yscv-autograd 0.1.9

Dynamic computation graph with tape-based reverse-mode autodiff
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
use yscv_tensor::Tensor;

use crate::Graph;

// ---- PixelShuffle backward ----

#[test]
fn backward_pixel_shuffle_basic() {
    let mut graph = Graph::new();
    // input [1, 1, 1, 4] with r=2 -> output [1, 2, 2, 1]
    let input =
        graph.variable(Tensor::from_vec(vec![1, 1, 1, 4], vec![1.0, 2.0, 3.0, 4.0]).unwrap());
    let out = graph.pixel_shuffle(input, 2).unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[1, 2, 2, 1]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[1, 1, 1, 4]);
    // Each input element maps to exactly one output element, so grad = 1
    for &g in i_grad.data() {
        assert!(
            (g - 1.0).abs() < 1e-6,
            "pixel shuffle grad: got {g}, expected 1.0"
        );
    }
}

#[test]
fn backward_pixel_shuffle_2x2_input() {
    let mut graph = Graph::new();
    // input [1, 2, 2, 4], r=2 -> output [1, 4, 4, 1]
    let data: Vec<f32> = (1..=16).map(|v| v as f32).collect();
    let input = graph.variable(Tensor::from_vec(vec![1, 2, 2, 4], data).unwrap());
    let out = graph.pixel_shuffle(input, 2).unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[1, 4, 4, 1]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[1, 2, 2, 4]);
    // Pixel shuffle is a permutation, so each grad element is 1
    for &g in i_grad.data() {
        assert!((g - 1.0).abs() < 1e-6);
    }
}

#[test]
fn backward_pixel_shuffle_numerical() {
    let eps = 1e-3;
    let input_data = vec![1.0, 2.0, 3.0, 4.0];

    let mut graph = Graph::new();
    let input = graph.variable(Tensor::from_vec(vec![1, 1, 1, 4], input_data.clone()).unwrap());
    let out = graph.pixel_shuffle(input, 2).unwrap();
    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();
    let analytic_grad = graph.grad(input).unwrap().unwrap().data().to_vec();

    for idx in 0..4 {
        let mut dp = input_data.clone();
        dp[idx] += eps;
        let mut gp = Graph::new();
        let inp = gp.variable(Tensor::from_vec(vec![1, 1, 1, 4], dp).unwrap());
        let o = gp.pixel_shuffle(inp, 2).unwrap();
        let lp = gp.value(o).unwrap().sum();

        let mut dm = input_data.clone();
        dm[idx] -= eps;
        let mut gm = Graph::new();
        let inp = gm.variable(Tensor::from_vec(vec![1, 1, 1, 4], dm).unwrap());
        let o = gm.pixel_shuffle(inp, 2).unwrap();
        let lm = gm.value(o).unwrap().sum();

        let numerical = (lp - lm) / (2.0 * eps);
        assert!(
            (analytic_grad[idx] - numerical).abs() < 1e-2,
            "pixel_shuffle numerical gradient mismatch at {idx}: analytic={}, numerical={}",
            analytic_grad[idx],
            numerical
        );
    }
}

// ---- UpsampleNearest backward ----

#[test]
fn backward_upsample_nearest_basic() {
    let mut graph = Graph::new();
    // input [1, 2, 2, 1], r=2 -> output [1, 4, 4, 1]
    let input =
        graph.variable(Tensor::from_vec(vec![1, 2, 2, 1], vec![1.0, 2.0, 3.0, 4.0]).unwrap());
    let out = graph.upsample_nearest(input, 2).unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[1, 4, 4, 1]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[1, 2, 2, 1]);
    // Each input element is repeated 2x2=4 times, so grad = 4
    for &g in i_grad.data() {
        assert!(
            (g - 4.0).abs() < 1e-6,
            "upsample nearest grad: got {g}, expected 4.0"
        );
    }
}

#[test]
fn backward_upsample_nearest_scale3() {
    let mut graph = Graph::new();
    // input [1, 1, 1, 2], r=3 -> output [1, 3, 3, 2]
    let input = graph.variable(Tensor::from_vec(vec![1, 1, 1, 2], vec![1.0, 2.0]).unwrap());
    let out = graph.upsample_nearest(input, 3).unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[1, 3, 3, 2]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    let i_grad = graph.grad(input).unwrap().unwrap();
    // Each element repeated 3x3=9 times, so grad = 9
    for &g in i_grad.data() {
        assert!(
            (g - 9.0).abs() < 1e-6,
            "upsample nearest r=3 grad: got {g}, expected 9.0"
        );
    }
}

