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Conner Chu 2024-08-02 11:15:36 -07:00
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{
"Title": "Glacier Bay National Park, c.a. 2015"
}

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{
"Title": "Pololū Valley Beach, c.a. 2015"
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{
"Title": "Big Basin Redwoods State Park, c.a. 2023"
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{
"Title": "Mammoth Mountain Chair 21, c.a. 2023"
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{
"Title": "Mammoth Mountain Chair 9, c.a. 2019"
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{
"Title": "Mammoth Mountain Chair 9, c.a. 2019"
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{
"Title": "Bacalar Lagoon, c.a. 2023"
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{
"Title": "Buffalo Bayou Park Cistern, c.a. 2023"
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{
"Title": "Gulf of Mexico, c.a. 2023"
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{
"Title": "San Francisco Ferry Building, c.a. 2024"
}

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{
"Title": "Grand Canyon, c.a. 2021"
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{
"Title": "Puʻuhonua o Hōnaunau National Historical Park, c.a. 2015"
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"Title": "Hoover Dam, c.a. 2021"
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{
"Title": "Mayan Ruins Of Tulum, c.a. 2023"
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{
"Title": "Los Angeles, c.a. 2022"
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{
"Title": "Point Lobos State Natural Reserve, c.a. 2024"
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{
"Title": "Acadia National Park, c.a. 2018"
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{
"Title": "Victoria Beach Pirate Tower, c.a. 2024"
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{
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<div class="post-content"> <div class="post-content">
<p>This summer, I had the pleasure of working under Jonah Adelman in Prof. Stephen Leone&rsquo;s group at UC Berkeley. Our group specializes in attosecond transient absorption pump-probe spectroscopy via high-harmonic generation, and my lab specifically focuses on applying this technique towards solid-state materials. Over the course of two months, my main objective was familiarizing myself with the first principles governing this spectroscopic method, and to conduct an experiment of my own, namely cross-polarizing the VIS-NIR pump beam and XUV probe beam in our setup to quantify the potential differences in absorption in elemental Tellurium. You can see my end of summer presentation <a href="https://docs.google.com/presentation/d/18qOD7k15k1lwhhwlrlWDNouyAlk_hKV5bYY0upQgMSc/edit?usp=sharing" target="_blank" rel="noopener">here</a>. Look in the speaker notes for details! One thing to note was following my presentation, I conducted the alternating wave plate scan mentioned in the &ldquo;Future Steps&rdquo; slide. Unfortunately, we found no difference in the absorption or phonon generation between the co-polarized or cross-polarized pump-probe measurements. This likely indicates that the anisotropic characteristics of Tellurium are not manifested in the effects of core-level excitation.</p> <p>This summer, I had the pleasure of working under Jonah Adelman in Prof. Stephen Leone&rsquo;s group at UC Berkeley. Our group specializes in attosecond transient absorption pump-probe spectroscopy via high-harmonic generation, and my lab specifically focuses on applying this technique towards solid-state materials. Over the course of two months, my main objective was familiarizing myself with the first principles governing this spectroscopic method, and to conduct an experiment of my own, namely cross-polarizing the VIS-NIR pump beam and XUV probe beam in our setup to quantify the potential differences in absorption in elemental Tellurium. You can see my end of summer presentation <a href="https://docs.google.com/presentation/d/18qOD7k15k1lwhhwlrlWDNouyAlk_hKV5bYY0upQgMSc/edit?usp=sharing">here</a>. Look in the speaker notes for details! One thing to note was following my presentation, I conducted the alternating wave plate scan mentioned in the &ldquo;Future Steps&rdquo; slide. Unfortunately, we found no difference in the absorption or phonon generation between the co-polarized or cross-polarized pump-probe measurements. This likely indicates that the anisotropic characteristics of Tellurium are not manifested in the effects of core-level excitation.</p>
</div> </div>
</article> </article>

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<div class="post-content"> <div class="post-content">
<p>It was around sophomore year of high school when I first learned about the odd fact that cow farts play a considerable role in the release of methane, a potent greenhouse gas, into our atmosphere. This surprising fact led me down a rabbit hole to understand the causes and effects of climate change. Around the same time, I learned and grew skeptical of a relatively new technology, electromagnetic field therapy, which claimed to boost cell proliferation and nutrient circulation in living systems. After thorough research into the technology, I grew inspired to leverage it to address the age old problem of climate change. Several months and countless cold emails later, I was granted bench space and mentorship at the C1-biocatalysis lab at San Diego State University under Dr. Kalyuzhnaya and Richard Hamilton. Read my publication <a href="https://emerginginvestigators.org/articles/21-170" target="_blank" rel="noopener">here</a>!</p> <p>It was around sophomore year of high school when I first learned about the odd fact that cow farts play a considerable role in the release of methane, a potent greenhouse gas, into our atmosphere. This surprising fact led me down a rabbit hole to understand the causes and effects of climate change. Around the same time, I learned and grew skeptical of a relatively new technology, electromagnetic field therapy, which claimed to boost cell proliferation and nutrient circulation in living systems. After thorough research into the technology, I grew inspired to leverage it to address the age old problem of climate change. Several months and countless cold emails later, I was granted bench space and mentorship at the C1-biocatalysis lab at San Diego State University under Dr. Kalyuzhnaya and Richard Hamilton. Read my publication <a href="https://emerginginvestigators.org/articles/21-170">here</a>!</p>
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</article> </article>

