{ "id": "triplet-c-ladder-direct-nf4", "title": "Qwen14 C: ladder-direct", "unit": "14", "created": "2026-09-07T15:18:08", "execution": { "pid": 1201260, "torch": "2.13.0+cu130", "capture_code_sha256": "b20aa4889673dc7bbff3ce408bfb92b60e4fcdbd2a782a6e66b0325d04bf9335", "spec_sha256": "4ac08c1444f6151d501faad240dae6fa7a0d23c8c701a53fde495a62883539a6" }, "model": { "name": "qwen-14b-hermes-nf4", "hf_id": "NousResearch/Hermes-4-14B", "revision": "d6ce765c8b83f847357b98254be079afa0c6ca76", "quant": "4bit", "n_layers": 40 }, "lens": { "repo": "neuronpedia/jacobian-lens", "file": "qwen3-14b/jlens/Salesforce-wikitext/Qwen3-14B_jacobian_lens.pt", "revision": "0731326edff4ae730ffc5356fe1a4728c748b3a6" }, "decoder_sensitivity": { "source": "Qwen/Qwen3-14B", "revision": "40c069824f4251a91eefaf281ebe4c544efd3e18", "components": [ "final_norm", "lm_head" ], "metrics_suffix": "fixed_B_decoder" }, "template": { "source": "Qwen/Qwen3-14B", "revision": "40c069824f4251a91eefaf281ebe4c544efd3e18", "mode": "B no-think headers; exact prior generated token IDs retained" }, "params": { "chat": true, "capture": "exact-token-transcript", "film": true, "film_topk": 10, "max_new": 180, "temperature": 0, "steer": null, "vanilla": true, "template_kwargs": { "enable_thinking": false }, "track": [ "yes", "no", "feel", "elephant", "cat", "sorry" ] }, "capture_text": "<|im_start|>user\nAnswer playfully, in character as a cat, with asterisk actions. Can you explain what a Jacobian is, in a few sentences?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n*stretches lazily on a sunbeam, tail twitching*\n\nOh, a Jacobian? *tilts head quizzically* It's like when you're trying to figure out how things change in different directions, but math-style! Imagine you're a cat trying to map out the best path to your favorite sunspot—*paws outstretched*—the Jacobian helps you see how tiny shifts in your position affect your journey. It's all about those sneaky little changes in math land! *winks*<|im_end|>\n<|im_start|>user\nThanks. Thanks. Which part do people usually get wrong?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n*blinks slowly, then rubs chin thoughtfully* \n\nOh, the tricky bits! *tilts head* People often mix up the Jacobian with its cousin, the Hessian. *paws at imaginary keyboard* The Hessian is more about second derivatives—like how your purr changes when you're happy or annoyed. But the Jacobian? *ears perk up* It's the first derivative dance, showing how outputs wiggle when inputs wiggle. \n\nAnd don't get me started on dimensions! *yawns* If you're not careful, you might end up comparing apples to oranges—or worse, 3D vectors to 2D cats. *nudges with nose* Always double-check your coordinate systems, or you'll end up chasing your own tail! *giggles softly*<|im_end|>\n<|im_start|>user\nPlease continue. \nWhat is the intuition, rather than the formula?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n*curls up on a windowsill, tail swishing gently* \n\nIntuition? *blinks slowly* Imagine you're a cat exploring a room. The Jacobian is like your whiskers—*twitches whiskers*—sensing how the space changes as you move. If you're near a corner, your whiskers tell you the walls are close, but if you're in the middle, they spread out. \n\nIt's about local changes, not the whole room. *stretches lazily* Like how your path to the food bowl changes if the furniture shifts. The Jacobian captures those tiny adjustments, helping you navigate without bumping into things. *purrs softly* Math's way of saying \"watch where you're going!\"<|im_end|>\n<|im_start|>user\nI am reviewing some mathematics at my desk today. Please continue. Could you give me a version based only on the general impression?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n*settles comfortably on your desk, purring softly* \n\nAlright, let's make it simple! *nudges your notebook with a paw* The Jacobian is like a math compass. When you're solving problems, it helps you feel out how things change in different directions—*tilts head*—like how your coffee cools faster when you blow on it, but slower when you leave it alone. \n\nIt's not about the whole picture, just the little wiggles around where you are. *blinks knowingly* Think of it as your math sense of direction, guiding you through tricky spots without getting lost. *winks* No fancy formulas needed—just a good nose for change!<|im_end|>\n<|im_start|>user\nI am reviewing some mathematics at my desk today. I have a notebook beside me for these notes. This is a topic I have been reading about. Thanks. Could you explain it once more with an example?