// ---- RNN backward ----

#[test]
fn backward_rnn_produces_grads() {
    let mut graph = Graph::new();
    let input_size = 2;
    let hidden_size = 3;
    let seq_len = 4;

    let input = graph.variable(Tensor::filled(vec![seq_len, input_size], 0.5).unwrap());
    let w_ih = graph.variable(Tensor::filled(vec![input_size, hidden_size], 0.1).unwrap());
    let w_hh = graph.variable(Tensor::filled(vec![hidden_size, hidden_size], 0.1).unwrap());
    let bias = graph.variable(Tensor::zeros(vec![hidden_size]).unwrap());

    let out = graph.rnn_forward(input, w_ih, w_hh, bias).unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[seq_len, hidden_size]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    assert!(graph.grad(input).unwrap().is_some());
    assert!(graph.grad(w_ih).unwrap().is_some());
    assert!(graph.grad(w_hh).unwrap().is_some());
    assert!(graph.grad(bias).unwrap().is_some());

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[seq_len, input_size]);
    // Check grads are not all zero
    assert!(i_grad.data().iter().any(|&g| g.abs() > 1e-8));
}

#[test]
fn backward_rnn_numerical_gradient_check() {
    let eps = 1e-3;
    let input_data = vec![0.5, -0.3, 0.2, 0.7];
    let wih_data = vec![0.1, 0.2, -0.1, 0.3, -0.2, 0.1];
    let whh_data = vec![0.1, 0.05, -0.1, -0.05, 0.1, 0.02, 0.03, -0.1, 0.05];
    let bias_data = vec![0.0, 0.0, 0.0];

    // Analytic
    let mut graph = Graph::new();
    let input = graph.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
    let w_ih = graph.variable(Tensor::from_vec(vec![2, 3], wih_data.clone()).unwrap());
    let w_hh = graph.variable(Tensor::from_vec(vec![3, 3], whh_data.clone()).unwrap());
    let bias = graph.variable(Tensor::from_vec(vec![3], bias_data.clone()).unwrap());
    let out = graph.rnn_forward(input, w_ih, w_hh, bias).unwrap();
    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();
    let analytic_wih = graph.grad(w_ih).unwrap().unwrap().data().to_vec();

    // Numerical for w_ih
    for idx in 0..wih_data.len() {
        let mut wp = wih_data.clone();
        wp[idx] += eps;
        let mut gp = Graph::new();
        let inp = gp.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
        let wih_p = gp.variable(Tensor::from_vec(vec![2, 3], wp).unwrap());
        let whh_p = gp.variable(Tensor::from_vec(vec![3, 3], whh_data.clone()).unwrap());
        let b_p = gp.variable(Tensor::from_vec(vec![3], bias_data.clone()).unwrap());
        let o = gp.rnn_forward(inp, wih_p, whh_p, b_p).unwrap();
        let lp = gp.value(o).unwrap().sum();

        let mut wm = wih_data.clone();
        wm[idx] -= eps;
        let mut gm = Graph::new();
        let inp = gm.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
        let wih_m = gm.variable(Tensor::from_vec(vec![2, 3], wm).unwrap());
        let whh_m = gm.variable(Tensor::from_vec(vec![3, 3], whh_data.clone()).unwrap());
        let b_m = gm.variable(Tensor::from_vec(vec![3], bias_data.clone()).unwrap());
        let o = gm.rnn_forward(inp, wih_m, whh_m, b_m).unwrap();
        let lm = gm.value(o).unwrap().sum();

        let numerical = (lp - lm) / (2.0 * eps);
        assert!(
            (analytic_wih[idx] - numerical).abs() < 1e-2,
            "rnn w_ih grad mismatch at {idx}: analytic={}, numerical={}",
            analytic_wih[idx],
            numerical
        );
    }
}

