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              <text>We consider two-layer ReLU networks with two symmetric neuron pairs and a skip connec- tion, constrained to interpolate four symmetric data points. We study the KKT points of the squared-norm minimisation problem, where the biases and skip connection are unpenalised. By constructing feasible descent directions, we show that every KKT point represents the unique ridgeless interpolant. We further establish that KKT points have balanced parame- ters and no cancellation between coincident slope jumps. Combining these results with the relationship between the squared norm and total variation, we prove that every feasible KKT point is a global minimiser of the squared-norm interpolation problem.</text>
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              <text>ReLU Neural Networks, KKT Conditions, Ridgeless Interpolation, Total Variation, Mathematical Optimisation, Minimum-Norm Interpolation</text>
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                <text>KKT Points and Ridgeless Interpolation in Symmetric ReLU Networks</text>
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                <text>Theoretical Machine Learning</text>
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            <name>Date</name>
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                <text>15th October 2026</text>
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                <text>Dominik Vuko</text>
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              <text>Universities in the UK are under growing pressure to improve their entrepreneurial output, with graduate start-ups becoming an increasingly important knowledge exchange outcome. Studies suggest that graduate start-up outcomes are linked to resources invested in a university’s ‘teaching’ mission, such as entrepreneurial education and training. However, results remain mixed and associational. This paper therefore asks whether increased university teaching focus causes an increase in graduate start-up creation and turnover. Using data from the Higher Education – Business and Community Interaction survey from 2008/09 to 2014/15, this paper exploits the 2012 tuition fee reform in England to proxy for an increased focus on English universities’ teaching missions and estimates a difference-in-differences model with Scottish universities as a control. The results show that after the reform, there was a significant increase in English graduate start-up creation compared to Scotland. The result is not driven by elite or London-based institutions. However, the effect loses significance in an uncontrolled specification from 2008/09 to 2024/25. There is also largely no evidence of an effect on graduate-start up turnover throughout.</text>
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              <text>Entrepreneurship, Teaching, Knowledge Exchange,  Universities</text>
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                <text>The Impact of Teaching on Graduate Entrepreneurship in the UK: Evidence from England and Scotland, 2008/09–2014/15</text>
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                <text>Investigating whether increased HEI teaching focus causes an improvement in graduate start-up outcomes.</text>
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            <name>Date</name>
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                <text>October 2026</text>
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            <description>An entity responsible for making contributions to the resource</description>
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                <text>Argyris Demetriou</text>
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              <text>A k-page book consists of a straight line, called the spine, and k half-planes, called pages, sharing the spine as their boundary. A k-page book drawing of a graph G places the vertices on the spine and draws each edge on a single page. The k-page crossing number is the minimum number of edge crossings over all possible k-page drawings. Finding a crossing-free book drawing with minimum number of pages(Book Thickness) and minimizing crossings for a fixed k (Book Drawing With Crossing Minimization) are both NP-hard. Recent works established fixed-parameter algorithms for Book Thickness parameterized by the vertex cover number and the vertex integrity, respectively [1, 2]. In this paper, we present the main ideas of these works and derive separate fixed-parameter algorithms for Book Drawing with Crossing Minimization w.r.t. the vertex cover number and the vertex integrity number.</text>
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              <text>Mathematics, Computer Science, Combinatorics, Embedding, Parameterised Algorithms,  Book Thickness,  Crossing, Minimization, Vertex Cover, Vertex Integrity</text>
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                <text>Parameterised Algorithms for Book Drawings with Crossing Minimization</text>
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                <text>Mathematics</text>
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            <name>Date</name>
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                <text> October 2026</text>
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                <text>Vladimir Brankovic</text>
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      <description>An academic paper</description>
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          <name>Abstract</name>
          <description>The abstract of the paper</description>
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              <text>The TESS mission has discovered many long-period exoplanets which transit only once. These planets represent an understudied population of temperate planets and recovering their orbital periods would provide insightful tests for models of planet formation and migration. With significant follow-up of such planets from both space- and ground-based observatories, there is a need to efficiently detect epochs which are well matched to known transit shapes in photometric datasets. This report describes the calibration of the template-matching search adopted in the BRUCE package, a Python library for modelling and fitting transiting planets and eclipsing binaries. The likelihood-ratio statistic returned by the scan is standardised into a matched-filter signal-to-noise ratio (S/N), z, which is exactly Gaussian under white noise, before being whitened by its own median absolute deviation over each scan. Six noise conditions, each with 2,500 realisations, were used to measure the false-alarm rate at local probabilities of 10^(-3) and 10^(-4). Under quasi-periodic spot modulation and granulation, the raw statistic produced false alarms at 230 and 103 times the nominal rate at 10^(-3) and up to 1,900 times at 10^(-4). The whitened statistic held every condition to within factors of 1.3 and 1.9, respectively. To test the sensitivity of the search, we performed an injection-recovery test on a grid of 51,200 synthetic TESS light curves: recovery was found to follow lines of constant single-transit S/N and the false-peak rate to scale inversely with template width. We conclude that this whitened matched-filter S/N statistic is the correct choice for the pipeline, as a single threshold is valid under both white and correlated noise, allowing further TESS single-transit candidates to be detected with a known false-alarm probability.</text>
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              <text>Exoplanet, TESS, NGTS</text>
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                <text>A whitened matched-filter statistic for detecting single exoplanet transits in survey photometry</text>
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            <description>The topic of the resource</description>
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                <text>Exoplanet detection</text>
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      <description>An academic paper</description>
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          <name>Abstract</name>