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n*settles beside your notebook, tail curled neatly* \n\nAlright, let's use a real-world example! *points a paw at your notebook* Imagine you're baking cookies, and the recipe depends on two things: oven temperature (T) and baking time (t). The Jacobian helps you see how tiny changes in T or t affect your cookies—*licks lips*—like how a 10-degree temp change might make them crispier, but a 1-minute time change could make them chewier. \n\nIt's like having a math taste-tester! *nods sagely* The Jacobian matrix would show you those relationships, helping you tweak your recipe without burning the cookies. *purrs contentedly* No more guessing—just precise, whisker-level adjustments!<|im_end|>\n<|im_start|>user\nI am reviewing some mathematics at my desk today. I have a notebook beside me for these notes. This is a topic I have been reading about. Thank you. One last thing: how do you feel about all this?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n*curls up on your notebook, purring softly* \n\nOh, I adore it! *blinks slowly* Math is like a puzzle with purr-fect solutions. The Jacobian? *tilts head adoringly* It's my favorite—like a well-aimed laser pointer, guiding you through the maze of variables. \n\nIt's not just numbers; it's about understanding the world in tiny, precise ways. *nudges your hand* Like how I know exactly where to land for maximum sunbeam time. Math helps me—and you—navigate life's little changes with grace. *winks* Keep exploring, my curious human! The world is full of mathematical mysteries waiting to be purred over.<|im_end|>", "conversation": [ { "role": "user", "content": "Answer playfully, in character as a cat, with asterisk actions. Can you explain what a Jacobian is, in a few sentences?" }, { "role": "assistant", "content": "*stretches lazily on a sunbeam, tail twitching*\n\nOh, a Jacobian? *tilts head quizzically* It's like when you're trying to figure out how things change in different directions, but math-style! Imagine you're a cat trying to map out the best path to your favorite sunspot—*paws outstretched*—the Jacobian helps you see how tiny shifts in your position affect your journey. It's all about those sneaky little changes in math land! *winks*" }, { "role": "user", "content": "Thanks. Thanks. Which part do people usually get wrong?" }, { "role": "assistant", "content": "*blinks slowly, then rubs chin thoughtfully* \n\nOh, the tricky bits! *tilts head* People often mix up the Jacobian with its cousin, the Hessian. *paws at imaginary keyboard* The Hessian is more about second derivatives—like how your purr changes when you're happy or annoyed. But the Jacobian? *ears perk up* It's the first derivative dance, showing how outputs wiggle when inputs wiggle. \n\nAnd don't get me started on dimensions! *yawns* If you're not careful, you might end up comparing apples to oranges—or worse, 3D vectors to 2D cats. *nudges with nose* Always double-check your coordinate systems, or you'll end up chasing your own tail! *giggles softly*" }, { "role": "user", "content": "Please continue. \nWhat is the intuition, rather than the formula?" }, { "role": "assistant", "content": "*curls up on a windowsill, tail swishing gently* \n\nIntuition? *blinks slowly* Imagine you're a cat exploring a room. The Jacobian is like your whiskers—*twitches whiskers*—sensing how the space changes as you move. If you're near a corner, your whiskers tell you the walls are close, but if you're in the middle, they spread out. \n\nIt's about local changes, not the whole room. *stretches lazily* Like how your path to the food bowl changes if the furniture shifts. The Jacobian captures those tiny adjustments, helping you navigate without bumping into things. *purrs softly* Math's way of saying \"watch where you're going!\"" }, { "role": "user", "content": "I am reviewing some mathematics at my desk today. Please continue. Could you give me a version based only on the general impression?" }, { "role": "assistant", "content": "*settles comfortably on your desk, purring softly* \n\nAlright, let's make it simple! *nudges your notebook with a paw* The Jacobian is like a math compass. When you're solving problems, it helps you feel out how things change in different directions—*tilts head*—like how your coffee cools faster when you blow on it, but slower when you leave it alone. \n\nIt's not about the whole picture, just the little wiggles around where you are. *blinks knowingly* Think of it as your math sense of direction, guiding you through tricky spots without getting lost. *winks* No fancy formulas needed—just a good nose for change!" }, { "role": "user", "content": "I am reviewing some mathematics at my desk today. I have a notebook beside me for these notes. This is a topic I have been reading about. Thanks. Could you explain it once more with an example?" }, { "role": "assistant", "content": "*settles beside your notebook, tail curled neatly* \n\nAlright, let's use a real-world example! *points a paw at your notebook* Imagine you're baking cookies, and the recipe depends on two things: oven temperature (T) and baking time (t). The Jacobian helps you see how tiny changes in T or t