// ---- LSTM backward ----

#[test]
fn backward_lstm_produces_grads() {
    let mut graph = Graph::new();
    let input_size = 2;
    let hidden_size = 3;
    let seq_len = 4;

    let input = graph.variable(Tensor::filled(vec![seq_len, input_size], 0.5).unwrap());
    let w_ih = graph.variable(Tensor::filled(vec![input_size, 4 * hidden_size], 0.05).unwrap());
    let w_hh = graph.variable(Tensor::filled(vec![hidden_size, 4 * hidden_size], 0.05).unwrap());
    let bias = graph.variable(Tensor::zeros(vec![4 * hidden_size]).unwrap());

    let out = graph.lstm_forward(input, w_ih, w_hh, bias).unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[seq_len, hidden_size]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    assert!(graph.grad(input).unwrap().is_some());
    assert!(graph.grad(w_ih).unwrap().is_some());
    assert!(graph.grad(w_hh).unwrap().is_some());
    assert!(graph.grad(bias).unwrap().is_some());

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[seq_len, input_size]);
    assert!(i_grad.data().iter().any(|&g| g.abs() > 1e-8));
}

#[test]
fn backward_lstm_numerical_gradient_check() {
    let eps = 1e-3;
    let input_data = vec![0.5, -0.3, 0.2, 0.7];
    let input_size = 2;
    let hidden_size = 2;
    let h4 = 4 * hidden_size;

    let mut wih_data = vec![0.0f32; input_size * h4];
    for (i, v) in wih_data.iter_mut().enumerate() {
        *v = ((i as f32 * 0.1) - 0.4).clamp(-0.3, 0.3);
    }
    let mut whh_data = vec![0.0f32; hidden_size * h4];
    for (i, v) in whh_data.iter_mut().enumerate() {
        *v = ((i as f32 * 0.05) - 0.2).clamp(-0.2, 0.2);
    }
    let bias_data = vec![0.0f32; h4];

    let mut graph = Graph::new();
    let input = graph.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
    let w_ih = graph.variable(Tensor::from_vec(vec![input_size, h4], wih_data.clone()).unwrap());
    let w_hh = graph.variable(Tensor::from_vec(vec![hidden_size, h4], whh_data.clone()).unwrap());
    let bias = graph.variable(Tensor::from_vec(vec![h4], bias_data.clone()).unwrap());
    let out = graph.lstm_forward(input, w_ih, w_hh, bias).unwrap();
    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();
    let analytic_wih = graph.grad(w_ih).unwrap().unwrap().data().to_vec();

    for idx in 0..wih_data.len() {
        let mut wp = wih_data.clone();
        wp[idx] += eps;
        let mut gp = Graph::new();
        let inp = gp.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
        let wih_p = gp.variable(Tensor::from_vec(vec![input_size, h4], wp).unwrap());
        let whh_p = gp.variable(Tensor::from_vec(vec![hidden_size, h4], whh_data.clone()).unwrap());
        let b_p = gp.variable(Tensor::from_vec(vec![h4], bias_data.clone()).unwrap());
        let o = gp.lstm_forward(inp, wih_p, whh_p, b_p).unwrap();
        let lp = gp.value(o).unwrap().sum();

        let mut wm = wih_data.clone();
        wm[idx] -= eps;
        let mut gm = Graph::new();
        let inp = gm.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
        let wih_m = gm.variable(Tensor::from_vec(vec![input_size, h4], wm).unwrap());
        let whh_m = gm.variable(Tensor::from_vec(vec![hidden_size, h4], whh_data.clone()).unwrap());
        let b_m = gm.variable(Tensor::from_vec(vec![h4], bias_data.clone()).unwrap());
        let o = gm.lstm_forward(inp, wih_m, whh_m, b_m).unwrap();
        let lm = gm.value(o).unwrap().sum();

        let numerical = (lp - lm) / (2.0 * eps);
        assert!(
            (analytic_wih[idx] - numerical).abs() < 5e-2,
            "lstm w_ih grad mismatch at {idx}: analytic={}, numerical={}",
            analytic_wih[idx],
            numerical
        );
    }
}