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              <text>This paper investigates whether the post-COVID rise in rural female labour force par- ticipation (RFLFP) in India reflects distress-driven labour supply. Using a state-level pseudo-panel constructed from the Periodic Labour Force Survey between 2017-18 and 2023-24, we measure states’ exposure to the COVID-19 shock using the pre-pandemic share of rural male non-farm employment in lockdown-vulnerable industries. We esti- mate an event-study difference-in-differences model with state and year fixed effects to test whether more exposed states experienced larger increases in RFLFP. Rural female participation rose from 24.6% to 47.6% over the period, with unpaid family helpers ac- counting for approximately 55% of this increase; participation excluding unpaid helpers also rose from 15.0% to 25.3%. The rise began before the pandemic and shows no sign of unwinding afterwards, so its timing is inconsistent with a purely COVID-specific distress response. Our test finds no statistically significant evidence that states with higher pre- pandemic male employment vulnerability experienced larger post-pandemic increases in RFLFP, but the estimates are imprecise and sensitive to weighting and to individual states. They therefore neither confirm nor reject distress as a driver of the rise.</text>
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              <text>Gender Economics, Labour Economics, Development Economics</text>
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                <text>Driven by distress or built to stay? How pre-COVID male employment vulnerability shaped regional rural female labour force participation: Evidence from India from 2017 to 2024</text>
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                <text>Gender and Labour Economics </text>
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                <text>Valliammai Subramanian, Suchismita Roy, Sarah Sajan</text>
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        <src>https://linen-dog.lnx.warwick.ac.uk/files/original/45c21baf68466e083a7d514943f413d9.pdf</src>
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              <text>The question of whether time is a fundamental feature of reality remains a central problem in attempts to unify quantum physics and general relativity, demanding an approach that brings physical theories into dialogue with philosophical questions about the nature of time and the fundamental structure of reality. The absence of an explicit time parameter in the Wheeler–DeWitt equation motivates relational approaches to time, such as the Page-Wootters mechanism explored computationally in this paper, where time emerges from the conditional probability of a system's state given the state of a clock subsystem. Here a Python simulation is used to approximate this, where one qubit acts as an internal clock and the remaining qubits constitute the physical system, and probabilistic projective measurements of the clock subsystem examine the formation of conditional system states and the emergence of temporal ordering. While constraints such as the simplified clock and finite system sizes limit what can be determined on the nature of time from these results, they illustrate how temporal descriptions may be reconstructed within a closed quantum system without assigning a fundamental role to an external time parameter, supporting the conceptual plausibility of emergent temporal structure.</text>
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              <text>Physics, philosophy, time, problem of time, quantum systems, quantum physics, emergent time</text>
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                <text>Is Time Fundamental? Emergent Time in Quantum Systems.</text>
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                <text>Physics and Philosophy</text>
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                <text>2026</text>
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                <text>Rudolf Römer and Christoph Hoerl</text>
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          <name>Abstract</name>
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              <text>Modal paradoxes suggest that if individuals could have been slightly different from how they actually are (tolerance), then they also could have been radically different (hypertolerance). Although these paradoxes have often been interpreted as requiring a unified solution, this project explores how a non-unified solution can be constructed so that the degree of change an individual undergoes becomes relevant to the force of the paradox. This is achieved under a variant of 'moderate haecceitism' which allows tolerance up until the individual changes the kind of thing that it is. In cases where the individual retains its kind, we can accept hypertolerance, whilst in cases where it changes its kind, we can reject the assumption of ‘necessitated tolerance’ by appealing to monstrous possible worlds, where at least one possible individual is intolerant.</text>
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              <text>Philosophy, Metaphysics, Modality, Identity,  Haecceitism, Essentialism, Sortals</text>
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            <description>A name given to the resource</description>
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                <text>Who Is Not You? When Transworld Identity Reaches Its Limits</text>
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                <text>Philosophy</text>
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                <text>2026</text>
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                <text>Annabel Gloyn</text>
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      <name>Academic Paper</name>
      <description>An academic paper</description>
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          <name>Abstract</name>
          <description>The abstract of the paper</description>
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              <text>From its first election manifesto in 1997, New Labour defined itself through an optimistic nationalism that looked toward Britain’s place in the twenty-first century. In popular memory, this image of New Labour has endured, particularly in regard to Blair’s first term. This project moves beyond this constructed framework by exploring how nationalism was experienced by the British people during this period.  Adopting a cultural history approach that places political developments within the wider socio-cultural context, it will examine the national mentality during the period. In doing so, it will consider how Britishness was understood and interpreted within the cultural sphere and ultimately whether the ‘Cool Britannia’ generation shared this national optimism.  </text>
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              <text>Blair, Cool Britannia, New Labour, British Identity</text>
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                <text>Be Here Now: Emotion and Identity in Blair's Britain</text>
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                <text>The construction of national identity during Blair's first term</text>
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                <text>2026</text>
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                <text>Fin Elliott</text>
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        <src>https://linen-dog.lnx.warwick.ac.uk/files/original/77684f2b7f2172e243b400b343f397d9.pdf</src>
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              <text>This 2026 Undergraduate Research Support Scheme project, su- pervised by Dr. Hamdi D¨ervodeli, mainly focuses on Dirichlet’s Ap- proximation Theorem and its applications, specifically in the RSA encryption algorithm. The titular theorem plays a critical role in building an attack on the RSA, specifically Wiener’s Attack, which heavily borrows concepts from Dirichlet’s Approximation Theorem.</text>
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              <text>Mathematics, Cryptography</text>
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                <text>Dirichlet’s Approximation Theorem and Its Applications on Cryptography</text>
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                <text>Dirichlet's Approximation Theorem and its applications on cryptography </text>
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                <text>Dr Hamdi Dërvodeli (Supervisor)</text>
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