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    <title>Arber Zela — Blog</title>
    <link>https://arberzela.github.io/blog/</link>
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    <description>Arber Zela is a Postdoctoral Researcher at LIONS, EPFL, working on adaptive computation (reasoning, looping, test-time training), global optimization, and artificial life.</description>
    <language>en</language>
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      <title>Spherical Fixed-Point Reasoners</title>
      <link>https://arberzela.github.io/blog/sfprm/</link>
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      <pubDate>Tue, 20 Oct 2026 00:00:00 GMT</pubDate>
      <description>Adaptive loop halting on the hypersphere. Run a looped transformer&apos;s fixed-point solver on the unit sphere: the state cannot blow up, halting becomes an angle, and the geometry of the computation becomes readable.</description>
      <category>looped transformers</category>
      <category>adaptive computation</category>
      <category>paper</category>
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