// ---- GRU backward ----

#[test]
fn backward_gru_produces_grads() {
    let mut graph = Graph::new();
    let input_size = 2;
    let hidden_size = 3;
    let seq_len = 4;
    let h3 = 3 * hidden_size;

    let input = graph.variable(Tensor::filled(vec![seq_len, input_size], 0.5).unwrap());
    let w_ih = graph.variable(Tensor::filled(vec![input_size, h3], 0.05).unwrap());
    let w_hh = graph.variable(Tensor::filled(vec![hidden_size, h3], 0.05).unwrap());
    let bias_ih = graph.variable(Tensor::zeros(vec![h3]).unwrap());
    let bias_hh = graph.variable(Tensor::zeros(vec![h3]).unwrap());

    let out = graph
        .gru_forward(input, w_ih, w_hh, bias_ih, bias_hh)
        .unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[seq_len, hidden_size]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    assert!(graph.grad(input).unwrap().is_some());
    assert!(graph.grad(w_ih).unwrap().is_some());
    assert!(graph.grad(w_hh).unwrap().is_some());
    assert!(graph.grad(bias_ih).unwrap().is_some());
    assert!(graph.grad(bias_hh).unwrap().is_some());

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[seq_len, input_size]);
    assert!(i_grad.data().iter().any(|&g| g.abs() > 1e-8));
}

#[test]
fn backward_gru_numerical_gradient_check() {
    let eps = 1e-3;
    let input_data = vec![0.5, -0.3, 0.2, 0.7];
    let input_size = 2;
    let hidden_size = 2;
    let h3 = 3 * hidden_size;

    let mut wih_data = vec![0.0f32; input_size * h3];
    for (i, v) in wih_data.iter_mut().enumerate() {
        *v = ((i as f32 * 0.1) - 0.3).clamp(-0.3, 0.3);
    }
    let mut whh_data = vec![0.0f32; hidden_size * h3];
    for (i, v) in whh_data.iter_mut().enumerate() {
        *v = ((i as f32 * 0.05) - 0.15).clamp(-0.2, 0.2);
    }
    let bih_data = vec![0.0f32; h3];
    let bhh_data = vec![0.0f32; h3];

    let mut graph = Graph::new();
    let input = graph.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
    let w_ih = graph.variable(Tensor::from_vec(vec![input_size, h3], wih_data.clone()).unwrap());
    let w_hh = graph.variable(Tensor::from_vec(vec![hidden_size, h3], whh_data.clone()).unwrap());
    let bih = graph.variable(Tensor::from_vec(vec![h3], bih_data.clone()).unwrap());
    let bhh = graph.variable(Tensor::from_vec(vec![h3], bhh_data.clone()).unwrap());
    let out = graph.gru_forward(input, w_ih, w_hh, bih, bhh).unwrap();
    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();
    let analytic_wih = graph.grad(w_ih).unwrap().unwrap().data().to_vec();

    for idx in 0..wih_data.len() {
        let mut wp = wih_data.clone();
        wp[idx] += eps;
        let mut gp = Graph::new();
        let inp = gp.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
        let wih_p = gp.variable(Tensor::from_vec(vec![input_size, h3], wp).unwrap());
        let whh_p = gp.variable(Tensor::from_vec(vec![hidden_size, h3], whh_data.clone()).unwrap());
        let bih_p = gp.variable(Tensor::from_vec(vec![h3], bih_data.clone()).unwrap());
        let bhh_p = gp.variable(Tensor::from_vec(vec![h3], bhh_data.clone()).unwrap());
        let o = gp.gru_forward(inp, wih_p, whh_p, bih_p, bhh_p).unwrap();
        let lp = gp.value(o).unwrap().sum();

        let mut wm = wih_data.clone();
        wm[idx] -= eps;
        let mut gm = Graph::new();
        let inp = gm.variable(Tensor::from_vec(vec![2, 2], input_data.clone()).unwrap());
        let wih_m = gm.variable(Tensor::from_vec(vec![input_size, h3], wm).unwrap());
        let whh_m = gm.variable(Tensor::from_vec(vec![hidden_size, h3], whh_data.clone()).unwrap());
        let bih_m = gm.variable(Tensor::from_vec(vec![h3], bih_data.clone()).unwrap());
        let bhh_m = gm.variable(Tensor::from_vec(vec![h3], bhh_data.clone()).unwrap());
        let o = gm.gru_forward(inp, wih_m, whh_m, bih_m, bhh_m).unwrap();
        let lm = gm.value(o).unwrap().sum();

        let numerical = (lp - lm) / (2.0 * eps);
        assert!(
            (analytic_wih[idx] - numerical).abs() < 5e-2,
            "gru w_ih grad mismatch at {idx}: analytic={}, numerical={}",
            analytic_wih[idx],
            numerical
        );
    }
}

