accumulated over time based on the user's browsing behaviour. We use a pre-computed and transparent set of user models based on concepts from the social science literature. Interaction data are used to map each session to these user models. Novel features are then estimated based on such models as well as sessions' interaction data. Extensive experiments on test collections from the TREC session track show statistically significant improvements over current session search algorithms., Comment: 10 pages; Preprint of the full paper accepted at CIKM 2020
- Published
- 2020
- Full Text
- View/download PDF
44. Grounded Language Learning Fast and Slow
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Hill, Felix, Tieleman, Olivier, von Glehn, Tamara, Wong, Nathaniel, Merzic, Hamza, and Clark, Stephen
- Subjects
Computer Science - Computation and Language ,Computer Science - Artificial Intelligence - Abstract
Recent work has shown that large text-based neural language models, trained with conventional supervised learning objectives, acquire a surprising propensity for few- and one-shot learning. Here, we show that an embodied agent situated in a simulated 3D world, and endowed with a novel dual-coding external memory, can exhibit similar one-shot word learning when trained with conventional reinforcement learning algorithms. After a single introduction to a novel object via continuous visual perception and a language prompt ("This is a dax"), the agent can re-identify the object and manipulate it as instructed ("Put the dax on the bed"). In doing so, it seamlessly integrates short-term, within-episode knowledge of the appropriate referent for the word "dax" with long-term lexical and motor knowledge acquired across episodes (i.e. "bed" and "putting"). We find that, under certain training conditions and with a particular memory writing mechanism, the agent's one-shot word-object binding generalizes to novel exemplars within the same ShapeNet category, and is effective in settings with unfamiliar numbers of objects. We further show how dual-coding memory can be exploited as a signal for intrinsic motivation, stimulating the agent to seek names for objects that may be useful for later executing instructions. Together, the results demonstrate that deep neural networks can exploit meta-learning, episodic memory and an explicitly multi-modal environment to account for 'fast-mapping', a fundamental pillar of human cognitive development and a potentially transformative capacity for agents that interact with human users.
- Published
- 2020
45. Probing Emergent Semantics in Predictive Agents via Question Answering
- Author
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Das, Abhishek, Carnevale, Federico, Merzic, Hamza, Rimell, Laura, Schneider, Rosalia, Abramson, Josh, Hung, Alden, Ahuja, Arun, Clark, Stephen, Wayne, Gregory, and Hill, Felix
- Subjects
Computer Science - Artificial Intelligence ,Computer Science - Computation and Language ,Computer Science - Machine Learning - Abstract
Recent work has shown how predictive modeling can endow agents with rich knowledge of their surroundings, improving their ability to act in complex environments. We propose question-answering as a general paradigm to decode and understand the representations that such agents develop, applying our method to two recent approaches to predictive modeling -action-conditional CPC (Guo et al., 2018) and SimCore (Gregor et al., 2019). After training agents with these predictive objectives in a visually-rich, 3D environment with an assortment of objects, colors, shapes, and spatial configurations, we probe their internal state representations with synthetic (English) questions, without backpropagating gradients from the question-answering decoder into the agent. The performance of different agents when probed this way reveals that they learn to encode factual, and seemingly compositional, information about objects, properties and spatial relations from their physical environment. Our approach is intuitive, i.e. humans can easily interpret responses of the model as opposed to inspecting continuous vectors, and model-agnostic, i.e. applicable to any modeling approach. By revealing the implicit knowledge of objects, quantities, properties and relations acquired by agents as they learn, question-conditional agent probing can stimulate the design and development of stronger predictive learning objectives., Comment: ICML 2020
- Published
- 2020
46. Learning to Segment Actions from Observation and Narration
- Author
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Fried, Daniel, Alayrac, Jean-Baptiste, Blunsom, Phil, Dyer, Chris, Clark, Stephen, and Nematzadeh, Aida
- Subjects
Computer Science - Computation and Language ,Computer Science - Computer Vision and Pattern Recognition - Abstract
We apply a generative segmental model of task structure, guided by narration, to action segmentation in video. We focus on unsupervised and weakly-supervised settings where no action labels are known during training. Despite its simplicity, our model performs competitively with previous work on a dataset of naturalistic instructional videos. Our model allows us to vary the sources of supervision used in training, and we find that both task structure and narrative language provide large benefits in segmentation quality., Comment: ACL 2020
- Published
- 2020
47. Who voted for a No Deal Brexit? A Composition Model of Great Britains 2019 European Parliamentary Elections
- Author
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Clark, Stephen
- Subjects
Physics - Physics and Society ,Economics - General Economics ,Statistics - Applications - Abstract
The purpose of this paper is to use the votes cast at the 2019 European elections held in United Kingdom to re-visit the analysis conducted subsequent to its 2016 European Union referendum vote. This exercise provides a staging post on public opinion as the United Kingdom moves to leave the European Union during 2020. A composition data analysis in a seemingly unrelated regression framework is adopted that respects the compositional nature of the vote outcome; each outcome is a share that adds up to 100% and each outcome is related to the alternatives. Contemporary explanatory data for each counting area is sourced from the themes of socio-demographics, employment, life satisfaction and place. The study find that there are still strong and stark divisions in the United Kingdom, defined by age, qualifications, employment and place. The use of a compositional analysis approach produces challenges in regards to the interpretation of these models, but marginal plots are seen to aid the interpretation somewhat., Comment: This article is complied with the main manuscript followed by the supplementary materials showing cartographic maps, scatter plots and marginal fit plots
- Published
- 2020
48. A distractions capture tool for cardiac surgery and lung transplantation: impact on outcomes
- Author
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Arkley, James, Ong, Lay Ping, Gunaratnam, Niranjan, Butt, Tanveer, and Clark, Stephen Charles
- Published
- 2023
- Full Text
- View/download PDF
49. Reaching new limits ... the Fairfield motorway
- Author
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Clark, Stephen
- Published
- 2002
50. Chronic larval and adult honey bee laboratory testing: Which dietary additive should be considered when a test substance is not solubilized in acetone?
- Author
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Tomé, Hudson V.V., Clark, Stephen L., Jorgenson, Brant C., Kimmel, Stefan, Wenzel, Bettina, Gimeno, Carmen, Porch, John, Patnaude, Michael R., Schmidt, Kristin, Deslandes, Line, and Schmehl, Daniel R.
- Published
- 2023
- Full Text
- View/download PDF
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