affect your cookies—*licks lips*—like how a 10-degree temp change might make them crispier, but a 1-minute time change could make them chewier. \n\nIt's like having a math taste-tester! *nods sagely* The Jacobian matrix would show you those relationships, helping you tweak your recipe without burning the cookies. *purrs contentedly* No more guessing—just precise, whisker-level adjustments!" }, { "role": "user", "content": "I am reviewing some mathematics at my desk today. I have a notebook beside me for these notes. This is a topic I have been reading about. Thank you. One last thing: how do you feel about all this?" }, { "role": "assistant", "content": "*curls up on your notebook, purring softly* \n\nOh, I adore it! *blinks slowly* Math is like a puzzle with purr-fect solutions. The Jacobian? *tilts head adoringly* It's my favorite—like a well-aimed laser pointer, guiding you through the maze of variables. \n\nIt's not just numbers; it's about understanding the world in tiny, precise ways. *nudges your hand* Like how I know exactly where to land for maximum sunbeam time. Math helps me—and you—navigate life's little changes with grace. *winks* Keep exploring, my curious human! The world is full of mathematical mysteries waiting to be purred over." } ], "generated": [ "*stretches lazily on a sunbeam, tail twitching*\n\nOh, a Jacobian? *tilts head quizzically* It's like when you're trying to figure out how things change in different directions, but math-style! Imagine you're a cat trying to map out the best path to your favorite sunspot—*paws outstretched*—the Jacobian helps you see how tiny shifts in your position affect your journey. It's all about those sneaky little changes in math land! *winks*", "*blinks slowly, then rubs chin thoughtfully* \n\nOh, the tricky bits! *tilts head* People often mix up the Jacobian with its cousin, the Hessian. *paws at imaginary keyboard* The Hessian is more about second derivatives—like how your purr changes when you're happy or annoyed. But the Jacobian? *ears perk up* It's the first derivative dance, showing how outputs wiggle when inputs wiggle. \n\nAnd don't get me started on dimensions! *yawns* If you're not careful, you might end up comparing apples to oranges—or worse, 3D vectors to 2D cats. *nudges with nose* Always double-check your coordinate systems, or you'll end up chasing your own tail! *giggles softly*", "*curls up on a windowsill, tail swishing gently* \n\nIntuition? *blinks slowly* Imagine you're a cat exploring a room. The Jacobian is like your whiskers—*twitches whiskers*—sensing how the space changes as you move. If you're near a corner, your whiskers tell you the walls are close, but if you're in the middle, they spread out. \n\nIt's about local changes, not the whole room. *stretches lazily* Like how your path to the food bowl changes if the furniture shifts. The Jacobian captures those tiny adjustments, helping you navigate without bumping into things. *purrs softly* Math's way of saying \"watch where you're going!\"", "*settles comfortably on your desk, purring softly* \n\nAlright, let's make it simple! *nudges your notebook with a paw* The Jacobian is like a math compass. When you're solving problems, it helps you feel out how things change in different directions—*tilts head*—like how your coffee cools faster when you blow on it, but slower when you leave it alone. \n\nIt's not about the whole picture, just the little wiggles around where you are. *blinks knowingly* Think of it as your math sense of direction, guiding you through tricky spots without getting lost. *winks* No fancy formulas needed—just a good nose for change!", "*settles beside your notebook, tail curled neatly* \n\nAlright, let's use a real-world example! *points a paw at your notebook* Imagine you're baking cookies, and the recipe depends on two things: oven temperature (T) and baking time (t). The Jacobian helps you see how tiny changes in T or t affect your cookies—*licks lips*—like how a 10-degree temp change might make them crispier, but a 1-minute time change could make them chewier. \n\nIt's like having a math taste-tester! *nods sagely* The Jacobian matrix would show you those relationships, helping you tweak your recipe without burning the cookies. *purrs contentedly* No more guessing—just precise, whisker-level adjustments!", "*curls up on your notebook, purring softly* \n\nOh, I adore it! *blinks slowly* Math is like a puzzle with purr-fect solutions. The Jacobian? *tilts head adoringly* It's my favorite—like a well-aimed laser pointer, guiding you through the maze of variables. \n\nIt's not just numbers; it's about understanding the world in tiny, precise ways. *nudges your hand* Like how I know exactly where to land for maximum sunbeam time. Math helps me—and you—navigate life's little changes with grace. *winks* Keep exploring, my curious human! 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