// ---- DeformableConv2d backward ----

#[test]
fn backward_deformable_conv2d_produces_grads() {
    let mut graph = Graph::new();
    // input [1, 3, 3, 1], weight [2, 2, 1, 1], zero offsets, stride=1, padding=0
    // output = [1, 2, 2, 1]
    let input = graph
        .variable(Tensor::from_vec(vec![1, 3, 3, 1], (1..=9).map(|v| v as f32).collect()).unwrap());
    let weight = graph.variable(Tensor::filled(vec![2, 2, 1, 1], 0.25).unwrap());
    // offsets: [1, 2, 2, 2*2*2] = [1, 2, 2, 8], all zeros
    let offsets = graph.variable(Tensor::zeros(vec![1, 2, 2, 8]).unwrap());

    let out = graph
        .deformable_conv2d_nhwc(input, weight, offsets, None, 1, 0)
        .unwrap();
    assert_eq!(graph.value(out).unwrap().shape(), &[1, 2, 2, 1]);

    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    let i_grad = graph.grad(input).unwrap().unwrap();
    assert_eq!(i_grad.shape(), &[1, 3, 3, 1]);
    assert!(i_grad.data().iter().any(|&g| g.abs() > 1e-8));

    let w_grad = graph.grad(weight).unwrap().unwrap();
    assert_eq!(w_grad.shape(), &[2, 2, 1, 1]);
    assert!(w_grad.data().iter().any(|&g| g.abs() > 1e-8));
}

#[test]
fn backward_deformable_conv2d_with_bias() {
    let mut graph = Graph::new();
    let input = graph.variable(Tensor::filled(vec![1, 3, 3, 1], 1.0).unwrap());
    let weight = graph.variable(Tensor::filled(vec![2, 2, 1, 1], 0.5).unwrap());
    let offsets = graph.variable(Tensor::zeros(vec![1, 2, 2, 8]).unwrap());
    let bias = graph.variable(Tensor::from_vec(vec![1], vec![0.1]).unwrap());

    let out = graph
        .deformable_conv2d_nhwc(input, weight, offsets, Some(bias), 1, 0)
        .unwrap();
    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();

    let b_grad = graph.grad(bias).unwrap().unwrap();
    assert_eq!(b_grad.shape(), &[1]);
    // bias grad = number of output elements = 2*2 = 4
    assert!((b_grad.data()[0] - 4.0).abs() < 1e-4);
}

#[test]
fn backward_deformable_conv2d_zero_offsets_matches_standard_conv() {
    // With zero offsets, deformable conv should produce same result as standard conv (no padding)
    let mut graph = Graph::new();
    let input_data: Vec<f32> = (1..=9).map(|v| v as f32).collect();
    let weight_data = vec![0.25f32; 4];

    let input = graph.variable(Tensor::from_vec(vec![1, 3, 3, 1], input_data.clone()).unwrap());
    let weight = graph.variable(Tensor::from_vec(vec![2, 2, 1, 1], weight_data.clone()).unwrap());
    let offsets = graph.variable(Tensor::zeros(vec![1, 2, 2, 8]).unwrap());
    let out = graph
        .deformable_conv2d_nhwc(input, weight, offsets, None, 1, 0)
        .unwrap();
    let loss = graph.sum(out).unwrap();
    graph.backward(loss).unwrap();
    let deform_w_grad = graph.grad(weight).unwrap().unwrap().data().to_vec();

    // Standard conv2d
    let mut graph2 = Graph::new();
    let input2 = graph2.variable(Tensor::from_vec(vec![1, 3, 3, 1], input_data).unwrap());
    let weight2 = graph2.variable(Tensor::from_vec(vec![2, 2, 1, 1], weight_data).unwrap());
    let out2 = graph2.conv2d_nhwc(input2, weight2, None, 1, 1).unwrap();
    let loss2 = graph2.sum(out2).unwrap();
    graph2.backward(loss2).unwrap();
    let standard_w_grad = graph2.grad(weight2).unwrap().unwrap().data().to_vec();

    for (i, (&d, &s)) in deform_w_grad.iter().zip(standard_w_grad.iter()).enumerate() {
        assert!(
            (d - s).abs() < 1e-3,
            "deformable vs standard weight grad mismatch at {i}: deform={d}, standard={s}"
        );
    }
}