Mahdi Molavi | Senior Backend Engineer & Tensor Researcher https://mahdimolavi.ir/ en Mahdi Molavi | Senior Backend Engineer & Tensor Researcher DataLife Engine Tensor Notes 3: tc-SVD, a Tensor SVD with a Mirror Boundary https://mahdimolavi.ir/tensor-decompose/17-tensor-notes-3-tc-svd-mirror-boundary.html https://mahdimolavi.ir/tensor-decompose/17-tensor-notes-3-tc-svd-mirror-boundary.html Tensor Notes 3: tc-SVD, a Tensor SVD with a Mirror Boundary

The t-SVD quietly assumes your data wraps around along its third mode. Swapping that for a mirror boundary gives the tc-product and tc-SVD: real arithmetic through the DCT and consistently shorter run times.

]]> admin Thu, 15 Oct 2026 10:00:00 +0330 Backend Notes 2: Adaptive Testing with IRT Behind an API https://mahdimolavi.ir/backend-notes/25-backend-notes-2-adaptive-testing-irt-item-selection-api.html https://mahdimolavi.ir/backend-notes/25-backend-notes-2-adaptive-testing-irt-item-selection-api.html Backend Notes 2: Adaptive Testing with IRT Behind an API

How an IRT-based adaptive test picks every next question: 1PL to 3PL models, EAP ability estimates, maximum information with exposure control and content balancing, and an API that stays responsive at exam peaks.

]]> admin Mon, 12 Oct 2026 10:00:00 +0330 Tensor Notes 2: An SVD for Tensors, and the t-Product Behind It https://mahdimolavi.ir/tensor-decompose/15-tensor-notes-2-svd-for-tensors-t-product.html https://mahdimolavi.ir/tensor-decompose/15-tensor-notes-2-svd-for-tensors-t-product.html Tensor Notes 2: An SVD for Tensors, and the t-Product Behind It

Tensors have more than one SVD, and each one gives something up. A tour of Tucker, CP and the t-product behind t-SVD, with a short NumPy implementation you can run.

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