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@ -144,7 +144,7 @@ $$ MM^{\dagger} = U \Sigma V^{\dagger} V \Sigma U^{\dagger} = U \Sigma^2 U^{\dag
<p>Note: Both U and V are unitary matrices because they are formed by the orthonormal eigenvectors of their respective correlation matrices, and the eigenvectors are orthonormal because the correlation matrices are symmetric.</p> <p>Note: Both U and V are unitary matrices because they are formed by the orthonormal eigenvectors of their respective correlation matrices, and the eigenvectors are orthonormal because the correlation matrices are symmetric.</p>
<p>We see clearly then that our final expressions take the form of the characteristic equation, where \(U\) and \(V\) are the eigenvectors and \(\Sigma^2\) are the eigenvalues.</p> <p>We see clearly then that our final expressions take the form of the characteristic equation, where \(U\) and \(V\) are the eigenvectors and \(\Sigma^2\) are the eigenvalues.</p>
<p>Throughout my math courses, I have always preferred geometric intuition over any other. However in the case of SVD, I find it most satisfying and complete to see it as a decomposition that captures the dominant correlations between each variable in a dataset. Sure, SVD can be visualized as first a rotation/reflection governed by \(V^{\dagger}\), followed by some scaling factor \(\Sigma\) and dimensionality reducer/extender, followed by a final rotation/reflection governed by \(U\). But I feel this interpretation does not emphasize enough the construction behind these unitary and diagonal matrices.</p> <p>Throughout my math courses, I have always preferred geometric intuition over any other. However in the case of SVD, I find it most satisfying and complete to see it as a decomposition that captures the dominant correlations between each variable in a dataset. Sure, SVD can be visualized as first a rotation/reflection governed by \(V^{\dagger}\), followed by some scaling factor \(\Sigma\) and dimensionality reducer/extender, followed by a final rotation/reflection governed by \(U\). But I feel this interpretation does not emphasize enough the construction behind these unitary and diagonal matrices.</p>
<p>In closing, many of these data analysis techniques that we normally abstract away by calling some NumPy function, have far deeper meanings than we would oftentimes expect. I have only barely covered the surface of this topic, and would love to learn more eventually. One of the most important lessons I have learned throughout the past year is to balance and access the opportunity costs of the concepts one dedicates time to understand. If you would like any clarification on these topics, I highly recommend watching <a href="https://youtube.com/playlist?list=PLMrJAkhIeNNSVjnsviglFoY2nXildDCcv&amp;si=3Inxq5egolTj3Lij" target="_blank" rel="noopener">Steve Brunton&rsquo;s series</a> along with <a href="https://www.youtube.com/watch?v=vSczTbgc8Rc" target="_blank" rel="noopener">Visual Kernel&rsquo;s video</a>. For those seeking more, I found <a href="https://stats.stackexchange.com/questions/2691/making-sense-of-principal-component-analysis-eigenvectors-eigenvalues" target="_blank" rel="noopener">this</a>, <a href="https://stats.stackexchange.com/questions/217995/what-is-an-intuitive-explanation-for-how-pca-turns-from-a-geometric-problem-wit" target="_blank" rel="noopener">this</a>, and <a href="https://stats.stackexchange.com/questions/10251/what-is-the-objective-function-of-pca/10256#10256" target="_blank" rel="noopener">this</a> helpful.</p> <p>In closing, many of these data analysis techniques that we normally abstract away by calling some NumPy function, have far deeper meanings than we would oftentimes expect. I have only barely covered the surface of this topic, and would love to learn more eventually. One of the most important lessons I have learned throughout the past year is to balance and access the opportunity costs of the concepts one dedicates time to understand. If you would like any clarification on these topics, I highly recommend watching <a href="https://youtube.com/playlist?list=PLMrJAkhIeNNSVjnsviglFoY2nXildDCcv&amp;si=3Inxq5egolTj3Lij">Steve Brunton&rsquo;s series</a> along with <a href="https://www.youtube.com/watch?v=vSczTbgc8Rc">Visual Kernel&rsquo;s video</a>. For those seeking more, I found <a href="https://stats.stackexchange.com/questions/2691/making-sense-of-principal-component-analysis-eigenvectors-eigenvalues">this</a>, <a href="https://stats.stackexchange.com/questions/217995/what-is-an-intuitive-explanation-for-how-pca-turns-from-a-geometric-problem-wit">this</a>, and <a href="https://stats.stackexchange.com/questions/10251/what-is-the-objective-function-of-pca/10256#10256">this</a> helpful.</p>
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</article> </article>

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